{"commit":"3c4a97e57c36fddc3b7ad195598d5a478883b1b2","subject":"working on TDRF experiment","message":"working on TDRF experiment\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_tdrf.als","new_file":"mappings\/c11_tdrf.als","new_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\nopen ..\/models\/tsc[E] as N\n\nmodule c11_tdrf[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  not (N\/consistent[none->none,X])\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 6 E\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'mappings\/c11_tdrf.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"926cad3f2b2ac96b2896af2d0f717f1f1867c228","subject":"change indent","message":"change indent\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"allopy\/generate_test_target.als","new_file":"allopy\/generate_test_target.als","new_contents":"sig Person {\n   love: Person\n}\n\nrun {\n   some x: Person {\n      x.love.love = x\n   }\n}","old_contents":"sig Person {\n    love: Person\n}\n\nrun {\n    some x: Person {\n         x.love.love = x\n    }\n}","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"cc93aed7529c79ec9cc3cf6683eacf31b190f4f6","subject":"alloy file added for demo.","message":"alloy file added for demo.","repos":"ModelWriter\/Tarski,ModelWriter\/Tarski,ModelWriter\/Tarski,ModelWriter\/WP3,ModelWriter\/WP3,ModelWriter\/WP3","old_file":"Source\/eu.modelwriter.configuration\/RequirementNoOpposite.als","new_file":"Source\/eu.modelwriter.configuration\/RequirementNoOpposite.als","new_contents":"module ferhat\/Requirement\r\n\r\nabstract sig Element {}\r\n\r\n--@exclude\r\nabstract sig State {}\r\n\r\nabstract sig ElementState extends State {}\r\none sig Deleted, Changed, Created extends ElementState {}\r\n\r\nabstract sig TaskState extends State {}\r\none sig Done, ToDo, Cancelled, Ready extends TaskState {}\r\n\r\nabstract sig Requirement extends Element {\r\n\tstate: one ElementState\r\n}\r\n\r\nsig Task extends Element {\r\n\tprecede: lone Task,\r\n\tstate: one TaskState\r\n}{ all t: Task | one t.~task}\r\n\r\n\r\none sig Project extends Requirement {\r\n\trequirement: some ContractRequirement\r\n}\r\n\r\nsig ContractRequirement extends Requirement {\r\n\tsystem: set SystemRequirement,\r\n\trelate: set ContractRequirement\r\n}{all c: ContractRequirement | one c.~requirement}\r\n\r\n--@name: \"System Requirement\"\r\nsig SystemRequirement extends Requirement { \r\n\tchild: some Implementation\r\n}{ all s: SystemRequirement | one s.~system}\r\n\r\nabstract sig Implementation extends Requirement {\r\n\ttask: set Task\r\n}\r\n{ all i: Implementation | one i.~child}\r\n\r\n--@context.editor: \"ReqIFEditor\" \/\/context'leri bir attribute ile tan\u0131t kullan\u0131c\u0131 dok\u00fcmanlar\u0131n\u0131 yarat\u0131rken bunlardan se\u00e7sin\r\n\/\/contenttype\r\nsig SoftwareRequirement extends Implementation {\r\n\ttest: some TestCase\r\n}\r\n\r\nsig HardwareRequirement extends Implementation {}\r\n\r\nsig TestCase extends Element {\r\n}{ all t:TestCase  | one t.~test}\r\n\r\n\r\nfact noSelfRelation{\r\n\tno c: ContractRequirement | c in c.relate\r\n\tno t: Task | t in t.precede\r\n}\r\n\r\nfact noCycles{\r\n\tno t:Task | t in t.^precede\r\n}\r\n\r\nfact realismConstraint {\r\n\tsome ContractRequirement \r\n\tsome HardwareRequirement \r\n\tsome SoftwareRequirement\r\n\tsome precede\r\n}\r\n\r\n\/* Counterexample Finding *\/\r\n\r\n\r\n\/* Instance Finding *\/\r\npred example {\r\n\t#ContractRequirement >1 and #SystemRequirement >2  and \r\n\t#SoftwareRequirement >1 and #HardwareRequirement >1 and\r\n\t#precede >1 and #task >1 #(Task <: state).Cancelled >1 and \r\n\t#(Requirement <: state).Created >4 and  \r\n\t#(Requirement <: state).Changed >1 and \r\n\t#(Requirement <: state).Deleted >1\r\n}\r\nrun example for exactly 20 Element\r\n\r\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'Source\/eu.modelwriter.configuration\/RequirementNoOpposite.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"b412622777338e8c28ce1ad217f0ebee73e4760a","subject":"shrink scope. simple_maze_tile.als can be solved 7x7 tiles with 4096MB heaps.","message":"shrink scope. simple_maze_tile.als can be solved 7x7 tiles with 4096MB heaps.\n","repos":"nagachika\/maze_maker,nagachika\/maze_maker,nagachika\/maze_maker","old_file":"alloy\/simple_maze_tile.als","new_file":"alloy\/simple_maze_tile.als","new_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u96a3\u63a5\u3059\u308b Tile\nfun adjacent (t: Tile) : Tile {\n  let col = tile.t.Row, row = tile.t[Col] |\n    tile[col.prev, row] +\n    tile[col.next, row] +\n    tile[col, row.prev] +\n    tile[col, row.next]\n}\n\nsig Tile {\n  link: some Tile\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  no this & link\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Tile\n  link in adjacent[this]\n}\n\none sig Entrance extends Tile {}\none sig Exit extends Tile {}\n\nsig Col {\n  tile: Row -> one Tile\n}\nsig Row {}\n\n\/\/  Tile \u304c\u76e4\u306e\u7aef\npred edge (t: Tile) {\n  let col = tile.t.Row, row = tile.t[Col] |\n    col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ tile \u306b\u542b\u307e\u308c\u306a\u3044 Tile \u306f\u306a\u3057\n  Tile in tile[Col, Row]\n  \/\/ Row, Col \u306e\u7d44\u3068 Tile \u306f\u5fc5\u305a1\u5bfe1\u5bfe\u5fdc\n  all t: Tile | one tile.t\n  \/\/ link \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  link = ~link\n  \/\/ \u5168\u3066\u306e Tile \u306f link \u3067\u7e4b\u304c\u308b\n  all t: Tile | t.^link = Tile\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[Entrance]\n  edge[Exit]\n}\n\nrun {\n} for exactly 7 Col, exactly 7 Row, exactly 49 Tile\n","old_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u96a3\u63a5\u3059\u308b Tile\nfun adjacent (t: Tile) : Tile {\n  let col = tile.t.Row, row = tile.t[Col] |\n    tile[col.prev, row] +\n    tile[col.next, row] +\n    tile[col, row.prev] +\n    tile[col, row.next]\n}\n\nsig Tile {\n  link: some Tile\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  no this & link\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Tile\n  link in adjacent[this]\n}\n\none sig Entrance extends Tile {}\none sig Exit extends Tile {}\n\nsig Col {\n  tile: Row -> one Tile\n}\nsig Row {}\n\n\/\/  Tile \u304c\u76e4\u306e\u7aef\npred edge (t: Tile) {\n  let col = tile.t.Row, row = tile.t[Col] |\n    col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ tile \u306b\u542b\u307e\u308c\u306a\u3044 Tile \u306f\u306a\u3057\n  Tile in tile[Col, Row]\n  \/\/ Row, Col \u306e\u7d44\u3068 Tile \u306f\u5fc5\u305a1\u5bfe1\u5bfe\u5fdc\n  all t: Tile | one tile.t\n  \/\/ link \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  link = ~link\n  \/\/ \u5168\u3066\u306e Tile \u306f link \u3067\u7e4b\u304c\u308b\n  all t: Tile | t.^link = Tile\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[Entrance]\n  edge[Exit]\n}\n\nrun {\n} for exactly 10 Col, exactly 10 Row, exactly 100 Tile\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"e261c292d3f549fe547ac83cbffe958c79f4a498","subject":"mystery modelling (not completed)","message":"mystery modelling (not completed)\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"mystery.als","new_file":"mystery.als","new_contents":"sig Person {}\n\nrun {} for 3 Person","old_contents":"","returncode":1,"stderr":"error: pathspec 'mystery.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"49964b487b1d7cd475454e3036ba7dd43667f10d","subject":"add pred sorted","message":"add pred sorted\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n\tno c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n\tno c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\tsorted[\n\t\t{ c: Col | is_black_head[c, r, cols\/prev]}.index,\n\t\ts.index]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\tsorted[\n\t\t{ r: Row | is_black_head[c, r, rows\/prev]}.index,\n\t\ts.index]\n}\n\npred sorted(xs: Int, s: seq Int){\n\t\/\/ s\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n\ts.elems = xs\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\t\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n\tno c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n\tno c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\ts.elems = { c: Col | is_black_head[c, r, cols\/prev]}\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n\ts.elems = { r: Row | is_black_head[c, r, rows\/prev]}\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"60fc274c9d162a75d488841ada03ce5bf5438751","subject":"Update the alloy axercise","message":"Update the alloy axercise\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"alloy\/tutorial_questions.als","new_file":"alloy\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate findModel below expresses that there exist black, yellow and final states\npred findModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ The run command below checks to see if the predicate can be satisfied in scope 1\nrun findModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which findModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $findModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run findModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if its successors are empty.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run findModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Modify the check command below to check finishable in a sufficiently large  scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"3c14706af873ecc4193d2e525b17a45d71aa8d88","subject":"Incomplete - task : First draft of Votail Journal Paper (Verification Chapter) ","message":"Incomplete - task : First draft of Votail Journal Paper (Verification Chapter) \n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- Copyright (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\t There are 8 winning-outcomes and 8 losing-outcomes, \n  of which 2 winning-outcomes and 4 losing-outcomes are for Plurality\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV),\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota (STV),\n\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected after transfers with at least one non-transferable surplus vote (STV),\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV),\n\n\t CompromiseWinner: elected on the last round of counting without quota but by plurality,\n\t TiedWinner:\t\t\t    elected by tie breaker in the last round,\n\n\t TiedLoser:\t\t\t     defeated only by tie breaker but reaches the threshold,\n  TiedSoreLoser:\t\t  defeated only by tie breaker but does not reach threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  SoreLoser: \t\t\t    defeated,but does not even reach the mimimum threshold of votes\n\n  EarlyLoserNonTransferable:\n                    reaches threshold but is eliminated with some non-transferable votes (STV),\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV),\n  EarlySoreLoser:   eliminated before last round, and below threshold (STV),\n  EarlySoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes (STV)\n\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            EarlyLoser, \n            EarlyLoserNonTransferable,\n            TiedSoreLoser, \n            SoreLoser,\n            EarlySoreLoser,\n            EarlySoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate election\n  wasted:\t\t \t set Ballot,\t -- Ballots non-transferable due to exhaustion of preferences\n\t outcome: \t\t Event\t\t      -- Path to election result for each candidate\n} {\n     \/\/ Ballots available for transfers but without further preferences\n     0 < #wasted iff (outcome = WinnerNonTransferable or \n                      outcome = QuotaWinnerNonTransferable or\n                      outcome = EarlyLoserNonTransferable or\n\t                     outcome = EarlySoreLoserNonTransferable)\n\n     \/\/ Ballots are only counted as wasted in they belong to the surplus, or\n     (outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n       implies wasted in surplus\n\n     \/\/ ... if the ballots are from an excluded candidate\n     (outcome = EarlyLoserNonTransferable or outcome = EarlySoreLoserNonTransferable)\n       implies wasted in votes + transfers\n\n     \/\/ Division of ballots into first preferences and transfers\n\t    no b: Ballot | b in votes & transfers\n\n     \/\/ Division of ballots into piles for each candidate\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n\n     \/\/ Selection of surplus ballots for re-distribution\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n\n     \/\/ Losers excluded but above threshold\n    \t(outcome = EarlyLoser or  \n      outcome = EarlyLoserNonTransferable) iff \n\t\t     (this in Scenario.eliminated and \n       not (#votes + #transfers < Scenario.threshold))\n\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies \n       Scenario.threshold <= #votes + #transfers\n     \n    \t\/\/ Plurality outcomes; 2 winning-outcomes and 4 losing-outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = EarlySoreLoserNonTransferable or\n     outcome = EarlySoreLoser or outcome = EarlySoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n    (outcome = Winner and Election.method = STV) implies\n       (Scenario.quota + #surplus = #votes) and #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n\n     \/\/ Existance of surplus ballots\n    \t0 < #surplus implies (outcome = SurplusWinner or outcome = AboveQuotaWinner or\n\t\t\t\t\t\toutcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner or skipped.outcome = WinnerNonTransferable or\n    skipped.outcome = QuotaWinnerNonTransferable or skipped.outcome = Winner or\n    skipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n\t\t\/* Mutual exclusions of outcomes:\n     see https:\/\/trac.ucd.ie\/repos\/software\/evoting\/V%C3%B3t%C3%A1il\/src\/ie\/votail\/model\/factory\/ScenarioFactory.java *\/\n  no disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = CompromiseWinner and a in winners and b in winners\n  no disj a,b: Candidate | a.outcome = Loser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = EarlyLoser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = EarlyLoserNonTransferable and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = CompromiseWinner and a in losers and b in winners\n  no disj a,b: Candidate | a.outcome = TiedSoreLoser and b.outcome = CompromiseWinner and a in losers and b in winners\n\n  \/\/ Mandatory pairs of outcomes: ties between winners and losers\n  all a: Candidate | some b: Candidate | (a in losers and (a.outcome = TiedLoser or a.outcome = TiedSoreLoser)) implies \n                                        (b in winners and b.outcome = TiedWinner)\n  all a: Candidate | some b: Candidate | (a in winners and a.outcome = TiedWinner) implies \n                                        (b in losers and (b.outcome = TiedLoser or b.outcome = TiedSoreLoser))\n                                        \n\n  \/\/ Other Definitions\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  \/\/ Definition of Threshold for PR-STV\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser or \n        d.outcome = EarlySoreLoser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner or \n     c.outcome = WinnerNonTransferable or c.outcome = QuotaWinnerNonTransferable) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n\n   \/\/ Winning outcomes\n\t  all c: Candidate | c in winners iff \n\t\t   (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\t   c.outcome = CompromiseWinner or \n\t\t   c.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\t   c.outcome = AboveQuotaWinner or\n     c.outcome = WinnerNonTransferable or\n     c.outcome = QuotaWinnerNonTransferable)\n\n  \/\/ Losing outcomes\n\t all c: Candidate | c in losers iff\n\t\t  (c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\t  c.outcome = TiedLoser or c.outcome = EarlySoreLoser or \n    c.outcome = TiedSoreLoser or\n    c.outcome = EarlySoreLoserNonTransferable or \n    c.outcome = EarlyLoserNonTransferable)\n\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n\n   \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t (l.outcome = TiedLoser or l.outcome = TiedSoreLoser) implies\n\t\t  (#l.votes + #l.transfers = #w.votes + #w.transfers)\n    all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser or b.outcome = EarlyLoserNonTransferable)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser) and\n    w.outcome = TiedWinner) implies \n    #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and \n  t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser or\n       l.outcome = EarlyLoserNonTransferable or l.outcome = EarlySoreLoser or\n       l.outcome = EarlySoreLoserNonTransferable) \n       implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  set Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: set Ballot,\t\t-- ballots for which preferences are exhausted\n  size:\t\t\t\t\t        Int \t\t\t      -- number of unspolit ballots\n}\n{\n  no b: Ballot | b in spoiltBallots and b in nonTransferables\n  size = #Ballot - #spoiltBallots\n\t all b: Ballot | b in spoiltBallots iff #b.preferences = 0\n  \/\/ All non-transferable ballots belong to an non-transferable surplus\n  all b: Ballot | some c: Candidate | b in nonTransferables implies \n    b in c.wasted\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n  method = Plurality or method = STV\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 08\n  day = 30\n}\n","old_contents":"-- Copyright (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\t There are 8 winning-outcomes and 8 losing-outcomes, \n  of which 2 winning-outcomes and 4 losing-outcomes are for Plurality\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV),\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota (STV),\n\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected after transfers with at least one non-transferable surplus vote (STV),\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV),\n\n\t CompromiseWinner: elected on the last round of counting without quota but by plurality,\n\t TiedWinner:\t\t\t    elected by tie breaker in the last round,\n\n\t TiedLoser:\t\t\t     defeated only by tie breaker but reaches the threshold,\n  TiedSoreLoser:\t\t  defeated only by tie breaker but does not reach threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  SoreLoser: \t\t\t    defeated, but does not even reach the mimimum threshold of votes\n\n  EarlyLoserNonTransferable:\n                    reaches threshold but is eliminated with some non-transferable votes (STV),\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV),\n  EarlySoreLoser:   eliminated before last round, and below threshold (STV),\n  EarlySoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes (STV)\n\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            EarlyLoser, \n            EarlyLoserNonTransferable,\n            TiedSoreLoser, \n            SoreLoser,\n            EarlySoreLoser,\n            EarlySoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate election\n  wasted:\t\t \t set Ballot,\t -- Ballots non-transferable due to exhaustion of preferences\n\t outcome: \t\t Event\t\t      -- Path to election result for each candidate\n} {\n     \/\/ Ballots available for transfers but without further preferences\n     0 < #wasted iff (outcome = WinnerNonTransferable or \n                      outcome = QuotaWinnerNonTransferable or\n                      outcome = EarlyLoserNonTransferable or\n\t                     outcome = EarlySoreLoserNonTransferable)\n\n     \/\/ Ballots are only counted as wasted in they belong to the surplus, or\n     (outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n       implies wasted in surplus\n\n     \/\/ ... if the ballots are from an excluded candidate\n     (outcome = EarlyLoserNonTransferable or outcome = EarlySoreLoserNonTransferable)\n       implies wasted in votes + transfers\n\n     \/\/ Division of ballots into first preferences and transfers\n\t    no b: Ballot | b in votes & transfers\n\n     \/\/ Division of ballots into piles for each candidate\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n\n     \/\/ Selection of surplus ballots for re-distribution\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n\n     \/\/ Losers excluded but above threshold\n    \t(outcome = EarlyLoser or  \n      outcome = EarlyLoserNonTransferable) iff \n\t\t     (this in Scenario.eliminated and \n       not (#votes + #transfers < Scenario.threshold))\n\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies \n       Scenario.threshold <= #votes + #transfers\n     \n    \t\/\/ Plurality outcomes; 2 winning-outcomes and 4 losing-outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = EarlySoreLoserNonTransferable or\n     outcome = EarlySoreLoser or outcome = EarlySoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n    (outcome = Winner and Election.method = STV) implies\n       (Scenario.quota + #surplus = #votes) and #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n\n     \/\/ Existance of surplus ballots\n    \t0 < #surplus implies (outcome = SurplusWinner or outcome = AboveQuotaWinner or\n\t\t\t\t\t\toutcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner or skipped.outcome = WinnerNonTransferable or\n    skipped.outcome = QuotaWinnerNonTransferable or skipped.outcome = Winner or\n    skipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n\t\t\/* Mutual exclusions of outcomes:\n     see https:\/\/trac.ucd.ie\/repos\/software\/evoting\/V%C3%B3t%C3%A1il\/src\/ie\/votail\/model\/factory\/ScenarioFactory.java *\/\n  no disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = CompromiseWinner and a in winners and b in winners\n  no disj a,b: Candidate | a.outcome = Loser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = EarlyLoser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = EarlyLoserNonTransferable and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedSoreLoser and a in losers and b in losers\n  no disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = CompromiseWinner and a in losers and b in winners\n  no disj a,b: Candidate | a.outcome = TiedSoreLoser and b.outcome = CompromiseWinner and a in losers and b in winners\n\n  \/\/ Mandatory pairs of outcomes: ties between winners and losers\n  all a: Candidate | some b: Candidate | (a in losers and (a.outcome = TiedLoser or a.outcome = TiedSoreLoser)) implies \n                                        (b in winners and b.outcome = TiedWinner)\n  all a: Candidate | some b: Candidate | (a in winners and a.outcome = TiedWinner) implies \n                                        (b in losers and (b.outcome = TiedLoser or b.outcome = TiedSoreLoser))\n                                        \n\n  \/\/ Other Definitions\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  \/\/ Definition of Threshold for PR-STV\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser or \n        d.outcome = EarlySoreLoser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner or \n     c.outcome = WinnerNonTransferable or c.outcome = QuotaWinnerNonTransferable) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n\n   \/\/ Winning outcomes\n\t  all c: Candidate | c in winners iff \n\t\t   (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\t   c.outcome = CompromiseWinner or \n\t\t   c.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\t   c.outcome = AboveQuotaWinner or\n     c.outcome = WinnerNonTransferable or\n     c.outcome = QuotaWinnerNonTransferable)\n\n  \/\/ Losing outcomes\n\t all c: Candidate | c in losers iff\n\t\t  (c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\t  c.outcome = TiedLoser or c.outcome = EarlySoreLoser or \n    c.outcome = TiedSoreLoser or\n    c.outcome = EarlySoreLoserNonTransferable or \n    c.outcome = EarlyLoserNonTransferable)\n\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n\n   \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t (l.outcome = TiedLoser or l.outcome = TiedSoreLoser) implies\n\t\t  (#l.votes + #l.transfers = #w.votes + #w.transfers)\n    all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser or b.outcome = EarlyLoserNonTransferable)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser) and\n    w.outcome = TiedWinner) implies \n    #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and \n  t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser or\n       l.outcome = EarlyLoserNonTransferable or l.outcome = EarlySoreLoser or\n       l.outcome = EarlySoreLoserNonTransferable) \n       implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  set Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: set Ballot,\t\t-- ballots for which preferences are exhausted\n  size:\t\t\t\t\t        Int \t\t\t      -- number of unspolit ballots\n}\n{\n  no b: Ballot | b in spoiltBallots and b in nonTransferables\n  size = #Ballot - #spoiltBallots\n\t all b: Ballot | b in spoiltBallots iff #b.preferences = 0\n  \/\/ All non-transferable ballots belong to an non-transferable surplus\n  all b: Ballot | some c: Candidate | b in nonTransferables implies \n    b in c.wasted\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n  method = Plurality or method = STV\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 08\n  day = 30\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"17052eca0df60cfe2faeffbe5dbc6c54cd7dbdd9","subject":"clean pred equal","message":"clean pred equal\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"combinator.als","new_file":"combinator.als","new_contents":"open util\/ordering[Term]\n\nsome abstract sig Term {}\n\none sig K extends Term {}\n\nsig Apply extends Term {\n\tf, g: Term\n}\n\nfact {\n\tall x, y: Term | (x -> y) in (f + g) => y not in (x.prevs + x)\n}\n\npred equal_k (x, y: Term) {\n\tx in Apply and x.f in Apply and x.f.f = K and y = x.f.g\n}\npred equal_k2 (x, y: Term) {\n\tone a, b: Term | x = apply[apply[K, a], b] and y = a\n}\ncheck {\n\tsome x, y: Term | equal_k[x, y] iff equal_k2[x, y]\n}\n\n\/\/pred equal_s (x, y: Term) {}\npred equal (x, y: Term) {\n\tequal_k[x, y]\/\/ or equal_s[x, y]\n}\n\nfun apply(x, y: Term): Term{\t\n\t{a: Apply | a.f = x and a.g = y }\n}\n\nfact {\n\tall x, y: Term | lone apply[x, y]\n}\n\nrun {\n\tsome x, y: Term | equal[x, y]\n} for 5 Term\n","old_contents":"open util\/ordering[Term]\n\nsome abstract sig Term {}\n\none sig K extends Term {}\n\nsig Apply extends Term {\n\tf, g: Term\n}\n\nfact {\n\tall x, y: Term | (x -> y) in (f + g) => y not in (x.prevs + x)\n}\n\npred equal (x, y: Term) {\n\tx in Apply and x.f in Apply and x.f.f = K and y = x.f.g\n}\n\nfun apply(x, y: Term): Term{\t\n\t{a: Apply | a.f = x and a.g = y }\n}\n\nrun {\n\tsome x, y: Term | equal[x, y]\n} for 5 Term\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"161fd474088882930b0e15e3dcf1bba4213bacff","subject":"Removed Spesh","message":"Removed Spesh\n","repos":"septract\/stellite-tool","old_file":"alloy\/c11Relat.als","new_file":"alloy\/c11Relat.als","new_contents":"module c11Relat\n\/\/ open util\/relation\n\n\/\/ TODO: don't have non-atomic actions in this model, just NA locations. \n\n\/\/ Disable non-atomics entirely\nfact { \n  no NonAtomic \n} \n\n\/\/ Locations can be local or global \nabstract sig Loc {} \nsig Glob, Thr extends Loc {} \n\n\/\/ Furthermore global locations can be atomic or nonatomic \nsig Atomic, NonAtomic in Glob {} \nfact { \n  Atomic + NonAtomic = Glob \n  disj [ Atomic, NonAtomic ] \n} \n\nsig Val {} \none sig Init in Val {} \/\/ Magic initialisation value\n\n\/\/ Actions kinds corresponding to different memory actions\nabstract sig Kind {} \none sig Read, Write, RMW, AssmEq extends Kind {} \n\n\/\/ Actions \nabstract sig Action {} \nsig Intern, Extern, Call, Ret extends Action {} \n\n\/\/ Locations are associated with actions correctly \npred locWF[ dom : set Action, \n            kind : Action -> Kind, \n            gloc : Action -> Glob, \n            lloc1, lloc2 : Intern -> Thr ] { \n    kind in (dom - (Call + Ret)) -> one Kind \n    no (Call + Ret).kind\n\n    gloc in (dom - (Call + Ret)) -> lone Glob\n    lloc1 in dom -> lone Thr\n    lloc2 in dom -> lone Thr\n\n    all a : dom | { \n      \/\/ All reads and writes access global locations\n      a in kind.(Read + Write + RMW)  iff  one a.gloc\n\n      \/\/ Reads and writes acces one local variable \n      a in kind.(Read + Write) & Intern  implies  { \n        one a.lloc1 and no a.lloc2\n      } \n\n      \/\/ Assume and RMW access two local variables\n      a in kind.(AssmEq + RMW) & Intern  implies  { \n        one a.lloc1 and one a.lloc2\n      } \n    } \n} \n\n\/\/ Values are associated with actions correctly \npred valWF[ dom : set Action,\n            kind : Action -> Kind, \n            wv, rv : Action -> Val ] { \n    wv in (dom - (Call + Ret)) -> lone Val\n    rv in (dom - (Call + Ret)) -> lone Val\n\n    \/\/ Writes have a written value, reads have a read value, RMW have both\n    all a : dom - (Call + Ret) | { \n      kind[a] in Write iff { \n        one a.wv\n        no a.rv\n      } \n      kind[a] in Read iff { \n        one a.rv\n        no a.wv\n      } \n      kind[a] in RMW iff { \n        one a.rv\n        one a.wv\n      } \n      \/\/ TODO: add case for no r\/w?  \n    } \n} \n\n\/\/ No transitive edges in the relation \npred is_core [ r : Action -> Action ] { \n  all a,b,c: Action | \n    (a -> b) + (b -> c) in ^r  implies  not (a -> c) in r \n} \n\n\/\/ SB is acyclic \npred SBwf [ dom : set Action, \n            kind : Action -> Kind,\n            sb: Action -> Action ] {\n  no iden & ^sb     \n} \n\n\/\/ HB is acyclic \npred HBacyc [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no iden & ^hb \n} \n\n\/\/ Find the last value written for a given local variable and action\nfun lastval [ dom : set Action, \n              kind : Action -> Kind, \n              lloc : Action -> Loc, \n              callmap : Thr -> Val, \n              rv : Action -> Val, \n              sb : Action -> Action, \n              curr : Action, \n              currloc : Loc ] : set Val { \n  { v : Val | \n    some r : dom & kind.Read | { \n      r.rv = v \n      r -> curr in ^sb \n      r.lloc = currloc \n      no r' : dom & kind.Read | { \n        (r -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      } \n    } \n  } \n    + \n  { v : Val | {\n      v = (currloc).callmap \n      (Call -> curr) in ^sb \n      no r' : dom & kind.Read | { \n        (Call -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      }  \n    } \n  } \n} \n\n\/\/ Write the value given at the call to the same local variable.\n\/\/ TODO: handle internal RMW  \npred RFwfLocal [ dom : set Action, \n                kind : Action -> Kind, \n                gloc : Action -> Loc, \n                lloc1, lloc2 : Action -> Loc, \n                callmap, retmap : Thr -> Val, \n                wv, rv : Action -> Val, \n                hb, sb, mo, rf : Action -> Action ] { \n  callmap in Thr -> one Val \n  retmap in Thr -> one Val \n\n  \/\/ Assumes demand equality on local var values\n  all a : dom & kind.AssmEq | { \n    lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc1] = \n      lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc2] \n  } \n\n  \/\/ Writes take the correct local var value \n  all w : dom & kind.Write | {\n    w.wv = lastval[dom, kind, lloc1, callmap, rv, sb, w, w.lloc1] \n  } \n\n  \/\/ The retmap takes the correct values. \n  all t : Thr | { \n    t.retmap = lastval[dom, kind, lloc1, callmap, rv, sb, Ret, t] \n  } \n} \n\n\/\/ RF is well-formed \npred RFwf [ dom : set Action, \n            kind : Action -> Kind,\n            loc : Action -> Loc, \n            wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  \/\/ Read from at most one write \n  rf in kind.(Write + RMW) lone -> kind.(Read + RMW) \n\n  \/\/ Irreflexive \n  no iden & rf \n\n  all r : dom & kind.(Read + RMW) | { \n    \/\/ Read from the same location written \n    (rf.r).loc in r.loc \n\n    \/\/ Value taken from origin write\n    \/\/ TODO: decide whether to allow assignments to Init\n    some rf.r implies r.rv = (rf.r).wv \/\/ and not r.rval in Init\n    no rf.r implies r.rv in Init \n\n    \/\/ Allow initialisation reads, but force actions to \n    \/\/ read from an explicit write if any is hb-available \n    \/\/ Note MO used here because r might be a RMW \n    (some (hb + mo).r & (kind.(Write + RMW) <: loc).(r.loc) ) \n          implies (some rf.r) \n    \/\/ TODO: Mark isn't completely convinced\n  } \n} \n\n\/\/ Define hb by combining rf with hb over atomics \npred HBdef [ dom : set Action, \n             kind : Action -> Kind,\n             loc : Action -> Loc, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  let aact = (dom <: loc).Atomic | \n  let sw = rf & (aact -> aact) | \n  hb = ^(sw + sb)\n} \n\n\/\/ Coherence order is respected\n\/\/ Note: this also covers the AtomRMW rule. \npred CoWR [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] {\n  all r : dom & kind.(Read + RMW), w1 : rf.r | \n    not { (w1 -> r) in mo.(hb + mo) } \n} \n\n\/\/ Modification order is well-formed\npred MOwf [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  mo = ^mo     \/\/ transitive\n  no iden & mo  \/\/ irreflexive \n  mo in kind.(Write + RMW) -> kind.(Write + RMW)\n  \n  \/\/ per-location total on atomics\n  all disj w1, w2 : kind.(Write + RMW) | \n     (w1 -> w2) in mo + ~mo iff \n       (w1.loc = w2.loc) and w1 + w2 in (dom <: loc.Atomic)\n} \n \n\n\/\/ HB and MO do not contradict one another\npred HBvsMO [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no hb & ~mo \n} \n\n\/\/ \/\/ Stronger version of this axiom: rule out cycles, not loops\n\/\/ pred HBMOacyc [ e : Execution ] { \n\/\/   no iden & ^(e.hb + e.mo) \n\/\/ } \n\n\/\/ Reads-from edges for NAs all follow hb \npred RFNonAtomic [ dom : set Action,  \n                   kind : Action -> Kind,\n                   loc : Action -> Loc, \n                   wv, rv : Action -> Val, \n                   hb, sb, mo, rf : Action -> Action ] { \n  let NA_reads = (dom <: loc).NonAtomic & kind.Read | \n     (rf :> NA_reads) in hb \n} \n\n\/\/ Combine the different predicates into execution validity \npred valid [ dom : set Action, \n             kind : Action -> Kind,\n             gloc : Action -> Glob, \n             lloc1, lloc2: Action -> Thr, \n             callmap, retmap : Thr -> Val, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ Sanity conditions\n  hb + sb + mo + rf in (dom -> dom) \n\n  \/\/ Pre-execution structure \n  locWF[dom, kind, gloc, lloc1, lloc2]  \n  valWF[dom, kind, wv, rv]\n  SBwf[dom, kind, sb]\n\n  \/\/ Local variable handling \n  RFwfLocal[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, hb, sb, mo, rf] \n  \/\/ Axioms \n  HBacyc[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBdef[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  CoWR[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  MOwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBvsMO[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFNonAtomic[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n} \n\n\/\/ Test whether the execution is DRF \npred DRF [ dom : set Action, \n           kind : Action -> Kind,\n           loc : Action -> Loc, \n           wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all l : NonAtomic | \n  all disj w, a : (dom <: loc).l | \n    (w in kind.Write) \n    and \n    (a in kind.(Write + Read)) \n    implies \n    (w -> a) in (hb + ~hb) \n} \n\n\/\/ The execution is sequential, i.e. sb is total\npred sequential [ dom : set Action, sb : Action -> Action ] { \n  all disj a1, a2 : dom |   a1 -> a2 in ^sb + ^(~sb)\n} \n\n\n\/*************************************************\/ \n\/* Tests                                         *\/ \n\/*************************************************\/ \n\n\/\/ run valid_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc)\n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6 but exactly 2 Thr, 0 Extern\n\/\/ \n\/\/  \n\/\/ run seq_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc) \n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      \/\/ check sequential \n\/\/      sequential[dom, sb]  \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6\n\/\/  \n\n\/\/ \/\/ Executions with no non-atomics are automatically DRF \n\/\/ check atomic_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]  \n\/\/        implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   }\n\/\/   for 30\n\/\/   but 0 NonAtomic \n\/\/ \n\/\/ \/\/ Sequential executions are automatically DRF \n\/\/ check seq_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/               loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/               hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       and sequential[dom, sb] \n\/\/     implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   } \n\/\/   for 10\n\/\/ \n\/\/ run litmus_SB \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_SB[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 6 \n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ run litmus_IRIW \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_IRIW[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 10\n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ \/*************************************************\/ \n\/\/ \/* Litmus test code                              *\/ \n\/\/ \/*************************************************\/ \n\/\/ \n\/\/ \/\/ SB litmus test without initialisation\n\/\/ pred code_SB [ dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write |  \n\/\/   some disj rx, ry : kind.Read |  { \n\/\/     dom = (wx + wy + rx + ry)\n\/\/     (wx -> ry) + (wy -> rx) in sb \/\/ allow stronger sb  \n\/\/     one wx.loc + rx.loc \n\/\/     one wy.loc + ry.loc \n\/\/     no wx.loc & wy.loc\n\/\/     no rf \/\/ read from initialisation \n\/\/   } \n\/\/ } \n\/\/ \n\/\/ \/\/ Comment from JPW - alloy simplifies rel = ((a->b) + (c->d)... \n\/\/ \/\/ Refactor this code? \n\/\/ \n\/\/ pred code_IRIW [ dom : set Action, kind : Action -> Kind,\n\/\/                  loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                  hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write | \n\/\/   some disj r1x, r2x, r1y, r2y : kind.Read | { \n\/\/     dom = wx + wy + r1x + r2x + r1y + r2y \n\/\/     rf = ((wx -> r1x) + (wy -> r2y)) \n\/\/     ((r1x -> r1y) + (r2y -> r2x)) in sb\n\/\/     one wx.loc + r1x.loc + r2x.loc \n\/\/     one wy.loc + r1y.loc + r2y.loc \n\/\/     no wx.loc & wy.loc \n\/\/   } \n\/\/ } \n\/\/ \n","old_contents":"module c11Relat\n\/\/ open util\/relation\n\n\/\/ TODO: Get rid of spesh, restrict Call \/ Ret to a singleton\n\n\/\/ TODO: don't have non-atomic actions in this model, just NA locations. \n\n\/\/ Disable non-atomics entirely\nfact { \n  no NonAtomic \n} \n\n\/\/ Locations can be local or global \nabstract sig Loc {} \nsig Glob, Thr extends Loc {} \n\n\/\/ Furthermore global locations can be atomic or nonatomic \nsig Atomic, NonAtomic in Glob {} \nfact { \n  Atomic + NonAtomic = Glob \n  disj [ Atomic, NonAtomic ] \n} \n\nsig Val {} \none sig Init in Val {} \/\/ Magic initialisation value\n\n\/\/ Actions kinds corresponding to different memory actions\nabstract sig Kind {} \none sig Read, Write, RMW, AssmEq, Spesh extends Kind {} \n\n\/\/ Actions \nabstract sig Action {} \nsig Intern, Extern, Call, Ret extends Action {} \n\n\/\/ Locations are associated with actions correctly \npred locWF[ dom : set Action, \n            kind : Action -> Kind, \n            gloc : Action -> Glob, \n            lloc1, lloc2 : Intern -> Thr ] { \n    kind in dom -> one Kind \n    gloc in (dom - (Call + Ret)) -> lone Glob\n    lloc1 in dom -> lone Thr\n    lloc2 in dom -> lone Thr\n\n    all a : dom | { \n      a in (Call + Ret) iff kind[a] in Spesh\n\n      \/\/ All reads and writes access global locations\n      a in kind.(Read + Write + RMW)  iff  one a.gloc\n\n      \/\/ Reads and writes acces one local variable \n      a in kind.(Read + Write) & Intern  implies  { \n        one a.lloc1 and no a.lloc2\n      } \n\n      \/\/ Assume and RMW access two local variables\n      a in kind.(AssmEq + RMW) & Intern  implies  { \n        one a.lloc1 and one a.lloc2\n      } \n    } \n} \n\n\/\/ Values are associated with actions correctly \npred valWF[ dom : set Action,\n            kind : Action -> Kind, \n            wv, rv : Action -> Val ] { \n    wv in (dom - (Call + Ret)) -> lone Val\n    rv in (dom - (Call + Ret)) -> lone Val\n\n    \/\/ Writes have a written value, reads have a read value, RMW have both\n    all a : dom - (Call + Ret) | { \n      kind[a] in Write iff { \n        one a.wv\n        no a.rv\n      } \n      kind[a] in Read iff { \n        one a.rv\n        no a.wv\n      } \n      kind[a] in RMW iff { \n        one a.rv\n        one a.wv\n      } \n      \/\/ TODO: add case for no r\/w?  \n    } \n} \n\n\/\/ No transitive edges in the relation \npred is_core [ r : Action -> Action ] { \n  all a,b,c: Action | \n    (a -> b) + (b -> c) in ^r  implies  not (a -> c) in r \n} \n\n\/\/ SB is acyclic \npred SBwf [ dom : set Action, \n            kind : Action -> Kind,\n            sb: Action -> Action ] {\n  no iden & ^sb     \n} \n\n\/\/ HB is acyclic \npred HBacyc [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no iden & ^hb \n} \n\n\/\/ Find the last value written for a given local variable and action\nfun lastval [ dom : set Action, \n              kind : Action -> Kind, \n              lloc : Action -> Loc, \n              callmap : Thr -> Val, \n              rv : Action -> Val, \n              sb : Action -> Action, \n              curr : Action, \n              currloc : Loc ] : set Val { \n  { v : Val | \n    some r : dom & kind.Read | { \n      r.rv = v \n      r -> curr in ^sb \n      r.lloc = currloc \n      no r' : dom & kind.Read | { \n        (r -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      } \n    } \n  } \n    + \n  { v : Val | {\n      v = (currloc).callmap \n      (Call -> curr) in ^sb \n      no r' : dom & kind.Read | { \n        (Call -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      }  \n    } \n  } \n} \n\n\/\/ Write the value given at the call to the same local variable.\n\/\/ TODO: handle internal RMW  \npred RFwfLocal [ dom : set Action, \n                kind : Action -> Kind, \n                gloc : Action -> Loc, \n                lloc1, lloc2 : Action -> Loc, \n                callmap, retmap : Thr -> Val, \n                wv, rv : Action -> Val, \n                hb, sb, mo, rf : Action -> Action ] { \n  callmap in Thr -> one Val \n  retmap in Thr -> one Val \n\n  \/\/ Assumes demand equality on local var values\n  all a : dom & kind.AssmEq | { \n    lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc1] = \n      lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc2] \n  } \n\n  \/\/ Writes take the correct local var value \n  all w : dom & kind.Write | {\n    w.wv = lastval[dom, kind, lloc1, callmap, rv, sb, w, w.lloc1] \n  } \n\n  \/\/ The retmap takes the correct values. \n  all t : Thr | { \n    t.retmap = lastval[dom, kind, lloc1, callmap, rv, sb, Ret, t] \n  } \n} \n\n\/\/ RF is well-formed \npred RFwf [ dom : set Action, \n            kind : Action -> Kind,\n            loc : Action -> Loc, \n            wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  \/\/ Read from at most one write \n  rf in kind.(Write + RMW) lone -> kind.(Read + RMW) \n\n  \/\/ Irreflexive \n  no iden & rf \n\n  all r : dom & kind.(Read + RMW) | { \n    \/\/ Read from the same location written \n    (rf.r).loc in r.loc \n\n    \/\/ Value taken from origin write\n    \/\/ TODO: decide whether to allow assignments to Init\n    some rf.r implies r.rv = (rf.r).wv \/\/ and not r.rval in Init\n    no rf.r implies r.rv in Init \n\n    \/\/ Allow initialisation reads, but force actions to \n    \/\/ read from an explicit write if any is hb-available \n    \/\/ Note MO used here because r might be a RMW \n    (some (hb + mo).r & (kind.(Write + RMW) <: loc).(r.loc) ) \n          implies (some rf.r) \n    \/\/ TODO: Mark isn't completely convinced\n  } \n} \n\n\/\/ Define hb by combining rf with hb over atomics \npred HBdef [ dom : set Action, \n             kind : Action -> Kind,\n             loc : Action -> Loc, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  let aact = (dom <: loc).Atomic | \n  let sw = rf & (aact -> aact) | \n  hb = ^(sw + sb)\n} \n\n\/\/ Coherence order is respected\n\/\/ Note: this also covers the AtomRMW rule. \npred CoWR [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] {\n  all r : dom & kind.(Read + RMW), w1 : rf.r | \n    not { (w1 -> r) in mo.(hb + mo) } \n} \n\n\/\/ Modification order is well-formed\npred MOwf [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  mo = ^mo     \/\/ transitive\n  no iden & mo  \/\/ irreflexive \n  mo in kind.(Write + RMW) -> kind.(Write + RMW)\n  \n  \/\/ per-location total on atomics\n  all disj w1, w2 : kind.(Write + RMW) | \n     (w1 -> w2) in mo + ~mo iff \n       (w1.loc = w2.loc) and w1 + w2 in (dom <: loc.Atomic)\n} \n \n\n\/\/ HB and MO do not contradict one another\npred HBvsMO [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no hb & ~mo \n} \n\n\/\/ \/\/ Stronger version of this axiom: rule out cycles, not loops\n\/\/ pred HBMOacyc [ e : Execution ] { \n\/\/   no iden & ^(e.hb + e.mo) \n\/\/ } \n\n\/\/ Reads-from edges for NAs all follow hb \npred RFNonAtomic [ dom : set Action,  \n                   kind : Action -> Kind,\n                   loc : Action -> Loc, \n                   wv, rv : Action -> Val, \n                   hb, sb, mo, rf : Action -> Action ] { \n  let NA_reads = (dom <: loc).NonAtomic & kind.Read | \n     (rf :> NA_reads) in hb \n} \n\n\/\/ Combine the different predicates into execution validity \npred valid [ dom : set Action, \n             kind : Action -> Kind,\n             gloc : Action -> Glob, \n             lloc1, lloc2: Action -> Thr, \n             callmap, retmap : Thr -> Val, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ Sanity conditions\n  hb + sb + mo + rf in (dom -> dom) \n\n  \/\/ Pre-execution structure \n  locWF[dom, kind, gloc, lloc1, lloc2]  \n  valWF[dom, kind, wv, rv]\n  SBwf[dom, kind, sb]\n\n  \/\/ Local variable handling \n  RFwfLocal[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, hb, sb, mo, rf] \n  \/\/ Axioms \n  HBacyc[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBdef[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  CoWR[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  MOwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBvsMO[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFNonAtomic[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n} \n\n\/\/ Test whether the execution is DRF \npred DRF [ dom : set Action, \n           kind : Action -> Kind,\n           loc : Action -> Loc, \n           wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all l : NonAtomic | \n  all disj w, a : (dom <: loc).l | \n    (w in kind.Write) \n    and \n    (a in kind.(Write + Read)) \n    implies \n    (w -> a) in (hb + ~hb) \n} \n\n\/\/ The execution is sequential, i.e. sb is total\npred sequential [ dom : set Action, sb : Action -> Action ] { \n  all disj a1, a2 : dom |   a1 -> a2 in ^sb + ^(~sb)\n} \n\n\n\/*************************************************\/ \n\/* Tests                                         *\/ \n\/*************************************************\/ \n\n\/\/ run valid_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc)\n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6 but exactly 2 Thr, 0 Extern\n\/\/ \n\/\/  \n\/\/ run seq_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc) \n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      \/\/ check sequential \n\/\/      sequential[dom, sb]  \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6\n\/\/  \n\n\/\/ \/\/ Executions with no non-atomics are automatically DRF \n\/\/ check atomic_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]  \n\/\/        implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   }\n\/\/   for 30\n\/\/   but 0 NonAtomic \n\/\/ \n\/\/ \/\/ Sequential executions are automatically DRF \n\/\/ check seq_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/               loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/               hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       and sequential[dom, sb] \n\/\/     implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   } \n\/\/   for 10\n\/\/ \n\/\/ run litmus_SB \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_SB[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 6 \n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ run litmus_IRIW \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_IRIW[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 10\n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ \/*************************************************\/ \n\/\/ \/* Litmus test code                              *\/ \n\/\/ \/*************************************************\/ \n\/\/ \n\/\/ \/\/ SB litmus test without initialisation\n\/\/ pred code_SB [ dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write |  \n\/\/   some disj rx, ry : kind.Read |  { \n\/\/     dom = (wx + wy + rx + ry)\n\/\/     (wx -> ry) + (wy -> rx) in sb \/\/ allow stronger sb  \n\/\/     one wx.loc + rx.loc \n\/\/     one wy.loc + ry.loc \n\/\/     no wx.loc & wy.loc\n\/\/     no rf \/\/ read from initialisation \n\/\/   } \n\/\/ } \n\/\/ \n\/\/ \/\/ Comment from JPW - alloy simplifies rel = ((a->b) + (c->d)... \n\/\/ \/\/ Refactor this code? \n\/\/ \n\/\/ pred code_IRIW [ dom : set Action, kind : Action -> Kind,\n\/\/                  loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                  hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write | \n\/\/   some disj r1x, r2x, r1y, r2y : kind.Read | { \n\/\/     dom = wx + wy + r1x + r2x + r1y + r2y \n\/\/     rf = ((wx -> r1x) + (wy -> r2y)) \n\/\/     ((r1x -> r1y) + (r2y -> r2x)) in sb\n\/\/     one wx.loc + r1x.loc + r2x.loc \n\/\/     one wy.loc + r1y.loc + r2y.loc \n\/\/     no wx.loc & wy.loc \n\/\/   } \n\/\/ } \n\/\/ \n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"cd0e46762b91f19b71744d712830ef030fe31410","subject":"Incomplete - task : Extend unit tests for complete coverage - updated model to clarify that non-sore losers are above the threshold","message":"Incomplete - task : Extend unit tests for complete coverage - updated model to clarify that non-sore losers are above the threshold\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner)\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = STV and 0 < #Ballot and #Election.candidates = 2\n}\nrun LW for 5 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n\tElection.method = STV\n    0 < #Ballot\n}\nrun SLQQW for 10 but 6 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 18\n  -- Dermot Cochran 2011-01-18\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner)\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1 and\n    (Scenario.threshold < #c1.votes + #c1.transfers)\n}\nrun LW for 10 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n\tElection.method = STV\n    0 < #Ballot\n}\nrun SLQQW for 10 but 6 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 18\n  -- Dermot Cochran 2011-01-18\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"e4da5cad5d3f7878bb65ab8b9704c9ab4a8951c0","subject":"mappings: remove unused experiment","message":"mappings: remove unused experiment\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_x86a.als","new_file":"mappings\/c11_x86a.als","new_contents":"","old_contents":"open ..\/archs\/exec_C[SE] as SW\nopen ..\/archs\/exec_x86[HE] as HW\n\n\/*\nA C11-to-x86 mapping that implements SC atomics using \natomic hardware events. Currently broken.\n*\/\n\nmodule c11_x86a[SE,HE]\n\nfun myfr_init [X:HW\/Exec_X86] : HE->HE {\n  ((stor[X.R]) - ((~(X.rf)) . (X.rf))) . (X.sloc) . (stor[X.W])\n}\n\nfun myfr [X:HW\/Exec_X86] : HE->HE {\n  (((myfr_init[X]) + ((~(X.rf)) . (X.co))) - iden)\n}\n\npred apply_map[X:SW\/Exec_C, X':HW\/Exec_X86, map:SE->HE] {\n\n  \/\/ two SW events cannot be compiled to a single HW event\n  map in X.EV lone -> X'.EV\n    \n  \/\/ HW reads\/writes cannot be invented by the compiler\n  all e : X'.(R+W) | one e.~map\n\n  \/\/ SW reads\/writes cannot be discarded by the compiler\n  all e : X.(R+W) | some e.map\n\n  \/\/ a read compiles to a single non-locked read\n  all e : X.(R - W) {\n    one e.map\n    e.map in X'.R - (X'.atom).univ\n  }\n    \n  \/\/ a non-SC write compiles to a single non-locked write\n  all e : X.((W - R) - SC) {\n    one e.map\n    e.map in X'.W - univ.(X'.atom)\n  }\n\n  \/\/ an SC write compiles to an RMW\n  all e : X.((W - R) & SC) | some disj e1,e2 : X'.EV {\n    e.map = e1 + e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n\n    \/\/ read does not observe a too-late value\n    (e2 -> e1) not in ((X'.co) . (X'.rf))\n\n    \/\/ read does not observe a too-early value\n    (e1 -> e2) not in ((myfr[X']) . (X'.co))\n  }\n\n  \/\/ RMWs compile to locked RMWs\n  all e : X.(R & W) | some disj e1, e2 : X'.EV {\n    e.map = e1 + e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n  }\n\n  \/\/ SC fences compile to full fences\n  all e : X.(F & SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (mfence[none->none,X']) . ~map\n  }\n \n  \/\/ sb edges are preserved (but more may be introduced)\n  X.sb in map . (X'.sb) . ~map\n  \n  \/\/ rf edges (except those entering the RMWs induced\n  \/\/ by SC writes) are preserved\n  let newR = X'.R & map[X.((W - R) & SC)] |\n  X'.rf - (X'.EV -> newR) = ~map . (X.rf) . map\n\n  \/\/ the mapping preserves co\n  X.co = map . (X'.co) . ~map\n\n  \/\/ the mapping preserves address dependencies\n  X.ad = map . (X'.ad) . ~map\n\n  \/\/ the mapping preserves data dependencies\n  X.dd = map . (X'.dd) . ~map\n\n  \/\/ the mapping preserves locations\n  X.sloc = map . (X'.sloc) . ~map\n    \n  \/\/ the mapping preserves control dependencies\n  X.cd in map . (X'.cd) . ~map\n\n  \/\/ the mapping preserves threads\n  X.sthd = map . (X'.sthd) . ~map\n\n  \/\/ the mapping preserves transactions\n  X.stxn = map . (X'.stxn) . ~map\n  X.ftxn = map . (X'.ftxn) . ~map\n\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"dc1ed97f5a27b1f74041b873b2274da1f057607a","subject":"Optimised encoding of the vote fragment table","message":"Optimised encoding of the vote fragment table\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier: Int,               -- Unique identifier for this candidate\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t\t-- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate,\n  top:\t\t\t\tInt,  \t\t\t\t\t-- Unique identifier of first preference candidate\n  length:\t\t\tInt  \t\t\t\t\t-- Number of preferences expressed on ballot\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies length = 1\n\ttop = preferences.first.identifier\n    length = #preferences\n    0 < length\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = top and v.ranking = 1\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\tInt,\t\t\t-- Ballot identifier\n    candidate: Int,\t\t-- Candidate identifier\n    ranking: Int\t\t\t-- Ranking of candidate on ballot paper\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= b.length\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.top = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Well formed ranking of candidates in ballots\nassert wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate\n}\ncheck wellFormedRanking for 6 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c0,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc0.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred TenDifferentBallots {\n\t#BallotBox.ballots = 10\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun TenDifferentBallots for 10 but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n\npred LongBallot {\n\tsome b: Ballot | b.length = 20\n}\nrun LongBallot for 20 int\n","old_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier: Int,               -- Unique identifier for this candidate\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t\t-- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate,\n  votes:\t\t\t\tseq Vote,\t\t\t-- Fragments of the vote\n  top:\t\t\t\tInt,  \t\t\t\t\t-- Unique identifier of first preference candidate\n  length:\t\t\tInt  \t\t\t\t\t-- Number of preferences expressed on ballot\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies length = 1\n\ttop = preferences.first.identifier\n    length = #preferences\n    0 < length\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = top and v.ranking = 1\n    all v: Vote | Election.method = STV and v in votes.elems implies v.ballot = identifier\n    votes.first.candidate = preferences.first.identifier\n    votes.last.candidate = preferences.last.identifier\n    votes.first.ranking = 1\n    votes.last.ranking = length\n    #votes = #preferences\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\tInt,\t\t\t-- Ballot identifier\n    candidate: Int,\t\t-- Candidate identifier\n    ranking: Int\t\t\t-- Ranking of candidate on ballot paper\n} {\n\t0 < ranking\n    some b: Ballot | b.identifier = ballot and this in b.votes.elems and ranking <= b.length\n    some c: Candidate | c.identifier = candidate\n    ranking <= #Election.candidates\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.top = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Non repeating ranking in ballots\nassert wellFormedRanking {\n}\ncheck wellFormedRanking for 6\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred TwentyBallots {\n\t#BallotBox.ballots = 20\n}\nrun TwentyBallots for 20 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c0,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc0.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred TenDifferentBallots {\n\t#BallotBox.ballots = 10\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun TenDifferentBallots for 10\n\n\n but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n\npred LongBallot {\n\tsome b: Ballot | b.length = 20\n}\nrun LongBallot for 20 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
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{"commit":"e4d3786300a6e3f2ee6a8cde94ca3a07ac9ca11a","subject":"further distinguishing Lidbury-Donaldson model","message":"further distinguishing Lidbury-Donaldson model\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"tests\/Q2_c11_lidbury_partial.als","new_file":"tests\/Q2_c11_lidbury_partial.als","new_contents":"open ..\/sw\/c11_lidbury[E] as M1\nopen ..\/sw\/c11_partial[E] as M2\n\nsig E {}\n\npred distinguishes[X:Exec_C] {\n  not (M1\/consistent[X])\n  dead[X]\n  M2\/consistent[X]\n\n  \/\/ For now, omit dependencies\n  no X.(ad+cd+dd)\n\n  \/\/ For now, omit RMWs\n  no X.(R&W)\n}\n\nrun t1 { some X:Exec_C {\n  distinguishes[X]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || r0 = load(y,RLX);\n\/\/ store(y,1,SC); || store(x,1,SC);\n\/\/ { r0==1 && x==2 }\n\nfun cycle1[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.rf) .\n  (stor[X.R & X.(A - acq)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co)\n}\n\nrun t2 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || store(y,2,RLX);\n\/\/ store(y,1,SC); || store(x,1,RLX);\n\/\/ { x==2 && y==2 }\n\n\nfun cycle2[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.co)\n}\n\nrun t3 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC);  || r0 = load(y,SC);\n\/\/ store(y,1,RLX); || store(x,1,REL);\n\/\/ { x==2 && r0==1 }\n\nfun cycle3[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.rf) .\n  (stor[X.R & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(rel - sc)]) .\n  (X.co)\n}\n\nrun t4 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n  irreflexive[cycle3[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives.......\n\n\n\n\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n\nrun t0 { some X:Exec_C {\n  distinguishes[X]\n  some disj e0,e1,e2:E {\n    e0 in X.(W-sc)\n    e1 in X.(W&sc)\n    e2 in X.(R-sc)\n    (e0->e2) in X.rf\n    (e0->e1) in M1\/hb[X] \n    (e0->e1) in X.sloc\n  }\n}} for 1 Exec, 5 E, 3 Int\n","old_contents":"open ..\/sw\/c11_lidbury[E] as M1\nopen ..\/sw\/c11_partial[E] as M2\n\nsig E {}\n\npred distinguishes[X:Exec_C] {\n  not (M1\/consistent[X])\n  dead[X]\n  M2\/consistent[X]\n\n  \/\/ For now, omit dependencies\n  no X.(ad+cd+dd)\n\n  \/\/ For now, omit RMWs\n  no X.(R&W)\n}\n\nrun t1 { some X:Exec_C {\n  distinguishes[X]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || r0 = load(y,RLX);\n\/\/ store(y,1,SC); || store(x,1,SC);\n\/\/ { r0==1 && x==2 }\n\nfun cycle1[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.rf) .\n  (stor[X.R & X.(A - acq)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co)\n}\n\nrun t2 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || store(y,2,RLX);\n\/\/ store(y,1,SC); || store(x,1,RLX);\n\/\/ { x==2 && y==2 }\n\n\nfun cycle2[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.co)\n}\n\nrun t3 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC);  || r0 = load(y,SC);\n\/\/ store(y,1,RLX); || store(x,1,REL);\n\/\/ { x==2 && r0==1 }\n\nfun cycle3[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.rf) .\n  (stor[X.R & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(rel - sc)]) .\n  (X.co)\n}\n\nrun t4 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n  irreflexive[cycle3[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives.......\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"2237e8ad1fd93fdd535eb2cd435e5f5abf5f6515","subject":"fix in auth","message":"fix in auth\n","repos":"danydunk\/Augusto,danydunk\/Augusto","old_file":"files\/alloy\/AUTH_without_unvalid.als","new_file":"files\/alloy\/AUTH_without_unvalid.als","new_contents":"--------------------Initial State---------------\npred init [t: Time] {\n\tno Track.op.t\n \tCurrent_window.is_in.t = aws.Login\n\t#List.elements.t = 0\n}\n---------------Generic AUTH Structure ----------\nabstract sig Go, Login, Signup, Ok, Cancel, Logout extends Action_widget { }\nabstract sig User, Password, User_save, Password_save, Re_password, Field extends Input_widget { }\n\nfact {\n\t(User_save+Password_save+Re_password) in Property_required.requireds\n\t(User_save+Password_save) in Property_unique.uniques\n}\n---------------Generic AUTH Semantics---------- \none sig Property_unique{\n\tuniques: set Input_widget\n} \none sig Property_required{\n\trequireds: set Input_widget\n}\nsig Object_inlist extends Object{\n\tvs: Value lone -> Input_widget\n}\none sig List {\n\telements: Object_inlist set -> Time\n}\npred fill_semantics [iw: Input_widget, t: Time, v: Value] { }\npred fill_success_post [iw: Input_widget, t, t': Time, v: Value] {  \n\t\tList.elements.t' =  List.elements.t\n}\npred fill_fail_post [iw: Input_widget, t, t': Time, v: Value] {\n\t\tList.elements.t' =  List.elements.t\n}\npred fill_pre[iw: Input_widget, t: Time, v: Value] { \n\t\/\/#iw.content.(T\/first) = 1 => not(v = none)\n}\n\npred select_semantics [sw: Selectable_widget, t: Time, o: Object] { }\npred select_success_post [sw: Selectable_widget, t, t': Time, o: Object] { \n\t\t\/\/List.elements.t' =  List.elements.t\n}\npred select_fail_post [sw: Selectable_widget, t, t': Time, o: Object] { \n\t\t\/\/List.elements.t' =  List.elements.t\n}\npred select_pre[sw: Selectable_widget, t: Time, o: Object] { }\n\npred click_semantics [aw: Action_widget, t: Time] {\n\t(aw in Login) => filled_login_test [t] and existing_test [t] \n\t(aw in Ok) => filled_required_test[t] and unique_fields_test [t] and same_pass_test [t] \n}\npred click_success_post [aw: Action_widget, t, t': Time] {\n\tCurrent_window.is_in.t' = aw.goes\n\t(aw in Ok) => add [t, t'] else List.elements.t' =  List.elements.t\n\t(all iw: Input_widget | iw.content.t' = iw.content.(T\/first))\n}\npred click_fail_post [aw: Action_widget, t, t': Time]\t{\n\t(all iw: Input_widget | iw.content.t' = iw.content.(T\/first))\n\tList.elements.t' =  List.elements.t\n}\npred click_pre[aw: Action_widget, t: Time] { }\n\npred add [t, t': Time] {\n\tone o: Object_inlist |all iw: (User_save + Password_save + Field) | not(o in List.elements.t) and o.appeared = t' and o.vs.iw = iw.content.t and List.elements.t' =  List.elements.t+o\n}\npred filled_login_test [t: Time] { \n\tall iw: (User+Password)| #iw.content.t = 1\n}\npred  existing_test [t: Time] { \n\tone o: List.elements.t | Password.content.t =o.vs.Password_save and User.content.t =o.vs.User_save\n}\npred same_pass_test [t: Time] {\n\tPassword_save.content.t = Re_password.content.t\n}\npred filled_required_test [t: Time] { \n\tall iw: (User_save + Password_save + Re_password + Field)| (iw in Property_required.requireds) => #iw.content.t = 1\n}\npred  unique_fields_test [t: Time] { \n\tall iw: (User_save + Password_save + Field) | all o: List.elements.t | (iw in Property_unique.uniques and (#o.vs.iw= 1)) => iw.content.t !=o.vs.iw \n}","old_contents":"--------------------Initial State---------------\npred init [t: Time] {\n\tno Track.op.t\n \tCurrent_window.is_in.t = aws.Login\n\t#List.elements.t = 0\n}\n---------------Generic AUTH Structure ----------\nabstract sig Go, Login, Signup, Ok, Cancel, Logout extends Action_widget { }\nabstract sig User, Password, User_save, Password_save, Re_password, Field extends Input_widget { }\n\nfact {\n\t(User_save+Password_save+Re_password) in Property_required.requireds\n\t(User_save+Password_save) in Property_unique.uniques\n}\n---------------Generic AUTH Semantics---------- \none sig Property_unique{\n\tuniques: set Input_widget\n} \none sig Property_required{\n\trequireds: set Input_widget\n}\nsig Object_inlist extends Object{\n\tvs: Value lone -> Input_widget\n}\none sig List {\n\telements: Object_inlist set -> Time\n}\npred fill_semantics [iw: Input_widget, t: Time, v: Value] { }\npred fill_success_post [iw: Input_widget, t, t': Time, v: Value] {  \n\t\tList.elements.t' =  List.elements.t\n}\npred fill_fail_post [iw: Input_widget, t, t': Time, v: Value] {\n\t\tList.elements.t' =  List.elements.t\n}\npred fill_pre[iw: Input_widget, t: Time, v: Value] { \n\t\/\/#iw.content.(T\/first) = 1 => not(v = none)\n}\n\npred select_semantics [sw: Selectable_widget, t: Time, o: Object] { }\npred select_success_post [sw: Selectable_widget, t, t': Time, o: Object] { \n\t\t\/\/List.elements.t' =  List.elements.t\n}\npred select_fail_post [sw: Selectable_widget, t, t': Time, o: Object] { \n\t\t\/\/List.elements.t' =  List.elements.t\n}\npred select_pre[sw: Selectable_widget, t: Time, o: Object] { }\n\npred click_semantics [aw: Action_widget, t: Time] {\n\tCurrent_window.is_in.t' = aw.goes\n\t(aw in Login) => filled_login_test [t] and existing_test [t] \n\t(aw in Ok) => filled_required_test[t] and unique_fields_test [t] and same_pass_test [t] \n}\npred click_success_post [aw: Action_widget, t, t': Time] {\n\t(aw in Ok) => add [t, t'] else List.elements.t' =  List.elements.t\n\t(all iw: Input_widget | iw.content.t' = iw.content.(T\/first))\n}\npred click_fail_post [aw: Action_widget, t, t': Time]\t{\n\t(all iw: Input_widget | iw.content.t' = iw.content.(T\/first))\n\tList.elements.t' =  List.elements.t\n}\npred click_pre[aw: Action_widget, t: Time] { }\n\npred add [t, t': Time] {\n\tone o: Object_inlist |all iw: (User_save + Password_save + Field) | not(o in List.elements.t) and o.appeared = t' and o.vs.iw = iw.content.t and List.elements.t' =  List.elements.t+o\n}\npred filled_login_test [t: Time] { \n\tall iw: (User+Password)| #iw.content.t = 1\n}\npred  existing_test [t: Time] { \n\tone o: List.elements.t | Password.content.t =o.vs.Password_save and User.content.t =o.vs.User_save\n}\npred same_pass_test [t: Time] {\n\tPassword_save.content.t = Re_password.content.t\n}\npred filled_required_test [t: Time] { \n\tall iw: (User_save + Password_save + Re_password + Field)| (iw in Property_required.requireds) => #iw.content.t = 1\n}\npred  unique_fields_test [t: Time] { \n\tall iw: (User_save + Password_save + Field) | all o: List.elements.t | (iw in Property_unique.uniques and (#o.vs.iw= 1)) => iw.content.t !=o.vs.iw \n}","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"6bbb9dbef6ae80e0b5230041f1009b1478de3722","subject":"Fix typo","message":"Fix typo\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"743a9ab9d3cdedc4ea99ab56450d64221ba72b45","subject":"make not to marry women","message":"make not to marry women\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude16.als","new_file":"etude16.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d7ee1ad97beb6021877bdd69ff85ae0f94410543","subject":"alloy modiefied, but not completed yet","message":"alloy modiefied, but not completed yet\n","repos":"cattaneo-riccardo\/PowerEnjoy","old_file":"Alloy\/powerenjoy_model.als","new_file":"Alloy\/powerenjoy_model.als","new_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 10\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 10\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\/\/\tday: Int,\n\thour: Int,\n\tminute: Int\n} {\n\/\/\tday >= 0\n\/\/\tday =< 60 \/\/ For efficiency reasons\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\tradius: Int\n} {\n\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDifference[t, t': Time]: Int {\n\tadd[sub[60, t'.minute], t.minute]\n}\n\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t.minute]\t, mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t'.minute]\t, mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t - t' <= 1h\n\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\/\/\t(t.day = t'.day\n\/\/\t\timplies (\n\t\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\t\t\tor\n\t\t\t(t.hour = add[t'.hour,1] and minutesDifference[t, t'] < 60)\n\/*\t\t)\n\t\telse (\n\t\t\t(t.day = add[t'.day, 1] and t.hour = 0 and t'.hour = 23 and minutesDifference[t, t'] < 60)\n\t\t)\n\t)*\/\n}\n\n\/\/ Returns true if t >= t'\n\npred comesAfterOrEqual[t, t': Time] {\n\/\/\tt.day = t'.day\n\/\/\timplies (\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n\/\/\t)\n\/\/\telse t.day >= t'.day\n}\n\n\/\/ Returns true if t == t'\n\npred areEqual[t, t': Time] {\n\/\/\tt.day = t'.day and \n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\n\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 5\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 5)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 5\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 5)\n}\n\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\n\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\n\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\n\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\n\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\n\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\n\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open.\n\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res]\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\n\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\n\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\n\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\n\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\tone rid.release_time\n\t\tiff\n\t\t(one rid.release_battery_level and one rid.release_area and one rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservation {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\tall r: Reservation | r.expired = False\n\t#User = 1\n\t#Car = 2\n\t#Reservation = 3\n\/\/\tsome c: Car | c.unlocked = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\n\/\/run show for 8 Int\n\nrun show for 7 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 7 Int\n","old_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tint id>0\n\tbattery_level >= 0\n\tbattery_level <= 100\n}\n\nsig User {\n\tcredential: Credential,\n\tpassword: Password,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\nsig Password {}\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\texpired: Bool,\n\tride: lone Ride\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 100\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\tday: Int,\n\thour: Int,\n\tminute: Int\n} {\n\tday >= 0\n\tday =< 365\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {\n\tcenter: Location,\n\tradius: Int\n} {\n\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/\/ ----------- Functions ------------\n\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t - t' <= 1h\n\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t(t.day = t'.day\n\t\timplies (\n\t\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\t\t\tor\n\t\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t\telse (\n\t\t\t(t.day = add[t'.day, 1] and t.hour = 0 and t'.hour = 23 and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t)\n}\n\n\/\/ Returns true if t >= t'\n\npred comesAfterOrEqual[t, t': Time] {\n\tt.day = t'.day\n\timplies (\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n\t)\n\telse t.day >= t'.day\n}\n\n\/\/ Returns true if t == t'\n\npred areEqual[t, t': Time] {\n\tt.day = t'.day and t.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\n\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 5\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 5)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 5\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 5)\n}\n\n\/\/ Reservation r is open <=> r is expired and \"it has not a ride yet or its ride has no release_time\"\n\npred isOpen[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\n\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\n\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\n\nfact eachCredentialCorrespondToAUser {\n\tall c: Credential |\n\t\tsome u: User |\n\t\t\tu.credential = c\n}\n\nfact eachPasswordCorrespondToAUser {\n\tall p: Password |\n\t\tsome u: User |\n\t\t\tu.password = p\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tall pi: Payment_Info |\n\t\t some u: User |\n\t\t\tu.payment_info = pi\n}\n\n\/\/ Different users <=> different credentials\n\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\n\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce {\n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open.\n\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(not some res: Reservation |\n\t\t\tres.car = c and isOpen[res]\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\n\nfact carExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\n\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ If a reservation has a ride, then that ride has that reservation.\n\nfact ridesAndReservationRelation {\n\tall res: Reservation | (\n\t\tsome res.ride\n\t\timplies\n\t\tres = res.ride.reservation\n\t)\n\t\/*\n\t(all rid: Ride |\n\t\tsome res: Reservation |\n\t\t\trid.reservation = res and res.ride = rid)\n\t(all res, res': Reservation |\n\t\tres != res'\n\t\timplies\n\t\tres.ride != res'.ride)*\/\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\n\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isOpen[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n\/*\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff (\n\t\t\tsome res: Reservation | (\n\t\t\t\tres.car = c and res.expired = False and\n\t\t\t\tsome u: User | (\n\t\t\t\t\tres.user = u and\n\t\t\t\t\tisNear[u.location, c.location] and\n\t\t\t\t\t(no res.ride or no res.ride.release_time)\n\t\t\t\t)\n\t\t\t)\n\t\t)\n\t)\n*\/\n}\n\n\/\/ release_time is always after pickup_time\n\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\n\/\/ car unlocked => car not available\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Car = 2\n\t#Reservation = 3\n\tsome c: Car | c.unlocked = True\n\tsome c: Car | c.unlocked = False\n}\n\npred checkUnlocked {\n\t\n}\n\n\/\/run show for 8 Int\nrun show for 8 Int\n\/\/check currentTimeIsAlwaysAhead for 8 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"a60ca67ec25827f076f72dc37d117500f8e85186","subject":"Incomplete - task : Coverage profiling of universal tests ","message":"Incomplete - task : Coverage profiling of universal tests \n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"","old_contents":"","returncode":0,"stderr":"unknown","license":"mit","lang":"Alloy"}
{"commit":"cdd4d6ee4c53bd1b4ff7dcca46cf691d520badaf","subject":"requirements metamodel is improved.","message":"requirements metamodel is improved.\n","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/requirements_metamodel_with_multiple_models.als","new_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/requirements_metamodel_with_multiple_models.als","new_contents":"open util\/relation\nopen util\/ordering[Model] as models\n\nsig Model {\n\thas: set Requirement,\n\n\trequires: Requirement -> Requirement,\n\trefines: Requirement -> Requirement,\n\tcontains: Requirement -> Requirement,\n\tpartiallyRefines: Requirement -> Requirement,\n\tconflicts: Requirement -> Requirement,\n\tequals: Requirement -> Requirement\n}\n\nsig Requirement {\n\n}\n\nlone sig PR1_AirConditioning extends Requirement { }\nlone sig PR2_ClimateControl extends Requirement { }\n\/\/one sig PR3_ extends Requirement { }\nlone sig PR4_GearBox extends Requirement { }\nlone sig PR5_ManualGear extends Requirement { }\nlone sig PR6_AutomaticGear extends Requirement { }\n\/\/one sig PR7_ extends Requirement { }\nlone sig PR8_Engine extends Requirement { }\n\/\/one sig PR9_ extends Requirement { }\n\/\/one sig PR10_ extends Requirement { }\nlone sig PR11_ElectricEngine extends Requirement { }\nlone sig PR12_HybridEngine extends Requirement { }\nlone sig PR13_4Cylinder extends Requirement { }\n\/\/one sig PR14_ extends Requirement { }\nlone sig PR15_CylinderEngine extends Requirement { }\nlone sig PR16_EnergyReservoir extends Requirement { }\nlone sig PR17_Accumulator extends Requirement { }\n\/\/one sig PR18_ extends Requirement { }\nlone sig PR19_Chassis extends Requirement { }\nlone sig PR20_StaticWagon extends Requirement { }\nlone sig PR21_Cabriolet extends Requirement { }\nlone sig PR22_RoofControl extends Requirement { }\nlone sig PR23_ManualControl extends Requirement { }\nlone sig PR24_SensorControl extends Requirement { }\nlone sig PR25_Wiper extends Requirement { }\nlone sig PR26_RearWiper extends Requirement { }\nlone sig PR27_FrontWiper extends Requirement { }\nlone sig PR28_FrontIntervalWiper extends Requirement { }\nlone sig PR29_FrontRainSensorWiper extends Requirement { }\nlone sig PR30_RainSensor extends Requirement { }\n\nfact { let m0 = models\/first | m0.has = Requirement }\n\n\/\/ Preds begin\npred functional_facts[m:Model]{\n\tno m.requires & m.refines\n\tno m.requires & m.contains\n\tno m.requires & m.partiallyRefines\n\tno m.requires & m.conflicts\n\tno m.requires & m.equals\n\n\tno m.refines & m.contains\n\tno m.refines & m.partiallyRefines\n\tno m.refines & m.conflicts\n\tno m.refines & m.equals\n\n\tno m.contains & m.partiallyRefines\n\tno m.contains & m.conflicts\n\tno m.contains & m.equals\n\n\tno m.partiallyRefines & m.conflicts\n\tno m.partiallyRefines & m.equals\n\n\tno m.conflicts & m.equals\n\n\tno m.requires & ~(m.refines)\n\tno m.requires & ~(m.contains)\n\tno m.requires & ~(m.partiallyRefines)\n\tno m.requires & ~(m.conflicts)\n\tno m.requires & ~(m.equals)\n\n\tno m.refines & ~(m.contains)\n\tno m.refines & ~(m.partiallyRefines)\n\tno m.refines & ~(m.conflicts)\n\tno m.refines & ~(m.equals)\n\n\tno m.contains & ~(m.partiallyRefines)\n\tno m.contains & ~(m.conflicts)\n\tno m.contains & ~(m.equals)\n\n\tno m.partiallyRefines & ~(m.conflicts)\n\tno m.partiallyRefines & ~(m.equals)\n\n\tno m.conflicts & ~(m.equals)\n}\n\npred equals_facts[m:Model] {\n\tall a,b: m.has {\n\t\tb in a.(m.equals) => a.(m.conflicts) = b.(m.conflicts)\n\t\tb in a.(m.equals) => a.(m.requires) = b.(m.requires)\n\t\tb in a.(m.equals) => a.(m.equals) = b.(m.equals)\n\t\tb in a.(m.equals) => a.(m.refines) = b.(m.refines)\n\t\tb in a.(m.equals) => a.(m.partiallyRefines) = b.(m.partiallyRefines)\n\t\tb in a.(m.equals) => a.(m.contains) = b.(m.contains)\n\n\t\tb in a.(m.equals) => a.~(m.conflicts) = b.~(m.conflicts)\n\t\tb in a.(m.equals) => a.~(m.requires) = b.~(m.requires)\n\t\tb in a.(m.equals) => a.~(m.equals) = b.~(m.equals)\n\t\tb in a.(m.equals) => a.~(m.refines) = b.~(m.refines)\n\t\tb in a.(m.equals) => a.~(m.partiallyRefines) = b.~(m.partiallyRefines)\n\t\tb in a.(m.equals) => a.~(m.contains) = b.~(m.contains)\n\t}\n}\n\npred req_ref_facts[m:Model] {\n\tall a,b,c: m.has {\n\t\tb in a.(m.requires) && c in b.(m.refines) => c in a.(m.requires)\n\t\tb in a.(m.refines) && c in b.(m.requires) => c in a.(m.requires)\n\t}\n}\n\npred ref_cont_facts[m:Model] {\n\tall a,b,c: m.has {\n\t\tb in a.(m.refines) && c in b.(m.contains) => c in a.(m.refines)\n\t\tb in a.(m.partiallyRefines) && c in b.(m.contains) => c in a.(m.partiallyRefines)\n\t\tb in a.(m.refines) && c in b.(m.partiallyRefines) => c in a.(m.partiallyRefines)\n\t\tb in a.(m.partiallyRefines) && c in b.(m.refines) => c in a.(m.partiallyRefines)\n\t}\n}\n\npred req_conf_facts[m:Model] {\n\tall a,b,c: m.has {\n\t\tb in a.(m.requires) && c in b.(m.conflicts) => c in a.(m.conflicts)\n\t\tb in a.(m.refines) && c in b.(m.conflicts) => c in a.(m.conflicts)\n\t}\n}\n\npred func_definitions[m:Model] {\n\tirreflexive[m.requires]\n\tantisymmetric[m.requires]\n\ttransitive[m.requires]\n\n\tirreflexive[m.refines]\n\tantisymmetric[m.refines]\n\ttransitive[m.refines]\n\n\tirreflexive[m.contains]\n\tantisymmetric[m.contains]\n\ttransitive[m.contains]\n\n\tirreflexive[m.partiallyRefines]\n\tantisymmetric[m.partiallyRefines]\n\ttransitive[m.partiallyRefines]\n\n\tirreflexive[m.conflicts]\n\tsymmetric[m.conflicts]\n\n\treflexive[m.equals, Requirement]\n\tsymmetric[m.equals]\n\ttransitive[m.equals]\n}\n\npred generateSolution {\n\tall m0:Model, m1: models\/next[m0] {\n\t\tm0.has in m1.has\n\n\t\tm0.requires in m1.requires\n\t\tm0.refines in m1.refines\n\t\tm0.contains in m1.contains\n\t\tm0.partiallyRefines in m1.partiallyRefines\n\t\tm0.conflicts in m1.conflicts\n\t\tm0.equals in m1.equals\n\n\t\tfunc_definitions[m1]\n\t\treq_conf_facts[m1]\n\t\tref_cont_facts[m1]\n\t\treq_ref_facts[m1]\n\t\tequals_facts[m1]\n\t\tfunctional_facts[m1]\n\t}\n}\n\/\/ Preds end\n\npred figure3 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR11_ElectricEngine + PR17_Accumulator + PR16_EnergyReservoir\n\n\t\tm0.requires = PR11_ElectricEngine -> PR17_Accumulator\n\t\tm0.refines = PR17_Accumulator -> PR16_EnergyReservoir\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t\tno m0.conflicts\n\t}\n\tgenerateSolution\n}\n\npred figure4 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR1_AirConditioning + PR2_ClimateControl\n\t\t\n\t\tm0.requires = PR1_AirConditioning -> PR2_ClimateControl\n\t\tm0.refines = PR2_ClimateControl -> PR1_AirConditioning\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t\tno m0.conflicts\n\t}\n\tgenerateSolution\n}\n\npred figure7 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR19_Chassis + PR20_StaticWagon + PR21_Cabriolet + PR22_RoofControl + PR23_ManualControl + PR24_SensorControl + PR25_Wiper + PR26_RearWiper + PR27_FrontWiper + PR28_FrontIntervalWiper + PR29_FrontRainSensorWiper + PR30_RainSensor\n\t\t\n\t\tm0.requires = PR19_Chassis -> PR25_Wiper + PR20_StaticWagon -> PR26_RearWiper + PR21_Cabriolet -> PR22_RoofControl + PR24_SensorControl -> PR30_RainSensor + PR29_FrontRainSensorWiper ->  PR30_RainSensor\n\t\tm0.refines = PR21_Cabriolet -> PR19_Chassis + PR20_StaticWagon -> PR19_Chassis + PR26_RearWiper -> PR25_Wiper + PR27_FrontWiper -> PR25_Wiper + PR28_FrontIntervalWiper -> PR27_FrontWiper + PR29_FrontRainSensorWiper -> PR27_FrontWiper + PR23_ManualControl -> PR22_RoofControl + PR24_SensorControl -> PR22_RoofControl  \n\t\tm0.conflicts = PR20_StaticWagon -> PR21_Cabriolet + PR23_ManualControl -> PR24_SensorControl + PR28_FrontIntervalWiper -> PR29_FrontRainSensorWiper\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t}\n\tgenerateSolution\n}\n\npred figure8 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR5_ManualGear + PR6_AutomaticGear + PR15_CylinderEngine\n\t\t\n\t\tm0.requires = PR15_CylinderEngine -> PR6_AutomaticGear\n\t\tm0.conflicts = PR6_AutomaticGear -> PR5_ManualGear\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t\tno m0.refines\n\t}\n\tgenerateSolution\n}\n\npred figure9 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR5_ManualGear + PR6_AutomaticGear + PR4_GearBox + PR8_Engine + PR12_HybridEngine + PR13_4Cylinder\n\n\t\tm0.requires = PR13_4Cylinder -> PR5_ManualGear + PR12_HybridEngine -> PR13_4Cylinder + PR12_HybridEngine -> PR6_AutomaticGear\n\t\tm0.refines = PR12_HybridEngine -> PR8_Engine + PR13_4Cylinder -> PR8_Engine + PR5_ManualGear -> PR4_GearBox + PR6_AutomaticGear -> PR4_GearBox \n\t\tm0.conflicts = PR6_AutomaticGear -> PR5_ManualGear\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t}\n\tgenerateSolution\n}\n\npred figure13 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR20_StaticWagon + PR26_RearWiper + PR25_Wiper + PR5_ManualGear\n\n\t\tm0.contains= PR20_StaticWagon -> PR26_RearWiper + PR20_StaticWagon -> PR25_Wiper\n\t\tm0.refines = PR26_RearWiper -> PR5_ManualGear + PR5_ManualGear -> PR25_Wiper\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.requires\n\t\tno m0.conflicts\n\t}\n\tgenerateSolution\n}\n\npred figure15 { \n\tlet m0 = models\/first {\n\t\tRequirement = PR20_StaticWagon + PR26_RearWiper + PR25_Wiper\n\n\t\tm0.requires = PR20_StaticWagon -> PR26_RearWiper\n\t\tm0.refines = PR26_RearWiper -> PR25_Wiper\n\t\tno m0.partiallyRefines\n\t\tno m0.equals\n\t\tno m0.contains\n\t\tno m0.conflicts\n\t}\n\tgenerateSolution\n}\n\nrun figure3 for exactly 3 Requirement, 2 Model\nrun figure4 for exactly 2 Requirement, 2 Model \/\/ Sonu\u00e7 vermemeli\nrun figure7 for exactly 12 Requirement, 2 Model\nrun figure8 for exactly 3 Requirement, 2 Model\nrun figure9 for exactly 6 Requirement, 2 Model \/\/ Sonu\u00e7 vermemeli\nrun figure13 for exactly 4 Requirement, 2 Model\nrun figure15 for exactly 3 Requirement, 2 Model\n\n\n\n\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.demonstration.alloyinecore\/harun\/requirements_metamodel_with_multiple_models.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"5d50f66c6c66f67768714e504fc27a723d0266ef","subject":"initial","message":"initial\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"walb.als","new_file":"walb.als","new_contents":"\/\/ walb\nopen util\/ordering[ReadPack + WritePack]\nopen util\/ordering[Request]\n\n\/\/ Request\u306e\u5206\u985e\nabstract sig Request{}\n\nsig WriteReq extends Request{\n\tbelong: one WritePack\n}\n\nsig ReadReq extends Request{\n\tbelong: one ReadPack\n}\n\nsig Flush extends Request{}\n\n\/\/ Pack\u306e\u5206\u985e\nabstract sig Pack {}\n\nsig WritePack extends Pack {\n\tlog: one LogPack,\n\tdata: one DataPack\n\t\n}\n\nsig ReadPack extends Pack {}\n\nsig LogPack extends Pack {}\n\nsig DataPack extends Pack {}\n\nfact {\n\tall p: LogPack | one p.~log\n\tall p: DataPack | one p.~data\n}\n\npred overlap(disj r1, r2: Request){}\n\npred overlap(disj p1, p2: Pack){}\n\nrun {}\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'walb.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"45c8f608ddc12b021348c05aa0b48f3e0ab6a1df","subject":"Fix typo in exercises","message":"Fix typo in exercises\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"alloy\/tutorial_questions.als","new_file":"alloy\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate findModel below expresses that there exist black, yellow and final states\npred findModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ The run command below checks to see if the predicate can be satisfied in scope 1\nrun findModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which findModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $findModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run findModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if its successors are empty.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run findModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Modify the check command below to check finishable in a sufficiently large  scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate findModel below expresses that there exist black, yellow and final states\npred findModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ The run command below checks to see if the predicate can be satisfied in scope 1\nrun findModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which findModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $findModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run findModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if its successors are empty.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new fact,s run findModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Modify the check command below to check finishable in a sufficiently large  scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"729c3197dc6d160ec0a916cff7479c2946e375a7","subject":"refactor","message":"refactor\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\nfun Row2Int (r: Row): Int {\n\tr.index\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\npred blackHeadInCol (c: Col, r: Row) {\n\tis_black_head[c, r, rows\/prev]\n}\npred blackHeadInRow (c: Col, r: Row) {\n\tis_black_head[c, r, cols\/prev]\n}\n\n-- about cols\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\nfun Col2Int (c: Col): Int {\n\tc.index\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\nfun Row2Int (r: Row): Int {\n\tr.index\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\n-- about cols\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred blackHeadInCol (c: Col, r: Row) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  r in first or prev_is_white[c, r, rows\/prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\nfun Col2Int (c: Col): Int {\n\tc.index\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"93e69a0351db201d84d184f97469251fde0690f6","subject":"find KK(KK) = KK","message":"find KK(KK) = KK\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"combinator.als","new_file":"combinator.als","new_contents":"open util\/ordering[Term]\n\nsome abstract sig Term {}\n\none sig K extends Term {}\n\nsig Apply extends Term {\n\tf, g: Term\n}\n\nfact {\n\tall x, y: Term | (x -> y) in (f + g) => y not in (x.prevs + x)\n}\n\npred equal (x, y: Term) {\n\tx in Apply and x.f in Apply and x.f.f = K and y = x.f.g\n}\n\nfun apply(x, y: Term): Term{\t\n\t{a: Apply | a.f = x and a.g = y }\n}\n\nrun {\n\tsome x, y: Term | equal[x, y]\n} for 5 Term\n","old_contents":"","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"566b4fadfcb10d2e189edb421a1e5493480fd3cd","subject":"fixing comments","message":"fixing comments\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/exec_arm8.als","new_file":"archs\/exec_arm8.als","new_contents":"module exec_arm8[E]\nopen exec_arm7[E]\n\nsig Exec_Arm8 extends Exec_Arm7 {\n  screl : set E, \/\/ release events\n  scacq : set E  \/\/ acquire events\n}{\n\n  \/\/ only reads can acquire\n  scacq in R\n\n  \/\/ only non-initial writes can release\n  screl in W - IW\n    \n}\n\nfun screl[e:E, X:Exec_Arm8] : set E { X.screl - e }\nfun scacq[e:E, X:Exec_Arm8] : set E { X.scacq - e }\n","old_contents":"module exec_arm8[E]\nopen exec_arm7[E]\n\nsig Exec_Arm8 extends Exec_Arm7 {\n  screl : set E, \/\/ release events\n  scacq : set E  \/\/ acquire events\n}{\n\n  \/\/ only atomic reads can acquire\n  scacq in R\n\n  \/\/ only atomic writes can release\n  screl in W - IW\n    \n}\n\nfun screl[e:E, X:Exec_Arm8] : set E { X.screl - e }\nfun scacq[e:E, X:Exec_Arm8] : set E { X.scacq - e }\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"30b96ed1b6acfd6b7b569c4f42fe4af9c9793578","subject":"some timing results from ee-benjamin","message":"some timing results from ee-benjamin\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/arm8_lock_elision.als","new_file":"mappings\/arm8_lock_elision.als","new_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n  map in (X.EV one-> X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(LkT + UkT + LkN + UkN)\n\n  \/\/ suppose we don't have transactions in the source program\n  no X.stxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  (X.EV - X.UkT) <: scst[X] :> (X.EV - X.UkT) = map.(X'.stxn).~map\n\n  \/\/ the set of lock-related events introduced by the mapping\n  let L = map[X.(LkT + UkT + LkN + UkN)] {\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X'.sthd = ~map.(X.sthd).map\n\n    all e1, e2 : X.EV |\n      (some e1.map and some e2.map) implies\n      ((e1 -> e2 in X.sb) iff (map[e1] -> map[e2] in X'.sb))\n\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    \/\/ non-call events map to non-library events\n    all e : X.EV - X.LkT - X.LkN - X.UkT - X.UkN {\n\t  one e.map\n    }\n\n    \/\/ lock() to be transactionalised\n\tall e : X.LkT | some e1 : X'.EV {\n      e.map = e1\n      e1 in X'.R - X'.SCACQ \/\/ e1 is a lock-related read event\n\t  e1 not in ran[X'.rf] \/\/ e1 sees the lock is not taken\n    }\n\n\t\/\/ unlock() to be transactionalised\n    all e : X.UkT | no e.map\n\n    \/\/ lock() to be kept as a normal lock\n    all e : X.LkN | some disj e1, e2 : X'.EV {\n      e.map = e1 + e2\n      (e1 -> e2) in imm[X'.sb] & X'.atom \/\/ e1 and e2 form an RMW pair \n      e1 in X'.SCACQ & X'.R \/\/ e1 is a lock-related acquire read\n      e2 in X'.W \/\/ e2 is a lock-related write\n    }\n\n    \/\/ unlock() to be kept as a normal unlock\n    all e : X.UkN | some e1 : X'.EV {\n \t  e.map = e1\n      e1 in X'.SCREL & X'.W \/\/ eL is a lock-related release write\n    }\n\n  }   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = scst[X] + scsl[X] |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\/*\n  some disj E0, E1, E2, E3, E4, E5, E6: E {\n    hint_src[X,E0,E1,E2,E3,E4,E5,E6]\n    hint_tgt[X',E0,E1,E2,E3,E4,E5,E6]\n    map = (E0->E0) + (E1->E1) + (E3->E2) + (E3->E3) + (E4->E4) + (E5->E5) + (E6->E6)\n  }*\/\n}\n\npred hint_src[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/ E0:  LkT     || E3: LkN\n\/\/ E1:  W x 1   || E4: R x 0\n\/\/ E2:  UkT     ||     [data]\n\/\/              || E5: W x 2\n\/\/              || E6: UkN\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E4\n    X.W = E1+E5\n    X.F = none\n    X.LkT = E0\n    X.UkT = E2\n    X.LkN = E3\n    X.UkN = E6\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5]\n    X.sthd = sq[E0+E1+E2] + sq[E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = ^((E0->E1)+(E1->E2)) + ^((E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = none->none\n    X.stxn = none->none\n}\n\npred hint_tgt[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/     txn {      || E2: R*[ACQ] lock 0   \n\/\/ E0:   R lock 0 || E3: W* lock 1 \n\/\/ E1:   W x 1    || E4: R x 0\n\/\/     }          ||     [data]\n\/\/                || E5: W x 2\n\/\/                || E6: W[REL] lock 2\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E0+E2+E4\n    X.W = E1+E3+E5+E6\n    X.F = none\n    X.LkT = none\n    X.UkT = none\n    X.LkN = none\n    X.UkN = none\n    X.SCACQ = E2\n    X.SCREL = E6\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)+(E3->E6)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5] + sq[E0+E2+E3+E6]\n    X.sthd = sq[E0+E1] + sq[E2+E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = (E0->E1) + ^((E2->E3)+(E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = (E2->E3)\n    X.stxn = sq[E0+E1]\n}\n\nrun p for 2 Exec, 7 E \/\/ found in 63550ms using Plingeling  on Benjamin\n","old_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n  map in (X.EV one-> X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(LkT + UkT + LkN + UkN)\n\n  \/\/ suppose we don't have transactions in the source program\n  no X.stxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  (X.EV - X.UkT) <: scst[X] :> (X.EV - X.UkT) = map.(X'.stxn).~map\n\n  \/\/ the set of lock-related events introduced by the mapping\n  let L = map[X.(LkT + UkT + LkN + UkN)] {\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X'.sthd = ~map.(X.sthd).map\n\n    all e1, e2 : X.EV |\n      (some e1.map and some e2.map) implies\n      ((e1 -> e2 in X.sb) iff (map[e1] -> map[e2] in X'.sb))\n\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    \/\/ non-call events map to non-library events\n    all e : X.EV - X.LkT - X.LkN - X.UkT - X.UkN {\n\t  one e.map\n    }\n\n    \/\/ lock() to be transactionalised\n\tall e : X.LkT | some e1 : X'.EV {\n      e.map = e1\n      e1 in X'.R - X'.SCACQ \/\/ e1 is a lock-related read event\n\t  e1 not in ran[X'.rf] \/\/ e1 sees the lock is not taken\n    }\n\n\t\/\/ unlock() to be transactionalised\n    all e : X.UkT | no e.map\n\n    \/\/ lock() to be kept as a normal lock\n    all e : X.LkN | some disj e1, e2 : X'.EV {\n      e.map = e1 + e2\n      (e1 -> e2) in imm[X'.sb] & X'.atom \/\/ e1 and e2 form an RMW pair \n      e1 in X'.SCACQ & X'.R \/\/ e1 is a lock-related acquire read\n      e2 in X'.W \/\/ e2 is a lock-related write\n    }\n\n    \/\/ unlock() to be kept as a normal unlock\n    all e : X.UkN | some e1 : X'.EV {\n \t  e.map = e1\n      e1 in X'.SCREL & X'.W \/\/ eL is a lock-related release write\n    }\n\n  }   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = scst[X] + scsl[X] |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\/*\n  some disj E0, E1, E2, E3, E4, E5, E6: E {\n    hint_src[X,E0,E1,E2,E3,E4,E5,E6]\n    hint_tgt[X',E0,E1,E2,E3,E4,E5,E6]\n    map = (E0->E0) + (E1->E1) + (E3->E2) + (E3->E3) + (E4->E4) + (E5->E5) + (E6->E6)\n  }*\/\n}\n\npred hint_src[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/ E0:  LkT     || E3: LkN\n\/\/ E1:  W x 1   || E4: R x 0\n\/\/ E2:  UkT     ||     [data]\n\/\/              || E5: W x 2\n\/\/              || E6: UkN\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E4\n    X.W = E1+E5\n    X.F = none\n    X.LkT = E0\n    X.UkT = E2\n    X.LkN = E3\n    X.UkN = E6\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5]\n    X.sthd = sq[E0+E1+E2] + sq[E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = ^((E0->E1)+(E1->E2)) + ^((E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = none->none\n    X.stxn = none->none\n}\n\npred hint_tgt[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/     txn {      || E2: R*[ACQ] lock 0   \n\/\/ E0:   R lock 0 || E3: W* lock 1 \n\/\/ E1:   W x 1    || E4: R x 0\n\/\/     }          ||     [data]\n\/\/                || E5: W x 2\n\/\/                || E6: W[REL] lock 2\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E0+E2+E4\n    X.W = E1+E3+E5+E6\n    X.F = none\n    X.LkT = none\n    X.UkT = none\n    X.LkN = none\n    X.UkN = none\n    X.SCACQ = E2\n    X.SCREL = E6\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)+(E3->E6)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5] + sq[E0+E2+E3+E6]\n    X.sthd = sq[E0+E1] + sq[E2+E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = (E0->E1) + ^((E2->E3)+(E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = (E2->E3)\n    X.stxn = sq[E0+E1]\n}\n\nrun p for 2 Exec, 7 E \/\/ found in 4 mins\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d0a1b22b47b46b23d34dc7ab8279fc3adfb53132","subject":"bunch of subtleish ableton tweaks for drum mode","message":"bunch of subtleish ableton tweaks for drum mode\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano.als","new_file":"ableton\/yyn-piano.als","new_contents":"\u001f\b\u0000\u0000\u0000\u0000\u0000\u0000\u0003]\u06f6{)r\u05b9[|'>\u03f2;^\u0333f\/[uz$\u001d\u03e7?\u0000\u0017RD\nR8P\u0000\b\u001f0yu4_gj4\u074f]kh9y?y<-E\u001faxe8<=MlU|4\\a]\u0787\u046b:\u056fUw\u0017J $\u001aFq\u001fOw}_.vT\u001b|TOm>^nnJ\u001f?A_5\"a~CGj6\u001f\u001b<\u001f*!kL[\uadebd8yv=4G2>\r'6o^d W\/7xv8\u0019\u001d.2\/v\u000b\u001d2|\u0018Iw\u05d1u\t\u078f\u000fn?\r'~\u001eM&ongY\u0015\/Fd7l9cTqpmR8?\u001fm\u8f3c\u03de\u001eO=\u0001\u013b\u001b->\u0017\u000f\u001f\u001ft\u01ebRdx;-l\u00ef\u001b\u0555JtvSy>~\u0018-\r\u000fg\u0635j)jAMj\u0388s=\u001fgDuwwp<14|uxSTlT*:qQT{kA<o\u0472\u000b\u001f\u0017\u0316O\u01dff\u0007 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{"commit":"f4fd424feb548e64be01007456a385b9e5050246","subject":"clafer model is uploaded","message":"clafer model is uploaded","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.requirements\/Clafer.als","new_file":"eu.modelwriter.demonstration.requirements\/Clafer.als","new_contents":"module ferhat\/Clafer\n\nabstract sig Element {}\nsig string extends Element {}\nabstract sig boolean extends Element {}\none sig false,true extends boolean {}\n--sig integer extends Element {}\n\n\/* Target: Clafer Metamodel*\/\nabstract sig CElement extends Element {}\nsig Clafer extends CElement { \n\tisAbstract: lone boolean, -- 'abstract'\n\tname: lone string, -- clafer's name\n\tcElements: set Clafer, -- subclafers\n\tcSuper: lone Clafer, -- superclafer ':'  -- abstract <clafer> : <superclafer>\n\tcTarget: lone Clafer,\n\t--\n\tcCardinality: lone (CardInterval + CCardinality), \/\/| ? |+ | * |  Interval\n\tcGroupCardinality: lone (GCardInterval + GroupCardinality), \/\/| xor |  or | mux |  opt | Interval\n}\nfact {\n\tall c, c': Clafer |  {\n\t\tc' in c.cElements => one c'.name -- All Clafers except ClaferModel has a name\t\n\t\tc' in c.cElements => one c'.cCardinality and one c'.cGroupCardinality  --All Clafers except ClaferModel has Card and GCard\t\n\t}\n}\n\none sig ClaferModel extends Clafer { }\nfact {\n\tall m: ClaferModel | no m.cSuper --ClaferModel has no cSuperClafer\n\tall m: ClaferModel | no m.cTarget --ClaferModel is not a reference Clafer\n\tall m: ClaferModel, c: Clafer | m != c.cSuper --ClaferModel cannot be a super Clafer\n\tall m: ClaferModel | no m.name -- ClaferModel has no name\n\tall m: ClaferModel | no m.isAbstract -- ClaferModel has no isAbstract\n\tall m: ClaferModel | no m.cCardinality -- ClaferModel has no Card\n\tall m: ClaferModel | no m.cGroupCardinality -- ClaferModel has no Card\n}\n\nfact {\n\tno c: Clafer | c in c.^cElements --no Clafer cycles exist\n\tno c: Clafer | c in c.^cSuper -- no superClafer cycles exist\n\tClafer in ClaferModel.*cElements --each Clafer is reachable from the ClaferModel\n\tall c: Clafer | lone c.~cElements --each Clafer has at most one parent\n\tno disj c, c': Clafer, c'': Clafer | c in c''.cElements and c' in c''.cElements and some c.name & c'.name --no overlapping Clafer names in the same level, \n\tall c: Clafer | c in ClaferModel.cElements => one c.isAbstract --abstract clafers are shown only in Top Level\n\tall c: Clafer | c !in ClaferModel.cElements => no c.isAbstract --inner Clafers cannot be defined as abstract\t\n\tall c, c': Clafer, m: ClaferModel |  c.cSuper = c' => c' in m.cElements and c'.isAbstract = true -- only super typing to top level 'abstract' Clafers\n\tall c, c': Clafer, m: ClaferModel |  c.cTarget = c' => c' in m.cElements --only reference to top level Clafers\n\tall c: Clafer, m: ClaferModel |  c in m.cElements => no c.cTarget -- Top Level Clafer can not be a reference clafer\n\tno c: Clafer | one c.cTarget and one c.cSuper --a clafer cannot be a reference clafer and has super type at the same time\n}\n\nabstract sig CInterval extends CElement { min, max : Int }\nfact { \n\tall i:CInterval | {\n\t\ti.min >= 0\n\t\ti.max >= i.min || i.max = -1\n\t\ti.min = 0 => i.max != 0 or i.max = 1 or i.max = -1\n\t\ti.min = 1 => i.max = -1 or i.max >= 1 } }\n\nabstract sig CCardinality extends CElement {}\nlone sig CardLone extends CCardinality {} \/\/? : 0..1\nlone sig CardSome extends CCardinality {} \/\/+ : 1..*\nlone sig CardAny extends CCardinality {} \/\/* : 0..*\nlone sig CardEmpty extends CCardinality {} \/\/ 1..1\nsig CardInterval extends CInterval {} \/\/ int .. int\n\nabstract sig GroupCardinality extends CElement {}\nlone sig GCardMux extends GroupCardinality {} \/\/mux: 0..1\nlone sig GCardOr extends GroupCardinality {} \/\/or: 1..*\nlone sig GCardOpt extends GroupCardinality {} \/\/opt: 0..*\nlone sig GCardXor extends GroupCardinality {} \/\/xor: 1..1\nsig GCardInterval extends CInterval {} \/\/ int .. int\n\nfact realismConstraint {some Clafer}\n\n\/\/fact { all i:CInterval, c: Clafer | i in c.cCardinality or i in c.cGroupCardinality} -- implicit containment without an explicit relation\n\n\/* Helper Predicates*\/\npred acyclic [s: set univ, r: univ->univ] { no x: s | x in x.^r }\n\n\/* Counterexample Finding *\/\nassert noMoreThanOneTopLevelClafer {#ClaferModel.cElements > 2}\ncheck noMoreThanOneTopLevelClafer for 10 Element\n\nassert noSubClaferExist { some c, c': Clafer | c in c'.cElements }\ncheck noSubClaferExist for 15 Element\n\npred example { #Clafer > 3 and #cTarget> 1 and #cSuper> 1 and #CardInterval>0 }\nrun example for 20 Element\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.demonstration.requirements\/Clafer.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"ad645ae4b128a92939838bdd73c80ed5d6b7f377","subject":"Incomplete - task : Coverage profiling of universal tests ","message":"Incomplete - task : Coverage profiling of universal tests \n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate election\n  wasted:\t\t \t set Ballot,\t -- Ballots non-transferable due to exhaustion of preferences\n\t outcome: \t\t Event\t\t      -- Election result for candidate and associated ballots\n} {\n     \/\/ Non-transferable ballots\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     (outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n       implies wasted in surplus\n     (outcome = EarlyLoserNonTransferable or outcome = SoreLoserNonTransferable)\n       implies wasted in votes + transfers\n     \/\/ Division of ballots into first preferences and transfers\n\t    no b: Ballot | b in votes & transfers\n     \/\/ Division of ballots into piles for each candidate\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n     \/\/ Selection of surplus ballots for re-distribution\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     \/\/ Calculation of surplus for PR-STV election\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \t0 < #surplus implies (outcome = SurplusWinner or outcome = AboveQuotaWinner or\n\t\t\t\t\t\toutcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser or \n      outcome = EarlyLoserNonTransferable) iff \n\t\t     (this in Scenario.eliminated and \n       not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies \n       Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner or skipped.outcome = WinnerNonTransferable or\n    skipped.outcome = QuotaWinnerNonTransferable or skipped.outcome = Winner or\n    skipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or\n  c.outcome = EarlyLoserNonTransferable or c.outcome = SoreLoserNonTransferable)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser or\n       l.outcome = EarlyLoserNonTransferable or l.outcome = SoreLoserNonTransferable) \n       implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  set Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: set Ballot,\t\t-- ballots for which preferences are exhausted\n  size:\t\t\t\t\t        Int \t\t\t      -- number of unspolit ballots\n}\n{\n  no b: Ballot | b in spoiltBallots and b in nonTransferables\n  size = #Ballot - #spoiltBallots\n\t all b: Ballot | b in spoiltBallots iff #b.preferences = 0\n  \/\/ All non-transferable ballots belong to an non-transferable surplus\n  all b: Ballot | some c: Candidate | b in nonTransferables implies \n    b in c.wasted\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 03\n  day = 04\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate election\n  wasted:\t\t \t set Ballot,\t -- Ballots non-transferable due to exhaustion of preferences\n\t outcome: \t\t Event\t\t      -- Election result for candidate and associated ballots\n} {\n     \/\/ Non-transferable ballots\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     (outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n       implies wasted in surplus\n     (outcome = EarlyLoserNonTransferable or outcome = SoreLoserNonTransferable)\n       implies wasted in votes + transfers\n     \/\/ Division of ballots into first preferences and transfers\n\t    no b: Ballot | b in votes & transfers\n     \/\/ Division of ballots into piles for each candidate\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n     \/\/ Selection of surplus ballots for re-distribution\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     \/\/ Calculation of surplus for PR-STV election\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \t0 < #surplus implies (outcome = SurplusWinner or outcome = AboveQuotaWinner or\n\t\t\t\t\t\toutcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser or \n      outcome = EarlyLoserNonTransferable) iff \n\t\t     (this in Scenario.eliminated and \n       not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies \n       Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner or skipped.outcome = WinnerNonTransferable or\n    skipped.outcome = QuotaWinnerNonTransferable or skipped.outcome = Winner or\n    skipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser or\n       l.outcome = EarlyLoserNonTransferable or l.outcome = SoreLoserNonTransferable) \n       implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  set Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: set Ballot,\t\t-- ballots for which preferences are exhausted\n  size:\t\t\t\t\t        Int \t\t\t      -- number of unspolit ballots\n}\n{\n  no b: Ballot | b in spoiltBallots and b in nonTransferables\n  size = #Ballot - #spoiltBallots\n\t all b: Ballot | b in spoiltBallots iff #b.preferences = 0\n  \/\/ All non-transferable ballots belong to an non-transferable surplus\n  all b: Ballot | some c: Candidate | b in nonTransferables implies \n    b in c.wasted\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 03\n  day = 03\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"7aeb18f0637fd8311718c9af134188894140c422","subject":"Extra synonym","message":"Extra synonym\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/exec.als","new_file":"archs\/exec.als","new_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  ev : set E, \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  naL : set E, \/\/ events accessing non-atomic locations\n  sb : E -> E, \/\/ sequenced before\n  ad : E -> E, \/\/ address dependency\n  dd : E -> E, \/\/ data dependency\n  cd : E -> E, \/\/ control dependency\n  sthd : E -> E, \/\/ same thread (E.R.)\n  sloc : E -> E, \/\/ same location (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E -> E,  \/\/ reads-from\n  co : E -> E,  \/\/ coherence order\n}{\n  \/\/ ev captures all and only the events involved\n  W + R + F + naL in ev\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/\/ sequenced-before has the \"N-free\" property\n  all a,b,c,d : ev | not (\n\t((b->d) + (a->d) + (a->c)) in sb and\n      no (((a->b) + (b->c) + (c->d)) & *sb))\n    \n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> E) & sb\n\n  \/\/ Control dependencies are transitive. I don't think\n  \/\/ we should necessarily say the same about other types\n  \/\/ of dependencies\n  \/\/transitive[cd]\n\n  \/\/ sthd is an equivalence relation\n  is_equivalence[sthd, ev]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  naL . sloc = naL\n\n  rf in W lone -> R\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union, over all atomic locations x, of strict\n  \/\/ total orders on writes to x\n  (co + ~co) = ((W - naL) -> (W - naL)) & sloc - iden\n  \t\n}\n\nfun ev [e:E, X:Exec] : set E { X.ev - e }\nfun W [e:E, X:Exec] : set E { X.W - e }\nfun R [e:E, X:Exec] : set E { X.R - e }\nfun F [e:E, X:Exec] : set E { X.F - e }\nfun M [e:E, X:Exec] : set E { X.R + X.W - e }\nfun naL [e:E, X:Exec] : set E { X.naL - e }\n\nfun sb [e:E, X:Exec] : E->E { X.sb - (univ -> e) - (e -> univ) }\nfun ad [e:E, X:Exec] : E->E { X.ad - (univ -> e) - (e -> univ) }\nfun dd [e:E, X:Exec] : E->E { X.dd - (univ -> e) - (e -> univ) }\nfun cd [e:E, X:Exec] : E->E { X.cd - (univ -> e) - (e -> univ) }\nfun sthd [e:E, X:Exec] : E->E { X.sthd - (univ -> e) - (e -> univ) }\nfun sloc [e:E, X:Exec] : E->E { X.sloc - (univ -> e) - (e -> univ) }\nfun rf [e:E, X:Exec] : E->E { X.rf - (univ -> e) - (e -> univ) }\nfun co [e:E, X:Exec] : E->E { X.co - (univ -> e) - (e -> univ) }\n\n\/\/ Some synonyms\nfun po [e:E, X:Exec] : E->E { sb[e,X] }\nfun addr [e:E, X:Exec] : E->E { ad[e,X] }\nfun ctrl [e:E, X:Exec] : E->E { cd[e,X] }\nfun data [e:E, X:Exec] : E->E { dd[e,X] }\nfun loc [e:E, X:Exec] : E->E { sloc[e,X] }\nfun thd [e:E, X:Exec] : E->E { sthd[e,X] }\nfun ext [e:E, X:Exec] : E->E { (X.ev -> X.ev) - sthd[e,X] }\n\nfun fr_init[e:E, x:Exec] : E->E {\n  (stor[R[e,x]] - (~(rf[e,x]) . (rf[e,x]))) . (sloc[e,x]) . (stor[W[e,x]])\n}\n\nfun fr[e:E, x : Exec] : E -> E {\n  (fr_init[e,x] + (~(rf[e,x]) . (co[e,x]))) - iden\n}\n\npred no_RMWs[e:E, x : Exec] {\n  no (R[e,x] & W[e,x])\n}\n\n\/\/ sb, within each thread, is total\npred total_sb[e:E, x : Exec] {\n  sthd[e,x] - iden in sb[e,x] + ~(sb[e,x])\n}\n\n\/*\npred forced_co[e:E, x : Exec] {\n  (imm[co[e,x]]) . (imm[co[e,x]]) . ~(imm[co[e,x]]) in\n    (rc[rf[e,x]]) . (rc[(sb[e,x]) . (rc[~(rf[e,x])])])\n}\n*\/\n\n\/*\npred no_if_zero[e:E, x:Exec] {\n  \/\/ avoid \"if(r==0)\" in generated litmus test\n  dom[cd[e,x]] in ran[rf[e,x]]\n}\n*\/\n\n\/*************************\/\n\/*      TESTS            *\/\n\/*************************\/\n\npred messagepassing[x : Exec] {\n  \/*\n  e1: Wx=1   e3: Ry=1\n  e2: Wy=1   e4: Rx=0\n  *\/\n  some disj e1, e2, e3, e4 : E {\n    x.ev = e1 + e2 + e3 + e4\n    x.sb = (e1 -> e2) + (e3 -> e4)\n    x.cd = (e3 -> e4)\n    x.ad = none->none\n    x.dd = none->none\n    x.W = e1 + e2\n    x.R = e3 + e4\n    x.F = none\n    x.sthd = sq[e1 + e2] + sq[e3 + e4]\n    x.sloc = sq[e1 + e4] + sq[e2 + e3]\n    x.naL = none\n    x.rf = (e2 -> e3)\n    x.co = none->none\n  }\n}\n\nrun messagepassing for 1 Exec, 4 E\n","old_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  ev : set E, \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  naL : set E, \/\/ events accessing non-atomic locations\n  sb : E -> E, \/\/ sequenced before\n  ad : E -> E, \/\/ address dependency\n  dd : E -> E, \/\/ data dependency\n  cd : E -> E, \/\/ control dependency\n  sthd : E -> E, \/\/ same thread (E.R.)\n  sloc : E -> E, \/\/ same location (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E -> E,  \/\/ reads-from\n  co : E -> E,  \/\/ coherence order\n}{\n  \/\/ ev captures all and only the events involved\n  W + R + F + naL in ev\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/\/ sequenced-before has the \"N-free\" property\n  all a,b,c,d : ev | not (\n\t((b->d) + (a->d) + (a->c)) in sb and\n      no (((a->b) + (b->c) + (c->d)) & *sb))\n    \n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> E) & sb\n\n  \/\/ Control dependencies are transitive. I don't think\n  \/\/ we should necessarily say the same about other types\n  \/\/ of dependencies\n  \/\/transitive[cd]\n\n  \/\/ sthd is an equivalence relation\n  is_equivalence[sthd, ev]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  naL . sloc = naL\n\n  rf in W lone -> R\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union, over all atomic locations x, of strict\n  \/\/ total orders on writes to x\n  (co + ~co) = ((W - naL) -> (W - naL)) & sloc - iden\n  \t\n}\n\nfun ev [e:E, X:Exec] : set E { X.ev - e }\nfun W [e:E, X:Exec] : set E { X.W - e }\nfun R [e:E, X:Exec] : set E { X.R - e }\nfun F [e:E, X:Exec] : set E { X.F - e }\nfun M [e:E, X:Exec] : set E { X.R + X.W - e }\nfun naL [e:E, X:Exec] : set E { X.naL - e }\n\nfun sb [e:E, X:Exec] : E->E { X.sb - (univ -> e) - (e -> univ) }\nfun ad [e:E, X:Exec] : E->E { X.ad - (univ -> e) - (e -> univ) }\nfun dd [e:E, X:Exec] : E->E { X.dd - (univ -> e) - (e -> univ) }\nfun cd [e:E, X:Exec] : E->E { X.cd - (univ -> e) - (e -> univ) }\nfun sthd [e:E, X:Exec] : E->E { X.sthd - (univ -> e) - (e -> univ) }\nfun sloc [e:E, X:Exec] : E->E { X.sloc - (univ -> e) - (e -> univ) }\nfun rf [e:E, X:Exec] : E->E { X.rf - (univ -> e) - (e -> univ) }\nfun co [e:E, X:Exec] : E->E { X.co - (univ -> e) - (e -> univ) }\n\n\/\/ Some synonyms\nfun po [e:E, X:Exec] : E->E { sb[e,X] }\nfun addr [e:E, X:Exec] : E->E { ad[e,X] }\nfun ctrl [e:E, X:Exec] : E->E { cd[e,X] }\nfun data [e:E, X:Exec] : E->E { dd[e,X] }\nfun loc [e:E, X:Exec] : E->E { sloc[e,X] }\nfun thd [e:E, X:Exec] : E->E { sthd[e,X] }\n\nfun fr_init[e:E, x:Exec] : E->E {\n  (stor[R[e,x]] - (~(rf[e,x]) . (rf[e,x]))) . (sloc[e,x]) . (stor[W[e,x]])\n}\n\nfun fr[e:E, x : Exec] : E -> E {\n  (fr_init[e,x] + (~(rf[e,x]) . (co[e,x]))) - iden\n}\n\npred no_RMWs[e:E, x : Exec] {\n  no (R[e,x] & W[e,x])\n}\n\n\/\/ sb, within each thread, is total\npred total_sb[e:E, x : Exec] {\n  sthd[e,x] - iden in sb[e,x] + ~(sb[e,x])\n}\n\n\/*\npred forced_co[e:E, x : Exec] {\n  (imm[co[e,x]]) . (imm[co[e,x]]) . ~(imm[co[e,x]]) in\n    (rc[rf[e,x]]) . (rc[(sb[e,x]) . (rc[~(rf[e,x])])])\n}\n*\/\n\n\/*\npred no_if_zero[e:E, x:Exec] {\n  \/\/ avoid \"if(r==0)\" in generated litmus test\n  dom[cd[e,x]] in ran[rf[e,x]]\n}\n*\/\n\n\/*************************\/\n\/*      TESTS            *\/\n\/*************************\/\n\npred messagepassing[x : Exec] {\n  \/*\n  e1: Wx=1   e3: Ry=1\n  e2: Wy=1   e4: Rx=0\n  *\/\n  some disj e1, e2, e3, e4 : E {\n    x.ev = e1 + e2 + e3 + e4\n    x.sb = (e1 -> e2) + (e3 -> e4)\n    x.cd = (e3 -> e4)\n    x.ad = none->none\n    x.dd = none->none\n    x.W = e1 + e2\n    x.R = e3 + e4\n    x.F = none\n    x.sthd = sq[e1 + e2] + sq[e3 + e4]\n    x.sloc = sq[e1 + e4] + sq[e2 + e3]\n    x.naL = none\n    x.rf = (e2 -> e3)\n    x.co = none->none\n  }\n}\n\nrun messagepassing for 1 Exec, 4 E\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"7055f85beb059491301c3e23fcee7bac6b173d82","subject":"exec: clean-up unused definitions","message":"exec: clean-up unused definitions\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/exec.als","new_file":"archs\/exec.als","new_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  EV : set E,      \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  IW : set E,      \/\/ initial writes\n  NAL : set E,     \/\/ events accessing non-atomic locations\n  sb : E->E,       \/\/ sequenced before\n  ad,cd,dd : E->E, \/\/ address, control, data dependencies\n  sthd : E->E,     \/\/ same thread (partial E.R.)\n  sloc : E->E,     \/\/ same location (partial E.R.)\n  stxn : E -> E,   \/\/ same transaction (partial E.R.)\n  ftxn : E -> E,   \/\/ failed transaction (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E->E,       \/\/ reads-from\n  co : E->E,       \/\/ coherence order\n}{\n  \/\/ EV captures all and only the events involved\n  W + R + F = EV\n\n  \/\/ some reads and writes may access \"non-atomic\" locations\n  NAL in (R + W)\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n\n  \/\/ initial events are ordinary writes\n  IW in W - R\n\n  \/\/ at most one initial write per location\n  (IW -> IW) & sloc in iden\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/\/ sequenced-before is total within a thread\n  sthd in *sb + ~*sb\n\n  \/\/ sthd is an equivalence relation among non-initial events\n  is_equivalence[sthd, EV - IW]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  NAL . sloc = NAL\n\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union of strict total orders on writes, one per location\n  \/\/ except for non-atomic locations, and it avoids writes that are in\n  \/\/ failed transactions\n  (co + ~co) = ((W - NAL) -> (W - NAL)) & sloc - iden\n\n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> EV) & sb\n    \n  \/\/ transactions are intra-thread\n  stxn in sthd\n  ftxn in sthd\n\n  \/\/ stxn is a partial equivalence relation among a subset of\n  \/\/ the non-initalisation events\n  stxn in (EV - IW) -> (EV - IW)\n  symmetric[stxn]\n  transitive[stxn]\n\n  \/\/ ftxn is a partial equivalence relation among a subset of\n  \/\/ the non-initalisation events\n  ftxn in (EV - IW) -> (EV - IW)\n  symmetric[ftxn]\n  transitive[ftxn]\n\n  \/\/ no overlap between stxn and ftxn\n  no stxn & ftxn\n\n  \/\/ transactions must be contiguous\n  ((sb.sb & stxn) . ~sb) & sb in stxn\n  ((sb.sb & ftxn) . ~sb) & sb in ftxn\n\n  \/\/ events sequenced after an failing transaction are control-\n  \/\/ dependent on all the reads inside that ftxn\n  (R & dom[ftxn]) <: (sb - ftxn) in cd\n\n  \/\/ address\/data dependencies cannot escape failing transactions\n  no (dom[ftxn] <: ((ad + dd) - ftxn))\n}\n\npred withinit[X:Exec] {\n  \/\/ rf connects each read to exactly one write\n  X.rf in X.W one -> X.R\n\n  \/\/ for every event that accesses a location, there is\n  \/\/ exactly one initial event at the same location\n  all e : X.(R+W) | one (e.(X.sloc) & X.IW)\n\n  \/\/ initial writes have no co-predecessor\n  all e : X.IW | no e.~(X.co)\n}\n\npred withoutinit[X:Exec] {\n  \/\/ rf connects each read to at most one write\n  X.rf in X.W lone -> X.R\n    \n  \/\/ there are no initial writes\n  no X.IW\n}\n\nfun addsb[e:PTag->E, X:Exec, F:set E] : E->E {\n  *(sb[e,X]) . (stor[F]) . *(sb[e,X]) }\n\n\/\/ Perturbation Tags are an idea due to Daniel Lustig et al.\n\/\/ (ASPLOS'17, http:\/\/dl.acm.org\/citation.cfm?id=3037723)\nabstract sig PTag {}\none sig rm_EV extends PTag {}\none sig rm_ad extends PTag {}\none sig rm_cd extends PTag {}\none sig rm_dd extends PTag {}\none sig rm_txn extends PTag {}\n\nfun EV [e:PTag->E, X:Exec] : set E { X.EV - e[rm_EV] }\nfun W [e:PTag->E, X:Exec] : set E { X.W - e[rm_EV] }\nfun IW [e:PTag->E, X:Exec] : set E { X.IW - e[rm_EV] }\nfun R [e:PTag->E, X:Exec] : set E { X.R - e[rm_EV] }\nfun F [e:PTag->E, X:Exec] : set E { X.F - e[rm_EV] }\nfun NAL [e:PTag->E, X:Exec] : set E { X.NAL - e[rm_EV] }\n\nfun sb [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sb :> (univ - e[rm_EV]) }\nfun ad [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_ad]) <: X.ad :> (univ - e[rm_EV]) }\nfun dd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_dd]) <: X.dd :> (univ - e[rm_EV]) }\nfun cd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_cd]) <: X.cd :> (univ - e[rm_EV]) }\nfun sthd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sthd :> (univ - e[rm_EV]) }\nfun sloc [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sloc :> (univ - e[rm_EV]) }\nfun stxn[e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_txn]) <: X.stxn :> (univ - e[rm_EV] - e[rm_txn]) }\nfun ftxn[e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_txn]) <: X.ftxn :> (univ - e[rm_EV] - e[rm_txn]) }\nfun rf [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.rf :> (univ - e[rm_EV]) }\nfun co [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.co :> (univ - e[rm_EV]) }\n","old_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  EV : set E,      \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  IW : set E,      \/\/ initial writes\n  NAL : set E,     \/\/ events accessing non-atomic locations\n  sb : E->E,       \/\/ sequenced before\n  ad,cd,dd : E->E, \/\/ address, control, data dependencies\n  sthd : E->E,     \/\/ same thread (partial E.R.)\n  sloc : E->E,     \/\/ same location (partial E.R.)\n  stxn : E -> E,   \/\/ same transaction (partial E.R.)\n  ftxn : E -> E,   \/\/ failed transaction (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E->E,       \/\/ reads-from\n  co : E->E,       \/\/ coherence order\n}{\n  \/\/ EV captures all and only the events involved\n  W + R + F = EV\n\n  \/\/ some reads and writes may access \"non-atomic\" locations\n  NAL in (R + W)\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n\n  \/\/ initial events are ordinary writes\n  IW in W - R\n\n  \/\/ at most one initial write per location\n  (IW -> IW) & sloc in iden\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/*\n  \/\/ sequenced-before has the \"N-free\" property\n  all a,b,c,d : EV | not (\n\t((b->d) + (a->d) + (a->c)) in sb and\n      \tno (((a->b) + (b->c) + (c->d)) & *sb))\n  *\/\n\n  \/\/ sequenced-before is total within a thread\n  sthd in *sb + ~*sb\n\n  \/\/ sthd is an equivalence relation among non-initial events\n  is_equivalence[sthd, EV - IW]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  NAL . sloc = NAL\n\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union of strict total orders on writes, one per location\n  \/\/ except for non-atomic locations, and it avoids writes that are in\n  \/\/ failed transactions\n  (co + ~co) = ((W - NAL) -> (W - NAL)) & sloc - iden\n\n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> EV) & sb\n    \n  \/\/ transactions are intra-thread\n  stxn in sthd\n  ftxn in sthd\n\n  \/\/ stxn is a partial equivalence relation among a subset of\n  \/\/ the non-initalisation events\n  stxn in (EV - IW) -> (EV - IW)\n  symmetric[stxn]\n  transitive[stxn]\n\n  \/\/ ftxn is a partial equivalence relation among a subset of\n  \/\/ the non-initalisation events\n  ftxn in (EV - IW) -> (EV - IW)\n  symmetric[ftxn]\n  transitive[ftxn]\n\n  \/\/ no overlap between stxn and ftxn\n  no stxn & ftxn\n\n  \/\/ transactions must be contiguous\n  ((sb.sb & stxn) . ~sb) & sb in stxn\n  ((sb.sb & ftxn) . ~sb) & sb in ftxn\n\n  \/\/ events sequenced after an failing transaction are control-\n  \/\/ dependent on all the reads inside that ftxn\n  (R & dom[ftxn]) <: (sb - ftxn) in cd\n\n  \/\/ address\/data dependencies cannot escape failing transactions\n  no (dom[ftxn] <: ((ad + dd) - ftxn))\n}\n\npred withinit[X:Exec] {\n  \/\/ rf connects each read to exactly one write\n  X.rf in X.W one -> X.R\n\n  \/\/ for every event that accesses a location, there is\n  \/\/ exactly one initial event at the same location\n  all e : X.(R+W) | one (e.(X.sloc) & X.IW)\n\n  \/\/ initial writes have no co-predecessor\n  all e : X.IW | no e.~(X.co)\n}\n\npred withoutinit[X:Exec] {\n  \/\/ rf connects each read to at most one write\n  X.rf in X.W lone -> X.R\n    \n  \/\/ there are no initial writes\n  no X.IW\n}\n\nfun addsb[e:PTag->E, X:Exec, F:set E] : E->E {\n  *(sb[e,X]) . (stor[F]) . *(sb[e,X]) }\n\n\/\/ Perturbation Tags are an idea due to Daniel Lustig et al.\n\/\/ (ASPLOS'17, http:\/\/dl.acm.org\/citation.cfm?id=3037723)\nabstract sig PTag {}\none sig rm_EV extends PTag {}\none sig rm_ad extends PTag {}\none sig rm_cd extends PTag {}\none sig rm_dd extends PTag {}\none sig rm_txn extends PTag {}\n\nfun EV [e:PTag->E, X:Exec] : set E { X.EV - e[rm_EV] }\nfun W [e:PTag->E, X:Exec] : set E { X.W - e[rm_EV] }\nfun IW [e:PTag->E, X:Exec] : set E { X.IW - e[rm_EV] }\nfun R [e:PTag->E, X:Exec] : set E { X.R - e[rm_EV] }\nfun F [e:PTag->E, X:Exec] : set E { X.F - e[rm_EV] }\nfun NAL [e:PTag->E, X:Exec] : set E { X.NAL - e[rm_EV] }\n\nfun sb [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sb :> (univ - e[rm_EV]) }\nfun ad [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_ad]) <: X.ad :> (univ - e[rm_EV]) }\nfun dd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_dd]) <: X.dd :> (univ - e[rm_EV]) }\nfun cd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_cd]) <: X.cd :> (univ - e[rm_EV]) }\nfun sthd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sthd :> (univ - e[rm_EV]) }\nfun sloc [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sloc :> (univ - e[rm_EV]) }\nfun stxn[e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_txn]) <: X.stxn :> (univ - e[rm_EV] - e[rm_txn]) }\nfun ftxn[e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_txn]) <: X.ftxn :> (univ - e[rm_EV] - e[rm_txn]) }\nfun rf [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.rf :> (univ - e[rm_EV]) }\nfun co [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.co :> (univ - e[rm_EV]) }\n\n\/\/ Well-formed transaction-order\npred wf_to[X:Exec, to:E->E] {\n  \n  \/\/ two transactional events in the same transaction\n  \/\/ will *not* be ordered by \"to\"\n  no (X.stxn & to)\n\n  \/\/ two transactional events in different transactions\n  \/\/ will be ordered (one way or t'other) by \"to\"\n  (dom[X.stxn] -> dom[X.stxn]) - X.stxn = to + ~to\n\n  \/\/ \"to\" is a strict partial order\n  strict_partial_order[to]\n\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"030b22e20b554947bf28db0f5a232fddfe04baf2","subject":"Edit alloy model","message":"Edit alloy model\n","repos":"FrancescoZ\/PowerEnJoy","old_file":"Workspace\/RASD\/Alloy\/PowerEnjoy.als","new_file":"Workspace\/RASD\/Alloy\/PowerEnjoy.als","new_contents":"module PowEnj \n\/\/SIGNATURES\nsig Position{}\nsig Email{}\nsig Code{}\n\nsig Plug{}\n\nabstract sig Bool{}\nsig False extends Bool{}\nsig True extends Bool{}\n\nabstract sig State{}\nsig FreeState extends State{}\nsig ReservedState extends State{}\nsig RentedState extends State{}\n\nsig DriverLicense{\n\tcode:one Code,\n\texpiration:Int\n}\n{ \n\texpiration>0\n}\n\n\nsig User\n{\n\tpayInfo: some PaymentMethod,\n\tposition: one Position,\n\tlicense: one DriverLicense,\n\temail:one Email\n}\n\nsig Reservation{\n\tuser:one User,\n\ttime:Int,\n\tendTime:Int,\n\tcar:one Car\n}\n{\n\ttime>0\n\tendTime>time\n}\n\nsig Rent\n{\n\tstartTime: one  Int,\n\tendTime:one Int,\n\tendRent:one Bool,\n\tapplyDiscount:one Int,\n\tapplyOvertax:one Int, \n\ttotalCost:Int,\n\tpassengers:one  Int,\n\treservation:one Reservation,\n\tpayment:one PaymentMethod\n}{\n\tpassengers>=0\n\tstartTime>0\n\tendTime>startTime\n\tapplyOvertax>=0\n\tapplyDiscount>=0\n}\n\n\nabstract sig Station{\n\tparkedCar:set Car,\n\tpositoin:one Position\n}\n\nsig  Parking extends Station{\n\tdistanceFromCharge:Int\n}{\n\tdistanceFromCharge>0\n}\n\n\nsig SafeArea extends Station\n{\n\tpluggedCar: set Car,\n\tplugAvailable: set Plug,\n}\n\n\nsig PaymentMethod\n{\n\ttransactionCode: one Code\n}\n\nsig Car\n{\n\tposition:one Position,\n\tbattery: Int,\n\tplate: one Code,\n\tstate:one State,\n\treadyToEnd:one Bool\n}{\n\tbattery>=0 and battery<=100\n}\n\n\/\/FACT\n\nfact{\n\t\/\/No useless paymentMethod\n\tUser.payInfo=PaymentMethod\n\t\/\/No useless Plug\n\tSafeArea.plugAvailable=Plug\n\t\/\/No useless Email\n\tUser.email=Email\n\t\/\/No useless Position\n\tCar.position+User.position=Position\n\t\/\/No useless Code\n\tCar.plate+PaymentMethod.transactionCode+DriverLicense.code=Code\n\t\/\/No useless State\n\tCar.state=State\n\t\/\/No useless Bool\n\tRent.endRent=Bool\n\t\/\/No useless License\n\tUser.license=DriverLicense\n\n\t\/\/No PaymentMethod with the same code\n\tall p1,p2:PaymentMethod| p1!=p2 implies p1.code!=p2.code\n\t\/\/No car with the same plate\n\tall c1, c2: Car | c1!=c2 implies c1.plate!=c2.plate\n\t\/\/No users with same email\n\tall u1,u2:User| u1!=u2 implies u1.email!=u2.email\n\t\/\/No users with same license\n\tall u1,u2:User| u1!=u2 implies u1.license!=u2.license\n\n\t\/\/No reservation for the same car in a time<1\n\tall r1,r2:Reservation | (r1!=r2 and r1.car=r2.car) implies (r1.time>r2.time+1 or r2.time>r1.time+1)\n\n\t\/\/If a car is reserved is in reserved state\n\tall r:Reservation,c:Car,rent:Rent|  (r.car=c and  !(rent.endRent=False and rent.reservation.car=c)) implies c.state=ReservedState\n\t\n\t\/\/if a car is in use is in rentedState\n\tall c:Car,r:Rent| r.reservation.car=c and r.endRent=False implies c.state=RentedState\n\t\n\t\/\/if a car is not rented or reserved is in free state and a reservation keep going for max 1 hour\n\tall c:Car,rent:Rent,res:Reservation| \n\t\t\/\/if the car is not reserved\n\t\t((res.car!=c \n\t\t\tor\n\t\t\t\t\/\/or the reservation is expired\n\t\t\t\t(res.car=c and res.endTime>res.time+1)) \n\t\tand \n\t\t\t\/\/and there is no rent on the car\n\t\t\t(rent.reservation.car!=c \n\t\t\t\tor\n\t\t\t\t\t\/\/or the rent is finished\n\t\t\t\t\t(rent.endRent=True and rent.reservation.car=c))) implies c.state=FreeState\n\t\n\t\/\/A rent can be done only after a reservation\n\tall rent:Rent,res:Reservation| rent.reservation=res implies rent.startTime>res.time and rent.startTime<=res.time+1\n\n\t\/\/Two different rent can't have the same reservation\n\tall r1,r2:Rent| r1!=r2 implies r1.reservation!=r2.reservation\n\n\t\/\/There is just one rent not finish for each car\n\tall r1,r2:Rent|r1.endRent=False and r2.reservation.car=r1.reservation.car implies !(r2.endRent=False)\n\t\n\t\/\/A rent can end only in a station\n\tall rent:Rent,c:Car,s:Station|rent.reservation.car=c and c.readyToEnd=True implies c.position=s.position\n\t\n\t\/\/A rent has been concluded only in a station\n\tall rent:Rent,s:Station|rent.endRent=True implies rent.reservation.car.position=s.position\t\n\n\t\/\/Discount for battery state applyed only if the rent in ended and the battery state is >50\n\tall rent:Rent| rent.reservation.car.battery>50 and rent.endRent=True implies rent.applyDiscount=20\n\t\n\t\/\/Discount for passengers is applyed only if the rent is finished and more than 2 passengers were found\n\tall rent:Rent| rent.passengers>2 and rent.endRent=True implies rent.applyDiscount=20\n\t\n\t\/\/All the cars parked are free\n\tall car:Car,s:Station| car.position=s.position and car.state=FreeState implies car in s.parkedCar\n\t\n\t\/\/If a car is plugged is also parked\n\tall s:SafeArea,car:Car|car in s.pluggedCar implies car in s.parkedCar   \n\n\t\/\/the user get a discount parking and plugging the car\n\tall car:Car,s:SafeArea,r1,r2:Rent| car in s.parkedCar and car in s.pluggedCar implies r1.applyDiscount=30\n\t\n\t\/\/Safe area overtax\n\tall car:Car,p:Parking, r1,r2:Rent | car in p.parkedCar and p.distanceFromCharge>3 implies r1.applyDiscount=0 and r1.applyOvertax=30\n\t\n\tall car:Car| car.state=FreeState implies car in Station.parkedCar\n\t\n\tno s:SafeArea| #s.pluggedCar>#s.parkedCar\n\n\t\/\/Overtaxes are 0 or 30\n\tall rent:Rent| rent.applyOvertax=0 or rent.applyOvertax=30\n\n\t\/\/the bill is calculate only if the rent is finish\n\tall rent:Rent| rent.applyOvertax>0 or rent.applyDiscount>0 implies rent.endRent=True\n}\n\n\/\/ASSUMPTION\n\n\/\/A car can be reused after a rent\nassert CarReused{\n\tall r1,r2:Rent| r1.endRent=True and r2.endRent=False and r1.reservation.car= r2.reservation.car implies r2.startTime>r1.endTime\n}\n\n\/\/There are as many driver license as users\nassert DriverForEachDocument{\n\t#DriverLicense = #User\n\t#User=#Email\n}\n\nassert UserPaymentMethod{\n\t#User.payInfo<=#PaymentMethod\n}\n\n\/\/The rent with taxes can't have a discount\nassert RentOverTaxes{\n\tall rent:Rent| rent.applyOvertax>0 implies rent.applyDiscount<rent.applyOvertax\n}\n\n\/\/the plugged car can't be in use\nassert PluggedCar{\n\tall rent:Rent| rent.reservation.car in SafeArea.pluggedCar implies !rent.endRent=False\n}\n\ncheck PluggedCar\n\ncheck RentOverTaxes\n\ncheck UserPaymentMethod\n\ncheck CarReused for 5\n\ncheck DriverForEachDocument for 5\n\n\npred SimpleWorld\n{\n\t#User <3\n\t#Car < 4\n\t#Station< 4\n\t#Reservation < 4\n\t#Rent <3\n}\n\npred RealWorld\n{\n\t#User > 2\n\t#Car > 3\n\t#SafeArea> 1\n\t#Parking > 2\n\t#Reservation > 2\n\t#Rent > 1\n}\n\nrun SimpleWorld for 6\n\nrun RealWorld for 6\n","old_contents":"module PowEnj \n\/\/SIGNATURES\nsig Position{}\nsig Email{}\nsig Code{}\n\nsig Plug{}\n\nabstract sig Bool{}\nsig False extends Bool{}\nsig True extends Bool{}\n\nabstract sig State{}\nsig FreeState extends State{}\nsig ReservedState extends State{}\nsig RentedState extends State{}\n\nsig DriverLicense{\n\tcode:one Code,\n\texpiration:Int\n}\n{ \n\texpiration>0\n}\n\n\nsig User\n{\n\tpayInfo: some PaymentMethod,\n\tposition: one Position,\n\tlicense: one DriverLicense,\n\temail:one Email\n}\n\nsig Reservation{\n\tuser:one User,\n\ttime:Int,\n\tendTime:Int,\n\tcar:one Car\n}\n{\n\ttime>0\n\tendTime>time\n}\n\nsig Rent\n{\n\tstartTime: one  Int,\n\tendTime:one Int,\n\tendRent:one Bool,\n\tapplyDiscount:one Int,\n\tapplyOvertax:one Int, \n\ttotalCost:Int,\n\tpassengers:one  Int,\n\treservation:one Reservation,\n\tpayment:one PaymentMethod\n}{\n\tpassengers>=0\n\tstartTime>0\n\tendTime>startTime\n\tapplyOvertax>=0\n\tapplyDiscount>=0\n}\n\n\nabstract sig Station{\n\tparkedCar:set Car,\n\tpositoin:one Position\n}\n\nsig  Parking extends Station{\n\tdistanceFromCharge:Int\n}{\n\tdistanceFromCharge>0\n}\n\n\nsig SafeArea extends Station\n{\n\tpluggedCar: set Car,\n\tplugAvailable: set Plug,\n}\n\n\nsig PaymentMethod\n{\n\ttransactionCode: one Code\n}\n\nsig Car\n{\n\tposition:one Position,\n\tbattery: Int,\n\tplate: one Code,\n\tstate:one State,\n\treadyToEnd:one Bool\n}{\n\tbattery>=0 and battery<=100\n}\n\n\/\/FACT\n\nfact{\n\t\/\/No useless paymentMethod\n\tUser.payInfo=PaymentMethod\n\t\/\/No useless Plug\n\tSafeArea.plugAvailable=Plug\n\t\/\/No useless Email\n\tUser.email=Email\n\t\/\/No useless Position\n\tCar.position+User.position=Position\n\t\/\/No useless Code\n\tCar.plate+PaymentMethod.transactionCode+DriverLicense.code=Code\n\t\/\/No useless State\n\tCar.state=State\n\t\/\/No useless Bool\n\tRent.endRent=Bool\n\t\/\/No useless License\n\tUser.license=DriverLicense\n\n\t\/\/No PaymentMethod with the same code\n\tall p1,p2:PaymentMethod| p1!=p2 implies p1.code!=p2.code\n\t\/\/No car with the same plate\n\tall c1, c2: Car | c1!=c2 implies c1.plate!=c2.plate\n\t\/\/No users with same email\n\tall u1,u2:User| u1!=u2 implies u1.email!=u2.email\n\t\/\/No users with same license\n\tall u1,u2:User| u1!=u2 implies u1.license!=u2.license\n\n\t\/\/No reservation for the same car in a time<1\n\tall r1,r2:Reservation | (r1!=r2 and r1.car=r2.car) implies (r1.time>r2.time+1 or r2.time>r1.time+1)\n\n\t\/\/If a car is reserved is in reserved state\n\tall r:Reservation,c:Car,rent:Rent|  (r.car=c and  !(rent.endRent=False and rent.reservation.car=c)) implies c.state=ReservedState\n\t\n\t\/\/if a car is in use is in rentedState\n\tall c:Car,r:Rent| r.reservation.car=c and r.endRent=False implies c.state=RentedState\n\t\n\t\/\/if a car is not rented or reserved is in free state and a reservation keep going for max 1 hour\n\tall c:Car,rent:Rent,res:Reservation| \n\t\t\/\/if the car is not reserved\n\t\t((res.car!=c \n\t\t\tor\n\t\t\t\t\/\/or the reservation is expired\n\t\t\t\t(res.car=c and res.endTime>res.time+1)) \n\t\tand \n\t\t\t\/\/and there is no rent on the car\n\t\t\t(rent.reservation.car!=c \n\t\t\t\tor\n\t\t\t\t\t\/\/or the rent is finished\n\t\t\t\t\t(rent.endRent=True and rent.reservation.car=c))) implies c.state=FreeState\n\t\n\t\/\/A rent can be done only after a reservation\n\tall rent:Rent,res:Reservation| rent.reservation=res implies rent.startTime>res.time and rent.startTime<=res.time+1\n\n\t\/\/Two different rent can't have the same reservation\n\tall r1,r2:Rent| r1!=r2 implies r1.reservation!=r2.reservation\n\n\t\/\/There is just one rent not finish for each car\n\tall r1,r2:Rent|r1.endRent=False and r2.reservation.car=r1.reservation.car implies !(r2.endRent=False)\n\t\n\t\/\/A rent can end only in a station\n\tall rent:Rent,c:Car,s:Station|rent.reservation.car=c and c.readyToEnd=True implies c.position=s.position\n\t\n\t\/\/A rent has been concluded only in a station\n\tall rent:Rent,s:Station|rent.endRent=True implies rent.reservation.car.position=s.position\t\n\n\t\/\/Discount for battery state applyed only if the rent in ended and the battery state is >50\n\tall rent:Rent| rent.reservation.car.battery>50 and rent.endRent=True implies rent.applyDiscount=20\n\t\n\t\/\/Discount for passengers is applyed only if the rent is finished and more than 2 passengers were found\n\tall rent:Rent| rent.passengers>2 and rent.endRent=True implies rent.applyDiscount=20\n\t\n\t\/\/All the cars parked are free\n\tall car:Car,s:Station| car.position=s.position and car.state=FreeState implies car in s.parkedCar\n\t\n\t\/\/If a car is plugged is also parked\n\tall s:SafeArea,car:Car|car in s.pluggedCar implies car in s.parkedCar   \n\n\t\/\/the user get a discount parking and plugging the car\n\tall car:Car,s:SafeArea,r1,r2:Rent| car in s.parkedCar and car in s.pluggedCar implies r1.applyDiscount=30\n\t\n\t\/\/Safe area overtax\n\tall car:Car,p:Parking, r1,r2:Rent | car in p.parkedCar and p.distanceFromCharge>3 implies r1.applyDiscount=0 and r1.applyOvertax=30\n\t\n\tno s:SafeArea| #s.pluggedCar>#s.parkedCar\n\n\t\/\/Overtaxes are 0 or 30\n\tall rent:Rent| rent.applyOvertax=0 or rent.applyOvertax=30\n\n\tall rent:Rent| rent.applyOvertax>0 or rent.applyDiscount>0 implies rent.endRent=True\n}\n\n\/\/ASSUMPTION\n\n\/\/A car can be reused after a rent\nassert CarReused{\n\tall r1,r2:Rent| r1.endRent=True and r2.endRent=False and r1.reservation.car= r2.reservation.car implies r2.startTime>r1.endTime\n}\n\n\/\/There are as many driver license as users\nassert DriverForEachDocument{\n\t#DriverLicense = #User\n\t#User=#Email\n}\n\nassert UserPaymentMethod{\n\t#User.payInfo<=#PaymentMethod\n}\n\n\/\/The rent with taxes can't have a discount\nassert RentOverTaxes{\n\tall rent:Rent| rent.applyOvertax>0 implies rent.applyDiscount<rent.applyOvertax\n}\n\n\/\/the plugged car can't be in use\nassert PluggedCar{\n\tall rent:Rent| rent.reservation.car in SafeArea.pluggedCar implies !rent.endRent=False\n}\n\ncheck PluggedCar\n\ncheck RentOverTaxes\n\ncheck UserPaymentMethod\n\ncheck CarReused for 5\n\ncheck DriverForEachDocument for 5\n\n\npred SimpleWorld\n{\n\t#User <3\n\t#Car < 4\n\t#Station< 4\n\t#Reservation < 4\n\t#Rent <3\n}\n\npred RealWorld\n{\n\t#User > 2\n\t#Car > 3\n\t#SafeArea> 1\n\t#Parking > 2\n\t#Reservation > 2\n\t#Rent > 1\n}\n\nrun SimpleWorld for 6\n\nrun RealWorld for 6\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"c55e99720895548e205420a94975e3d923d432c0","subject":"tightened types to help the solver","message":"tightened types to help the solver\n","repos":"septract\/stellite-tool","old_file":"alloy\/checkTemplate.als","new_file":"alloy\/checkTemplate.als","new_contents":"\n\/****************************************************\/ \n\/* Inclusion checking code.                         *\/ \n\/* Template: .\/alloy\/checkTemplate.als              *\/ \n\/****************************************************\/ \n\npred histIncl() { \n  all dom, dom' : set Action, \n      kind, kind' : Action -> Kind,\n      gloc, gloc' : Action -> Glob,\n      lloc, lloc' : Action -> Thr, \n      callmap, retmap : Thr -> Val, \n      wv, rv : Action -> Val, \n      sb, sb' : Action -> Action,\n      hb, mo, rf, guar, deny : Action -> Action\n    when { \n      \/\/ Optimisation definition \n      optPred[dom, dom', kind, kind', gloc, gloc', lloc, lloc', ^sb, ^sb'] \n\n      \/\/ Enforce validity for LHS\n      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Interfaces are the same\n      Extern & dom = Extern & dom' \n      Extern <: gloc = Extern <: gloc' \n      Extern <: kind = Extern <: kind' \n   \n      \/\/ Nonatomics disabled \n      \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\n      guar = getguar[dom, ^hb] \n      deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n \n      \/\/ Cut irrelevant executions. \n      cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n      cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Sanity conditions \n      Action = dom + dom' \n      Loc = dom.(lloc + gloc) + dom'.(lloc' + gloc') \n\n      \/\/ Make the relations nicer to display \n      is_core[hb] \n      is_core[sb] \n      is_core[sb'] \n  } | \n  some wvi, rvi : Intern -> Val, \n       mo', rf' : Action -> Action | { \n   let hb' = ^(sb' + rf'), \n       wv' = wvi + (Extern <: wv), \n       rv' = rvi + (Extern <: rv) | { \n\n      \/\/ Enforce validity for RHS \n      valid[dom', kind', gloc', lloc', callmap, retmap, wv', rv', ^hb', ^sb', mo', rf']\n\n      \/\/ Atomics disabled \n      \/\/DRF[dom', kind', loc', wv', rv', ^hb', sb', mo', rf']\n \n      \/\/ Histories are related\n      getguar[dom', ^hb'] in guar \n      getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n    } \n  }\n} \n\n\/\/ check { histIncl } for 7\n\n\n\/****************************************************\/ \n\/* Debugging code.                                  *\/  \n\/* Generate LHS \/ RHS of the inclusion.             *\/ \n\/****************************************************\/ \n\n\/\/ pred histInclRun() { \n\/\/   some dom, dom' : set Action, kind, kind' : Action -> Kind,\n\/\/        gloc, gloc', lloc, lloc' : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb, sb' : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action,\n\/\/        wvi, rvi : Intern -> Val, \n\/\/        mo', rf' : Action -> Action | { \n\/\/    let hb' = ^(sb' + rf'), \n\/\/        wv' = wvi + (Extern <: wv), \n\/\/        rv' = rvi + (Extern <: rv) | { \n\/\/       \/\/ Optimisation definition \n\/\/       optPred[dom, dom', kind, kind', gloc, gloc', lloc, lloc', ^sb, ^sb'] \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom + dom' \n\/\/       Loc = dom.(lloc + gloc) + dom'.(lloc' + gloc') \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       is_core[sb'] \n\/\/ \n\/\/       \/\/ one Call & (dom + dom') \n\/\/       \/\/ one Ret & (dom + dom') \n\/\/       \n\/\/       \/\/ \/\/ Pre-execution structure\n\/\/       \/\/ preexecWF[dom, kind, gloc, lloc, sb] \n\/\/       \/\/ preexecWF[dom', kind', gloc', lloc', ^sb'] \n\/\/ \n\/\/       Extern & dom = Extern & dom' \n\/\/       Extern <: gloc = Extern <: gloc' \n\/\/       Extern <: kind = Extern <: kind' \n\/\/       valid[dom', kind', gloc', lloc', callmap, retmap, wv', rv', ^hb', ^sb', mo', rf']\n\/\/ \n\/\/       \/\/ Atomics disabled \n\/\/       \/\/DRF[dom', kind', loc', wv', rv', ^hb', ^sb', mo', rf']\n\/\/  \n\/\/       getguar[dom', ^hb'] in guar \n\/\/       getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n\/\/     } \n\/\/   }\n\/\/ } \n\/\/ \n\/\/ pred histInclRunLHS() { \n\/\/   some dom : set Action, kind : Action -> Kind,\n\/\/        gloc, lloc : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action, \n\/\/        x: Glob, l : Thr | { \n\/\/       \/\/ Optimisation definition \n\/\/       optLHS[dom - Extern, kind, gloc, lloc, ^sb, x, l] \n\/\/       preexecWF[dom, kind, gloc, lloc, sb]  \n\/\/       one Call & dom \n\/\/       one Ret & dom \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom \n\/\/       Loc = dom.(lloc + gloc) \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/   }\n\/\/ } \n\n\n\/\/run { histInclRun } for 4\n\/\/run { histInclRunLHS } for 6 \n\n\n","old_contents":"\n\/****************************************************\/ \n\/* Inclusion checking code.                         *\/ \n\/* Template: .\/alloy\/checkTemplate.als              *\/ \n\/****************************************************\/ \n\npred histIncl() { \n  all dom, dom' : set Action, kind, kind' : Action -> Kind,\n      gloc, gloc', lloc, lloc' : Action -> Loc, \n      callmap, retmap : Thr -> Val, \n      wv, rv : Action -> Val, \n      sb, sb' : Action -> Action,\n      hb, mo, rf, guar, deny : Action -> Action\n    when { \n      \/\/ Optimisation definition \n      optPred[dom, dom', kind, kind', gloc, gloc', lloc, lloc', ^sb, ^sb'] \n\n      \/\/ Enforce validity for LHS\n      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Interfaces are the same\n      Extern & dom = Extern & dom' \n      Extern <: gloc = Extern <: gloc' \n      Extern <: kind = Extern <: kind' \n   \n      \/\/ Nonatomics disabled \n      \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\n      guar = getguar[dom, ^hb] \n      deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n \n      \/\/ Cut irrelevant executions. \n      cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n      cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Sanity conditions \n      Action = dom + dom' \n      Loc = dom.(lloc + gloc) + dom'.(lloc' + gloc') \n\n      \/\/ Make the relations nicer to display \n      is_core[hb] \n      is_core[sb] \n      is_core[sb'] \n  } | \n  some wvi, rvi : Intern -> Val, \n       mo', rf' : Action -> Action | { \n   let hb' = ^(sb' + rf'), \n       wv' = wvi + (Extern <: wv), \n       rv' = rvi + (Extern <: rv) | { \n\n      \/\/ Enforce validity for RHS \n      valid[dom', kind', gloc', lloc', callmap, retmap, wv', rv', ^hb', ^sb', mo', rf']\n\n      \/\/ Atomics disabled \n      \/\/DRF[dom', kind', loc', wv', rv', ^hb', sb', mo', rf']\n \n      \/\/ Histories are related\n      getguar[dom', ^hb'] in guar \n      getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n    } \n  }\n} \n\n\/\/ check { histIncl } for 7\n\n\n\/****************************************************\/ \n\/* Debugging code.                                  *\/  \n\/* Generate LHS \/ RHS of the inclusion.             *\/ \n\/****************************************************\/ \n\n\/\/ pred histInclRun() { \n\/\/   some dom, dom' : set Action, kind, kind' : Action -> Kind,\n\/\/        gloc, gloc', lloc, lloc' : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb, sb' : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action,\n\/\/        wvi, rvi : Intern -> Val, \n\/\/        mo', rf' : Action -> Action | { \n\/\/    let hb' = ^(sb' + rf'), \n\/\/        wv' = wvi + (Extern <: wv), \n\/\/        rv' = rvi + (Extern <: rv) | { \n\/\/       \/\/ Optimisation definition \n\/\/       optPred[dom, dom', kind, kind', gloc, gloc', lloc, lloc', ^sb, ^sb'] \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom + dom' \n\/\/       Loc = dom.(lloc + gloc) + dom'.(lloc' + gloc') \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       is_core[sb'] \n\/\/ \n\/\/       \/\/ one Call & (dom + dom') \n\/\/       \/\/ one Ret & (dom + dom') \n\/\/       \n\/\/       \/\/ \/\/ Pre-execution structure\n\/\/       \/\/ preexecWF[dom, kind, gloc, lloc, sb] \n\/\/       \/\/ preexecWF[dom', kind', gloc', lloc', ^sb'] \n\/\/ \n\/\/       Extern & dom = Extern & dom' \n\/\/       Extern <: gloc = Extern <: gloc' \n\/\/       Extern <: kind = Extern <: kind' \n\/\/       valid[dom', kind', gloc', lloc', callmap, retmap, wv', rv', ^hb', ^sb', mo', rf']\n\/\/ \n\/\/       \/\/ Atomics disabled \n\/\/       \/\/DRF[dom', kind', loc', wv', rv', ^hb', ^sb', mo', rf']\n\/\/  \n\/\/       getguar[dom', ^hb'] in guar \n\/\/       getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n\/\/     } \n\/\/   }\n\/\/ } \n\/\/ \n\/\/ pred histInclRunLHS() { \n\/\/   some dom : set Action, kind : Action -> Kind,\n\/\/        gloc, lloc : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action, \n\/\/        x: Glob, l : Thr | { \n\/\/       \/\/ Optimisation definition \n\/\/       optLHS[dom - Extern, kind, gloc, lloc, ^sb, x, l] \n\/\/       preexecWF[dom, kind, gloc, lloc, sb]  \n\/\/       one Call & dom \n\/\/       one Ret & dom \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom \n\/\/       Loc = dom.(lloc + gloc) \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/   }\n\/\/ } \n\n\n\/\/run { histInclRun } for 4\n\/\/run { histInclRunLHS } for 6 \n\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"31f6f91b3fbf6c4e02a4329933a4a999f3dc73ee","subject":"ptags","message":"ptags\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/exec.als","new_file":"archs\/exec.als","new_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  EV : set E,      \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  IW : set E,      \/\/ initial writes\n  NAL : set E,     \/\/ events accessing non-atomic locations\n  sb : E->E,       \/\/ sequenced before\n  ad,cd,dd : E->E, \/\/ address, control, data dependencies\n  sthd : E->E,     \/\/ same thread (partial E.R.)\n  sloc : E->E,     \/\/ same location (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E->E,       \/\/ reads-from\n  co : E->E,       \/\/ coherence order\n}{\n  \/\/ EV captures all and only the events involved\n  W + R + F = EV\n\n  \/\/ some reads and writes may access \"non-atomic\" locations\n  NAL in (R + W)\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n\n  \/\/ initial events are ordinary writes\n  IW in W - R\n\n  \/\/ at most one initial write per location\n  (IW -> IW) & sloc in iden\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/*\n  \/\/ sequenced-before has the \"N-free\" property\n  all a,b,c,d : EV | not (\n\t((b->d) + (a->d) + (a->c)) in sb and\n      \tno (((a->b) + (b->c) + (c->d)) & *sb))\n  *\/\n\n  \/\/ sequenced-before is total within a thread\n  sthd in *sb + ~*sb\n\n  \/\/ sthd is an equivalence relation among non-initial events\n  is_equivalence[sthd, EV - IW]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  NAL . sloc = NAL\n\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union, over all atomic locations x, of strict\n  \/\/ total orders on writes to x\n  (co + ~co) = ((W - NAL) -> (W - NAL)) & sloc - iden\n\n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> EV) & sb\n  \t\n}\n\npred withinit[X:Exec] {\n  \/\/ rf connects each read to exactly one write\n  X.rf in X.W one -> X.R\n\n  \/\/ for every event that accesses a location, there is\n  \/\/ exactly one initial event at the same location\n  all e : X.(R+W) | one (e.(X.sloc) & X.IW)\n\n  \/\/ initial writes have no co-predecessor\n  all e : X.IW | no e.~(X.co)\n}\n\npred withoutinit[X:Exec] {\n  \/\/ rf connects each read to at most one write\n  X.rf in X.W lone -> X.R\n    \n  \/\/ there are no initial writes\n  no X.IW\n}\n\nfun addsb[e:PTag->E, X:Exec, F:set E] : E->E {\n  *(sb[e,X]) . (stor[F]) . *(sb[e,X]) }\n  \n\n\/\/ Perturbation Tags are an idea due to Daniel Lustig et al.\n\/\/ (ASPLOS'17, http:\/\/dl.acm.org\/citation.cfm?id=3037723)\nabstract sig PTag {}\none sig rm_EV extends PTag {}\none sig rm_ad extends PTag {}\none sig rm_cd extends PTag {}\none sig rm_dd extends PTag {}\n\nfun EV [e:PTag->E, X:Exec] : set E { X.EV - e[rm_EV] }\nfun W [e:PTag->E, X:Exec] : set E { X.W - e[rm_EV] }\nfun IW [e:PTag->E, X:Exec] : set E { X.IW - e[rm_EV] }\nfun R [e:PTag->E, X:Exec] : set E { X.R - e[rm_EV] }\nfun F [e:PTag->E, X:Exec] : set E { X.F - e[rm_EV] }\nfun NAL [e:PTag->E, X:Exec] : set E { X.NAL - e[rm_EV] }\n\nfun sb [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sb :> (univ - e[rm_EV]) }\nfun ad [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_ad]) <: X.ad :> (univ - e[rm_EV]) }\nfun dd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_dd]) <: X.dd :> (univ - e[rm_EV]) }\nfun cd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_cd]) <: X.cd :> (univ - e[rm_EV]) }\nfun sthd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sthd :> (univ - e[rm_EV]) }\nfun sloc [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sloc :> (univ - e[rm_EV]) }\nfun rf [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.rf :> (univ - e[rm_EV]) }\nfun co [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.co :> (univ - e[rm_EV]) }\n","old_contents":"module exec[E]\nopen relations[E]\n\nsig Exec {\n  EV : set E,      \/\/ domain of all events\n  W, R, F : set E, \/\/ writes, reads, fences\n  IW : set E,      \/\/ initial writes\n  NAL : set E,     \/\/ events accessing non-atomic locations\n  sb : E->E,       \/\/ sequenced before\n  ad,cd,dd : E->E, \/\/ address, control, data dependencies\n  sthd : E->E,     \/\/ same thread (partial E.R.)\n  sloc : E->E,     \/\/ same location (partial E.R.)\n  \/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\n  rf : E->E,       \/\/ reads-from\n  co : E->E,       \/\/ coherence order\n}{\n  \/\/ EV captures all and only the events involved\n  W + R + F = EV\n\n  \/\/ some reads and writes may access \"non-atomic\" locations\n  NAL in (R + W)\n    \n  \/\/ fences are disjoint from accesses\n  no ((R + W) & F)\n\n  \/\/ initial events are ordinary writes\n  IW in W - R\n\n  \/\/ at most one initial write per location\n  (IW -> IW) & sloc in iden\n    \t\n  \/\/ sequenced-before is intra-thread\n  sb in sthd\n\n  \/\/ sequenced-before is acyclic and transitive\n  strict_partial_order[sb]\n\n  \/*\n  \/\/ sequenced-before has the \"N-free\" property\n  all a,b,c,d : EV | not (\n\t((b->d) + (a->d) + (a->c)) in sb and\n      \tno (((a->b) + (b->c) + (c->d)) & *sb))\n  *\/\n\n  \/\/ sequenced-before is total within a thread\n  sthd in *sb + ~*sb\n\n  \/\/ sthd is an equivalence relation among non-initial events\n  is_equivalence[sthd, EV - IW]\n    \n  \/\/ loc is an equivalence relation among reads and writes\n  is_equivalence[sloc, R + W]\n\n  \/\/ naL contains zero or more sloc-classes\n  NAL . sloc = NAL\n\n  rf in sloc\n\n  \/\/ co is acyclic and transitive\n  strict_partial_order[co]\n\n  \/\/ co is a union, over all atomic locations x, of strict\n  \/\/ total orders on writes to x\n  (co + ~co) = ((W - NAL) -> (W - NAL)) & sloc - iden\n\n  \/\/ Event e2 has an \"address dependency\" on e1 if\n  \/\/ location[e2] depends on valr[e1]. Therefore \"(e1,e2) in ad\"\n  \/\/ only makes sense when e1 is a read and e2 is a read or a write\n  \/\/ sequenced after e1.\n  ad in (R -> (R + W)) & sb\n\n  \/\/ Event e2 has a \"data dependency\" on e1 if valw[e2] depends\n  \/\/ on valr[e1]. Therefore \"(e1,e2) in data\" only makes sense when\n  \/\/ e1 is a read and e2 is a write sequenced after e1.\n  dd in (R -> W) & sb\n \n  \/\/ Event e2 has a \"control dependency\" on e1 if\n  \/\/ valr[e1] is used to make a subsequent branching decision\n  \/\/ and e2 follows that branch in program order. Therefore\n  \/\/ \"(e1,e2) in cd\" only makes sense when e1 is a read and e2\n  \/\/ is sequenced after e1.\n  cd in (R -> EV) & sb\n  \t\n}\n\npred withinit[X:Exec] {\n  \/\/ rf connects each read to exactly one write\n  X.rf in X.W one -> X.R\n\n  \/\/ for every event that accesses a location, there is\n  \/\/ exactly one initial event at the same location\n  all e : X.(R+W) | one (e.(X.sloc) & X.IW)\n\n  \/\/ initial writes have no co-predecessor\n  all e : X.IW | no e.~(X.co)\n}\n\npred withoutinit[X:Exec] {\n  \/\/ rf connects each read to at most one write\n  X.rf in X.W lone -> X.R\n    \n  \/\/ there are no initial writes\n  no X.IW\n}\n\nfun addsb[e:PTag->E, X:Exec, F:set E] : E->E {\n  *(sb[e,X]) . (stor[F]) . *(sb[e,X]) }\n  \n\nabstract sig PTag {} \/\/ Perturbation Tag\none sig rm_EV extends PTag {}\none sig rm_ad extends PTag {}\none sig rm_cd extends PTag {}\none sig rm_dd extends PTag {}\n\nfun EV [e:PTag->E, X:Exec] : set E { X.EV - e[rm_EV] }\nfun W [e:PTag->E, X:Exec] : set E { X.W - e[rm_EV] }\nfun IW [e:PTag->E, X:Exec] : set E { X.IW - e[rm_EV] }\nfun R [e:PTag->E, X:Exec] : set E { X.R - e[rm_EV] }\nfun F [e:PTag->E, X:Exec] : set E { X.F - e[rm_EV] }\nfun NAL [e:PTag->E, X:Exec] : set E { X.NAL - e[rm_EV] }\n\nfun sb [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sb :> (univ - e[rm_EV]) }\nfun ad [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_ad]) <: X.ad :> (univ - e[rm_EV]) }\nfun dd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_dd]) <: X.dd :> (univ - e[rm_EV]) }\nfun cd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV] - e[rm_cd]) <: X.cd :> (univ - e[rm_EV]) }\nfun sthd [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sthd :> (univ - e[rm_EV]) }\nfun sloc [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.sloc :> (univ - e[rm_EV]) }\nfun rf [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.rf :> (univ - e[rm_EV]) }\nfun co [e:PTag->E, X:Exec] : E->E {\n  (univ - e[rm_EV]) <: X.co :> (univ - e[rm_EV]) }\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"b813a8472151972c137b4cf5174e64bf454da276","subject":"refactor","message":"refactor\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\n-- about rows\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n\npred blackHeadInCol (c: Col, r: Row) {\n\tis_black_head[c, r, rows\/prev]\n}\npred blackHeadInRow (c: Col, r: Row) {\n\tis_black_head[c, r, cols\/prev]\n}\n\n-- about cols\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [start.index, minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\npred blackHeadInCol (c: Col, r: Row) {\n\tis_black_head[c, r, rows\/prev]\n}\npred blackHeadInRow (c: Col, r: Row) {\n\tis_black_head[c, r, cols\/prev]\n}\n\n-- about cols\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [start.index, minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"72ec6ab0e0f3fa323ac6667478c8a5dfeabfc1ec","subject":"updating tdrf experiment for benjamin","message":"updating tdrf experiment for benjamin\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_tdrf.als","new_file":"mappings\/c11_tdrf.als","new_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\nopen ..\/models\/tsc[E] as N\n\nmodule c11_tdrf[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  not (N\/consistent[none->none,X])\n\n  \/\/ all transactions are atomic\n  no (X.stxn - X.atxn)\n\n  \/\/ avoid non-SC atomic operations\n  no (X.A - X.SC)\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 7 E \/\/ started on benjamin 1448 on fri 3 nov\n","old_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\nopen ..\/models\/tsc[E] as N\n\nmodule c11_tdrf[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  not (N\/consistent[none->none,X])\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 6 E\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"f693d8156ce8d8eb85230980d819e862dbbf42d1","subject":"Added extra lemma and predicate to confirm that scenario matching is accurate.","message":"Added extra lemma and predicate to confirm that scenario matching is accurate.\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Lemmas.als","new_file":"models\/Lemmas.als","new_contents":"-- Copyright (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Lemmas\n\nopen Voting\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies \n     c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert pluralityNoTransfers {\n  all c: Candidate | Election.method = Plurality implies 0 = #c.transfers\n}\ncheck pluralityNoTransfers for 13 but 7 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = WinnerNonTransferable or \n\t\tc.outcome = QuotaWinnerNonTransferable or c.outcome = SurplusWinner or\n\t\tc.outcome = AboveQuotaWinner or\n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ Equal losers are tied or excluded early before last round\nassert equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or \n    l.outcome = TiedSoreLoser or\n    l.outcome = EarlyLoserNonTransferable or\n    l.outcome = EarlySoreLoserNonTransferable or\n    l.outcome = EarlyLoser)\n}\ncheck equalityofTiedWinnersAndLosers for 16 but 7 int\n\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | 0 < #b.preferences implies \n      b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = EarlySoreLoserNonTransferable or c.outcome = EarlySoreLoser or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and 0 <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n\/\/ STV threshold below quota\nassert thresholdBelowQuota {\n   Election.method = STV and 0 < #Ballot implies Scenario.threshold <= Scenario.quota\n}\ncheck thresholdBelowQuota for 13 but 7 int\n\n\/\/ Plurality sore loser\nassert pluralitySoreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser and Election.method = Plurality) implies\n       #c.votes < Scenario.threshold\n}\ncheck pluralitySoreLoser for 13 but 7 int\n\n\/\/ Plurality winner for a single seat constituency\nassert pluralityWinner {\nall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\ncheck pluralityWinner for 2 but 7 int\n\n\/\/ Length of PR-STV ballot does not exceed number of candidates\nassert lengthOfBallot {\n  all b: Ballot | Election.method = STV implies\n    #b.preferences <= #Candidate\n}\ncheck lengthOfBallot for 7 int\n\n\/\/ Quota for a full election is less than for a by-election\nassert  fullQuota {\n\tScenario.fullQuota <= Scenario.quota\n}\ncheck fullQuota for 7 int\n\n\/\/ All transfers have a source either from a winner with surplus or by early elimination\n\/\/ of a loser\nassert transfersHaveSource {\n  all b: Ballot | some disj donor, receiver : Candidate | b in receiver.transfers \n   \t\timplies b in donor.votes and \n   \t\t(donor in Scenario.winners or donor in Scenario.eliminated)\n}\ncheck transfersHaveSource for 7 int \n\n\/\/ No missing candidates\nassert noMissingCandidates {\n  #Candidate = #Scenario.winners + #Scenario.losers\n  }\ncheck noMissingCandidates for 7 int\n\n\/\/ Spoilt votes are not allocated to any candidate\nassert handleSpoiltBallots {\n    no c : Candidate | some b : Ballot | b in c.votes and b in BallotBox.spoiltBallots\n}\ncheck handleSpoiltBallots for 7 int\n\n\/\/ Non-sore Loser is above threshold\nassert nonSoreLoserAboveThreshold {\n  no c : Candidate | c.outcome = Loser and \n    (#c.votes + #c.transfers) < Scenario.threshold\n}\ncheck nonSoreLoserAboveThreshold for 7 but  7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Candidate = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Candidate = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Candidate = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Candidate > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Candidate = 2\n}\nrun LW for 5 but 6 int\n\npred LWstv {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = STV and 0 < #Ballot and #Candidate = 2\n}\nrun LWstv for 7 but 7 int\n\npred LLWstv {\n  some disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner and\n  c2.outcome = Loser and \n  Election.method = STV and #Candidate = 3\n}\nrun LLWstv for 6 but 6 int\n\npred SW {\n  some disj c0,c1: Candidate | c0.outcome = SoreLoser and c1.outcome = Winner and \n  Election.method = Plurality and 1 < #Ballot and #Candidate = 2\n}\nrun SW for 2 but 7 int\n\npred StWt {\n  some disj c0,c1: Candidate | c0.outcome = TiedSoreLoser and \n  c1.outcome = TiedWinner and \n  Election.method = Plurality\n}\nrun StWt for 2 but 7 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Candidate = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Candidate = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLAQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and \n  b.outcome = AboveQuotaWinner and \n\t\tc.outcome = SurplusWinner and d.outcome = Winner and e.outcome = SoreLoser\n    #Candidate = 5\n}\nrun SLAQW for 16 but 7 int\n\npred SurplusWinner {\n some c: Candidate | c.outcome = SurplusWinner\n}\nrun SurplusWinner for 10 but 7 int\n\npred AboveQuotaWinner {\n some c: Candidate | c.outcome = AboveQuotaWinner\n}\nrun AboveQuotaWinner for 10 but 7 int\n\npred WinnerNonTransferable {\n\tsome c: Candidate | c.outcome = WinnerNonTransferable\n}\nrun WinnerNonTransferable for 16 but 7 int\n\npred QuotaWinnerNonTransferable {\n some c: Candidate | c.outcome = QuotaWinnerNonTransferable\n}\nrun QuotaWinnerNonTransferable for 16 but 7 int\n\npred SoreLoserNonTransferable {\n\tsome c: Candidate | c.outcome = EarlySoreLoserNonTransferable\n}\nrun SoreLoserNonTransferable for 16 but 7 int\n\npred EarlyLoserNonTransferable {\n some c: Candidate | c.outcome = EarlyLoserNonTransferable\n}\nrun EarlyLoserNonTransferable for 16 but 7 int\n\npred SLTT {\n  some disj c1,c3,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 4\n}\nrun SLTT for 13 but 7 int\n\npred SLLTT {\n  some disj c2,c3,c4,c8,c9: Candidate | \n    c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SLLTT for 13 but 7 int\n\npred SSLTT {\n  some disj c1,c2,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SSLTT for 13 but 7 int\n\npred SSLLTT {\n  some disj c1,c2,c3,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 6\n}\nrun SSLLTT for 13 but 7 int\n\npred SSLLLTTw {\n  some disj c0,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 7\n}\nrun SSLLLTTw for 13 but 7 int\n\npred SSSLLLTTw {\n  some disj c0,s2,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and s2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 8\n}\nrun SSSLLLTTw for 13 but 7 int\n\npred LLLLTTw {\n  some disj c3,c4,c5,c6,c7,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = TiedLoser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 6\n}\nrun LLLLTTw for 16 but 7 int\n\npred LLLLLLW {\n  some disj c3,c4,c5,c6,c7,c8,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = Winner and \n    Election.method = Plurality and \n    #Candidate = 7\n}\nrun LLLLLLW for 16 but 7 int\n\npred largeSurplus {\n  some c: Candidate | 0 < #c.surplus\n}\nrun largeSurplus for 10 but 7 int\n\npred LWW6 {\nsome disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner \n    and c2.outcome = Winner and Election.method = STV and #Candidate = 3\n}\nrun LWW6 for 16 but 7 int\n\npred LLLtLtWt {\n  some disj c5,c6,c7,c8,c9: Candidate | \n    c5.outcome = TiedLoser and \n    c6.outcome = TiedLoser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 5\n}\nrun LLLtLtWt for 10 but 7 int\n\npred LLLLWstv {\n  some disj a,b,c,d,e: Candidate | \n    e.outcome = Loser and \n    d.outcome = Loser and \n    c.outcome = Loser and \n    b.outcome = Loser and \n    a.outcome = Winner and \n    Election.method = STV and \n    #Candidate = 5\n}\nrun LLLLWstv for 16 but 7 int\n\n\n","old_contents":"-- Copyright (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Lemmas\n\nopen Voting\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies \n     c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert pluralityNoTransfers {\n  all c: Candidate | Election.method = Plurality implies 0 = #c.transfers\n}\ncheck pluralityNoTransfers for 13 but 7 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = WinnerNonTransferable or \n\t\tc.outcome = QuotaWinnerNonTransferable or c.outcome = SurplusWinner or\n\t\tc.outcome = AboveQuotaWinner or\n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ Equal losers are tied or excluded early before last round\nassert equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or \n    l.outcome = TiedSoreLoser or\n    l.outcome = EarlyLoserNonTransferable or\n    l.outcome = EarlySoreLoserNonTransferable or\n    l.outcome = EarlyLoser)\n}\ncheck equalityofTiedWinnersAndLosers for 16 but 7 int\n\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | 0 < #b.preferences implies \n      b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = EarlySoreLoserNonTransferable or c.outcome = EarlySoreLoser or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and 0 <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n\/\/ STV threshold below quota\nassert thresholdBelowQuota {\n   Election.method = STV and 0 < #Ballot implies Scenario.threshold <= Scenario.quota\n}\ncheck thresholdBelowQuota for 13 but 7 int\n\n\/\/ Plurality sore loser\nassert pluralitySoreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser and Election.method = Plurality) implies\n       #c.votes < Scenario.threshold\n}\ncheck pluralitySoreLoser for 13 but 7 int\n\n\/\/ Plurality winner for a single seat constituency\nassert pluralityWinner {\nall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\ncheck pluralityWinner for 2 but 7 int\n\n\/\/ Length of PR-STV ballot does not exceed number of candidates\nassert lengthOfBallot {\n  all b: Ballot | Election.method = STV implies\n    #b.preferences <= #Candidate\n}\ncheck lengthOfBallot for 7 int\n\n\/\/ Quota for a full election is less than for a by-election\nassert  fullQuota {\n\tScenario.fullQuota <= Scenario.quota\n}\ncheck fullQuota for 7 int\n\n\/\/ All transfers have a source either from a winner with surplus or by early elimination\n\/\/ of a loser\nassert transfersHaveSource {\n  all b: Ballot | some disj donor, receiver : Candidate | b in receiver.transfers \n   \t\timplies b in donor.votes and \n   \t\t(donor in Scenario.winners or donor in Scenario.eliminated)\n}\ncheck transfersHaveSource for 7 int \n\n\/\/ No missing candidates\nassert noMissingCandidates {\n  #Candidate = #Scenario.winners + #Scenario.losers\n  }\ncheck noMissingCandidates for 7 int\n\n\/\/ Spoilt votes are not allocated to any candidate\nassert handleSpoiltBallots {\n    no c : Candidate | some b : Ballot | b in c.votes and b in BallotBox.spoiltBallots\n}\ncheck handleSpoiltBallots for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Candidate = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Candidate = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Candidate = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Candidate > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Candidate = 2\n}\nrun LW for 5 but 6 int\n\npred LLWstv {\n  some disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner and\n  c2.outcome = Loser and \n  Election.method = STV and #Candidate = 3\n}\nrun LLWstv for 6 but 6 int\n\npred SW {\n  some disj c0,c1: Candidate | c0.outcome = SoreLoser and c1.outcome = Winner and \n  Election.method = Plurality and 1 < #Ballot and #Candidate = 2\n}\nrun SW for 2 but 7 int\n\npred StWt {\n  some disj c0,c1: Candidate | c0.outcome = TiedSoreLoser and \n  c1.outcome = TiedWinner and \n  Election.method = Plurality\n}\nrun StWt for 2 but 7 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Candidate = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Candidate = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLAQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and \n  b.outcome = AboveQuotaWinner and \n\t\tc.outcome = SurplusWinner and d.outcome = Winner and e.outcome = SoreLoser\n    #Candidate = 5\n}\nrun SLAQW for 16 but 7 int\n\npred SurplusWinner {\n some c: Candidate | c.outcome = SurplusWinner\n}\nrun SurplusWinner for 10 but 7 int\n\npred AboveQuotaWinner {\n some c: Candidate | c.outcome = AboveQuotaWinner\n}\nrun AboveQuotaWinner for 10 but 7 int\n\npred WinnerNonTransferable {\n\tsome c: Candidate | c.outcome = WinnerNonTransferable\n}\nrun WinnerNonTransferable for 16 but 7 int\n\npred QuotaWinnerNonTransferable {\n some c: Candidate | c.outcome = QuotaWinnerNonTransferable\n}\nrun QuotaWinnerNonTransferable for 16 but 7 int\n\npred SoreLoserNonTransferable {\n\tsome c: Candidate | c.outcome = EarlySoreLoserNonTransferable\n}\nrun SoreLoserNonTransferable for 16 but 7 int\n\npred EarlyLoserNonTransferable {\n some c: Candidate | c.outcome = EarlyLoserNonTransferable\n}\nrun EarlyLoserNonTransferable for 16 but 7 int\n\npred SLTT {\n  some disj c1,c3,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 4\n}\nrun SLTT for 13 but 7 int\n\npred SLLTT {\n  some disj c2,c3,c4,c8,c9: Candidate | \n    c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SLLTT for 13 but 7 int\n\npred SSLTT {\n  some disj c1,c2,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SSLTT for 13 but 7 int\n\npred SSLLTT {\n  some disj c1,c2,c3,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 6\n}\nrun SSLLTT for 13 but 7 int\n\npred SSLLLTTw {\n  some disj c0,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 7\n}\nrun SSLLLTTw for 13 but 7 int\n\npred SSSLLLTTw {\n  some disj c0,s2,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and s2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 8\n}\nrun SSSLLLTTw for 13 but 7 int\n\npred LLLLTTw {\n  some disj c3,c4,c5,c6,c7,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = TiedLoser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 6\n}\nrun LLLLTTw for 16 but 7 int\n\npred LLLLLLW {\n  some disj c3,c4,c5,c6,c7,c8,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = Winner and \n    Election.method = Plurality and \n    #Candidate = 7\n}\nrun LLLLLLW for 16 but 7 int\n\npred largeSurplus {\n  some c: Candidate | 0 < #c.surplus\n}\nrun largeSurplus for 10 but 7 int\n\npred LWW6 {\nsome disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner \n    and c2.outcome = Winner and Election.method = STV and #Candidate = 3\n}\nrun LWW6 for 16 but 7 int\n\npred LLLtLtWt {\n  some disj c5,c6,c7,c8,c9: Candidate | \n    c5.outcome = TiedLoser and \n    c6.outcome = TiedLoser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 5\n}\nrun LLLtLtWt for 10 but 7 int\n\npred LLLLWstv {\n  some disj a,b,c,d,e: Candidate | \n    e.outcome = Loser and \n    d.outcome = Loser and \n    c.outcome = Loser and \n    b.outcome = Loser and \n    a.outcome = Winner and \n    Election.method = STV and \n    #Candidate = 5\n}\nrun LLLLWstv for 16 but 7 int\n\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"58f6ffd0b85037c61b7e94c695944b27f1a443c7","subject":"Change one of the more complex axioms into a lemma, then added two simpler axioms required to prove the new lemma.","message":"Change one of the more complex axioms into a lemma, then added two simpler axioms required to prove the new lemma.\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n    threshold = 1 + quota.div[4]\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and #w.votes + #w.transfers = #l.votes + #l.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or b.outcome = TiedSoreLoser) implies\n\t\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact nonTiedWinnerHigherThanAllLosers {\n  all disj c,d: Candidate | \n\t(c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner) and \n\td in Scenario.losers implies\n\t #d.votes + #d.transfers < #c.votes + #c.transfers\n}\n\nfact winnerHigherThanAllNonTiedLosers {\n  all disj c,d: Candidate | c in Scenario.winners and \n     (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t #d.votes + #d.transfers < #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert pluralityNoTransfers {\n  all c: Candidate | Election.method = Plurality implies 0 = #c.transfers\n}\ncheck pluralityNoTransfers for 13 but 7 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ Equal losers are tied\nassert equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\ncheck equalityofTiedWinnersAndLosers for 13 but 7 int\n\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and Scenario.threshold <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Election.candidates = 2\n}\nrun LW for 5 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n    0 < #Ballot\n}\n\npred SLTT {\n  some disj c1,c3,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 4\n}\nrun SLTT for 13 but 7 int\n\npred SLLTT {\n  some disj c2,c3,c4,c8,c9: Candidate | \n    c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 5\n}\nrun SLLTT for 13 but 7 int\n\npred SSLTT {\n  some disj c1,c2,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 5\n}\nrun SSLTT for 13 but 7 int\n\npred SSLLTT {\n  some disj c1,c2,c3,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 6\n}\nrun SSLLTT for 13 but 7 int\n\npred SSLLLTT {\n  some disj c0,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedLoser and \n    Election.method = Plurality and #Election.candidates = 7\n}\nrun SSLLLTT for 20 but 7 int\n\npred SSSLLLLTTT {\n  some disj c0,c1,c2,c3,c4,c5,c6,c7,c8,c9: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and c6.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 10\n}\nrun SSSLLLLTTT for 13 but 7 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 01\n  day = 26\n  -- Dermot Cochran 2011-01-26\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n    threshold = 1 + quota.div[4]\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and (#w.votes + #w.transfers = #l.votes + #l.transfers)\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or b.outcome = TiedSoreLoser) implies\n\t\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies Scenario.threshold < #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and Scenario.threshold <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Election.candidates = 2\n}\nrun LW for 5 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n    0 < #Ballot\n}\n\npred tenCandidates {\n  some disj c0,c1,c2,c3,c4,c5,c6,c7,c8,c9: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and c6.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Election.candidates = 10\n}\nrun tenCandidates for 16 but 6 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 01\n  day = 25\n  -- Dermot Cochran 2011-01-25\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d81b0551c008d203ab157c4243ac905cc66eac31","subject":"add Peterson","message":"add Peterson\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"Perterson.als","new_file":"Perterson.als","new_contents":"open util\/ordering[Time]\nsig Time {}\n\none sig Memory {\n\tturn: Int -> Time,\n\tflag: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t}\n}\n\none sig PC {\n\tproc: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone proc[0].t\n\t\tone proc[1].t\n\t}\n}\n\n\nfact {\n\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\tlet t = first {\n\t\tMemory.turn.t = 0\n\t\tMemory.flag[0].t = 0\n\t\tMemory.flag[1].t = 0\n\t\t\/\/ \u6700\u521d\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u30ab\u30a6\u30f3\u30bf\u306f0\n\t\tPC.proc[0].t = 0\n\t\tPC.proc[1].t = 0\n \t}\n}\n\npred store(t: Time, target: univ -> Time, value: univ){\n\tone value\n\ttarget.t = value\n}\n\npred must_wait(t: Time, pid: Int){\n\tlet other = (0 + 1) - pid {\n\t\tMemory.flag[other].t = 1 \/\/ other\u304cwait\u3057\u3066\u3044\u308b\n\t\tMemory.turn.t = other \/\/ other\u304c\u512a\u5148\u6a29\u3092\u6301\u3063\u3066\u3044\u308b\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t: Time) {\n\t\/\/ \u5404\u6642\u523b\u3067\u3069\u3061\u3089\u304b\u306e\u30d7\u30ed\u30bb\u30b9\u304c1\u547d\u4ee4\u5b9f\u884c\u3059\u308b\n\tsome pid: (0 + 1) {\n\t\tlet pc = PC.proc[pid].(t.prev),\n\t\t\t\tnextpc = PC.proc[pid].t,\n\t\t\t\tother = (0 + 1) - pid\n\t\t{\n\n\t\t\t(pc = 0) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.flag[pid], 1]\n\t\t\t\tnextpc = 1\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\t\t\t(pc = 1) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.turn, other]\n\t\t\t\tnextpc = 2\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 2) => {\n\t\t\t\t\/\/ while( flag[1] && turn == 1 );\n\t\t\t\tmust_wait[t, pid] => {\n\t\t\t\t\tnextpc = 2\n\t\t\t\t}else{\n\t\t\t\t\tnextpc = 3\n\t\t\t\t}\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 3) => {\n\t\t\t\t\/\/ flag[0] = 0\n\t\t\t\tstore[t, Memory.flag[pid], 0]\n\t\t\t\tnextpc = 0\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\n\t\t\t\/\/ no change\n\t\t\tno_change[t, PC.proc[other]]\n\t\t\tno_change[t, Memory.flag[other]]\n\t\t}\n\t}\n}\n\nfact {\n\tall t: Time - first {\n\t\tstep[t]\n\t}\n}\nrun {\n\tsome t: Time {\n\t\tPC.proc[0].t = 3\n\t\tPC.proc[1].t = 3\n\t}\n} for 20 Time\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'Perterson.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"7c590f18fad924f5b583f3807a736fb483e43cbc","subject":"fix bug in comment","message":"fix bug in comment\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"Perterson.als","new_file":"Perterson.als","new_contents":"open util\/ordering[Time]\nsig Time {}\n\none sig Memory {\n\tturn: Int -> Time,\n\tflag: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t\tno flag[Int - 0 - 1].t\n\t}\n}\n\none sig PC {\n\tproc: Int -> Int -> Time,\n\tcurrent_pid: Int -> Time\n}{\n\tall t: Time {\n\t\tone proc[0].t\n\t\tone proc[1].t\n\t\tno proc[Int - 0 - 1].t\n\t}\n}\n\n\nfact {\n\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\tlet t = first {\n\t\tMemory.turn.t = 0\n\t\tMemory.flag[0].t = 0\n\t\tMemory.flag[1].t = 0\n\t\t\/\/ \u6700\u521d\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u30ab\u30a6\u30f3\u30bf\u306f0\n\t\tPC.proc[0].t = 0\n\t\tPC.proc[1].t = 0\n \t}\n}\n\npred store(t: Time, target: univ -> Time, value: univ){\n\tone value\n\ttarget.t = value\n}\n\npred must_wait(t: Time, pid: Int){\n\tlet other = (0 + 1) - pid {\n\t\tMemory.flag[other].t = 1 \/\/ other\u304cwait\u3057\u3066\u3044\u308b\n\t\tMemory.turn.t = other \/\/ other\u304c\u512a\u5148\u6a29\u3092\u6301\u3063\u3066\u3044\u308b\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t: Time) {\n\t\/\/ \u5404\u6642\u523b\u3067\u3069\u3061\u3089\u304b\u306e\u30d7\u30ed\u30bb\u30b9\u304c1\u547d\u4ee4\u5b9f\u884c\u3059\u308b\n\tsome pid: (0 + 1) {\n\t\tPC.current_pid.t = pid\n\t\tlet pc = PC.proc[pid].(t.prev),\n\t\t\t\tnextpc = PC.proc[pid].t,\n\t\t\t\tother = (0 + 1) - pid\n\t\t{\n\n\t\t\t(pc = 0) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.flag[pid], 1]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\t\t\t(pc = 1) => {\n\t\t\t\t\/\/ turn = 1\n\t\t\t\tstore[t, Memory.turn, other]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 2) => {\n\t\t\t\t\/\/ while( flag[1] && turn == 1 );\n\t\t\t\tmust_wait[t, pid] => {\n\t\t\t\t\tnextpc = pc\n\t\t\t\t}else{\n\t\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\t}\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 3) => {\n\t\t\t\t\/\/ flag[0] = 0\n\t\t\t\tstore[t, Memory.flag[pid], 0]\n\t\t\t\tnextpc = 0\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\n\t\t\t\/\/ no change\n\t\t\tno_change[t, PC.proc[other]]\n\t\t\tno_change[t, Memory.flag[other]]\n\t\t}\n\t}\n}\n\ncheck MutualExclusion {\n\tno t: Time {\n\t\tPC.proc[0].t = 3\n\t\tPC.proc[1].t = 3\n\t}\n} for 15 Time\n\ncheck BoundedWaiting_Bad {\n\tno t: Time, pid: Int {\n\t\tPC.proc[pid].t = 2\n\t\tPC.proc[pid].(t.next) = 2\n\t\tPC.proc[pid].(t.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next.next) = 2\n\t}\n} for 15 Time\n\ncheck BoundedWaiting {\n\tno t, t': Time, pid: Int {\n\t\tlet range = Time - t.prevs - t'.nexts {\n\t\t\t\/\/ \u3042\u308b\u30d7\u30ed\u30bb\u30b9\u304c\u305a\u3063\u30682(\u30ed\u30c3\u30af\u5f85\u3061)\u3067\n\t\t\tall t'': range | PC.proc[pid].t'' = 2\n\t\t\t\/\/ \u305d\u306e\u9593\u3001\u3082\u3046\u7247\u65b9\u306e\u30d7\u30ed\u30bb\u30b9\u304c2\u56de\u4ee5\u4e0a3(\u30af\u30ea\u30c6\u30a3\u30ab\u30eb\u30bb\u30af\u30b7\u30e7\u30f3)\u3092\u5b9f\u884c\n\t\t\t#{t'': range | \n\t\t\t\tPC.proc[PC.current_pid.t''].t'' = 3\n\t\t\t} >= 2\n\t\t}\n\t}\n} for 15 Time\n\nfact {\n\tall t: Time - first {\n\t\tstep[t]\n\t}\n}\nrun {\n} for exactly 20 Time\n","old_contents":"open util\/ordering[Time]\nsig Time {}\n\none sig Memory {\n\tturn: Int -> Time,\n\tflag: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t\tno flag[Int - 0 - 1].t\n\t}\n}\n\none sig PC {\n\tproc: Int -> Int -> Time,\n\tcurrent_pid: Int -> Time\n}{\n\tall t: Time {\n\t\tone proc[0].t\n\t\tone proc[1].t\n\t\tno proc[Int - 0 - 1].t\n\t}\n}\n\n\nfact {\n\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\tlet t = first {\n\t\tMemory.turn.t = 0\n\t\tMemory.flag[0].t = 0\n\t\tMemory.flag[1].t = 0\n\t\t\/\/ \u6700\u521d\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u30ab\u30a6\u30f3\u30bf\u306f0\n\t\tPC.proc[0].t = 0\n\t\tPC.proc[1].t = 0\n \t}\n}\n\npred store(t: Time, target: univ -> Time, value: univ){\n\tone value\n\ttarget.t = value\n}\n\npred must_wait(t: Time, pid: Int){\n\tlet other = (0 + 1) - pid {\n\t\tMemory.flag[other].t = 1 \/\/ other\u304cwait\u3057\u3066\u3044\u308b\n\t\tMemory.turn.t = other \/\/ other\u304c\u512a\u5148\u6a29\u3092\u6301\u3063\u3066\u3044\u308b\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t: Time) {\n\t\/\/ \u5404\u6642\u523b\u3067\u3069\u3061\u3089\u304b\u306e\u30d7\u30ed\u30bb\u30b9\u304c1\u547d\u4ee4\u5b9f\u884c\u3059\u308b\n\tsome pid: (0 + 1) {\n\t\tPC.current_pid.t = pid\n\t\tlet pc = PC.proc[pid].(t.prev),\n\t\t\t\tnextpc = PC.proc[pid].t,\n\t\t\t\tother = (0 + 1) - pid\n\t\t{\n\n\t\t\t(pc = 0) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.flag[pid], 1]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\t\t\t(pc = 1) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.turn, other]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 2) => {\n\t\t\t\t\/\/ while( flag[1] && turn == 1 );\n\t\t\t\tmust_wait[t, pid] => {\n\t\t\t\t\tnextpc = pc\n\t\t\t\t}else{\n\t\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\t}\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 3) => {\n\t\t\t\t\/\/ flag[0] = 0\n\t\t\t\tstore[t, Memory.flag[pid], 0]\n\t\t\t\tnextpc = 0\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\n\t\t\t\/\/ no change\n\t\t\tno_change[t, PC.proc[other]]\n\t\t\tno_change[t, Memory.flag[other]]\n\t\t}\n\t}\n}\n\ncheck MutualExclusion {\n\tno t: Time {\n\t\tPC.proc[0].t = 3\n\t\tPC.proc[1].t = 3\n\t}\n} for 15 Time\n\ncheck BoundedWaiting_Bad {\n\tno t: Time, pid: Int {\n\t\tPC.proc[pid].t = 2\n\t\tPC.proc[pid].(t.next) = 2\n\t\tPC.proc[pid].(t.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next.next) = 2\n\t}\n} for 15 Time\n\ncheck BoundedWaiting {\n\tno t, t': Time, pid: Int {\n\t\tlet range = Time - t.prevs - t'.nexts {\n\t\t\t\/\/ \u3042\u308b\u30d7\u30ed\u30bb\u30b9\u304c\u305a\u3063\u30682(\u30ed\u30c3\u30af\u5f85\u3061)\u3067\n\t\t\tall t'': range | PC.proc[pid].t'' = 2\n\t\t\t\/\/ \u305d\u306e\u9593\u3001\u3082\u3046\u7247\u65b9\u306e\u30d7\u30ed\u30bb\u30b9\u304c2\u56de\u4ee5\u4e0a3(\u30af\u30ea\u30c6\u30a3\u30ab\u30eb\u30bb\u30af\u30b7\u30e7\u30f3)\u3092\u5b9f\u884c\n\t\t\t#{t'': range | \n\t\t\t\tPC.proc[PC.current_pid.t''].t'' = 3\n\t\t\t} >= 2\n\t\t}\n\t}\n} for 15 Time\n\nfact {\n\tall t: Time - first {\n\t\tstep[t]\n\t}\n}\nrun {\n} for exactly 20 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"99aff05e5ad899029127740981d83b5d7c4b718c","subject":"Modified alloy model","message":"Modified alloy model\n","repos":"cattaneo-riccardo\/PowerEnjoy","old_file":"Alloy\/powerenjoy_model.als","new_file":"Alloy\/powerenjoy_model.als","new_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tint id>0\n\tbattery_level >= 0\n\tbattery_level <= 100\n}\n\nsig User {\n\tcredential: Credential,\n\tpassword: Password,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\nsig Password {}\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\texpired: Bool,\n\tride: lone Ride\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 100\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\tday: Int,\n\thour: Int,\n\tminute: Int\n} {\n\tday >= 0\n\tday =< 365\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {\n\tcenter: Location,\n\tradius: Int\n} {\n\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/\/ ----------- Functions ------------\n\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t - t' <= 1h\n\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t(t.day = t'.day\n\t\timplies (\n\t\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\t\t\tor\n\t\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t\telse (\n\t\t\t(t.day = add[t'.day, 1] and t.hour = 0 and t'.hour = 23 and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t)\n}\n\n\/\/ Returns true if t >= t'\n\npred comesAfterOrEqual[t, t': Time] {\n\tt.day = t'.day\n\timplies (\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n\t)\n\telse t.day >= t'.day\n}\n\n\/\/ Returns true if t == t'\n\npred areEqual[t, t': Time] {\n\tt.day = t'.day and t.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\n\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 5\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 5)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 5\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 5)\n}\n\n\/\/ Reservation r is open <=> r is expired and \"it has not a ride yet or its ride has no release_time\"\n\npred isOpen[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\n\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\n\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\n\nfact eachCredentialCorrespondToAUser {\n\tall c: Credential |\n\t\tsome u: User |\n\t\t\tu.credential = c\n}\n\nfact eachPasswordCorrespondToAUser {\n\tall p: Password |\n\t\tsome u: User |\n\t\t\tu.password = p\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tall pi: Payment_Info |\n\t\t some u: User |\n\t\t\tu.payment_info = pi\n}\n\n\/\/ Different users <=> different credentials\n\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\n\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce {\n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open.\n\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(not some res: Reservation |\n\t\t\tres.car = c and isOpen[res]\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\n\nfact carExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\n\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ If a reservation has a ride, then that ride has that reservation.\n\nfact ridesAndReservationRelation {\n\tall res: Reservation | (\n\t\tsome res.ride\n\t\timplies\n\t\tres = res.ride.reservation\n\t)\n\t\/*\n\t(all rid: Ride |\n\t\tsome res: Reservation |\n\t\t\trid.reservation = res and res.ride = rid)\n\t(all res, res': Reservation |\n\t\tres != res'\n\t\timplies\n\t\tres.ride != res'.ride)*\/\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\n\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isOpen[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n\/*\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff (\n\t\t\tsome res: Reservation | (\n\t\t\t\tres.car = c and res.expired = False and\n\t\t\t\tsome u: User | (\n\t\t\t\t\tres.user = u and\n\t\t\t\t\tisNear[u.location, c.location] and\n\t\t\t\t\t(no res.ride or no res.ride.release_time)\n\t\t\t\t)\n\t\t\t)\n\t\t)\n\t)\n*\/\n}\n\n\/\/ release_time is always after pickup_time\n\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\n\/\/ car unlocked => car not available\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Car = 2\n\t#Reservation = 3\n\tsome c: Car | c.unlocked = True\n\tsome c: Car | c.unlocked = False\n}\n\npred checkUnlocked {\n\t\n}\n\n\/\/run show for 8 Int\nrun show for 8 Int\n\/\/check currentTimeIsAlwaysAhead for 8 Int\n","old_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tint id>0\n\tbattery_level >= 0\n\tbattery_level <= 100\n}\n\nsig User {\n\tcredential: Credential,\n\tpassword: Password,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\nsig Password {}\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\texpired: Bool,\n\tride: lone Ride\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 100\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\tday: Int,\n\thour: Int,\n\tminute: Int\n} {\n\tday >= 0\n\tday =< 365\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {\n\tcenter: Location,\n\tradius: Int\n} {\n\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/\/ ----------- Functions ------------\n\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t - t' <= 1h\n\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t(t.day = t'.day\n\t\timplies (\n\t\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\t\t\tor\n\t\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t\telse (\n\t\t\t(t.day = add[t'.day, 1] and t.hour = 0 and t'.hour = 23 and add[sub[60, t'.minute], t.minute] < 60)\n\t\t)\n\t)\n}\n\n\/\/ Returns true if t >= t'\n\npred comesAfterOrEqual[t, t': Time] {\n\tt.day = t'.day\n\timplies (\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n\t)\n\telse t.day >= t'.day\n}\n\n\/\/ Returns true if t == t'\n\npred areEqual[t, t': Time] {\n\tt.day = t'.day and t.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\n\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 5\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 5)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 5\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 5)\n}\n\n\/\/ Reservation r is open <=> r is expired and \"it has not a ride yet or its ride has no release_time\"\n\npred isOpen[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\n\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\n\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\n\nfact eachCredentialCorrespondToAUser {\n\tall c: Credential |\n\t\tsome u: User |\n\t\t\tu.credential = c\n}\n\nfact eachPasswordCorrespondToAUser {\n\tall p: Password |\n\t\tsome u: User |\n\t\t\tu.password = p\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tall pi: Payment_Info |\n\t\t some u: User |\n\t\t\tu.payment_info = pi\n}\n\n\/\/ Different users <=> different credentials\n\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\n\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce {\n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open.\n\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(all res: Reservation |\n\t\t\tres.car = c\n\t\t\timplies\n\t\t\tisOpen[res]\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\n\nfact carExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\n\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ If a reservation has a ride, then that ride has that reservation.\n\nfact ridesAndReservationRelation {\n\tall res: Reservation | (\n\t\tsome res.ride\n\t\timplies\n\t\tres = res.ride.reservation\n\t)\n\t\/*\n\t(all rid: Ride |\n\t\tsome res: Reservation |\n\t\t\trid.reservation = res and res.ride = rid)\n\t(all res, res': Reservation |\n\t\tres != res'\n\t\timplies\n\t\tres.ride != res'.ride)*\/\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\n\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isOpen[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n\/*\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff (\n\t\t\tsome res: Reservation | (\n\t\t\t\tres.car = c and res.expired = False and\n\t\t\t\tsome u: User | (\n\t\t\t\t\tres.user = u and\n\t\t\t\t\tisNear[u.location, c.location] and\n\t\t\t\t\t(no res.ride or no res.ride.release_time)\n\t\t\t\t)\n\t\t\t)\n\t\t)\n\t)\n*\/\n}\n\n\/\/ release_time is always after pickup_time\n\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\n\/\/ car unlocked => car not available\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Car = 2\n\t#Reservation = 3\n\tsome c: Car | c.unlocked = True\n\tsome c: Car | c.unlocked = False\n}\n\npred checkUnlocked {\n\t\n}\n\n\/\/run show for 8 Int\nrun show for 8 Int\n\/\/check currentTimeIsAlwaysAhead for 8 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"af2ce59dc2d8c72a71c67ab77f1c6ffa551c2531","subject":"Add concept of non-transferable ballots, as this path through the code has not been covered.","message":"Add concept of non-transferable ballots, as this path through the code has not been covered.\n\nIncomplete - task : Coverage profiling of universal tests \n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t    (L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t    (L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < #transfers implies Election.method = STV\n    outcome = Winner and Election.method = STV implies\n       Scenario.quota + #surplus = #votes\n    outcome = Winner implies #transfers = 0\n    outcome = QuotaWinner implies surplus in transfers \n    outcome = QuotaWinner implies Scenario.quota + #surplus = #votes + #transfers\n     all b: Ballot | b in votes implies this in b.assignees\n    0 < #surplus implies (outcome = Winner or outcome = QuotaWinner)\n    (outcome = EarlyLoser or outcome = TiedEarlyLoser) iff \n\t\t(this in Scenario.eliminated and not (#votes + #transfers < Scenario.threshold))\n    \/\/ All non-sore losers are above the threshold\n    outcome = TiedLoser implies Scenario.threshold < #votes + #transfers\n    outcome = Loser implies Scenario.threshold < #votes + #transfers\n    outcome = EarlyLoser implies Scenario.threshold < #votes + #transfers\n    outcome = TiedEarlyLoser implies Scenario.threshold < #votes + #transfers\n    \/\/ Plurality outcomes\n    Election.method = Plurality implies\n\t\t(outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\toutcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \/\/ PR-STV Winner has at least a quota of first preference votes\n    (Election.method = STV and outcome = Winner) implies \n       Scenario.quota <= #votes\n    \/\/ Quota Winner has a least a quota of votes after transfers\n\toutcome = QuotaWinner implies\n\t   Scenario.quota <= #votes + #transfers\n    \/\/ Quota Winner does not have a quota of first preference votes\n\toutcome = QuotaWinner implies\n\t\tnot Scenario.quota <= #votes\n    \/\/ Compromise winners do not have a quota of votes\n\toutcome = CompromiseWinner  implies\n\t\tnot (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t(Election.method = STV and outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\toutcome = SoreLoser implies \n\t\t#votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\toutcome = TiedSoreLoser implies \n\t\t#votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t(outcome = QuotaWinner or (outcome = Winner and Election.method = STV)) \n       implies (#surplus = #votes + #transfers - Scenario.quota)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences <= 1\n    0 <= #preferences\n    \/\/ First preference\n    all c: Candidate | preferences.first = c iff this in c.votes\n    \/\/ Second and subsequent preferences\n    all disj donor,receiver: Candidate |\n\t\t(donor + receiver in assignees and\n\t\tthis in receiver.transfers and this in donor.surplus) implies \n\t\t(preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\treceiver in preferences.rest.elems)\n    \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\tall disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t(d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n    \/\/ Transfers to next continuing candidate\n\tall disj skipped, receiving: Candidate | \n\t\tpreferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\treceiving in assignees and (not skipped in assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt,\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n    fullQuota:\t\t\tInt\t\t\t\t\t-- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t(#l.votes + #l.transfers <= #w.votes + #w.transfers)\n    Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\teliminated in losers\n    \/\/ All PR-STV losers have less votes than the quota\n\tall c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  \tset Ballot,\t\t-- empty ballots excluded from count\n  nonTransferable: \tset Ballot,\t\t-- surplus ballots for which preferences are exhausted\n  size:\t\t\t\t\t\tInt \t\t\t\t-- number of ballots counted\n}\n{\n    size = #Ballot - #spoiltBallots\n\tall b: Ballot | b in spoiltBallots iff #b.preferences = 0\n    \/\/ All non-transferable ballots belong to an undistributed surplus\n    all b: Ballot | some c: Candidate | b in nonTransferable implies b in c.surplus\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t\t\tInt,\t\t\t-- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t\t-- full number of seats in this constituency\n  method: \t\t\t\t\tMethod\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 02\n  day = 18\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t    (L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t    (L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < #transfers implies Election.method = STV\n    outcome = Winner and Election.method = STV implies\n       Scenario.quota + #surplus = #votes\n    outcome = Winner implies #transfers = 0\n    outcome = QuotaWinner implies surplus in transfers \n    outcome = QuotaWinner implies Scenario.quota + #surplus = #votes + #transfers\n     all b: Ballot | b in votes implies this in b.assignees\n    0 < #surplus implies (outcome = Winner or outcome = QuotaWinner)\n    (outcome = EarlyLoser or outcome = TiedEarlyLoser) iff \n\t\t(this in Scenario.eliminated and not (#votes + #transfers < Scenario.threshold))\n    \/\/ All non-sore losers are above the threshold\n    outcome = TiedLoser implies Scenario.threshold < #votes + #transfers\n    outcome = Loser implies Scenario.threshold < #votes + #transfers\n    outcome = EarlyLoser implies Scenario.threshold < #votes + #transfers\n    outcome = TiedEarlyLoser implies Scenario.threshold < #votes + #transfers\n    \/\/ Plurality outcomes\n    Election.method = Plurality implies\n\t\t(outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\toutcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \/\/ PR-STV Winner has at least a quota of first preference votes\n    (Election.method = STV and outcome = Winner) implies \n       Scenario.quota <= #votes\n    \/\/ Quota Winner has a least a quota of votes after transfers\n\toutcome = QuotaWinner implies\n\t   Scenario.quota <= #votes + #transfers\n    \/\/ Quota Winner does not have a quota of first preference votes\n\toutcome = QuotaWinner implies\n\t\tnot Scenario.quota <= #votes\n    \/\/ Compromise winners do not have a quota of votes\n\toutcome = CompromiseWinner  implies\n\t\tnot (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t(Election.method = STV and outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\toutcome = SoreLoser implies \n\t\t#votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\toutcome = TiedSoreLoser implies \n\t\t#votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t(outcome = QuotaWinner or (outcome = Winner and Election.method = STV)) \n       implies (#surplus = #votes + #transfers - Scenario.quota)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences <= 1\n    0 <= #preferences\n    \/\/ First preference\n    all c: Candidate | preferences.first = c iff this in c.votes\n    \/\/ Second and subsequent preferences\n    all disj donor,receiver: Candidate |\n\t\t(donor + receiver in assignees and\n\t\tthis in receiver.transfers and this in donor.surplus) implies \n\t\t(preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\treceiver in preferences.rest.elems)\n    \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\tall disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t(d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n    \/\/ Transfers to next continuing candidate\n\tall disj skipped, receiving: Candidate | \n\t\tpreferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\treceiving in assignees and (not skipped in assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt,\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n    fullQuota:\t\t\tInt\t\t\t\t\t-- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t(#l.votes + #l.transfers <= #w.votes + #w.transfers)\n    Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\teliminated in losers\n    \/\/ All PR-STV losers have less votes than the quota\n\tall c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\tset Ballot,\t\t-- empty ballots excluded from count\n  size:\t\t\t\tInt \t\t\t\t-- number of ballots counted\n}\n{\n    size = #Ballot - #spoiltBallots\n\tall b: Ballot | b in spoiltBallots iff #b.preferences = 0\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t\t\tInt,\t\t\t-- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t\t-- full number of seats in this constituency\n  method: \t\t\t\t\tMethod\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 02\n  day = 14\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"fd0dc16b2b44ace989dffdac23df037afac6d085","subject":"more experimental results from ee-benjamin","message":"more experimental results from ee-benjamin\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_txn_strengthening.als","new_file":"mappings\/c11_txn_strengthening.als","new_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\n\nmodule c11_txn_strengthening[E]\n\npred apply_map[X,X':Exec_C] { \n\n  X.EV = X'.EV\n  \n  X.R = X'.R\n  X.W = X'.W\n  X.F = X'.F\n \n  X.sb = X'.sb\n  X.cd = X'.cd\n  X.ad = X'.ad\n  X.dd = X'.dd\n  X.rf = X'.rf\n  X.co = X'.co\n  X.sloc = X'.sloc\n  X.sthd = X'.sthd\n  X.atom = X'.atom\n\n  X.A = X'.A\n  X.ACQ = X'.ACQ\n  X.REL = X'.REL\n  X.SC = X'.SC\n  X.NAL = X'.NAL\n    \n  X.stxn in X'.stxn\n\n}\n\npred p[X,X':Exec_C] {\n  withoutinit[X]\n  withoutinit[X']\n\n  not (M\/consistent[none->none, X])\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X']\n\n  X.EV = E\n}\n\nrun p for 2 Exec, 6 E \/\/ none found in 60310s on benjamin (=17 hours)\n","old_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\n\nmodule c11_txn_strengthening[E]\n\npred apply_map[X,X':Exec_C] { \n\n  X.EV = X'.EV\n  \n  X.R = X'.R\n  X.W = X'.W\n  X.F = X'.F\n \n  X.sb = X'.sb\n  X.cd = X'.cd\n  X.ad = X'.ad\n  X.dd = X'.dd\n  X.rf = X'.rf\n  X.co = X'.co\n  X.sloc = X'.sloc\n  X.sthd = X'.sthd\n  X.atom = X'.atom\n\n  X.A = X'.A\n  X.ACQ = X'.ACQ\n  X.REL = X'.REL\n  X.SC = X'.SC\n  X.NAL = X'.NAL\n    \n  X.stxn in X'.stxn\n\n}\n\npred p[X,X':Exec_C] {\n  withoutinit[X]\n  withoutinit[X']\n\n  not (M\/consistent[none->none, X])\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X']\n\n  X.EV = E\n}\n\nrun p for 2 Exec, 6 E \/\/ started on benjamin at 1228 on fri 3 nov\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"90efe81d660c504f16c2769ac870cb89c0cb80ac","subject":"add first version (not work)","message":"add first version (not work)\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustlogic_not_work.als","new_file":"illust_logic\/illustlogic_not_work.als","new_contents":"\/\/ Illust Logic\nabstract sig Cell {\n  color: Color,\n  hnext: lone Cell,\n  vnext: lone Cell\n}\n\nenum Color {Black, White}\n\nfun range(start, end : Cell, r: Cell -> Cell): Cell{\n  (start + start.^r) & (end.^(~r) + end)\n}\n\npred all_black(cells : Cell, size: Int){\n  #cells = size\n  all c: cells{\n    c.color = Black\n  }\n}\n\npred all_white(cells : Cell){\n  all c: cells{\n    c.color = White\n  }\n}\n\nfun from(start: Cell, next: Cell -> Cell): Cell{\n  start + start.^next\n}\n\none sig Cell_0_0 extends Cell {}\none sig Cell_0_1 extends Cell {}\none sig Cell_0_2 extends Cell {}\none sig Cell_0_3 extends Cell {}\none sig Cell_0_4 extends Cell {}\none sig Cell_0_5 extends Cell {}\none sig Cell_0_6 extends Cell {}\none sig Cell_0_7 extends Cell {}\none sig Cell_0_8 extends Cell {}\none sig Cell_0_9 extends Cell {}\none sig Cell_1_0 extends Cell {}\none sig Cell_1_1 extends Cell {}\none sig Cell_1_2 extends Cell {}\none sig Cell_1_3 extends Cell {}\none sig Cell_1_4 extends Cell {}\none sig Cell_1_5 extends Cell {}\none sig Cell_1_6 extends Cell {}\none sig Cell_1_7 extends Cell {}\none sig Cell_1_8 extends Cell {}\none sig Cell_1_9 extends Cell {}\none sig Cell_2_0 extends Cell {}\none sig Cell_2_1 extends Cell {}\none sig Cell_2_2 extends Cell {}\none sig Cell_2_3 extends Cell {}\none sig Cell_2_4 extends Cell {}\none sig Cell_2_5 extends Cell {}\none sig Cell_2_6 extends Cell {}\none sig Cell_2_7 extends Cell {}\none sig Cell_2_8 extends Cell {}\none sig Cell_2_9 extends Cell {}\none sig Cell_3_0 extends Cell {}\none sig Cell_3_1 extends Cell {}\none sig Cell_3_2 extends Cell {}\none sig Cell_3_3 extends Cell {}\none sig Cell_3_4 extends Cell {}\none sig Cell_3_5 extends Cell {}\none sig Cell_3_6 extends Cell {}\none sig Cell_3_7 extends Cell {}\none sig Cell_3_8 extends Cell {}\none sig Cell_3_9 extends Cell {}\none sig Cell_4_0 extends Cell {}\none sig Cell_4_1 extends Cell {}\none sig Cell_4_2 extends Cell {}\none sig Cell_4_3 extends Cell {}\none sig Cell_4_4 extends Cell {}\none sig Cell_4_5 extends Cell {}\none sig Cell_4_6 extends Cell {}\none sig Cell_4_7 extends Cell {}\none sig Cell_4_8 extends Cell {}\none sig Cell_4_9 extends Cell {}\none sig Cell_5_0 extends Cell {}\none sig Cell_5_1 extends Cell {}\none sig Cell_5_2 extends Cell {}\none sig Cell_5_3 extends Cell {}\none sig Cell_5_4 extends Cell {}\none sig Cell_5_5 extends Cell {}\none sig Cell_5_6 extends Cell {}\none sig Cell_5_7 extends Cell {}\none sig Cell_5_8 extends Cell {}\none sig Cell_5_9 extends Cell {}\none sig Cell_6_0 extends Cell {}\none sig Cell_6_1 extends Cell {}\none sig Cell_6_2 extends Cell {}\none sig Cell_6_3 extends Cell {}\none sig Cell_6_4 extends Cell {}\none sig Cell_6_5 extends Cell {}\none sig Cell_6_6 extends Cell {}\none sig Cell_6_7 extends Cell {}\none sig Cell_6_8 extends Cell {}\none sig Cell_6_9 extends Cell {}\none sig Cell_7_0 extends Cell {}\none sig Cell_7_1 extends Cell {}\none sig Cell_7_2 extends Cell {}\none sig Cell_7_3 extends Cell {}\none sig Cell_7_4 extends Cell {}\none sig Cell_7_5 extends Cell {}\none sig Cell_7_6 extends Cell {}\none sig Cell_7_7 extends Cell {}\none sig Cell_7_8 extends Cell {}\none sig Cell_7_9 extends Cell {}\none sig Cell_8_0 extends Cell {}\none sig Cell_8_1 extends Cell {}\none sig Cell_8_2 extends Cell {}\none sig Cell_8_3 extends Cell {}\none sig Cell_8_4 extends Cell {}\none sig Cell_8_5 extends Cell {}\none sig Cell_8_6 extends Cell {}\none sig Cell_8_7 extends Cell {}\none sig Cell_8_8 extends Cell {}\none sig Cell_8_9 extends Cell {}\none sig Cell_9_0 extends Cell {}\none sig Cell_9_1 extends Cell {}\none sig Cell_9_2 extends Cell {}\none sig Cell_9_3 extends Cell {}\none sig Cell_9_4 extends Cell {}\none sig Cell_9_5 extends Cell {}\none sig Cell_9_6 extends Cell {}\none sig Cell_9_7 extends Cell {}\none sig Cell_9_8 extends Cell {}\none sig Cell_9_9 extends Cell {}\nfact matrix_adj {\n  Cell_0_0.vnext = Cell_0_1\n  Cell_0_1.vnext = Cell_0_2\n  Cell_0_2.vnext = Cell_0_3\n  Cell_0_3.vnext = Cell_0_4\n  Cell_0_4.vnext = Cell_0_5\n  Cell_0_5.vnext = Cell_0_6\n  Cell_0_6.vnext = Cell_0_7\n  Cell_0_7.vnext = Cell_0_8\n  Cell_0_8.vnext = Cell_0_9\n  no Cell_0_9.vnext\n  Cell_1_0.vnext = Cell_1_1\n  Cell_1_1.vnext = Cell_1_2\n  Cell_1_2.vnext = Cell_1_3\n  Cell_1_3.vnext = Cell_1_4\n  Cell_1_4.vnext = Cell_1_5\n  Cell_1_5.vnext = Cell_1_6\n  Cell_1_6.vnext = Cell_1_7\n  Cell_1_7.vnext = Cell_1_8\n  Cell_1_8.vnext = Cell_1_9\n  no Cell_1_9.vnext\n  Cell_2_0.vnext = Cell_2_1\n  Cell_2_1.vnext = Cell_2_2\n  Cell_2_2.vnext = Cell_2_3\n  Cell_2_3.vnext = Cell_2_4\n  Cell_2_4.vnext = Cell_2_5\n  Cell_2_5.vnext = Cell_2_6\n  Cell_2_6.vnext = Cell_2_7\n  Cell_2_7.vnext = Cell_2_8\n  Cell_2_8.vnext = Cell_2_9\n  no Cell_2_9.vnext\n  Cell_3_0.vnext = Cell_3_1\n  Cell_3_1.vnext = Cell_3_2\n  Cell_3_2.vnext = Cell_3_3\n  Cell_3_3.vnext = Cell_3_4\n  Cell_3_4.vnext = Cell_3_5\n  Cell_3_5.vnext = Cell_3_6\n  Cell_3_6.vnext = Cell_3_7\n  Cell_3_7.vnext = Cell_3_8\n  Cell_3_8.vnext = Cell_3_9\n  no Cell_3_9.vnext\n  Cell_4_0.vnext = Cell_4_1\n  Cell_4_1.vnext = Cell_4_2\n  Cell_4_2.vnext = Cell_4_3\n  Cell_4_3.vnext = Cell_4_4\n  Cell_4_4.vnext = Cell_4_5\n  Cell_4_5.vnext = Cell_4_6\n  Cell_4_6.vnext = Cell_4_7\n  Cell_4_7.vnext = Cell_4_8\n  Cell_4_8.vnext = Cell_4_9\n  no Cell_4_9.vnext\n  Cell_5_0.vnext = Cell_5_1\n  Cell_5_1.vnext = Cell_5_2\n  Cell_5_2.vnext = Cell_5_3\n  Cell_5_3.vnext = Cell_5_4\n  Cell_5_4.vnext = Cell_5_5\n  Cell_5_5.vnext = Cell_5_6\n  Cell_5_6.vnext = Cell_5_7\n  Cell_5_7.vnext = Cell_5_8\n  Cell_5_8.vnext = Cell_5_9\n  no Cell_5_9.vnext\n  Cell_6_0.vnext = Cell_6_1\n  Cell_6_1.vnext = Cell_6_2\n  Cell_6_2.vnext = Cell_6_3\n  Cell_6_3.vnext = Cell_6_4\n  Cell_6_4.vnext = Cell_6_5\n  Cell_6_5.vnext = Cell_6_6\n  Cell_6_6.vnext = Cell_6_7\n  Cell_6_7.vnext = Cell_6_8\n  Cell_6_8.vnext = Cell_6_9\n  no Cell_6_9.vnext\n  Cell_7_0.vnext = Cell_7_1\n  Cell_7_1.vnext = Cell_7_2\n  Cell_7_2.vnext = Cell_7_3\n  Cell_7_3.vnext = Cell_7_4\n  Cell_7_4.vnext = Cell_7_5\n  Cell_7_5.vnext = Cell_7_6\n  Cell_7_6.vnext = Cell_7_7\n  Cell_7_7.vnext = Cell_7_8\n  Cell_7_8.vnext = Cell_7_9\n  no Cell_7_9.vnext\n  Cell_8_0.vnext = Cell_8_1\n  Cell_8_1.vnext = Cell_8_2\n  Cell_8_2.vnext = Cell_8_3\n  Cell_8_3.vnext = Cell_8_4\n  Cell_8_4.vnext = Cell_8_5\n  Cell_8_5.vnext = Cell_8_6\n  Cell_8_6.vnext = Cell_8_7\n  Cell_8_7.vnext = Cell_8_8\n  Cell_8_8.vnext = Cell_8_9\n  no Cell_8_9.vnext\n  Cell_9_0.vnext = Cell_9_1\n  Cell_9_1.vnext = Cell_9_2\n  Cell_9_2.vnext = Cell_9_3\n  Cell_9_3.vnext = Cell_9_4\n  Cell_9_4.vnext = Cell_9_5\n  Cell_9_5.vnext = Cell_9_6\n  Cell_9_6.vnext = Cell_9_7\n  Cell_9_7.vnext = Cell_9_8\n  Cell_9_8.vnext = Cell_9_9\n  no Cell_9_9.vnext\n  Cell_0_0.hnext = Cell_1_0\n  Cell_1_0.hnext = Cell_2_0\n  Cell_2_0.hnext = Cell_3_0\n  Cell_3_0.hnext = Cell_4_0\n  Cell_4_0.hnext = Cell_5_0\n  Cell_5_0.hnext = Cell_6_0\n  Cell_6_0.hnext = Cell_7_0\n  Cell_7_0.hnext = Cell_8_0\n  Cell_8_0.hnext = Cell_9_0\n  no Cell_9_0.hnext\n  Cell_0_1.hnext = Cell_1_1\n  Cell_1_1.hnext = Cell_2_1\n  Cell_2_1.hnext = Cell_3_1\n  Cell_3_1.hnext = Cell_4_1\n  Cell_4_1.hnext = Cell_5_1\n  Cell_5_1.hnext = Cell_6_1\n  Cell_6_1.hnext = Cell_7_1\n  Cell_7_1.hnext = Cell_8_1\n  Cell_8_1.hnext = Cell_9_1\n  no Cell_9_1.hnext\n  Cell_0_2.hnext = Cell_1_2\n  Cell_1_2.hnext = Cell_2_2\n  Cell_2_2.hnext = Cell_3_2\n  Cell_3_2.hnext = Cell_4_2\n  Cell_4_2.hnext = Cell_5_2\n  Cell_5_2.hnext = Cell_6_2\n  Cell_6_2.hnext = Cell_7_2\n  Cell_7_2.hnext = Cell_8_2\n  Cell_8_2.hnext = Cell_9_2\n  no Cell_9_2.hnext\n  Cell_0_3.hnext = Cell_1_3\n  Cell_1_3.hnext = Cell_2_3\n  Cell_2_3.hnext = Cell_3_3\n  Cell_3_3.hnext = Cell_4_3\n  Cell_4_3.hnext = Cell_5_3\n  Cell_5_3.hnext = Cell_6_3\n  Cell_6_3.hnext = Cell_7_3\n  Cell_7_3.hnext = Cell_8_3\n  Cell_8_3.hnext = Cell_9_3\n  no Cell_9_3.hnext\n  Cell_0_4.hnext = Cell_1_4\n  Cell_1_4.hnext = Cell_2_4\n  Cell_2_4.hnext = Cell_3_4\n  Cell_3_4.hnext = Cell_4_4\n  Cell_4_4.hnext = Cell_5_4\n  Cell_5_4.hnext = Cell_6_4\n  Cell_6_4.hnext = Cell_7_4\n  Cell_7_4.hnext = Cell_8_4\n  Cell_8_4.hnext = Cell_9_4\n  no Cell_9_4.hnext\n  Cell_0_5.hnext = Cell_1_5\n  Cell_1_5.hnext = Cell_2_5\n  Cell_2_5.hnext = Cell_3_5\n  Cell_3_5.hnext = Cell_4_5\n  Cell_4_5.hnext = Cell_5_5\n  Cell_5_5.hnext = Cell_6_5\n  Cell_6_5.hnext = Cell_7_5\n  Cell_7_5.hnext = Cell_8_5\n  Cell_8_5.hnext = Cell_9_5\n  no Cell_9_5.hnext\n  Cell_0_6.hnext = Cell_1_6\n  Cell_1_6.hnext = Cell_2_6\n  Cell_2_6.hnext = Cell_3_6\n  Cell_3_6.hnext = Cell_4_6\n  Cell_4_6.hnext = Cell_5_6\n  Cell_5_6.hnext = Cell_6_6\n  Cell_6_6.hnext = Cell_7_6\n  Cell_7_6.hnext = Cell_8_6\n  Cell_8_6.hnext = Cell_9_6\n  no Cell_9_6.hnext\n  Cell_0_7.hnext = Cell_1_7\n  Cell_1_7.hnext = Cell_2_7\n  Cell_2_7.hnext = Cell_3_7\n  Cell_3_7.hnext = Cell_4_7\n  Cell_4_7.hnext = Cell_5_7\n  Cell_5_7.hnext = Cell_6_7\n  Cell_6_7.hnext = Cell_7_7\n  Cell_7_7.hnext = Cell_8_7\n  Cell_8_7.hnext = Cell_9_7\n  no Cell_9_7.hnext\n  Cell_0_8.hnext = Cell_1_8\n  Cell_1_8.hnext = Cell_2_8\n  Cell_2_8.hnext = Cell_3_8\n  Cell_3_8.hnext = Cell_4_8\n  Cell_4_8.hnext = Cell_5_8\n  Cell_5_8.hnext = Cell_6_8\n  Cell_6_8.hnext = Cell_7_8\n  Cell_7_8.hnext = Cell_8_8\n  Cell_8_8.hnext = Cell_9_8\n  no Cell_9_8.hnext\n  Cell_0_9.hnext = Cell_1_9\n  Cell_1_9.hnext = Cell_2_9\n  Cell_2_9.hnext = Cell_3_9\n  Cell_3_9.hnext = Cell_4_9\n  Cell_4_9.hnext = Cell_5_9\n  Cell_5_9.hnext = Cell_6_9\n  Cell_6_9.hnext = Cell_7_9\n  Cell_7_9.hnext = Cell_8_9\n  Cell_8_9.hnext = Cell_9_9\n  no Cell_9_9.hnext\n}\nfact {\n  let next = hnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_1, next] {\n      all_white[range[from[Cell_0_1, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 2]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_2, next] {\n      all_white[range[from[Cell_0_2, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 1]\n            some c1: c2.next.^next {\n              all_white[range[c2.next.^next, c1.~next, next]]\n              some c2: c1.^next {\n                all_black[range[c1, c2, next], 1]\n                all_white[c2.^next]\n              }\n            }\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_3, next] {\n      all_white[range[from[Cell_0_3, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 3]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_4, next] {\n      all_white[range[from[Cell_0_4, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_5, next] {\n      all_white[range[from[Cell_0_5, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_6, next] {\n      all_white[range[from[Cell_0_6, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_7, next] {\n      all_white[range[from[Cell_0_7, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_8, next] {\n      all_white[range[from[Cell_0_8, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_9, next] {\n      all_white[range[from[Cell_0_9, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n  }\n  let next = vnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 4]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_1_0, next] {\n      all_white[range[from[Cell_1_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 6]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_2_0, next] {\n      all_white[range[from[Cell_2_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_3_0, next] {\n      all_white[range[from[Cell_3_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 9]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_4_0, next] {\n      all_white[range[from[Cell_4_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 7]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_5_0, next] {\n      all_white[range[from[Cell_5_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 6]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_6_0, next] {\n      all_white[range[from[Cell_6_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 4]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_7_0, next] {\n      all_white[range[from[Cell_7_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_8_0, next] {\n      all_white[range[from[Cell_8_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_9_0, next] {\n      all_white[range[from[Cell_9_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        all_white[c2.^next]\n      }\n    }\n  }\n}\nrun{} for 1 but 5 int\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'illust_logic\/illustlogic_not_work.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"55acd93d179d93478ac5d555680fba9179979ad9","subject":"add correct assertion","message":"add correct assertion\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"Perterson.als","new_file":"Perterson.als","new_contents":"open util\/ordering[Time]\nsig Time {}\n\none sig Memory {\n\tturn: Int -> Time,\n\tflag: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t\tno flag[Int - 0 - 1].t\n\t}\n}\n\none sig PC {\n\tproc: Int -> Int -> Time,\n\tcurrent_pid: Int -> Time\n}{\n\tall t: Time {\n\t\tone proc[0].t\n\t\tone proc[1].t\n\t\tno proc[Int - 0 - 1].t\n\t}\n}\n\n\nfact {\n\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\tlet t = first {\n\t\tMemory.turn.t = 0\n\t\tMemory.flag[0].t = 0\n\t\tMemory.flag[1].t = 0\n\t\t\/\/ \u6700\u521d\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u30ab\u30a6\u30f3\u30bf\u306f0\n\t\tPC.proc[0].t = 0\n\t\tPC.proc[1].t = 0\n \t}\n}\n\npred store(t: Time, target: univ -> Time, value: univ){\n\tone value\n\ttarget.t = value\n}\n\npred must_wait(t: Time, pid: Int){\n\tlet other = (0 + 1) - pid {\n\t\tMemory.flag[other].t = 1 \/\/ other\u304cwait\u3057\u3066\u3044\u308b\n\t\tMemory.turn.t = other \/\/ other\u304c\u512a\u5148\u6a29\u3092\u6301\u3063\u3066\u3044\u308b\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t: Time) {\n\t\/\/ \u5404\u6642\u523b\u3067\u3069\u3061\u3089\u304b\u306e\u30d7\u30ed\u30bb\u30b9\u304c1\u547d\u4ee4\u5b9f\u884c\u3059\u308b\n\tsome pid: (0 + 1) {\n\t\tPC.current_pid.t = pid\n\t\tlet pc = PC.proc[pid].(t.prev),\n\t\t\t\tnextpc = PC.proc[pid].t,\n\t\t\t\tother = (0 + 1) - pid\n\t\t{\n\n\t\t\t(pc = 0) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.flag[pid], 1]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\t\t\t(pc = 1) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.turn, other]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 2) => {\n\t\t\t\t\/\/ while( flag[1] && turn == 1 );\n\t\t\t\tmust_wait[t, pid] => {\n\t\t\t\t\tnextpc = pc\n\t\t\t\t}else{\n\t\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\t}\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 3) => {\n\t\t\t\t\/\/ flag[0] = 0\n\t\t\t\tstore[t, Memory.flag[pid], 0]\n\t\t\t\tnextpc = 0\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\n\t\t\t\/\/ no change\n\t\t\tno_change[t, PC.proc[other]]\n\t\t\tno_change[t, Memory.flag[other]]\n\t\t}\n\t}\n}\n\ncheck MutualExclusion {\n\tno t: Time {\n\t\tPC.proc[0].t = 3\n\t\tPC.proc[1].t = 3\n\t}\n} for 15 Time\n\ncheck BoundedWaiting_Bad {\n\tno t: Time, pid: Int {\n\t\tPC.proc[pid].t = 2\n\t\tPC.proc[pid].(t.next) = 2\n\t\tPC.proc[pid].(t.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next.next) = 2\n\t}\n} for 15 Time\n\ncheck BoundedWaiting {\n\tno t, t': Time, pid: Int {\n\t\tlet range = Time - t.prevs - t'.nexts {\n\t\t\t\/\/ \u3042\u308b\u30d7\u30ed\u30bb\u30b9\u304c\u305a\u3063\u30682(\u30ed\u30c3\u30af\u5f85\u3061)\u3067\n\t\t\tall t'': range | PC.proc[pid].t'' = 2\n\t\t\t\/\/ \u305d\u306e\u9593\u3001\u3082\u3046\u7247\u65b9\u306e\u30d7\u30ed\u30bb\u30b9\u304c2\u56de\u4ee5\u4e0a3(\u30af\u30ea\u30c6\u30a3\u30ab\u30eb\u30bb\u30af\u30b7\u30e7\u30f3)\u3092\u5b9f\u884c\n\t\t\t#{t'': range | \n\t\t\t\tPC.proc[PC.current_pid.t''].t'' = 3\n\t\t\t} >= 2\n\t\t}\n\t}\n} for 15 Time\n\nfact {\n\tall t: Time - first {\n\t\tstep[t]\n\t}\n}\nrun {\n} for exactly 20 Time\n","old_contents":"open util\/ordering[Time]\nsig Time {}\n\none sig Memory {\n\tturn: Int -> Time,\n\tflag: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t\tno flag[Int - 0 - 1].t\n\t}\n}\n\none sig PC {\n\tproc: Int -> Int -> Time\n}{\n\tall t: Time {\n\t\tone proc[0].t\n\t\tone proc[1].t\n\t\tno proc[Int - 0 - 1].t\n\t}\n}\n\n\nfact {\n\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\tlet t = first {\n\t\tMemory.turn.t = 0\n\t\tMemory.flag[0].t = 0\n\t\tMemory.flag[1].t = 0\n\t\t\/\/ \u6700\u521d\u306f\u30d7\u30ed\u30b0\u30e9\u30e0\u30ab\u30a6\u30f3\u30bf\u306f0\n\t\tPC.proc[0].t = 0\n\t\tPC.proc[1].t = 0\n \t}\n}\n\npred store(t: Time, target: univ -> Time, value: univ){\n\tone value\n\ttarget.t = value\n}\n\npred must_wait(t: Time, pid: Int){\n\tlet other = (0 + 1) - pid {\n\t\tMemory.flag[other].t = 1 \/\/ other\u304cwait\u3057\u3066\u3044\u308b\n\t\tMemory.turn.t = other \/\/ other\u304c\u512a\u5148\u6a29\u3092\u6301\u3063\u3066\u3044\u308b\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t: Time) {\n\t\/\/ \u5404\u6642\u523b\u3067\u3069\u3061\u3089\u304b\u306e\u30d7\u30ed\u30bb\u30b9\u304c1\u547d\u4ee4\u5b9f\u884c\u3059\u308b\n\tsome pid: (0 + 1) {\n\t\tlet pc = PC.proc[pid].(t.prev),\n\t\t\t\tnextpc = PC.proc[pid].t,\n\t\t\t\tother = (0 + 1) - pid\n\t\t{\n\n\t\t\t(pc = 0) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.flag[pid], 1]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\t\t\t(pc = 1) => {\n\t\t\t\t\/\/ flag[0] = 1\n\t\t\t\tstore[t, Memory.turn, other]\n\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 2) => {\n\t\t\t\t\/\/ while( flag[1] && turn == 1 );\n\t\t\t\tmust_wait[t, pid] => {\n\t\t\t\t\tnextpc = pc\n\t\t\t\t}else{\n\t\t\t\t\tnextpc = plus[pc, 1]\n\t\t\t\t}\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t\tno_change[t, Memory.flag[pid]]\n\t\t\t}\n\t\t\t(pc = 3) => {\n\t\t\t\t\/\/ flag[0] = 0\n\t\t\t\tstore[t, Memory.flag[pid], 0]\n\t\t\t\tnextpc = 0\n\t\t\t\tno_change[t, Memory.turn]\n\t\t\t}\n\n\t\t\t\/\/ no change\n\t\t\tno_change[t, PC.proc[other]]\n\t\t\tno_change[t, Memory.flag[other]]\n\t\t}\n\t}\n}\n\ncheck MutualExclusion {\n\tno t: Time {\n\t\tPC.proc[0].t = 3\n\t\tPC.proc[1].t = 3\n\t}\n} for 25 Time\n\ncheck BoundedWaiting {\n\tno t: Time, pid: Int {\n\t\tPC.proc[pid].t = 2\n\t\tPC.proc[pid].(t.next) = 2\n\t\tPC.proc[pid].(t.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next) = 2\n\t\tPC.proc[pid].(t.next.next.next.next) = 2\n\t}\n} for 7 Time\n\nfact {\n\tall t: Time - first {\n\t\tstep[t]\n\t}\n}\nrun {\n} for exactly 20 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"4df285cd0392a29646b7003a742702e9b053c033","subject":"Minor changes","message":"Minor changes","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Improved_FeatureModel\/feature_model_2.als","new_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Improved_FeatureModel\/feature_model_2.als","new_contents":"\/** Takes a user defined signature and defines the relations according to it. *\/\nmodule feature_model_2[Feature]\n\nopen util\/relation\n\none sig Root in Feature {}\n\nabstract sig FeatureModel {\n\tmandatory: Feature -> Feature,\n\toptional: Feature -> Feature,\n\talternative: Feature -> Feature,\n \t_or: Feature -> Feature,\n\n\trequires: Feature -> Feature,\n\texcludes: Feature -> Feature\n}\n\n\/** EmptyFeatureModel is the model that has no relations, GivenFeatureModel is the model that user defines *\/\none sig EmptyFeatureModel, GivenFeatureModel extends FeatureModel {}\n\nfact {\n\tfunc_definitions[GivenFeatureModel]\n\tNoRelations[EmptyFeatureModel]\n\tRoot.*(FeatureModel.(mandatory + optional + alternative + _or ) )= Feature \/\/ Any feature, connected to this model, must be reachable from the root.\n}\n\nprivate pred func_definitions[m: FeatureModel] {\n\tno m.mandatory & m.optional\n\tno m.mandatory & m.alternative\n\tno m.mandatory & m._or\n\tno m.mandatory & m.requires\n\tno m.mandatory & m.excludes\n\n\tno m.optional & m.alternative\n\tno m.optional & m._or\n\tno m.optional & m.requires\n\tno m.optional & m.excludes\n\n\tno m.alternative & m._or\n\tno m.alternative & m.requires\n\tno m.alternative & m.excludes\n\n\tno m._or & m.requires\n\tno m._or& m.excludes\n\n\tno m.requires & m.excludes\n\n\tno m.mandatory & ~(m.optional)\n\tno m.mandatory & ~(m.alternative)\n\tno m.mandatory & ~(m._or)\n\tno m.mandatory & ~(m.requires)\n\tno m.mandatory & ~(m.excludes)\n\n\tno m.optional & ~(m.alternative)\n\tno m.optional & ~(m._or)\n\tno m.optional & ~(m.requires)\n\tno m.optional & ~(m.excludes)\n\n\tno m.alternative & ~(m._or)\n\tno m.alternative & ~(m.requires)\n\tno m.alternative & ~(m.excludes)\n\n\tno m._or & ~(m.requires)\n\tno m._or & ~(m.excludes)\n\n\tno m.requires & ~(m.excludes)\n\n\tirreflexive[m.mandatory]\n\tirreflexive[m.optional]\n\tirreflexive[m.alternative]\n\tirreflexive[m._or]\n\tirreflexive[m.requires]\n\tirreflexive[m.excludes]\n\tantisymmetric[m.mandatory]\n\tantisymmetric[m.optional]\n\tantisymmetric[m.alternative]\n\tantisymmetric[m._or]\n\tantisymmetric[m.requires]\n}\n\n\/** Possible Extensions for Configuration *\/\n\n\/\/ There are instances that includes features.\nsig Instance {\n\tincludes: set Feature\n}\n\n\/\/ All configurations are unique\nfact all_instances_unique {\n--\tall disj i, i': Instance | i.includes != i'.includes\n\tall i, i': Instance | i !=i' implies i.includes != i'.includes\n}\n\nfact configuration_rules {\n\tall i: Instance {\n\t\tRoot in i.includes\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** root *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.optional) | f2 in i.includes => f1 in i.includes \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** optional *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.mandatory) | f2 in i.includes <=> f1 in i.includes \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** mandatory *\/\n\t\tall f1: Feature | f1 in i.includes and some f1.(FeatureModel._or) <=> some f1.(FeatureModel._or) & i.includes \t\t\t\t\t\t\t\t\/** or *\/\n\t\tall f1: Feature | f1 in i.includes and some f1.(FeatureModel.alternative) <=> some f1.(FeatureModel.alternative) & i.includes\t\t\t\/** alternative (1) *\/\n\t\tall f1: i.includes, f2: f1.(FeatureModel.alternative), f3: f1.(FeatureModel.alternative) - f2 | !(f2 in i.includes and f3 in i.includes) \t\t\/** alternative (2) *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.requires) | f1 in i.includes => f2 in i.includes\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** requires *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.excludes) | !(f1 in i.includes and f2 in i.includes) \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** excludes *\/\n\t}\n}\n\/** Possible Instances Extension *\/\n\n\npred Root[f: Feature] {\n\tRoot = f\n}\n\npred Mandatory[f1, f2: one Feature] {\n\tf1 -> f2 in GivenFeatureModel.mandatory\n}\n\npred Optional[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.optional\n}\n\npred Alternative[f1: Feature, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.alternative\n}\n\npred Or[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel._or\n}\n\npred Requires[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.requires\n}\n\npred Excludes[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.excludes\n}\n\npred Mandatory[r: Feature -> Feature] {\n\tr = GivenFeatureModel.mandatory\n}\n\npred Optional[r: Feature -> Feature] {\n\tr = GivenFeatureModel.optional\n}\n\npred Alternative[r: Feature -> Feature] {\n\tr = GivenFeatureModel.alternative\n}\n\npred Or[r: Feature -> Feature] {\n\tr = GivenFeatureModel._or\n}\n\npred Requires[r: Feature -> Feature] {\n\tr = GivenFeatureModel.requires\n}\n\npred Excludes[r: Feature -> Feature] {\n\tr + ~r = GivenFeatureModel.excludes\n}\n\npred NoMandatory {\n\tno GivenFeatureModel.mandatory\n}\n\npred NoOptional {\n\tno GivenFeatureModel.optional\n}\n\npred NoAlternative {\n\tno GivenFeatureModel.alternative\n}\n\npred NoOr {\n\tno GivenFeatureModel._or\n}\n\npred NoRequires {\n\tno GivenFeatureModel.requires\n}\n\npred NoExcludes {\n\tno GivenFeatureModel.excludes\n}\n\npred NoRelations[m: FeatureModel] {\n\tno m.excludes\n\tno m.requires\n\tno m._or\n\tno m.alternative\n\tno m.mandatory\n\tno m.optional\n}\n","old_contents":"\/** Takes a user defined signature and defines the relations according to it. *\/\nmodule feature_model_2[Feature]\n\nopen util\/relation\n\none sig Root in Feature {}\n\nabstract sig FeatureModel {\n\tmandatory: Feature -> Feature,\n\toptional: Feature -> Feature,\n\talternative: Feature -> Feature,\n \t_or: Feature -> Feature,\n\n\trequires: Feature -> Feature,\n\texcludes: Feature -> Feature\n}\n\n\/** EmptyFeatureModel is the model that has no relations, GivenFeatureModel is the model that user defines *\/\none sig EmptyFeatureModel, GivenFeatureModel extends FeatureModel {}\n\nfact {\n\tfunc_definitions[GivenFeatureModel]\n\tNoRelations[EmptyFeatureModel]\n\tall f: ran[FeatureModel.(requires + excludes)] | some f.~(FeatureModel.(mandatory + optional + alternative + _or))\n\tlet rel = FeatureModel.(mandatory + optional + alternative + _or + requires + excludes) | Root.*rel = ran[rel] + dom[rel] \/\/ Any feature, connected to this model, must be reachable from the root.\n}\n\nprivate pred func_definitions[m: FeatureModel] {\n\tno m.mandatory & m.optional\n\tno m.mandatory & m.alternative\n\tno m.mandatory & m._or\n\tno m.mandatory & m.requires\n\tno m.mandatory & m.excludes\n\n\tno m.optional & m.alternative\n\tno m.optional & m._or\n\tno m.optional & m.requires\n\tno m.optional & m.excludes\n\n\tno m.alternative & m._or\n\tno m.alternative & m.requires\n\tno m.alternative & m.excludes\n\n\tno m._or & m.requires\n\tno m._or& m.excludes\n\n\tno m.requires & m.excludes\n\n\tno m.mandatory & ~(m.optional)\n\tno m.mandatory & ~(m.alternative)\n\tno m.mandatory & ~(m._or)\n\tno m.mandatory & ~(m.requires)\n\tno m.mandatory & ~(m.excludes)\n\n\tno m.optional & ~(m.alternative)\n\tno m.optional & ~(m._or)\n\tno m.optional & ~(m.requires)\n\tno m.optional & ~(m.excludes)\n\n\tno m.alternative & ~(m._or)\n\tno m.alternative & ~(m.requires)\n\tno m.alternative & ~(m.excludes)\n\n\tno m._or & ~(m.requires)\n\tno m._or & ~(m.excludes)\n\n\tno m.requires & ~(m.excludes)\n\n\tirreflexive[m.mandatory]\n\tirreflexive[m.optional]\n\tirreflexive[m.alternative]\n\tirreflexive[m._or]\n\tirreflexive[m.requires]\n\tirreflexive[m.excludes]\n\tantisymmetric[m.mandatory]\n\tantisymmetric[m.optional]\n\tantisymmetric[m.alternative]\n\tantisymmetric[m._or]\n\tantisymmetric[m.requires]\n}\n\n\/** Possible Instances Extension *\/\n\/\/ There are instances that includes features.\nsig Instance {\n\tincludes: set Feature\n}\n\n\/\/ There are not two equal instances.\nfact all_instances_unique {\n\tall i: Instance, i': Instance-i | i.includes != i'.includes\n}\n\nfact diversity_rules {\n\tall i: Instance {\n\t\t Root in i.includes\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** root *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.optional) | f2 in i.includes => f1 in i.includes \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** optional *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.mandatory) | f2 in i.includes <=> f1 in i.includes \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** mandatory *\/\n\t\tall f1: Feature | f1 in i.includes and some f1.(FeatureModel._or) <=> some f1.(FeatureModel._or) & i.includes \t\t\t\t\t\t\t\t\/** or *\/\n\t\tall f1: Feature | f1 in i.includes and some f1.(FeatureModel.alternative) <=> some f1.(FeatureModel.alternative) & i.includes\t\t\t\/** alternative (1) *\/\n\t\tall f1: i.includes, f2: f1.(FeatureModel.alternative), f3: f1.(FeatureModel.alternative) - f2 | !(f2 in i.includes and f3 in i.includes) \t\t\/** alternative (2) *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.requires) | f1 in i.includes => f2 in i.includes\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** requires *\/\n\t\tall f1: Feature, f2: f1.(FeatureModel.excludes) | !(f1 in i.includes and f2 in i.includes) \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\/** excludes *\/\n\t}\n}\n\/** Possible Instances Extension *\/\n\npred Root[f: Feature] {\n\tRoot = f\n}\n\npred Mandatory[f1, f2: one Feature] {\n\tf1 -> f2 in GivenFeatureModel.mandatory\n}\n\npred Optional[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.optional\n}\n\npred Alternative[f1: Feature, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.alternative\n}\n\npred Or[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel._or\n}\n\npred Requires[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.requires\n}\n\npred Excludes[f1, f2: Feature] {\n\tf1 -> f2 in GivenFeatureModel.excludes\n}\n\npred Mandatory[r: Feature -> Feature] {\n\tr = GivenFeatureModel.mandatory\n}\n\npred Optional[r: Feature -> Feature] {\n\tr = GivenFeatureModel.optional\n}\n\npred Alternative[r: Feature -> Feature] {\n\tr = GivenFeatureModel.alternative\n}\n\npred Or[r: Feature -> Feature] {\n\tr = GivenFeatureModel._or\n}\n\npred Requires[r: Feature -> Feature] {\n\tr = GivenFeatureModel.requires\n}\n\npred Excludes[r: Feature -> Feature] {\n\tr + ~r = GivenFeatureModel.excludes\n}\n\npred NoMandatory {\n\tno GivenFeatureModel.mandatory\n}\n\npred NoOptional {\n\tno GivenFeatureModel.optional\n}\n\npred NoAlternative {\n\tno GivenFeatureModel.alternative\n}\n\npred NoOr {\n\tno GivenFeatureModel._or\n}\n\npred NoRequires {\n\tno GivenFeatureModel.requires\n}\n\npred NoExcludes {\n\tno GivenFeatureModel.excludes\n}\n\npred NoRelations[m: FeatureModel] {\n\tno m.excludes\n\tno m.requires\n\tno m._or\n\tno m.alternative\n\tno m.mandatory\n\tno m.optional\n}\n","returncode":0,"stderr":"","license":"epl-1.0","lang":"Alloy"}
{"commit":"07cdf34664c8b0b3fa9d57751592cc77082c0e8e","subject":"misunderstand who is father","message":"misunderstand who is father\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n\tsome p: Person {\n\t\tp.parent_bio & Man != p.parent_think & Man\n\t\tone p.parent_think & Man\n\t}\n} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tsome mother: p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n\tsome p: Person {p.parent_bio & Man != p.parent_think & Man}\n} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"5f7c91b7de64c8a2ca447af29382ed60da23b254","subject":"refactor and fix bug","message":"refactor and fix bug\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude16.als","new_file":"etude16.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred change_state (\n\tp1 : Man, p2 : Woman,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tp1.state.t = before\n\t\tp2.state.t = before\n\t\tp1.state.t' = after\n\t\tp2.state.t' = after\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - p1 - p2) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\tsome disj p1 : Man, p2 : Woman {\n\t\tchange_state[p1, p2, t, t', NotMarried, Married]\n\t\tor\n\t\tchange_state[p1, p2, t, t', Married, NotMarried]\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1 : Man, p2 : Woman {\n\t\t{{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}}\n\t\t\/\/ others don't change their state\n\t\tlet others = (Person - p1 - p2) {\n\t\t\tothers.state.t = others.state.t'\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for 3 Person, 5 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"602203f65b4c7381e780f24e7cce9c8731709c52","subject":"alloy updated again","message":"alloy updated again\n","repos":"cattaneo-riccardo\/PowerEnjoy","old_file":"Alloy\/powerenjoy_model.als","new_file":"Alloy\/powerenjoy_model.als","new_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 100\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 100\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\thour: Int,\n\tminute: Int\n} {\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\/\/\tradius: Int\n} {\n\/\/\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t'.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t == t'\npred areEqual[t, t': Time] {\n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if t - t' <= 1h\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\tor\n\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n}\n\n\/\/ Returns true if t >= t'\npred comesAfterOrEqual[t, t': Time] {\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 4\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 4)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 4\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 4)\n}\n\npred isFarFromSpecialSafeArea[area: Safe_Area] {\n\t\t\tall ssa: Special_Safe_Area |(\n\t\t\t(int ssa.center.latitude >= int area.center.latitude\n\t\t\timplies \n\t\t\t\tsub[ssa.center.latitude, area.center.latitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.latitude, ssa.center.latitude] > 15\n\t\t\t)\n\t\t\tand\n\t\t\t(int ssa.center.longitude >= int area.center.longitude implies \n\t\t\t\tsub[ssa.center.longitude, area.center.longitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.longitude, ssa.center.longitude] > 15)\n\t)\n}\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/There are no different Time with the same time\n\/*fact alwaysDifferent {\n\tall t, t': Time | t!=t' implies (not areEqual[t, t'])\n}*\/\n\n\/\/ CurrentTime is after all the times in the model\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open and has enough battery\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff(\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res])\n\t\t and  c.battery_level>80\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\t(some rid.release_time\n\t\tiff\n\t\tsome rid.release_battery_level) and \n\t\t(some rid.release_area \n\t\tiff\n\t\tsome rid.release_time) and \n\t\t(some rid.release_time\n\t\t iff\n\t\tsome rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservationConstraint {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/Passengers discount of 10%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and one res.ride.release_time and res.ride.passengers>2\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 9],10]\n\t\t)\n\t)\n}\n\n\/\/Non-empty battery discount of 20%\nfact nonEmptyBatteryDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level>=50\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 4],5]\n\t\t)\n\t)\n}\n\n\/\/Car released charging discount of 30%\nfact chargingDiscount{\n\tall res: Reservation | (\n\tres.expired = False and (res.ride.release_area in Special_Safe_Area) and res.ride.release_plugged = True\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t)\n\t)\n}\n\n\/\/Car released far and with low battery extra-charging of 30%\nfact lowBatteryExtraFee{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level<20 and isFarFromSpecialSafeArea[res.ride.release_area]\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 13],10]\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n\tor\n\tall ride: Ride |  all ct: CurrentTime| ride.release_time=ct\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Reservation = 1\n\tsome r: Reservation | (r.ride.release_battery_level>=50) \n\tsome c: Car | c.available = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\nrun show for 8 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 8 Int\n","old_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 10\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 10\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\thour: Int,\n\tminute: Int\n} {\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\/\/\tradius: Int\n} {\n\/\/\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t'.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t == t'\npred areEqual[t, t': Time] {\n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if t - t' <= 1h\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\tor\n\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n}\n\n\/\/ Returns true if t >= t'\npred comesAfterOrEqual[t, t': Time] {\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 4\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 4)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 4\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 4)\n}\n\npred isFarFromSpecialSafeArea[area: Safe_Area] {\n\t\t\tall ssa: Special_Safe_Area |(\n\t\t\t(int ssa.location.latitude >= int area.location.latitude\n\t\t\timplies \n\t\t\t\tsub[ssa.location.latitude, area.location.latitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.location.latitude, ssa.location.latitude] > 15\n\t\t\t)\n\t\t\tand\n\t\t\t(int ssa.location.longitude >= int area.location.longitude implies \n\t\t\t\tsub[ssa.location.longitude, area.location.longitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.location.longitude, ssa.location.longitude] > 15)\n\t)\n}\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/There are no different Time with the same time\n\/*fact alwaysDifferent {\n\tall t, t': Time | t!=t' implies (not areEqual[t, t'])\n}*\/\n\n\/\/ CurrentTime is after all the times in the model\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open and has enough battery\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res]\n\t\t\tand c.battery_level>80\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\tone rid.release_time\n\t\tiff\n\t\t(one rid.release_battery_level and one rid.release_area and one rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservationConstraint {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/Passengers discount of 10%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and one res.ride.release_time and res.ride.passengers>2\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 9],10]\n\t\t)\n\t)\n}\n\n\/\/Non-empty battery discount of 20%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level>=50\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 4],5]\n\t\t)\n\t)\n}\n\n\/\/Car released charging discount of 30%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and (res.ride.release_area in Special_Safe_Area) and release_plugged = True\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t)\n\t)\n}\n\n\/\/Car released far and with low battery extra-charging of 30%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level<20 and isFarFromSpecialSafeArea[res.ride.release_area]\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 13],10]\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Reservation = 1\n\tall r: Reservation | ((one r.ride.release_time) and r.ride.passengers>=3) \n\/\/\tsome c: Car | c.unlocked = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\nrun show for 8 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 7 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"ce4ccd456e0ce05897616b1fd68442a41e769293","subject":"Added scenario to test for multiple ballots under STV","message":"Added scenario to test for multiple ballots under STV\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A individual person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.last.identifier and v.ranking = #preferences\n    all v: Vote | v.ballot = identifier implies v.candidate = preferences.subseq[v.ranking-1,v.ranking].first.identifier\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c] + 1\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome a,b: Ballot | 0 < #a.preferences and 0 < #b.preferences\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n","old_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A individual person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.last.identifier and v.ranking = #preferences\n    all v: Vote | v.ballot = identifier implies v.candidate = preferences.subseq[v.ranking-1,v.ranking].first.identifier\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c] + 1\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a, b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 7 seq, 6 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"9b1a1af27a3f75154ecabd6c9c5752bb68afd176","subject":"inline \"fun headsIn*\"","message":"inline \"fun headsIn*\"\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = { c: Col | is_black_head[c, r, cols\/prev]}\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = { r: Row | is_black_head[c, r, rows\/prev]}\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = IntTo[j, Row] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = IntTo[j, Col] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\n\n-- about rows or cols\nfun headsInRow (r: Row): set Col {\n  { c: Col | is_black_head[c, r, cols\/prev]}\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | is_black_head[c, r, rows\/prev]}\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in headsInRow[r] and is_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in headsInCol[c] and is_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = IntTo[j, Row] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = IntTo[j, Col] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"11adfa0ddbd1b3419a051b0ea32a98e73186a28a","subject":"Lock elision checking working nicely","message":"Lock elision checking working nicely\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/arm8_lock_elision.als","new_file":"mappings\/arm8_lock_elision.als","new_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n\n  map in (X.EV one->some X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(scst+scsl)\n\n  \/\/ don't worry about failing transactions for now\n  no X.ftxn + X'.ftxn\n\n  \/\/ suppose we don't have transactions in the source program\n  \/\/no X.stxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  X.scst in map.(X'.stxn).~map\n\n  some L : set E { \n\n    X.stxn in map.(X'.stxn).~map\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X.sthd = map.((X'.EV - L) <: (X'.sthd) :> (X'.EV - L)).~map\n    X.sb =   map.((X'.EV - L) <: (X'.sb)   :> (X'.EV - L)).~map\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMB   = (X'.DMB   - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ the set of lock-related events introduced by the mapping\n    L in X'.EV \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    all e : dom[X.scst] {\n      \/\/ e is in a critical section to be transactionalised \n      e not in ran[X.sb & X.scst] => (\n        \/\/ e is first in its critical section \n        some disj eL, e' : X'.EV {\n          e.map = eL + e' \/\/ e maps to two events, eL and e'\n          e' not in L \/\/ e' is not a lock-related event\n          (eL -> e') in imm[X'.sb] & X'.stxn \/\/ eL is first in the transaction\n          eL in L & X'.R \/\/ eL is a lock-related read event\n        }\n      )\n      e in ran[X.sb & X.scst] => {\n        \/\/ e is not first in its critical section\n        one e.map \/\/ e maps to a single event\n        e.map not in L \/\/ e does not map to a lock-related event\n      }\n    }\n\n    all e : dom[X.scsl] {\n      e not in ran[X.sb & X.scsl] => (\n        \/\/ e is first in its critical section\n        some disj eLR, eLW, e' : X'.EV {\n          e.map = eLR + eLW + e' \/\/ e maps to three events, eLR, eLW, and e'\n          e' not in L \/\/ e' is not a lock-related event\n          (eLR -> eLW) in imm[X'.sb] & X'.atom \/\/ eLR and eLW form an RMW pair\n          (eLW -> e') in imm[X'.sb] \/\/ eLW precedes e' in program order\n          eLR in L & X'.SCACQ & X'.R \/\/ eLR is a lock-related acquire read\n          eLW in L & X'.W \/\/ eLW is a lock-related write\n        }\n      )\n      e not in dom[X.sb & X.scsl] => (\n        \/\/ e is last in its critical section\n        some disj e', eL : X'.EV {\n          e.map = e' + eL \/\/ e maps to two events, e' and eL\n          e' not in L \/\/ e' is not a lock-related event\n          (e' -> eL) in imm[X'.sb] \/\/ eL follows e' in program order\n          eL in L & X'.SCREL & X'.W \/\/ eL is a lock-related release write \n        }\n      ) \n      e in dom[X.sb & X.scsl] & ran[X.sb & X.scsl] => {\n        \/\/ e is neither first nor last in its critical section\n        one e.map \/\/ e maps to a single event\n        e.map not in L \/\/ e does not map to a lock-related event\n      }\n    }\n\n    all e : X.EV - dom[X.scsl] - dom[X.scst] {\n      \/\/ e is not in a critical section\n      one e.map \/\/ e maps to a single event\n      e.map not in L \/\/ e does not map to a lock-related event\n    }\n  \n  }   \n   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = X.scst + X.scsl |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n  not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\n  \/\/hint_src[X]\n  \/\/hint_tgt[X']\n}\n\npred hint_src[X:Exec_Arm8L] {\n\/\/     lock[t] { ||     lock {\n\/\/ E0:   W x 1   || E1:   R x 0\n\/\/     }         ||       [data]\n\/\/               || E2:   W x 2\n\/\/               ||     }\n  some disj E0, E1, E2 : E {\n    X.EV = E0+E1+E2\n    X.R = E1\n    X.W = E0+E2\n    X.F = none\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.DMB = none\n    X.co = (E0->E2)\n    X.rf = none->none\n    X.sloc = sq[E0+E1+E2]\n    X.sthd = sq[E0] + sq[E1+E2]\n    X.cd = none->none\n    X.dd = E1->E2\n    X.ad = none->none\n    X.sb = (E1->E2)\n    X.atom = none->none\n    X.scst = sq[E0]\n    X.scsl = sq[E1+E2]\n    X.ftxn = none->none\n    X.stxn = none->none\n  }\n}\n\npred hint_tgt[X:Exec_Arm8L] {\n\/\/     txn {      || E5: R*[ACQ] lock 0   \n\/\/ E3:   R lock 0 || E6: W* lock 1 \n\/\/ E4:   W x 1    || E7: R x 0\n\/\/     }          ||     [data]\n\/\/                || E8: W x 2\n\/\/                || E9: W[REL] lock 2\n\n  some disj E3, E4, E5, E6, E7, E8, E9 : E {\n    X.EV = E3+E4+E5+E6+E7+E8+E9\n    X.R = E3+E5+E7\n    X.W = E4+E6+E8+E9\n    X.F = none\n    X.SCACQ = E5\n    X.SCREL = E9\n    X.DMBLD = none\n    X.DMBST = none\n    X.DMB = none\n    X.co = (E4->E8)+(E6->E9)\n    X.rf = none->none\n    X.sloc = sq[E4+E7+E8] + sq[E3+E5+E6+E9]\n    X.sthd = sq[E3+E4] + sq[E5+E6+E7+E8+E9]\n    X.cd = none->none\n    X.dd = E7->E8\n    X.ad = none->none\n    X.sb = (E3->E4) + ^((E5->E6)+(E6->E7)+(E7->E8)+(E8->E9))\n    X.atom = (E5->E6)\n    X.scst = none->none\n    X.scsl = none->none\n    X.ftxn = none->none\n    X.stxn = sq[E3+E4]\n  }\n}\n\nrun p for 2 Exec, 7 E\n","old_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n\n  map in (X.EV one->some X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(scst+scsl)\n\n  \/\/ don't worry about failing transactions for now\n  no X.ftxn + X'.ftxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  X.scst in map.(X'.stxn).~map\n\n  some L : set E { \n\n    X.stxn in map.(X'.stxn).~map\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X.sthd = map.((X'.EV - L) <: (X'.sthd) :> (X'.EV - L)).~map\n    X.sb =   map.((X'.EV - L) <: (X'.sb)   :> (X'.EV - L)).~map\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMB   = (X'.DMB   - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ the set of lock-related events introduced by the mapping\n    L in X'.EV \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    all e : dom[X.scst] {\n      \/\/ e is in a critical section to be transactionalised \n      e not in ran[X.sb & X.scst] => (\n        \/\/ e is first in its critical section \n        some disj eL, e' : X'.EV {\n          e.map = eL + e' \/\/ e maps to two events, eL and e'\n          e' not in L \/\/ e' is not a lock-related event\n          (eL -> e') in imm[X'.sb] & X'.stxn \/\/ eL is first in the transaction\n          eL in L & X'.R \/\/ eL is a lock-related read event\n        }\n      )\n      e in ran[X.sb & X.scst] => {\n        \/\/ e is not first in its critical section\n        one e.map \/\/ e maps to a single event\n        e.map not in L \/\/ e does not map to a lock-related event\n      }\n    }\n\n    all e : dom[X.scsl] {\n      e not in ran[X.sb & X.scsl] => (\n        \/\/ e is first in its critical section\n        some disj eLR, eLW, e' : X'.EV {\n          e.map = eLR + eLW + e' \/\/ e maps to three events, eLR, eLW, and e'\n          e' not in L \/\/ e' is not a lock-related event\n          (eLR -> eLW) in imm[X'.sb] & X'.atom \/\/ eLR and eLW form an RMW pair\n          (eLW -> e') in imm[X'.sb] \/\/ eLW precedes e' in program order\n          eLR in L & X'.SCACQ & X'.R \/\/ eLR is a lock-related acquire read\n          eLW in L & X'.W \/\/ eLW is a lock-related write\n        }\n      )\n      e not in dom[X.sb & X.scsl] => (\n        \/\/ e is last in its critical section\n        some disj e', eL : X'.EV {\n          e.map = e' + eL \/\/ e maps to two events, e' and eL\n          e' not in L \/\/ e' is not a lock-related event\n          (e' -> eL) in imm[X'.sb] \/\/ eL follows e' in program order\n          eL in L & X'.SCREL & X'.W \/\/ eL is a lock-related release write \n        }\n      ) \n      e in dom[X.sb & X.scsl] & ran[X.sb & X.scsl] => {\n        \/\/ e is neither first nor last in its critical section\n        one e.map \/\/ e maps to a single event\n        e.map not in L \/\/ e does not map to a lock-related event\n      }\n    }\n\n    all e : X.EV - dom[X.scsl] - dom[X.scst] {\n      \/\/ e is not in a critical section\n      one e.map \/\/ e maps to a single event\n      e.map not in L \/\/ e does not map to a lock-related event\n    }\n  \n  }   \n   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = X.scst + X.scsl |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n  not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\n  \/\/hint_src[X]\n  \/\/hint_tgt[X']\n}\n\npred hint_src[X:Exec_Arm8L] {\n\/\/     lock[t] { ||     lock {\n\/\/ E0:   W x 1   || E1:   R x 0\n\/\/     }         ||       [data]\n\/\/               || E2:   W x 2\n\/\/               ||     }\n  some disj E0, E1, E2 : E {\n    X.EV = E0+E1+E2\n    X.R = E1\n    X.W = E0+E2\n    X.F = none\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.DMB = none\n    X.co = (E0->E2)\n    X.rf = none->none\n    X.sloc = sq[E0+E1+E2]\n    X.sthd = sq[E0] + sq[E1+E2]\n    X.cd = none->none\n    X.dd = E1->E2\n    X.ad = none->none\n    X.sb = (E1->E2)\n    X.atom = none->none\n    X.scst = sq[E0]\n    X.scsl = sq[E1+E2]\n    X.ftxn = none->none\n    X.stxn = none->none\n  }\n}\n\npred hint_tgt[X:Exec_Arm8L] {\n\/\/     txn {      || E5: R*[ACQ] lock 0   \n\/\/ E3:   R lock 0 || E6: W* lock 1 \n\/\/ E4:   W x 1    || E7: R x 0\n\/\/     }          ||     [data]\n\/\/                || E8: W x 2\n\/\/                || E9: W[REL] lock 2\n\n  some disj E3, E4, E5, E6, E7, E8, E9 : E {\n    X.EV = E3+E4+E5+E6+E7+E8+E9\n    X.R = E3+E5+E7\n    X.W = E4+E6+E8+E9\n    X.F = none\n    X.SCACQ = E5\n    X.SCREL = E9\n    X.DMBLD = none\n    X.DMBST = none\n    X.DMB = none\n    X.co = (E4->E8)+(E6->E9)\n    X.rf = none->none\n    X.sloc = sq[E4+E7+E8] + sq[E3+E5+E6+E9]\n    X.sthd = sq[E3+E4] + sq[E5+E6+E7+E8+E9]\n    X.cd = none->none\n    X.dd = E7->E8\n    X.ad = none->none\n    X.sb = (E3->E4) + ^((E5->E6)+(E6->E7)+(E7->E8)+(E8->E9))\n    X.atom = (E5->E6)\n    X.scst = none->none\n    X.scsl = none->none\n    X.ftxn = none->none\n    X.stxn = sq[E3+E4]\n  }\n}\n\nrun p for 2 Exec, 6 E\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"6f9b01940b4ade2c64fcc419ebd138529c4bcd5b","subject":"Use latest version of the model","message":"Use latest version of the model\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- Dermot Cochran, 2010, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\n-- See ICSE 2011 paper 'Exploring the Universe of Ballot Boxes'\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate, -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    0 < #preferences\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent Axioms\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | l.outcome = TiedLoser implies w.outcome = TiedWinner\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n-- 18 Different Scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred TwentyFiveBallots {\n\t#BallotBox.ballots = 25\n}\nrun TwentyFiveBallots for 25 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred FifteenDifferentBallots {\n\t#BallotBox.ballots = 15\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun FifteenDifferentBallots for 15 but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n","old_contents":"-- Dermot Cochran, 2010, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\n-- See ICSE 2011 paper 'Exploring the Universe of Ballot Boxes'\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate, -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    0 < #preferences\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent Axioms\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | l.outcome = TiedLoser implies w.outcome = TiedWinner\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n-- 8 Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- 4 Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Election result is always correct\nassert correctness {\n}\n\n\/\/ All unique paths in algorithm have at least one scenario\nassert completeness {\n}\n\n-- 18 Different Scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred TwentyFiveBallots {\n\t#BallotBox.ballots = 25\n}\nrun TwentyFiveBallots for 25 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred FifteenDifferentBallots {\n\t#BallotBox.ballots = 15\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun FifteenDifferentBallots for 15 but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"fadf0bf492792210518a9c9db6dc8d80a599b71a","subject":"Copy Alloy exercise for Thursday's tutorial","message":"Copy Alloy exercise for Thursday's tutorial\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"tutorials\/2017\/thursday\/tutorial_questions.als","new_file":"tutorials\/2017\/thursday\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'tutorials\/2017\/thursday\/tutorial_questions.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"0c5e8185367f58e0a01f1aab038d2ed70efa5201","subject":"fixed bug","message":"fixed bug\n","repos":"septract\/stellite-tool","old_file":"alloy\/c11Relat.als","new_file":"alloy\/c11Relat.als","new_contents":"module c11Relat\n\/\/ open util\/relation\n\n\/\/ TODO: don't have non-atomic actions in this model, just NA locations. \n\n\/\/ Disable non-atomics entirely\nfact { \n  no NonAtomic \n} \n\n\/\/ Helper predicate: assert there are no transitive edges in a relation \npred is_core [ r : Action -> Action ] { \n  all a,b,c: Action | \n    (a -> b) + (b -> c) in ^r  implies  not (a -> c) in r \n} \n\n\/\/ Locations can be local or global \nabstract sig Loc {} \nsig Glob, Thr extends Loc {} \n\n\/\/ Furthermore global locations can be atomic or nonatomic \nsig Atomic, NonAtomic in Glob {} \nfact { \n  Atomic + NonAtomic = Glob \n  disj [ Atomic, NonAtomic ] \n} \n\nsig Val {} \none sig Init in Val {} \/\/ Magic initialisation value\n\n\/\/ Actions kinds corresponding to different memory actions\nabstract sig Kind {} \none sig Read, ReadN, Write, RMW, AssmEq, FenceSC extends Kind {} \n\n\/\/ Actions \nabstract sig Action {} \nsig Intern, Extern, Call, Ret extends Action {} \n\n\/\/ Locations are associated with actions correctly \npred locWF[ dom : set Action, \n            kind : Action -> Kind, \n            gloc : Action -> Glob, \n            lloc1, lloc2 : Intern -> Thr ] { \n    kind in (dom - (Call + Ret)) -> one Kind \n    no (Call + Ret).kind\n\n    gloc in (dom - (Call + Ret)) -> lone Glob\n\n    \/\/ local variables are only recorded for internal actions \n    lloc1 in (dom & Intern) -> lone Thr\n    lloc2 in (dom & Intern) -> lone Thr\n\n    all a : dom | { \n      \/\/ All reads, writes, RMW access global locations\n      a in kind.(Read + ReadN + Write + RMW)  iff  one a.gloc\n\n      \/\/ Reads and writes access zero or one local variables\n      a in kind.(Read + Write) & Intern  implies  { \n        one a.lloc1 and no a.lloc2\n      } \n\n      \/\/ Assume and RMW access two local variables\n      a in kind.(AssmEq + RMW) & Intern  implies  { \n        one a.lloc1 and one a.lloc2\n      } \n  \n      \/\/ Fences and ReadN don't access local variables\n      a in kind.(ReadN + FenceSC) & Intern implies { \n        no a.lloc1 and no a.lloc2 \n      } \n    } \n} \n\n\/\/ Values are associated with actions correctly \npred valWF[ dom : set Action,\n            kind : Action -> Kind, \n            wv, rv : Action -> Val ] { \n    wv in (dom - (Call + Ret)) -> lone Val\n    rv in (dom - (Call + Ret)) -> lone Val\n\n    \/\/ Writes have a written value, reads have a read value, RMW have both\n    all a : dom - (Call + Ret) | { \n      kind[a] in Write iff { \n        one a.wv\n        no a.rv\n      } \n      kind[a] in (Read + ReadN) iff { \n        one a.rv\n        no a.wv\n      } \n      kind[a] in RMW iff { \n        one a.rv\n        one a.wv\n      } \n      \/\/ Implicitly, all other actions have no rv \/ wv\n    } \n} \n\n\/\/ SB is acyclic \npred SBwf [ dom : set Action, \n            kind : Action -> Kind,\n            sb: Action -> Action ] {\n  no iden & ^sb     \n} \n\n\/\/ HB is acyclic \npred HBacyc [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no iden & ^hb \n} \n\n\/\/ Find the last value written for a given local variable and action\nfun lastval [ dom : set Action, \n              kind : Action -> Kind, \n              lloc : Action -> Loc, \n              callmap : Thr -> Val, \n              rv : Action -> Val, \n              sb : Action -> Action, \n              curr : Action, \n              currloc : Loc ] : set Val { \n  { v : Val | \n    some r : dom & kind.Read | { \n      r.rv = v \n      r -> curr in ^sb \n      r.lloc = currloc \n      no r' : dom & kind.Read | { \n        (r -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      } \n    } \n  } \n    + \n  { v : Val | {\n      v = (currloc).callmap \n      (Call -> curr) in ^sb \n      no r' : dom & kind.Read | { \n        (Call -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      }  \n    } \n  } \n} \n\n\/\/ Write the value given at the call to the same local variable.\n\/\/ TODO: handle internal RMW  \npred RFwfLocal [ dom : set Action, \n                kind : Action -> Kind, \n                gloc : Action -> Loc, \n                lloc1, lloc2 : Action -> Loc, \n                callmap, retmap : Thr -> Val, \n                wv, rv : Action -> Val, \n                hb, sb, mo, rf : Action -> Action ] { \n  callmap in Thr -> one Val \n  retmap in Thr -> one Val \n\n  \/\/ Assumes demand equality on local var values\n  all a : dom & kind.AssmEq | { \n    lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc1] = \n      lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc2] \n  } \n\n  \/\/ Writes take the correct local var value \n  all w : dom & kind.Write | {\n    w.wv = lastval[dom, kind, lloc1, callmap, rv, sb, w, w.lloc1] \n  } \n\n  \/\/ The retmap takes the correct values. \n  all t : Thr | { \n    t.retmap = lastval[dom, kind, lloc1, callmap, rv, sb, Ret, t] \n  } \n} \n\n\/\/ RF is well-formed \npred RFwf [ dom : set Action, \n            kind : Action -> Kind,\n            loc : Action -> Loc, \n            wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  \/\/ Read from at most one write \n  rf in kind.(Write + RMW) lone -> kind.(Read + ReadN + RMW) \n\n  \/\/ Irreflexive \n  no iden & rf \n\n  all r : dom & kind.(Read + ReadN + RMW) | { \n    \/\/ Read from the same location written \n    (rf.r).loc in r.loc \n\n    \/\/ Value taken from origin write\n    some rf.r implies r.rv = (rf.r).wv \/\/ and not r.rval in Init\n    no rf.r implies r.rv in Init \n\n    \/\/ Allow initialisation reads, but force actions to \n    \/\/ read from an explicit write if any is hb-available \n    \/\/ Note MO used here because r might be a RMW \n    (some (hb + mo).r & (kind.(Write + RMW) <: loc).(r.loc) ) \n          implies (some rf.r) \n    \/\/ TODO: Mark isn't completely convinced\n  } \n} \n\n\/\/ Define hb by combining rf with hb over atomics \npred HBdef [ dom : set Action, \n             kind : Action -> Kind,\n             loc : Action -> Loc, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ sw (sync-with) is rf projected to atomic locations\n  let aact = dom & loc.Atomic, \n      sw = rf & (aact -> aact) | \n\n  \/\/ sc is mo projected to SC fences\n  let fences = dom & (kind.FenceSC),  \n      sc = mo & (fences -> fences) | \n\n  hb = ^(sw + sb + sc)\n} \n\n\/\/ Coherence order is respected\n\/\/ Note: this version of the axiom also covers the AtomRMW rule. \npred CoWR [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] {\n  all r : dom & kind.(Read + ReadN + RMW), w1 : rf.r | \n    not { (w1 -> r) in mo.(hb + mo) } \n} \n\n\/\/ Modification order is well-formed\npred MOwf [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  mo = ^mo     \/\/ transitive\n  no iden & mo  \/\/ irreflexive \n  mo in kind.(Write + RMW + FenceSC) -> kind.(Write + RMW + FenceSC)\n  \n  all disj w1, w2 : dom | {\n    (w1 -> w2) in mo + ~mo iff { \n      \/\/ per-location total on atomic read \/ RMWs \n      ((w1.loc = w2.loc) and w1 + w2 in (loc.Atomic & kind.(Write + RMW))) \n        or \n      \/\/ total mo on SC fences \n      (w1 + w2 in kind.FenceSC) \n    } \n  } \n} \n \n\n\/\/ HB and MO do not contradict one another\npred HBvsMO [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no hb & ~mo \n} \n\n\/\/ \/\/ Stronger version of this axiom: rule out cycles, not loops\n\/\/ pred HBMOacyc [ e : Execution ] { \n\/\/   no iden & ^(e.hb + e.mo) \n\/\/ } \n\n\/\/ Reads-from edges for NAs all follow hb \npred RFNonAtomic [ dom : set Action,  \n                   kind : Action -> Kind,\n                   loc : Action -> Loc, \n                   wv, rv : Action -> Val, \n                   hb, sb, mo, rf : Action -> Action ] { \n  let NA_reads = (dom <: loc).NonAtomic & kind.(Read + ReadN) | \n     (rf :> NA_reads) in hb \n} \n\n\/\/ Combine the different predicates into execution validity \npred valid [ dom : set Action, \n             kind : Action -> Kind,\n             gloc : Action -> Glob, \n             lloc1, lloc2: Action -> Thr, \n             callmap, retmap : Thr -> Val, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ Sanity conditions\n  hb + sb + mo + rf in (dom -> dom) \n\n  \/\/ Pre-execution structure \n  locWF[dom, kind, gloc, lloc1, lloc2]  \n  valWF[dom, kind, wv, rv]\n  SBwf[dom, kind, sb]\n\n  \/\/ Local variable handling \n  RFwfLocal[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, hb, sb, mo, rf] \n\n  \/\/ Axioms \n  HBacyc[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBdef[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  CoWR[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  MOwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBvsMO[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFNonAtomic[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n} \n\n\/\/ Test whether the execution is DRF \npred DRF [ dom : set Action, \n           kind : Action -> Kind,\n           loc : Action -> Loc, \n           wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all l : NonAtomic | \n  all disj w, a : (dom <: loc).l | \n    (w in kind.Write) \n    and \n    (a in kind.(Write + Read + ReadN)) \n    implies \n    (w -> a) in (hb + ~hb) \n} \n\n\/\/ The execution is sequential, i.e. sb is total\npred sequential [ dom : set Action, sb : Action -> Action ] { \n  all disj a1, a2 : dom |   a1 -> a2 in ^sb + ^(~sb)\n} \n\n\n\/*************************************************\/ \n\/* Tests                                         *\/ \n\/*************************************************\/ \n\n\/\/ run valid_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc)\n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6 but exactly 2 Thr, 0 Extern\n\/\/ \n\/\/  \n\/\/ run seq_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc) \n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      \/\/ check sequential \n\/\/      sequential[dom, sb]  \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6\n\/\/  \n\n\/\/ \/\/ Executions with no non-atomics are automatically DRF \n\/\/ check atomic_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]  \n\/\/        implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   }\n\/\/   for 30\n\/\/   but 0 NonAtomic \n\/\/ \n\/\/ \/\/ Sequential executions are automatically DRF \n\/\/ check seq_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/               loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/               hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       and sequential[dom, sb] \n\/\/     implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   } \n\/\/   for 10\n\/\/ \n\/\/ run litmus_SB \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_SB[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 6 \n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ run litmus_IRIW \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_IRIW[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 10\n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ \/*************************************************\/ \n\/\/ \/* Litmus test code                              *\/ \n\/\/ \/*************************************************\/ \n\/\/ \n\/\/ \/\/ SB litmus test without initialisation\n\/\/ pred code_SB [ dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write |  \n\/\/   some disj rx, ry : kind.Read |  { \n\/\/     dom = (wx + wy + rx + ry)\n\/\/     (wx -> ry) + (wy -> rx) in sb \/\/ allow stronger sb  \n\/\/     one wx.loc + rx.loc \n\/\/     one wy.loc + ry.loc \n\/\/     no wx.loc & wy.loc\n\/\/     no rf \/\/ read from initialisation \n\/\/   } \n\/\/ } \n\/\/ \n\/\/ \/\/ Comment from JPW - alloy simplifies rel = ((a->b) + (c->d)... \n\/\/ \/\/ Refactor this code? \n\/\/ \n\/\/ pred code_IRIW [ dom : set Action, kind : Action -> Kind,\n\/\/                  loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                  hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write | \n\/\/   some disj r1x, r2x, r1y, r2y : kind.Read | { \n\/\/     dom = wx + wy + r1x + r2x + r1y + r2y \n\/\/     rf = ((wx -> r1x) + (wy -> r2y)) \n\/\/     ((r1x -> r1y) + (r2y -> r2x)) in sb\n\/\/     one wx.loc + r1x.loc + r2x.loc \n\/\/     one wy.loc + r1y.loc + r2y.loc \n\/\/     no wx.loc & wy.loc \n\/\/   } \n\/\/ } \n\/\/ \n","old_contents":"module c11Relat\n\/\/ open util\/relation\n\n\/\/ TODO: don't have non-atomic actions in this model, just NA locations. \n\n\/\/ Disable non-atomics entirely\nfact { \n  no NonAtomic \n} \n\n\/\/ Helper predicate: assert there are no transitive edges in a relation \npred is_core [ r : Action -> Action ] { \n  all a,b,c: Action | \n    (a -> b) + (b -> c) in ^r  implies  not (a -> c) in r \n} \n\n\/\/ Locations can be local or global \nabstract sig Loc {} \nsig Glob, Thr extends Loc {} \n\n\/\/ Furthermore global locations can be atomic or nonatomic \nsig Atomic, NonAtomic in Glob {} \nfact { \n  Atomic + NonAtomic = Glob \n  disj [ Atomic, NonAtomic ] \n} \n\nsig Val {} \none sig Init in Val {} \/\/ Magic initialisation value\n\n\/\/ Actions kinds corresponding to different memory actions\nabstract sig Kind {} \none sig Read, ReadN, Write, RMW, AssmEq, FenceSC extends Kind {} \n\n\/\/ Actions \nabstract sig Action {} \nsig Intern, Extern, Call, Ret extends Action {} \n\n\/\/ Locations are associated with actions correctly \npred locWF[ dom : set Action, \n            kind : Action -> Kind, \n            gloc : Action -> Glob, \n            lloc1, lloc2 : Intern -> Thr ] { \n    kind in (dom - (Call + Ret)) -> one Kind \n    no (Call + Ret).kind\n\n    gloc in (dom - (Call + Ret)) -> lone Glob\n\n    \/\/ local variables are only recorded for internal actions \n    lloc1 in (dom & Intern) -> lone Thr\n    lloc2 in (dom & Intern) -> lone Thr\n\n    all a : dom | { \n      \/\/ All reads, writes, RMW access global locations\n      a in kind.(Read + Write + RMW)  iff  one a.gloc\n\n      \/\/ Reads and writes access zero or one local variables\n      a in kind.(Read + Write) & Intern  implies  { \n        one a.lloc1 and one a.lloc2\n      } \n\n      \/\/ Reads and writes access zero or one local variables\n      a in kind.ReadN & Intern  implies  { \n        one a.lloc1 and no a.lloc2\n      } \n\n      \/\/ Assume and RMW access two local variables\n      a in kind.(AssmEq + RMW) & Intern  implies  { \n        one a.lloc1 and one a.lloc2\n      } \n  \n      \/\/ Fences don't access local variables\n      a in kind.FenceSC & Intern implies { \n        no a.lloc1 and no a.lloc2 \n      } \n    } \n} \n\n\/\/ Values are associated with actions correctly \npred valWF[ dom : set Action,\n            kind : Action -> Kind, \n            wv, rv : Action -> Val ] { \n    wv in (dom - (Call + Ret)) -> lone Val\n    rv in (dom - (Call + Ret)) -> lone Val\n\n    \/\/ Writes have a written value, reads have a read value, RMW have both\n    all a : dom - (Call + Ret) | { \n      kind[a] in Write iff { \n        one a.wv\n        no a.rv\n      } \n      kind[a] in (Read + ReadN) iff { \n        one a.rv\n        no a.wv\n      } \n      kind[a] in RMW iff { \n        one a.rv\n        one a.wv\n      } \n      \/\/ Implicitly, all other actions have no rv \/ wv\n    } \n} \n\n\/\/ SB is acyclic \npred SBwf [ dom : set Action, \n            kind : Action -> Kind,\n            sb: Action -> Action ] {\n  no iden & ^sb     \n} \n\n\/\/ HB is acyclic \npred HBacyc [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no iden & ^hb \n} \n\n\/\/ Find the last value written for a given local variable and action\nfun lastval [ dom : set Action, \n              kind : Action -> Kind, \n              lloc : Action -> Loc, \n              callmap : Thr -> Val, \n              rv : Action -> Val, \n              sb : Action -> Action, \n              curr : Action, \n              currloc : Loc ] : set Val { \n  { v : Val | \n    some r : dom & kind.Read | { \n      r.rv = v \n      r -> curr in ^sb \n      r.lloc = currloc \n      no r' : dom & kind.Read | { \n        (r -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      } \n    } \n  } \n    + \n  { v : Val | {\n      v = (currloc).callmap \n      (Call -> curr) in ^sb \n      no r' : dom & kind.Read | { \n        (Call -> r') + (r' -> curr) in ^sb \n        r'.lloc = currloc  \n      }  \n    } \n  } \n} \n\n\/\/ Write the value given at the call to the same local variable.\n\/\/ TODO: handle internal RMW  \npred RFwfLocal [ dom : set Action, \n                kind : Action -> Kind, \n                gloc : Action -> Loc, \n                lloc1, lloc2 : Action -> Loc, \n                callmap, retmap : Thr -> Val, \n                wv, rv : Action -> Val, \n                hb, sb, mo, rf : Action -> Action ] { \n  callmap in Thr -> one Val \n  retmap in Thr -> one Val \n\n  \/\/ Assumes demand equality on local var values\n  all a : dom & kind.AssmEq | { \n    lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc1] = \n      lastval[dom, kind, lloc1, callmap, rv, sb, a, a.lloc2] \n  } \n\n  \/\/ Writes take the correct local var value \n  all w : dom & kind.Write | {\n    w.wv = lastval[dom, kind, lloc1, callmap, rv, sb, w, w.lloc1] \n  } \n\n  \/\/ The retmap takes the correct values. \n  all t : Thr | { \n    t.retmap = lastval[dom, kind, lloc1, callmap, rv, sb, Ret, t] \n  } \n} \n\n\/\/ RF is well-formed \npred RFwf [ dom : set Action, \n            kind : Action -> Kind,\n            loc : Action -> Loc, \n            wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  \/\/ Read from at most one write \n  rf in kind.(Write + RMW) lone -> kind.(Read + ReadN + RMW) \n\n  \/\/ Irreflexive \n  no iden & rf \n\n  all r : dom & kind.(Read + ReadN + RMW) | { \n    \/\/ Read from the same location written \n    (rf.r).loc in r.loc \n\n    \/\/ Value taken from origin write\n    some rf.r implies r.rv = (rf.r).wv \/\/ and not r.rval in Init\n    no rf.r implies r.rv in Init \n\n    \/\/ Allow initialisation reads, but force actions to \n    \/\/ read from an explicit write if any is hb-available \n    \/\/ Note MO used here because r might be a RMW \n    (some (hb + mo).r & (kind.(Write + RMW) <: loc).(r.loc) ) \n          implies (some rf.r) \n    \/\/ TODO: Mark isn't completely convinced\n  } \n} \n\n\/\/ Define hb by combining rf with hb over atomics \npred HBdef [ dom : set Action, \n             kind : Action -> Kind,\n             loc : Action -> Loc, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ sw (sync-with) is rf projected to atomic locations\n  let aact = dom & loc.Atomic, \n      sw = rf & (aact -> aact) | \n\n  \/\/ sc is mo projected to SC fences\n  let fences = dom & (kind.FenceSC),  \n      sc = mo & (fences -> fences) | \n\n  hb = ^(sw + sb + sc)\n} \n\n\/\/ Coherence order is respected\n\/\/ Note: this version of the axiom also covers the AtomRMW rule. \npred CoWR [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] {\n  all r : dom & kind.(Read + ReadN + RMW), w1 : rf.r | \n    not { (w1 -> r) in mo.(hb + mo) } \n} \n\n\/\/ Modification order is well-formed\npred MOwf [ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  mo = ^mo     \/\/ transitive\n  no iden & mo  \/\/ irreflexive \n  mo in kind.(Write + RMW + FenceSC) -> kind.(Write + RMW + FenceSC)\n  \n  all disj w1, w2 : dom | {\n    (w1 -> w2) in mo + ~mo iff { \n      \/\/ per-location total on atomic read \/ RMWs \n      ((w1.loc = w2.loc) and w1 + w2 in (loc.Atomic & kind.(Write + RMW))) \n        or \n      \/\/ total mo on SC fences \n      (w1 + w2 in kind.FenceSC) \n    } \n  } \n} \n \n\n\/\/ HB and MO do not contradict one another\npred HBvsMO [ dom : set Action, kind : Action -> Kind,\n              loc : Action -> Loc, wv, rv : Action -> Val, \n              hb, sb, mo, rf : Action -> Action ] { \n  no hb & ~mo \n} \n\n\/\/ \/\/ Stronger version of this axiom: rule out cycles, not loops\n\/\/ pred HBMOacyc [ e : Execution ] { \n\/\/   no iden & ^(e.hb + e.mo) \n\/\/ } \n\n\/\/ Reads-from edges for NAs all follow hb \npred RFNonAtomic [ dom : set Action,  \n                   kind : Action -> Kind,\n                   loc : Action -> Loc, \n                   wv, rv : Action -> Val, \n                   hb, sb, mo, rf : Action -> Action ] { \n  let NA_reads = (dom <: loc).NonAtomic & kind.(Read + ReadN) | \n     (rf :> NA_reads) in hb \n} \n\n\/\/ Combine the different predicates into execution validity \npred valid [ dom : set Action, \n             kind : Action -> Kind,\n             gloc : Action -> Glob, \n             lloc1, lloc2: Action -> Thr, \n             callmap, retmap : Thr -> Val, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] {\n  \/\/ Sanity conditions\n  hb + sb + mo + rf in (dom -> dom) \n\n  \/\/ Pre-execution structure \n  locWF[dom, kind, gloc, lloc1, lloc2]  \n  valWF[dom, kind, wv, rv]\n  SBwf[dom, kind, sb]\n\n  \/\/ Local variable handling \n  RFwfLocal[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, hb, sb, mo, rf] \n\n  \/\/ Axioms \n  HBacyc[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBdef[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  CoWR[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  MOwf[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  HBvsMO[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n  RFNonAtomic[dom, kind, gloc, wv, rv, hb, sb, mo, rf] \n} \n\n\/\/ Test whether the execution is DRF \npred DRF [ dom : set Action, \n           kind : Action -> Kind,\n           loc : Action -> Loc, \n           wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all l : NonAtomic | \n  all disj w, a : (dom <: loc).l | \n    (w in kind.Write) \n    and \n    (a in kind.(Write + Read + ReadN)) \n    implies \n    (w -> a) in (hb + ~hb) \n} \n\n\/\/ The execution is sequential, i.e. sb is total\npred sequential [ dom : set Action, sb : Action -> Action ] { \n  all disj a1, a2 : dom |   a1 -> a2 in ^sb + ^(~sb)\n} \n\n\n\/*************************************************\/ \n\/* Tests                                         *\/ \n\/*************************************************\/ \n\n\/\/ run valid_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc)\n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6 but exactly 2 Thr, 0 Extern\n\/\/ \n\/\/  \n\/\/ run seq_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/                gloc, lloc : Action -> Loc, \n\/\/                callmap, retmap : Thr -> Val, \n\/\/                wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/      dom = Action \n\/\/      Loc = dom.(gloc + lloc) \n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/      \/\/ check sequential \n\/\/      sequential[dom, sb]  \n\/\/      no Call + Ret\n\/\/   } \n\/\/ } for 6\n\/\/  \n\n\/\/ \/\/ Executions with no non-atomics are automatically DRF \n\/\/ check atomic_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]  \n\/\/        implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   }\n\/\/   for 30\n\/\/   but 0 NonAtomic \n\/\/ \n\/\/ \/\/ Sequential executions are automatically DRF \n\/\/ check seq_DRF \n\/\/   { all dom : set Action, kind : Action -> Kind,\n\/\/               loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/               hb, sb, mo, rf : Action -> Action |\n\/\/     valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       and sequential[dom, sb] \n\/\/     implies DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/   } \n\/\/   for 10\n\/\/ \n\/\/ run litmus_SB \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_SB[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 6 \n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ run litmus_IRIW \n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/          loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/          hb, sb, mo, rf : Action -> Action | {\n\/\/       valid[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\/\/       DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/       dom = Action \n\/\/       Loc = dom.loc \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       \/\/ litmus test \n\/\/       code_IRIW[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n\/\/     }\n\/\/   } \n\/\/   for 10\n\/\/   but 0 NonAtomic, 2 Val \n\/\/ \n\/\/ \/*************************************************\/ \n\/\/ \/* Litmus test code                              *\/ \n\/\/ \/*************************************************\/ \n\/\/ \n\/\/ \/\/ SB litmus test without initialisation\n\/\/ pred code_SB [ dom : set Action, kind : Action -> Kind,\n\/\/                loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write |  \n\/\/   some disj rx, ry : kind.Read |  { \n\/\/     dom = (wx + wy + rx + ry)\n\/\/     (wx -> ry) + (wy -> rx) in sb \/\/ allow stronger sb  \n\/\/     one wx.loc + rx.loc \n\/\/     one wy.loc + ry.loc \n\/\/     no wx.loc & wy.loc\n\/\/     no rf \/\/ read from initialisation \n\/\/   } \n\/\/ } \n\/\/ \n\/\/ \/\/ Comment from JPW - alloy simplifies rel = ((a->b) + (c->d)... \n\/\/ \/\/ Refactor this code? \n\/\/ \n\/\/ pred code_IRIW [ dom : set Action, kind : Action -> Kind,\n\/\/                  loc : Action -> Loc, wv, rv : Action -> Val, \n\/\/                  hb, sb, mo, rf : Action -> Action ] { \n\/\/   some disj wx, wy : kind.Write | \n\/\/   some disj r1x, r2x, r1y, r2y : kind.Read | { \n\/\/     dom = wx + wy + r1x + r2x + r1y + r2y \n\/\/     rf = ((wx -> r1x) + (wy -> r2y)) \n\/\/     ((r1x -> r1y) + (r2y -> r2x)) in sb\n\/\/     one wx.loc + r1x.loc + r2x.loc \n\/\/     one wy.loc + r1y.loc + r2y.loc \n\/\/     no wx.loc & wy.loc \n\/\/   } \n\/\/ } \n\/\/ \n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"55bc7142e38cafafff930bb6973f685227af6823","subject":"Incomplete - task : Extend unit tests for complete coverage - reinforced definition of surpluses and quota","message":"Incomplete - task : Extend unit tests for complete coverage - reinforced definition of surpluses and quota\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | c.outcome = Winner implies\n     ((#c.surplus <= #c.votes - Scenario.quota) and (#transfers = 0)) \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and\n     (#c.surplus <= #c.transfers) and (#c.surplus <= (#c.votes + #c.transfers - Scenario.quota)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff\n\t\t(not Scenario.quota <= #c.votes and Scenario.quota <= #c.votes + #c.transfers)\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) iff\n\t\t(c in Scenario.winners and not Scenario.quota <= #c.votes + #c.transfers)\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t((#c.votes + #c.transfers < Scenario.threshold) and not c in Scenario.winners)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.losers & Scenario.eliminated and not #c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota < Election.ballots\n}\ncheck maxQuota for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Unit Tests\npred UnitTest {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1\n}\nrun UnitTest for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 16 but 7 int\n\n-- Version Control for changes to signatures and axioms, excluding lemmas and tests\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 13\n  -- Dermot Cochran 2011-01-13\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n    #surplus < #transfers implies surplus in transfers -- surpluses are taken first from transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff\n\t\t(not Scenario.quota <= #c.votes and Scenario.quota <= #c.votes + #c.transfers)\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) iff\n\t\t(c in Scenario.winners and not Scenario.quota <= #c.votes + #c.transfers)\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t((#c.votes + #c.transfers < Scenario.threshold) and not c in Scenario.winners)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.losers & Scenario.eliminated and not #c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota < Election.ballots\n}\ncheck maxQuota for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Unit Tests\npred UnitTest {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1\n}\nrun UnitTest for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 7 int\n\n-- Version Control for changes to signatures and axioms, exlcuding lemmas and tests\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 13\n  -- Dermot Cochran 2011-01-13\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"a66c8712251409e409354d628e5a8be436f1e103","subject":"Update lecture example","message":"Update lecture example\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"alloy\/alloy_lecture_example.als","new_file":"alloy\/alloy_lecture_example.als","new_contents":"\/\/ A file system object in the file system\n\/\/ Every object has at most one parent\nsig FSObject { parent: lone Dir }\n\n\/\/ The set of directories in the file system\nsig Dir extends FSObject { contents: set FSObject }\n\n\/\/ The set of files in the file system\nsig File extends FSObject { }\n\n\/\/ There exists a unique root\none sig Root extends Dir { } { no parent }\n\n\/\/All file system objects are either files or directories\nfact { File + Dir = FSObject }\n\n\/\/ Every directory is the parent of each of  its contents\nfact { all d: Dir, o: d.contents | o.parent = d }\n\n\/\/ Property asserting a model has at least 3 Dirs and 3 Files\npred ismodel { #Dir>2 && #File>2 }\n\n\/\/ Command to find a model of size at most 6\nrun ismodel for 6\n\n\/\/ Comment out the above command to proceed futher\n\n\/\/ Uncomment the fact below to implement the axiom that\n\/\/ every file system object is in the hereditary contents of the root\n\/\/ fact { all o: FSObject | o in Root.*contents }\n\n\/\/ Check to see that file systems are acyclic\nassert acyclic { no d: Dir | d in d.^contents }\ncheck acyclic for 8\n\n\/\/ This example is developed much further in the on-line Alloy tutorial:\n\/\/ \thttp:\/\/alloy.mit.edu\/alloy\/tutorials\/online\/\n\n","old_contents":"\/\/ A file system object in the file system\nsig FSObject { parent: lone Dir }\n\n\/\/ A directory in the file system\nsig Dir extends FSObject { contents: set FSObject }\n\n\/\/ A file in the file system\nsig File extends FSObject { }\n\n\/\/ There exists a root\none sig Root extends Dir { } { no parent }\n\n\/\/All file system objects are either files or directories\nfact { File + Dir = FSObject }\n\n\/\/ Every directory is the parent of each of  its contents\nfact { all d: Dir, o: d.contents | o.parent = d }\n\n\/\/ Every file system object is in the hereditary contents of the root\nfact { all o: FSObject | o in Root.*contents }\n\n\/\/ Existence of a model with 3 Dirs and 3 Files\npred ismodel [] {\n\t#Dir>2 && #File>2\n} run ismodel for 6\n\n\/\/ Check to see that file systems are acyclic\nassert acyclic { no d: Dir | d in d.^contents }\ncheck acyclic for 6\n\n\/\/ This example is developed much further in the on-line Alloy tutorial:\n\/\/ \thttp:\/\/alloy.mit.edu\/alloy\/tutorials\/online\/\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"fcf4d1055ebbae77c11ec417a2aaad6bad06d8db","subject":"can marry with grandma","message":"can marry with grandma\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\npred can_marry_think (from, to: Person){\n\tto not in from.^parent_think\n\tfrom not in to.^parent_think\n\tto not in from.parent_think.~parent_think\n}\n\npred can_marry_bio (from, to: Person){\n\tto not in from.^parent_bio\n\tfrom not in to.^parent_bio\n\tto not in from.parent_bio.~parent_bio\n}\n\nrun {\n\tsome parent_bio\n\tsome p1: Man, p2: Woman {\n\t\tnot can_marry_think[p1, p2] and can_marry_bio[p1, p2]\n\t}\n} for 6 Person, 8 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\npred can_marry_think (from, to: Person){\n\tto not in from.^parent_think\n\tfrom not in to.^parent_think\n\tto not in from.parent_think.~parent_think\n}\n\npred can_marry_bio (from, to: Person){\n\tto not in from.^parent_bio\n\tfrom not in to.^parent_bio\n\tto not in from.parent_bio.~parent_bio\n}\n\nrun {\n\tsome parent_bio\n\tsome p1: Man, p2: Woman {\n\/\/\t\tp.parent_bio & Man != p.parent_think & Man\n\/\/\t\tone p.parent_think & Man\n\t\tcan_marry_think[p1, p2] and not can_marry_bio[p1, p2]\n\t}\n} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d1cf1f14e61177a9eb6c187859655b0c62282b49","subject":"forgot to add file.","message":"forgot to add file.\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"execution_hints\/c11_strengthening_mo.als","new_file":"execution_hints\/c11_strengthening_mo.als","new_contents":"pred c11_strengthening_mo[X:Exec] {\n\/*\n  \te1:W[na](a,1)   ||  e5: R[acq](x,1)\n\te2:F[rlx]       ||  e6: R[na](a,1)\n\te3:R[rlx](y,1)  ||  e7: W[rlx](y,1)\n\te4:W[rlx](x,1)  ||\n*\/\n  some disj e1,e2,e3,e4,e5,e6,e7 : E {\n    X.EV = e1+e2+e3+e4+e5+e6+e7\n    X.R = e3+e5+e6\n    X.W = e1+e4+e7\n    X.F = e2\n    X.A = e2+e3+e4+e5+e7\n    X.REL = none\n    X.ACQ = e5\n    X.SC = none\n    X.ad = none->none\n    X.dd = none->none\n    X.cd = (e3->e4) + (e5->e6) + (e6->e7)\n    X.sb = ^((e1->e2)+(e2->e3)+(e3->e4)) + ^((e5->e6)+(e6->e7))\n    X.sloc = sq[e1+e6] + sq[e3+e7] + sq[e4+e5]\n    X.sthd = sq[e1+e2+e3+e4] + sq[e5+e6+e7]\n    X.rf = (e1->e6) + (e4->e5) + (e7->e3)\n    X.co = none->none\n  }\n}\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'execution_hints\/c11_strengthening_mo.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"e5e6390bd203692419442b7f93d96a158c361de1","subject":"mystery","message":"mystery\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"mystery.als","new_file":"mystery.als","new_contents":"open util\/ordering[Time]\nenum Person {A, B, C}\nsig Place {}\none sig Nowhere extends Place {}\nsig Time {\n   visit: Person -> Place\n}\nfact {\n   all t: Time, p: Person {\n      one t.visit[p] \/\/ \u4eba\u306f\u4e00\u5ea6\u306b\u4e00\u7b87\u6240\u306b\u3057\u304b\u3044\u306a\u3044\n   }\n}\n\nenum Bool {T, F}\nenum BoolBool {TT, TF, FT, FF}\n\nabstract sig Constrain{\n   by: one Person,\n   who: one Person\n}\n\n\nsig is_honest extends Constrain {}\nsig is_visit extends Constrain {\n   when: Time,\n   where: Place\n}\n\npred satisfy(cs: Constrain, a, b, c: BoolBool){\n   let\n      bb = (A -> a) + (B -> b) + (C -> c),\n      b0 = bb.(TT -> T + TF -> T + FT -> F + FF -> F),\n      b1 = bb.(TT -> T + TF -> F + FT -> T + FF -> F)\n   {\n      \/\/ b0: Person -> Bool \/\/ \u6b63\u76f4T \u5618\u3092\u3064\u304f\u304b\u3082\u3057\u308c\u306a\u3044\u4eba\n      \/\/ b1: Person -> Bool \/\/ \u72af\u4ebaT\n      \/\/ \u6b63\u76f4\u8005\u306e\u4eba\u6570\u306f1\u4eba\n      #{b0.T} = 2\n      \/\/ \u72af\u4eba\u306f1\u4eba\n      #{b1.T} = 1\n\n      \/\/ \u3059\u3079\u3066\u306e\u6b63\u76f4\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5bfe\u8c61\u3082\u6b63\u76f4\n      all c: cs & is_honest{\n\t (c.by.b0 = T) => (c.who.b0 = T)\n      }\n      \/\/ \u3059\u3079\u3066\u306e\u76ee\u6483\u60c5\u5831\u306b\u3064\u3044\u3066\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\n      all c: cs & is_visit{\n\t (c.by.b0 = T) => {\n\t    let t = c.when {\n\t       t.visit[c.who] = c.where \/\/ \u305d\u306e\u6642\u523b\u306b\u305d\u3053\u306b\u3044\u308b\n\t    }\n\t }\n      }\n   }\n}\n\nfact {\n   \/\/ \u4eba\u306e\u79fb\u52d5\u306b\u95a2\u3059\u308b\u5236\u7d04\n   all t: Time - first, p: Person {\n      t.visit[p] = t.prev.visit[p] \/\/ \u540c\u3058\u4f4d\u7f6e\u306b\u3068\u3069\u307e\u308b\n      or t.visit[p] = Nowhere or t.prev.visit[p] = Nowhere\n   }\n}\n\nrun {\n   let answers = {\n      a, b, c: BoolBool |\n    \t satisfy[Constrain, a, b, c]}\n   {\n\tsome answers\n\/\/      one answers\n\/*\n      all x: Constrain {\n\t not one {\n\t    a, b, c: BoolBool |\n\t       satisfy[Constrain - x, a, b, c]\n\t }\n      }\n*\/\n   }\n} for 3 Place, 3 Time, 20 Constrain\n","old_contents":"open util\/ordering[Time]\nenum Person {A, B, C}\nsig Place {}\none sig Nowhere extends Place {}\nsig Time {\n   visit: Person -> Place\n}\nfact {\n   all t: Time, p: Person {\n      one t.visit[p] \/\/ \u4eba\u306f\u4e00\u5ea6\u306b\u4e00\u7b87\u6240\u306b\u3057\u304b\u3044\u306a\u3044\n   }\n}\n\nenum Bool {T, F}\nenum BoolBool {TT, TF, FT, FF}\n\nabstract sig Constrain{\n   by: one Person,\n   who: one Person\n}\n\n\nsig is_honest extends Constrain {}\nsig is_visit extends Constrain {\n   when: Time,\n   where: Place\n}\n\npred satisfy(cs: Constrain, a, b, c: BoolBool){\n   let\n      bb = (A -> a) + (B -> b) + (C -> c),\n      b0 = bb.(TT -> T + TF -> T + FT -> F + FF -> F),\n      b1 = bb.(TT -> T + TF -> F + FT -> T + FF -> F)\n   {\n      \/\/ b0: Person -> Bool \/\/ \u6b63\u76f4T \u5618\u3092\u3064\u304f\u304b\u3082\u3057\u308c\u306a\u3044\u4eba\n      \/\/ b1: Person -> Bool \/\/ \u72af\u4ebaT\n      \/\/ \u6b63\u76f4\u8005\u306e\u4eba\u6570\u306f1\u4eba\n      \/\/#{b0.T} = 1\n      \/\/ \u72af\u4eba\u306f1\u4eba\n      #{b1.T} = 1\n\n      \/\/ \u3059\u3079\u3066\u306e\u6b63\u76f4\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5bfe\u8c61\u3082\u6b63\u76f4\n      all c: cs & is_honest{\n\t (c.by.b0 = T) => (c.who.b0 = T)\n      }\n      \/\/ \u3059\u3079\u3066\u306e\u76ee\u6483\u60c5\u5831\u306b\u3064\u3044\u3066\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\n      all c: cs & is_visit{\n\t (c.by.b0 = T) => {\n\t    let t = c.when {\n\t       t.visit[c.who] = c.where \/\/ \u305d\u306e\u6642\u523b\u306b\u305d\u3053\u306b\u3044\u308b\n\t    }\n\t }\n      }\n   }\n}\n\nfact {\n   \/\/ \u4eba\u306e\u79fb\u52d5\u306b\u95a2\u3059\u308b\u5236\u7d04\n   all t: Time - first, p: Person {\n      t.visit[p] = t.prev.visit[p] \/\/ \u540c\u3058\u4f4d\u7f6e\u306b\u3068\u3069\u307e\u308b\n      or t.visit[p] = Nowhere or t.prev.visit[p] = Nowhere\n   }\n}\n\nrun {\n   let answers = {\n      a, b, c: BoolBool |\n    \t satisfy[Constrain, a, b, c]}\n   {\n\/\/\tsome answers\n      one answers\n\/*\n      all x: Constrain {\n\t not one {\n\t    a, b, c: BoolBool |\n\t       satisfy[Constrain - x, a, b, c]\n\t }\n      }\n*\/\n   }\n} for 3 Place, 3 Time, 20 Constrain\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"372e179941b33c2ad76924e87e0333c4dd80dc95","subject":"birth","message":"birth\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}{\n\tall t: Time | one state.t\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t\/\/ marriage\n\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\tor\n\t\t\/\/ divorce\n\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 4 Person, 4 Time\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'etude17.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"861a796017832c98034d685a8ed711d0d291a35f","subject":"illust","message":"illust\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illustlogic.als","new_file":"illustlogic.als","new_contents":"\/\/ Illust Logic\nabstract sig Cell {\n  color: Color,\n  hnext: lone Cell,\n  vnext: lone Cell\n}\n\nenum Color {Black, White}\n\nfun range(start, end : Cell, r: Cell -> Cell): Cell{\n  (start + start.^r) & (end.^(~r) + end)\n}\n\npred all_black(cells : Cell, size: Int){\n  #cells = size\n  all c: cells{\n    c.color = Black\n  }\n}\n\npred all_white(cells : Cell){\n  all c: cells{\n    c.color = White\n  }\n}\n\nfun from(start: Cell, next: Cell -> Cell): Cell{\n  start + start.^next\n}\n\none sig Cell_0_0 extends Cell {}\none sig Cell_0_1 extends Cell {}\none sig Cell_0_2 extends Cell {}\none sig Cell_0_3 extends Cell {}\none sig Cell_0_4 extends Cell {}\none sig Cell_0_5 extends Cell {}\none sig Cell_0_6 extends Cell {}\none sig Cell_0_7 extends Cell {}\none sig Cell_0_8 extends Cell {}\none sig Cell_0_9 extends Cell {}\none sig Cell_1_0 extends Cell {}\none sig Cell_1_1 extends Cell {}\none sig Cell_1_2 extends Cell {}\none sig Cell_1_3 extends Cell {}\none sig Cell_1_4 extends Cell {}\none sig Cell_1_5 extends Cell {}\none sig Cell_1_6 extends Cell {}\none sig Cell_1_7 extends Cell {}\none sig Cell_1_8 extends Cell {}\none sig Cell_1_9 extends Cell {}\none sig Cell_2_0 extends Cell {}\none sig Cell_2_1 extends Cell {}\none sig Cell_2_2 extends Cell {}\none sig Cell_2_3 extends Cell {}\none sig Cell_2_4 extends Cell {}\none sig Cell_2_5 extends Cell {}\none sig Cell_2_6 extends Cell {}\none sig Cell_2_7 extends Cell {}\none sig Cell_2_8 extends Cell {}\none sig Cell_2_9 extends Cell {}\none sig Cell_3_0 extends Cell {}\none sig Cell_3_1 extends Cell {}\none sig Cell_3_2 extends Cell {}\none sig Cell_3_3 extends Cell {}\none sig Cell_3_4 extends Cell {}\none sig Cell_3_5 extends Cell {}\none sig Cell_3_6 extends Cell {}\none sig Cell_3_7 extends Cell {}\none sig Cell_3_8 extends Cell {}\none sig Cell_3_9 extends Cell {}\none sig Cell_4_0 extends Cell {}\none sig Cell_4_1 extends Cell {}\none sig Cell_4_2 extends Cell {}\none sig Cell_4_3 extends Cell {}\none sig Cell_4_4 extends Cell {}\none sig Cell_4_5 extends Cell {}\none sig Cell_4_6 extends Cell {}\none sig Cell_4_7 extends Cell {}\none sig Cell_4_8 extends Cell {}\none sig Cell_4_9 extends Cell {}\none sig Cell_5_0 extends Cell {}\none sig Cell_5_1 extends Cell {}\none sig Cell_5_2 extends Cell {}\none sig Cell_5_3 extends Cell {}\none sig Cell_5_4 extends Cell {}\none sig Cell_5_5 extends Cell {}\none sig Cell_5_6 extends Cell {}\none sig Cell_5_7 extends Cell {}\none sig Cell_5_8 extends Cell {}\none sig Cell_5_9 extends Cell {}\none sig Cell_6_0 extends Cell {}\none sig Cell_6_1 extends Cell {}\none sig Cell_6_2 extends Cell {}\none sig Cell_6_3 extends Cell {}\none sig Cell_6_4 extends Cell {}\none sig Cell_6_5 extends Cell {}\none sig Cell_6_6 extends Cell {}\none sig Cell_6_7 extends Cell {}\none sig Cell_6_8 extends Cell {}\none sig Cell_6_9 extends Cell {}\none sig Cell_7_0 extends Cell {}\none sig Cell_7_1 extends Cell {}\none sig Cell_7_2 extends Cell {}\none sig Cell_7_3 extends Cell {}\none sig Cell_7_4 extends Cell {}\none sig Cell_7_5 extends Cell {}\none sig Cell_7_6 extends Cell {}\none sig Cell_7_7 extends Cell {}\none sig Cell_7_8 extends Cell {}\none sig Cell_7_9 extends Cell {}\none sig Cell_8_0 extends Cell {}\none sig Cell_8_1 extends Cell {}\none sig Cell_8_2 extends Cell {}\none sig Cell_8_3 extends Cell {}\none sig Cell_8_4 extends Cell {}\none sig Cell_8_5 extends Cell {}\none sig Cell_8_6 extends Cell {}\none sig Cell_8_7 extends Cell {}\none sig Cell_8_8 extends Cell {}\none sig Cell_8_9 extends Cell {}\none sig Cell_9_0 extends Cell {}\none sig Cell_9_1 extends Cell {}\none sig Cell_9_2 extends Cell {}\none sig Cell_9_3 extends Cell {}\none sig Cell_9_4 extends Cell {}\none sig Cell_9_5 extends Cell {}\none sig Cell_9_6 extends Cell {}\none sig Cell_9_7 extends Cell {}\none sig Cell_9_8 extends Cell {}\none sig Cell_9_9 extends Cell {}\nfact matrix_adj {\n  Cell_0_0.vnext = Cell_0_1\n  Cell_0_1.vnext = Cell_0_2\n  Cell_0_2.vnext = Cell_0_3\n  Cell_0_3.vnext = Cell_0_4\n  Cell_0_4.vnext = Cell_0_5\n  Cell_0_5.vnext = Cell_0_6\n  Cell_0_6.vnext = Cell_0_7\n  Cell_0_7.vnext = Cell_0_8\n  Cell_0_8.vnext = Cell_0_9\n  no Cell_0_9.vnext\n  Cell_1_0.vnext = Cell_1_1\n  Cell_1_1.vnext = Cell_1_2\n  Cell_1_2.vnext = Cell_1_3\n  Cell_1_3.vnext = Cell_1_4\n  Cell_1_4.vnext = Cell_1_5\n  Cell_1_5.vnext = Cell_1_6\n  Cell_1_6.vnext = Cell_1_7\n  Cell_1_7.vnext = Cell_1_8\n  Cell_1_8.vnext = Cell_1_9\n  no Cell_1_9.vnext\n  Cell_2_0.vnext = Cell_2_1\n  Cell_2_1.vnext = Cell_2_2\n  Cell_2_2.vnext = Cell_2_3\n  Cell_2_3.vnext = Cell_2_4\n  Cell_2_4.vnext = Cell_2_5\n  Cell_2_5.vnext = Cell_2_6\n  Cell_2_6.vnext = Cell_2_7\n  Cell_2_7.vnext = Cell_2_8\n  Cell_2_8.vnext = Cell_2_9\n  no Cell_2_9.vnext\n  Cell_3_0.vnext = Cell_3_1\n  Cell_3_1.vnext = Cell_3_2\n  Cell_3_2.vnext = Cell_3_3\n  Cell_3_3.vnext = Cell_3_4\n  Cell_3_4.vnext = Cell_3_5\n  Cell_3_5.vnext = Cell_3_6\n  Cell_3_6.vnext = Cell_3_7\n  Cell_3_7.vnext = Cell_3_8\n  Cell_3_8.vnext = Cell_3_9\n  no Cell_3_9.vnext\n  Cell_4_0.vnext = Cell_4_1\n  Cell_4_1.vnext = Cell_4_2\n  Cell_4_2.vnext = Cell_4_3\n  Cell_4_3.vnext = Cell_4_4\n  Cell_4_4.vnext = Cell_4_5\n  Cell_4_5.vnext = Cell_4_6\n  Cell_4_6.vnext = Cell_4_7\n  Cell_4_7.vnext = Cell_4_8\n  Cell_4_8.vnext = Cell_4_9\n  no Cell_4_9.vnext\n  Cell_5_0.vnext = Cell_5_1\n  Cell_5_1.vnext = Cell_5_2\n  Cell_5_2.vnext = Cell_5_3\n  Cell_5_3.vnext = Cell_5_4\n  Cell_5_4.vnext = Cell_5_5\n  Cell_5_5.vnext = Cell_5_6\n  Cell_5_6.vnext = Cell_5_7\n  Cell_5_7.vnext = Cell_5_8\n  Cell_5_8.vnext = Cell_5_9\n  no Cell_5_9.vnext\n  Cell_6_0.vnext = Cell_6_1\n  Cell_6_1.vnext = Cell_6_2\n  Cell_6_2.vnext = Cell_6_3\n  Cell_6_3.vnext = Cell_6_4\n  Cell_6_4.vnext = Cell_6_5\n  Cell_6_5.vnext = Cell_6_6\n  Cell_6_6.vnext = Cell_6_7\n  Cell_6_7.vnext = Cell_6_8\n  Cell_6_8.vnext = Cell_6_9\n  no Cell_6_9.vnext\n  Cell_7_0.vnext = Cell_7_1\n  Cell_7_1.vnext = Cell_7_2\n  Cell_7_2.vnext = Cell_7_3\n  Cell_7_3.vnext = Cell_7_4\n  Cell_7_4.vnext = Cell_7_5\n  Cell_7_5.vnext = Cell_7_6\n  Cell_7_6.vnext = Cell_7_7\n  Cell_7_7.vnext = Cell_7_8\n  Cell_7_8.vnext = Cell_7_9\n  no Cell_7_9.vnext\n  Cell_8_0.vnext = Cell_8_1\n  Cell_8_1.vnext = Cell_8_2\n  Cell_8_2.vnext = Cell_8_3\n  Cell_8_3.vnext = Cell_8_4\n  Cell_8_4.vnext = Cell_8_5\n  Cell_8_5.vnext = Cell_8_6\n  Cell_8_6.vnext = Cell_8_7\n  Cell_8_7.vnext = Cell_8_8\n  Cell_8_8.vnext = Cell_8_9\n  no Cell_8_9.vnext\n  Cell_9_0.vnext = Cell_9_1\n  Cell_9_1.vnext = Cell_9_2\n  Cell_9_2.vnext = Cell_9_3\n  Cell_9_3.vnext = Cell_9_4\n  Cell_9_4.vnext = Cell_9_5\n  Cell_9_5.vnext = Cell_9_6\n  Cell_9_6.vnext = Cell_9_7\n  Cell_9_7.vnext = Cell_9_8\n  Cell_9_8.vnext = Cell_9_9\n  no Cell_9_9.vnext\n  Cell_0_0.hnext = Cell_1_0\n  Cell_1_0.hnext = Cell_2_0\n  Cell_2_0.hnext = Cell_3_0\n  Cell_3_0.hnext = Cell_4_0\n  Cell_4_0.hnext = Cell_5_0\n  Cell_5_0.hnext = Cell_6_0\n  Cell_6_0.hnext = Cell_7_0\n  Cell_7_0.hnext = Cell_8_0\n  Cell_8_0.hnext = Cell_9_0\n  no Cell_9_0.hnext\n  Cell_0_1.hnext = Cell_1_1\n  Cell_1_1.hnext = Cell_2_1\n  Cell_2_1.hnext = Cell_3_1\n  Cell_3_1.hnext = Cell_4_1\n  Cell_4_1.hnext = Cell_5_1\n  Cell_5_1.hnext = Cell_6_1\n  Cell_6_1.hnext = Cell_7_1\n  Cell_7_1.hnext = Cell_8_1\n  Cell_8_1.hnext = Cell_9_1\n  no Cell_9_1.hnext\n  Cell_0_2.hnext = Cell_1_2\n  Cell_1_2.hnext = Cell_2_2\n  Cell_2_2.hnext = Cell_3_2\n  Cell_3_2.hnext = Cell_4_2\n  Cell_4_2.hnext = Cell_5_2\n  Cell_5_2.hnext = Cell_6_2\n  Cell_6_2.hnext = Cell_7_2\n  Cell_7_2.hnext = Cell_8_2\n  Cell_8_2.hnext = Cell_9_2\n  no Cell_9_2.hnext\n  Cell_0_3.hnext = Cell_1_3\n  Cell_1_3.hnext = Cell_2_3\n  Cell_2_3.hnext = Cell_3_3\n  Cell_3_3.hnext = Cell_4_3\n  Cell_4_3.hnext = Cell_5_3\n  Cell_5_3.hnext = Cell_6_3\n  Cell_6_3.hnext = Cell_7_3\n  Cell_7_3.hnext = Cell_8_3\n  Cell_8_3.hnext = Cell_9_3\n  no Cell_9_3.hnext\n  Cell_0_4.hnext = Cell_1_4\n  Cell_1_4.hnext = Cell_2_4\n  Cell_2_4.hnext = Cell_3_4\n  Cell_3_4.hnext = Cell_4_4\n  Cell_4_4.hnext = Cell_5_4\n  Cell_5_4.hnext = Cell_6_4\n  Cell_6_4.hnext = Cell_7_4\n  Cell_7_4.hnext = Cell_8_4\n  Cell_8_4.hnext = Cell_9_4\n  no Cell_9_4.hnext\n  Cell_0_5.hnext = Cell_1_5\n  Cell_1_5.hnext = Cell_2_5\n  Cell_2_5.hnext = Cell_3_5\n  Cell_3_5.hnext = Cell_4_5\n  Cell_4_5.hnext = Cell_5_5\n  Cell_5_5.hnext = Cell_6_5\n  Cell_6_5.hnext = Cell_7_5\n  Cell_7_5.hnext = Cell_8_5\n  Cell_8_5.hnext = Cell_9_5\n  no Cell_9_5.hnext\n  Cell_0_6.hnext = Cell_1_6\n  Cell_1_6.hnext = Cell_2_6\n  Cell_2_6.hnext = Cell_3_6\n  Cell_3_6.hnext = Cell_4_6\n  Cell_4_6.hnext = Cell_5_6\n  Cell_5_6.hnext = Cell_6_6\n  Cell_6_6.hnext = Cell_7_6\n  Cell_7_6.hnext = Cell_8_6\n  Cell_8_6.hnext = Cell_9_6\n  no Cell_9_6.hnext\n  Cell_0_7.hnext = Cell_1_7\n  Cell_1_7.hnext = Cell_2_7\n  Cell_2_7.hnext = Cell_3_7\n  Cell_3_7.hnext = Cell_4_7\n  Cell_4_7.hnext = Cell_5_7\n  Cell_5_7.hnext = Cell_6_7\n  Cell_6_7.hnext = Cell_7_7\n  Cell_7_7.hnext = Cell_8_7\n  Cell_8_7.hnext = Cell_9_7\n  no Cell_9_7.hnext\n  Cell_0_8.hnext = Cell_1_8\n  Cell_1_8.hnext = Cell_2_8\n  Cell_2_8.hnext = Cell_3_8\n  Cell_3_8.hnext = Cell_4_8\n  Cell_4_8.hnext = Cell_5_8\n  Cell_5_8.hnext = Cell_6_8\n  Cell_6_8.hnext = Cell_7_8\n  Cell_7_8.hnext = Cell_8_8\n  Cell_8_8.hnext = Cell_9_8\n  no Cell_9_8.hnext\n  Cell_0_9.hnext = Cell_1_9\n  Cell_1_9.hnext = Cell_2_9\n  Cell_2_9.hnext = Cell_3_9\n  Cell_3_9.hnext = Cell_4_9\n  Cell_4_9.hnext = Cell_5_9\n  Cell_5_9.hnext = Cell_6_9\n  Cell_6_9.hnext = Cell_7_9\n  Cell_7_9.hnext = Cell_8_9\n  Cell_8_9.hnext = Cell_9_9\n  no Cell_9_9.hnext\n}\nfact {\n  let next = hnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_1, next] {\n      all_white[range[from[Cell_0_1, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 2]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_2, next] {\n      all_white[range[from[Cell_0_2, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 1]\n            some c1: c2.next.^next {\n              all_white[range[c2.next.^next, c1.~next, next]]\n              some c2: c1.^next {\n                all_black[range[c1, c2, next], 1]\n                all_white[c2.^next]\n              }\n            }\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_3, next] {\n      all_white[range[from[Cell_0_3, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 3]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_4, next] {\n      all_white[range[from[Cell_0_4, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_5, next] {\n      all_white[range[from[Cell_0_5, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_6, next] {\n      all_white[range[from[Cell_0_6, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_7, next] {\n      all_white[range[from[Cell_0_7, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_8, next] {\n      all_white[range[from[Cell_0_8, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_9, next] {\n      all_white[range[from[Cell_0_9, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n  }\n  let next = vnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 4]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_1_0, next] {\n      all_white[range[from[Cell_1_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 6]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_2_0, next] {\n      all_white[range[from[Cell_2_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_3_0, next] {\n      all_white[range[from[Cell_3_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 9]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_4_0, next] {\n      all_white[range[from[Cell_4_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 7]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_5_0, next] {\n      all_white[range[from[Cell_5_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 6]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_6_0, next] {\n      all_white[range[from[Cell_6_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 4]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_7_0, next] {\n      all_white[range[from[Cell_7_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_8_0, next] {\n      all_white[range[from[Cell_8_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_9_0, next] {\n      all_white[range[from[Cell_9_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        all_white[c2.^next]\n      }\n    }\n  }\n}\nrun{} for 1 but 5 int\n","old_contents":"\/\/ Illust Logic\nabstract sig Cell {\n  color: Color,\n  hnext: lone Cell,\n  vnext: lone Cell\n}\n\nenum Color {Black, White}\n\nfun range(start, end : Cell, r: Cell -> Cell): Cell{\n  (start + start.^r) & (end.^(~r) + end)\n}\n\npred all_black(cells : Cell, size: Int){\n  #cells = size\n  all c: cells{\n    c.color = Black\n  }\n}\n\npred all_white(cells : Cell){\n  all c: cells{\n    c.color = White\n  }\n}\n\nfun from(start: Cell, next: Cell -> Cell): Cell{\n  start + start.^next\n}\n\none sig Cell_0_0 extends Cell {}\none sig Cell_0_1 extends Cell {}\none sig Cell_0_2 extends Cell {}\none sig Cell_0_3 extends Cell {}\none sig Cell_0_4 extends Cell {}\none sig Cell_0_5 extends Cell {}\none sig Cell_0_6 extends Cell {}\none sig Cell_0_7 extends Cell {}\none sig Cell_0_8 extends Cell {}\none sig Cell_0_9 extends Cell {}\none sig Cell_1_0 extends Cell {}\none sig Cell_1_1 extends Cell {}\none sig Cell_1_2 extends Cell {}\none sig Cell_1_3 extends Cell {}\none sig Cell_1_4 extends Cell {}\none sig Cell_1_5 extends Cell {}\none sig Cell_1_6 extends Cell {}\none sig Cell_1_7 extends Cell {}\none sig Cell_1_8 extends Cell {}\none sig Cell_1_9 extends Cell {}\none sig Cell_2_0 extends Cell {}\none sig Cell_2_1 extends Cell {}\none sig Cell_2_2 extends Cell {}\none sig Cell_2_3 extends Cell {}\none sig Cell_2_4 extends Cell {}\none sig Cell_2_5 extends Cell {}\none sig Cell_2_6 extends Cell {}\none sig Cell_2_7 extends Cell {}\none sig Cell_2_8 extends Cell {}\none sig Cell_2_9 extends Cell {}\none sig Cell_3_0 extends Cell {}\none sig Cell_3_1 extends Cell {}\none sig Cell_3_2 extends Cell {}\none sig Cell_3_3 extends Cell {}\none sig Cell_3_4 extends Cell {}\none sig Cell_3_5 extends Cell {}\none sig Cell_3_6 extends Cell {}\none sig Cell_3_7 extends Cell {}\none sig Cell_3_8 extends Cell {}\none sig Cell_3_9 extends Cell {}\none sig Cell_4_0 extends Cell {}\none sig Cell_4_1 extends Cell {}\none sig Cell_4_2 extends Cell {}\none sig Cell_4_3 extends Cell {}\none sig Cell_4_4 extends Cell {}\none sig Cell_4_5 extends Cell {}\none sig Cell_4_6 extends Cell {}\none sig Cell_4_7 extends Cell {}\none sig Cell_4_8 extends Cell {}\none sig Cell_4_9 extends Cell {}\none sig Cell_5_0 extends Cell {}\none sig Cell_5_1 extends Cell {}\none sig Cell_5_2 extends Cell {}\none sig Cell_5_3 extends Cell {}\none sig Cell_5_4 extends Cell {}\none sig Cell_5_5 extends Cell {}\none sig Cell_5_6 extends Cell {}\none sig Cell_5_7 extends Cell {}\none sig Cell_5_8 extends Cell {}\none sig Cell_5_9 extends Cell {}\none sig Cell_6_0 extends Cell {}\none sig Cell_6_1 extends Cell {}\none sig Cell_6_2 extends Cell {}\none sig Cell_6_3 extends Cell {}\none sig Cell_6_4 extends Cell {}\none sig Cell_6_5 extends Cell {}\none sig Cell_6_6 extends Cell {}\none sig Cell_6_7 extends Cell {}\none sig Cell_6_8 extends Cell {}\none sig Cell_6_9 extends Cell {}\none sig Cell_7_0 extends Cell {}\none sig Cell_7_1 extends Cell {}\none sig Cell_7_2 extends Cell {}\none sig Cell_7_3 extends Cell {}\none sig Cell_7_4 extends Cell {}\none sig Cell_7_5 extends Cell {}\none sig Cell_7_6 extends Cell {}\none sig Cell_7_7 extends Cell {}\none sig Cell_7_8 extends Cell {}\none sig Cell_7_9 extends Cell {}\none sig Cell_8_0 extends Cell {}\none sig Cell_8_1 extends Cell {}\none sig Cell_8_2 extends Cell {}\none sig Cell_8_3 extends Cell {}\none sig Cell_8_4 extends Cell {}\none sig Cell_8_5 extends Cell {}\none sig Cell_8_6 extends Cell {}\none sig Cell_8_7 extends Cell {}\none sig Cell_8_8 extends Cell {}\none sig Cell_8_9 extends Cell {}\none sig Cell_9_0 extends Cell {}\none sig Cell_9_1 extends Cell {}\none sig Cell_9_2 extends Cell {}\none sig Cell_9_3 extends Cell {}\none sig Cell_9_4 extends Cell {}\none sig Cell_9_5 extends Cell {}\none sig Cell_9_6 extends Cell {}\none sig Cell_9_7 extends Cell {}\none sig Cell_9_8 extends Cell {}\none sig Cell_9_9 extends Cell {}\nfact matrix_adj {\n  Cell_0_0.vnext = Cell_0_1\n  Cell_0_1.vnext = Cell_0_2\n  Cell_0_2.vnext = Cell_0_3\n  Cell_0_3.vnext = Cell_0_4\n  Cell_0_4.vnext = Cell_0_5\n  Cell_0_5.vnext = Cell_0_6\n  Cell_0_6.vnext = Cell_0_7\n  Cell_0_7.vnext = Cell_0_8\n  Cell_0_8.vnext = Cell_0_9\n  no Cell_0_9.vnext\n  Cell_1_0.vnext = Cell_1_1\n  Cell_1_1.vnext = Cell_1_2\n  Cell_1_2.vnext = Cell_1_3\n  Cell_1_3.vnext = Cell_1_4\n  Cell_1_4.vnext = Cell_1_5\n  Cell_1_5.vnext = Cell_1_6\n  Cell_1_6.vnext = Cell_1_7\n  Cell_1_7.vnext = Cell_1_8\n  Cell_1_8.vnext = Cell_1_9\n  no Cell_1_9.vnext\n  Cell_2_0.vnext = Cell_2_1\n  Cell_2_1.vnext = Cell_2_2\n  Cell_2_2.vnext = Cell_2_3\n  Cell_2_3.vnext = Cell_2_4\n  Cell_2_4.vnext = Cell_2_5\n  Cell_2_5.vnext = Cell_2_6\n  Cell_2_6.vnext = Cell_2_7\n  Cell_2_7.vnext = Cell_2_8\n  Cell_2_8.vnext = Cell_2_9\n  no Cell_2_9.vnext\n  Cell_3_0.vnext = Cell_3_1\n  Cell_3_1.vnext = Cell_3_2\n  Cell_3_2.vnext = Cell_3_3\n  Cell_3_3.vnext = Cell_3_4\n  Cell_3_4.vnext = Cell_3_5\n  Cell_3_5.vnext = Cell_3_6\n  Cell_3_6.vnext = Cell_3_7\n  Cell_3_7.vnext = Cell_3_8\n  Cell_3_8.vnext = Cell_3_9\n  no Cell_3_9.vnext\n  Cell_4_0.vnext = Cell_4_1\n  Cell_4_1.vnext = Cell_4_2\n  Cell_4_2.vnext = Cell_4_3\n  Cell_4_3.vnext = Cell_4_4\n  Cell_4_4.vnext = Cell_4_5\n  Cell_4_5.vnext = Cell_4_6\n  Cell_4_6.vnext = Cell_4_7\n  Cell_4_7.vnext = Cell_4_8\n  Cell_4_8.vnext = Cell_4_9\n  no Cell_4_9.vnext\n  Cell_5_0.vnext = Cell_5_1\n  Cell_5_1.vnext = Cell_5_2\n  Cell_5_2.vnext = Cell_5_3\n  Cell_5_3.vnext = Cell_5_4\n  Cell_5_4.vnext = Cell_5_5\n  Cell_5_5.vnext = Cell_5_6\n  Cell_5_6.vnext = Cell_5_7\n  Cell_5_7.vnext = Cell_5_8\n  Cell_5_8.vnext = Cell_5_9\n  no Cell_5_9.vnext\n  Cell_6_0.vnext = Cell_6_1\n  Cell_6_1.vnext = Cell_6_2\n  Cell_6_2.vnext = Cell_6_3\n  Cell_6_3.vnext = Cell_6_4\n  Cell_6_4.vnext = Cell_6_5\n  Cell_6_5.vnext = Cell_6_6\n  Cell_6_6.vnext = Cell_6_7\n  Cell_6_7.vnext = Cell_6_8\n  Cell_6_8.vnext = Cell_6_9\n  no Cell_6_9.vnext\n  Cell_7_0.vnext = Cell_7_1\n  Cell_7_1.vnext = Cell_7_2\n  Cell_7_2.vnext = Cell_7_3\n  Cell_7_3.vnext = Cell_7_4\n  Cell_7_4.vnext = Cell_7_5\n  Cell_7_5.vnext = Cell_7_6\n  Cell_7_6.vnext = Cell_7_7\n  Cell_7_7.vnext = Cell_7_8\n  Cell_7_8.vnext = Cell_7_9\n  no Cell_7_9.vnext\n  Cell_8_0.vnext = Cell_8_1\n  Cell_8_1.vnext = Cell_8_2\n  Cell_8_2.vnext = Cell_8_3\n  Cell_8_3.vnext = Cell_8_4\n  Cell_8_4.vnext = Cell_8_5\n  Cell_8_5.vnext = Cell_8_6\n  Cell_8_6.vnext = Cell_8_7\n  Cell_8_7.vnext = Cell_8_8\n  Cell_8_8.vnext = Cell_8_9\n  no Cell_8_9.vnext\n  Cell_9_0.vnext = Cell_9_1\n  Cell_9_1.vnext = Cell_9_2\n  Cell_9_2.vnext = Cell_9_3\n  Cell_9_3.vnext = Cell_9_4\n  Cell_9_4.vnext = Cell_9_5\n  Cell_9_5.vnext = Cell_9_6\n  Cell_9_6.vnext = Cell_9_7\n  Cell_9_7.vnext = Cell_9_8\n  Cell_9_8.vnext = Cell_9_9\n  no Cell_9_9.vnext\n  Cell_0_0.hnext = Cell_1_0\n  Cell_1_0.hnext = Cell_2_0\n  Cell_2_0.hnext = Cell_3_0\n  Cell_3_0.hnext = Cell_4_0\n  Cell_4_0.hnext = Cell_5_0\n  Cell_5_0.hnext = Cell_6_0\n  Cell_6_0.hnext = Cell_7_0\n  Cell_7_0.hnext = Cell_8_0\n  Cell_8_0.hnext = Cell_9_0\n  no Cell_9_0.hnext\n  Cell_0_1.hnext = Cell_1_1\n  Cell_1_1.hnext = Cell_2_1\n  Cell_2_1.hnext = Cell_3_1\n  Cell_3_1.hnext = Cell_4_1\n  Cell_4_1.hnext = Cell_5_1\n  Cell_5_1.hnext = Cell_6_1\n  Cell_6_1.hnext = Cell_7_1\n  Cell_7_1.hnext = Cell_8_1\n  Cell_8_1.hnext = Cell_9_1\n  no Cell_9_1.hnext\n  Cell_0_2.hnext = Cell_1_2\n  Cell_1_2.hnext = Cell_2_2\n  Cell_2_2.hnext = Cell_3_2\n  Cell_3_2.hnext = Cell_4_2\n  Cell_4_2.hnext = Cell_5_2\n  Cell_5_2.hnext = Cell_6_2\n  Cell_6_2.hnext = Cell_7_2\n  Cell_7_2.hnext = Cell_8_2\n  Cell_8_2.hnext = Cell_9_2\n  no Cell_9_2.hnext\n  Cell_0_3.hnext = Cell_1_3\n  Cell_1_3.hnext = Cell_2_3\n  Cell_2_3.hnext = Cell_3_3\n  Cell_3_3.hnext = Cell_4_3\n  Cell_4_3.hnext = Cell_5_3\n  Cell_5_3.hnext = Cell_6_3\n  Cell_6_3.hnext = Cell_7_3\n  Cell_7_3.hnext = Cell_8_3\n  Cell_8_3.hnext = Cell_9_3\n  no Cell_9_3.hnext\n  Cell_0_4.hnext = Cell_1_4\n  Cell_1_4.hnext = Cell_2_4\n  Cell_2_4.hnext = Cell_3_4\n  Cell_3_4.hnext = Cell_4_4\n  Cell_4_4.hnext = Cell_5_4\n  Cell_5_4.hnext = Cell_6_4\n  Cell_6_4.hnext = Cell_7_4\n  Cell_7_4.hnext = Cell_8_4\n  Cell_8_4.hnext = Cell_9_4\n  no Cell_9_4.hnext\n  Cell_0_5.hnext = Cell_1_5\n  Cell_1_5.hnext = Cell_2_5\n  Cell_2_5.hnext = Cell_3_5\n  Cell_3_5.hnext = Cell_4_5\n  Cell_4_5.hnext = Cell_5_5\n  Cell_5_5.hnext = Cell_6_5\n  Cell_6_5.hnext = Cell_7_5\n  Cell_7_5.hnext = Cell_8_5\n  Cell_8_5.hnext = Cell_9_5\n  no Cell_9_5.hnext\n  Cell_0_6.hnext = Cell_1_6\n  Cell_1_6.hnext = Cell_2_6\n  Cell_2_6.hnext = Cell_3_6\n  Cell_3_6.hnext = Cell_4_6\n  Cell_4_6.hnext = Cell_5_6\n  Cell_5_6.hnext = Cell_6_6\n  Cell_6_6.hnext = Cell_7_6\n  Cell_7_6.hnext = Cell_8_6\n  Cell_8_6.hnext = Cell_9_6\n  no Cell_9_6.hnext\n  Cell_0_7.hnext = Cell_1_7\n  Cell_1_7.hnext = Cell_2_7\n  Cell_2_7.hnext = Cell_3_7\n  Cell_3_7.hnext = Cell_4_7\n  Cell_4_7.hnext = Cell_5_7\n  Cell_5_7.hnext = Cell_6_7\n  Cell_6_7.hnext = Cell_7_7\n  Cell_7_7.hnext = Cell_8_7\n  Cell_8_7.hnext = Cell_9_7\n  no Cell_9_7.hnext\n  Cell_0_8.hnext = Cell_1_8\n  Cell_1_8.hnext = Cell_2_8\n  Cell_2_8.hnext = Cell_3_8\n  Cell_3_8.hnext = Cell_4_8\n  Cell_4_8.hnext = Cell_5_8\n  Cell_5_8.hnext = Cell_6_8\n  Cell_6_8.hnext = Cell_7_8\n  Cell_7_8.hnext = Cell_8_8\n  Cell_8_8.hnext = Cell_9_8\n  no Cell_9_8.hnext\n  Cell_0_9.hnext = Cell_1_9\n  Cell_1_9.hnext = Cell_2_9\n  Cell_2_9.hnext = Cell_3_9\n  Cell_3_9.hnext = Cell_4_9\n  Cell_4_9.hnext = Cell_5_9\n  Cell_5_9.hnext = Cell_6_9\n  Cell_6_9.hnext = Cell_7_9\n  Cell_7_9.hnext = Cell_8_9\n  Cell_8_9.hnext = Cell_9_9\n  no Cell_9_9.hnext\n}\nfact {\n  let next = hnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_1, next] {\n      all_white[range[from[Cell_0_1, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 2]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_2, next] {\n      all_white[range[from[Cell_0_2, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 1]\n            some c1: c2.next.^next {\n              all_white[range[c2.next.^next, c1.~next, next]]\n              some c2: c1.^next {\n                all_black[range[c1, c2, next], 1]\n                all_white[c2.^next]\n              }\n            }\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_3, next] {\n      all_white[range[from[Cell_0_3, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 3]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_0_4, next] {\n      all_white[range[from[Cell_0_4, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_5, next] {\n      all_white[range[from[Cell_0_5, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_6, next] {\n      all_white[range[from[Cell_0_6, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_7, next] {\n      all_white[range[from[Cell_0_7, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_8, next] {\n      all_white[range[from[Cell_0_8, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_0_9, next] {\n      all_white[range[from[Cell_0_9, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 5]\n        all_white[c2.^next]\n      }\n    }\n  }\n  let next = vnext {\n    some c1: from[Cell_0_0, next] {\n      all_white[range[from[Cell_0_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 4]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_1_0, next] {\n      all_white[range[from[Cell_1_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 6]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_2_0, next] {\n      all_white[range[from[Cell_2_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 7]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_3_0, next] {\n      all_white[range[from[Cell_3_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 9]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_4_0, next] {\n      all_white[range[from[Cell_4_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 7]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_5_0, next] {\n      all_white[range[from[Cell_5_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 6]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_6_0, next] {\n      all_white[range[from[Cell_6_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        some c1: c2.next.^next {\n          all_white[range[c2.next.^next, c1.~next, next]]\n          some c2: c1.^next {\n            all_black[range[c1, c2, next], 4]\n            all_white[c2.^next]\n          }\n        }\n      }\n    }\n    some c1: from[Cell_7_0, next] {\n      all_white[range[from[Cell_7_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 3]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_8_0, next] {\n      all_white[range[from[Cell_8_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 1]\n        all_white[c2.^next]\n      }\n    }\n    some c1: from[Cell_9_0, next] {\n      all_white[range[from[Cell_9_0, next], c1.~next, next]]\n      some c2: c1.^next {\n        all_black[range[c1, c2, next], 2]\n        all_white[c2.^next]\n      }\n    }\n  }\n}\nrun{} for 5 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"cb7fe5abc31c53593ed93def04b268109e55f383","subject":"Finished slashing condition [ii]","message":"Finished slashing condition [ii]\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":0,"stderr":"unknown","license":"apache-2.0","lang":"Alloy"}
{"commit":"319ef30c007ca2f0397d9901d8256c88afffe4cc","subject":"puzzle 3","message":"puzzle 3\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"make_puzzle3.als","new_file":"make_puzzle3.als","new_contents":"\nenum Person {A, B, C, D, E}\n\nenum Bool {T, F}\nenum BoolBool {TT, TF, FT, FF}\n\nabstract sig Constrain{}\n\nsig is_liar extends Constrain {\n\tby: one Person,\n\twho: one Person\n}{\n\tby not in who\n}\n\nsig is_coward extends Constrain {\n\tby: one Person,\n\twho: one Person\n}{\n\tby not in who\n}\n\npred satisfy(cs: Constrain, a, b, c, d, e: BoolBool){\n  let\n\t\tbb = (A -> a) + (B -> b) + (C -> c) + (D -> d) + (E -> e),\n\t\tb0 = bb.(TT -> T + TF -> T + FT -> F + FF -> F),\n  \tb1 = bb.(TT -> T + TF -> F + FT -> T + FF -> F)\n  {\n\t\t\/\/ b0: Person -> Bool \/\/ \u6b63\u76f4\n\t\t\/\/ b1: Person -> Bool \/\/ \u5c0f\u5fc3\n\t\t\/\/ \u5618\u3064\u304d\u306e\u4eba\u6570\u3092\u6307\u5b9a\n\t\t#{b0.F} = 2\n\t\t\/\/ \u5c0f\u5fc3\u8005\u306e\u4eba\u6570\u3092\u6307\u5b9a\n\t\t#{b1.T} = 2\n\t\t\/\/ \u5618\u3064\u304d\u5c0f\u5fc3\u8005\u306e\u4eba\u6570\u3092\u6307\u5b9a\n\t\t\/\/#{b0.F & b1.T} > 0\n\/*\n\t\tall p: b0.F & b1.T{ \/\/ \u5618\u3064\u304d\u5c0f\u5fc3\u8005\u306f2\u500b\u4ee5\u4e0a\u306e\u89e3\u7b54\u3092\u3057\u3066\u3044\u308b\n\t\t\tplus[#(is_coward <: by).p, #(is_liar <: by).p] > 1\n\t\t}\n*\/\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5618\u3064\u304d\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\tall c: cs & is_liar{\n\t\t\t(c.by.b0 = T) => (c.who.b0 = F)\n\t\t}\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5c0f\u5fc3\u8005\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\tall c: cs & is_coward{\n\t\t\t(c.by.b0 = T) => (c.who.b1 = T)\n\t\t}\n\t\t\/\/ \u3059\u3079\u3066\u306enot\u5c0f\u5fc3\u306a\u5618\u3064\u304d\u306b\u3064\u3044\u3066\n\/*\n\t\tall p: b0.F & b1.F {\n\t\t\t\/\/ \u5168\u3066\u6b63\u76f4\u3067\u306f\u306a\u3044:\n\t\t\tplus[\n\t\t\t\t#{c: (is_coward <: by).p | c.who.b1 = T}\n\t\t\t\t#{c: (is_liar <: by).p | c.who.b0 = F}\n\t\t\t] > 0\t\t\t\n\t\t}\n*\/\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5c0f\u5fc3\u306a\u5618\u3064\u304d\u306b\u3064\u3044\u3066\n\t\tall p: b0.F & b1.T {\n\t\t\t\/\/ \u4e00\u3064\u3057\u304b\u5618\u3092\u3064\u304b\u306a\u3044:\n\t\t\tplus[\n\t\t\t\t#{c: (is_coward <: by).p | c.who.b1 = F},\n\t\t\t\t#{c: (is_liar <: by).p | c.who.b0 = T}\n\t\t\t] = 1\n\t\t}\n  }\n}\n\n\nrun {\n  let answers = {\n    a, b, c, d, e: BoolBool |\n    satisfy[Constrain, a, b, c, d, e]}\n    {\n\n    one answers\n\n    all x: Constrain {\n      not one {\n        a, b, c, d, e: BoolBool |\n        satisfy[Constrain - x, a, b, c, d, e]\n      }\n    }\n\n  }\n} for exactly 10 Constrain\n","old_contents":"\nenum Person {P0, P1, P2, P3, P4}\n\n\nenum Bool {T, F}\n\n\nabstract sig Constrain{}\n\nsig is_liar extends Constrain {\n\tby: one Person,\n\twho: one Person\n}{\n\tby not in who\n}\n\nsig is_coward extends Constrain {\n\tby: one Person,\n\twho: one Person\n}{\n\tby not in who\n}\n\npred satisfy(cs: Constrain, p0_0, p0_1, p1_0, p1_1, p2_0, p2_1, p3_0, p3_1, p4_0, p4_1: Bool){\n  let\n\t\tb0 = (P0 -> p0_0) + (P1 -> p1_0) + (P2 -> p2_0) + (P3 -> p3_0) + (P4 -> p4_0),\n  \tb1 = (P0 -> p0_1) + (P1 -> p1_1) + (P2 -> p2_1) + (P3 -> p3_1) + (P4 -> p4_1)\n  {\n\t\t\/\/ b0: Person -> Bool \/\/ \u6b63\u76f4\n\t\t\/\/ b1: Person -> Bool \/\/ \u5c0f\u5fc3\n\t\t\/\/ \u5618\u3064\u304d\u306e\u4eba\u6570\u3092\u6307\u5b9a\n\t\t#{b0.F} = 3\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5618\u3064\u304d\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\tall c: cs & is_liar{\n\t\t\t(c.by.b0 = T) => (c.who.b0 = F)\n\t\t}\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5c0f\u5fc3\u8005\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\tall c: cs & is_coward{\n\t\t\t(c.by.b0 = T) => (c.who.b1 = T)\n\t\t}\n\t\t\/\/ \u3059\u3079\u3066\u306enot\u5c0f\u5fc3\u306a\u5618\u3064\u304d\u306b\u3064\u3044\u3066\n\t\tall p: b0.F & b1.F {\n\t\t\t\/\/ \u5168\u3066\u6b63\u76f4\u3067\u306f\u306a\u3044:\n\t\t\t(not\n\t\t\tall c: (is_coward <: by).p {\n\t\t\t\tc.who.b1 = T\n\t\t\t})or(\n\t\t\tnot all c: (is_liar <: by).p {\n\t\t\t\tc.who.b0 = F\n\t\t\t})\n\t\t\t\n\t\t}\n\t\t\n  }\n}\n\n\nrun {\n  let answers = {\n    p0_0, p0_1, p1_0, p1_1, p2_0, p2_1, p3_0, p3_1, p4_0, p4_1: Bool |\n    satisfy[Constrain, p0_0, p0_1, p1_0, p1_1, p2_0, p2_1, p3_0, p3_1, p4_0, p4_1]}\n    {\n\n    one answers\n\n    all x: Constrain {\n      not one {\n        p0_0, p0_1, p1_0, p1_1, p2_0, p2_1, p3_0, p3_1, p4_0, p4_1: Bool |\n        satisfy[Constrain - x, p0_0, p0_1, p1_0, p1_1, p2_0, p2_1, p3_0, p3_1, p4_0, p4_1]\n      }\n    }\n  }\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"fb138c93fa7fd586aa6ee539825d758dcaed3cdd","subject":"Generating more tests that distinguish the Lidbury-Donaldson model.","message":"Generating more tests that distinguish the Lidbury-Donaldson model.\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"tests\/Q2_c11_lidbury_partial.als","new_file":"tests\/Q2_c11_lidbury_partial.als","new_contents":"open ..\/sw\/c11_lidbury[E] as M1\nopen ..\/sw\/c11_partial[E] as M2\n\nsig E {}\n\npred distinguishes[X:Exec_C] {\n  not (M1\/consistent[X])\n  dead[X]\n  M2\/consistent[X]\n\n  \/\/ For now, omit dependencies\n  no X.(ad+cd+dd)\n\n  \/\/ For now, omit RMWs\n  no X.(R&W)\n}\n\nrun t1 { some X:Exec_C {\n  distinguishes[X]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || r0 = load(y,RLX);\n\/\/ store(y,1,SC); || store(x,1,SC);\n\/\/ { r0==1 && x==2 }\n\nfun cycle1[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.rf) .\n  (stor[X.R & X.(A - acq)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co)\n}\n\nrun t2 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC); || store(y,2,RLX);\n\/\/ store(y,1,SC); || store(x,1,RLX);\n\/\/ { x==2 && y==2 }\n\n\nfun cycle2[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.sc]) .\n  (X.co) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.co)\n}\n\nrun t3 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives:\n\/\/ store(x,2,SC);  || r0 = load(y,SC);\n\/\/ store(y,1,RLX); || store(x,1,REL);\n\/\/ { x==2 && r0==1 }\n\nfun cycle3[X:Exec_C] : E->E {\n  (stor[X.W & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(A - rel)]) .\n  (X.rf) .\n  (stor[X.R & X.sc]) .\n  (X.sb - X.sloc) .\n  (stor[X.W & X.(rel - sc)]) .\n  (X.co)\n}\n\nrun t4 { some X:Exec_C {\n  distinguishes[X]\n  irreflexive[cycle1[X]]\n  irreflexive[cycle2[X]]\n  irreflexive[cycle3[X]]\n}} for 1 Exec, 4 E, 3 Int expect 1\n\/\/ Gives.......\n","old_contents":"open ..\/sw\/c11_lidbury[E] as M1\nopen ..\/sw\/c11_partial[E] as M2\n\nsig E {}\n\nrun {\n  some X:Exec_C {\n    not (M1\/consistent[X])\n    dead[X]\n    M2\/consistent[X]\n \n    \/\/ just simplifying the solution:\n    no_RMWs[X]\n\tno X.(ad+cd+dd)\n    #(X.W) = #(X.R)\n  }\n} for 1 Exec, 4 E, 3 Int expect 1\n\n\/\/ This example shows that if you run\n\/\/\n\/\/ store(x,1,RLX); || r0 = load(y,SC);\n\/\/ store(y,1,SC);  || r1 = load(x,SC);\n\/\/\n\/\/ then in the \"original\" C11 model you are\n\/\/ allowed to observe r0==1&&r1==0, but in the\n\/\/ Lidbury-Donaldson simplified model, you \n\/\/ cannot observe that outcome.\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"43fab4bb521eb3d58ff815f969bb95fdca401681","subject":"misunderstand whether can marry or not","message":"misunderstand whether can marry or not\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\npred can_marry_think (from, to: Person){\n\tto not in from.^parent_think\n\tfrom not in to.^parent_think\n\tto not in from.parent_think.~parent_think\n}\n\npred can_marry_bio (from, to: Person){\n\tto not in from.^parent_bio\n\tfrom not in to.^parent_bio\n\tto not in from.parent_bio.~parent_bio\n}\n\nrun {\n\tsome parent_bio\n\tsome p1: Man, p2: Woman {\n\/\/\t\tp.parent_bio & Man != p.parent_think & Man\n\/\/\t\tone p.parent_think & Man\n\t\tcan_marry_think[p1, p2] and not can_marry_bio[p1, p2]\n\t}\n} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n\tsome p: Person {\n\t\tp.parent_bio & Man != p.parent_think & Man\n\t\tone p.parent_think & Man\n\t}\n} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"6fbae87c352595dd3d38d45af16735aad29d9d47","subject":"refactored","message":"refactored\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustlogic2.als","new_file":"illust_logic\/illustlogic2.als","new_contents":"one sig Root{\n  cell: Int -> Color -> Int\n}{\n  all x: cell.univ.univ | in_ten[x]\n  all y: univ.(univ.cell) | in_ten[y]\n  let ten = {x: Int | in_ten[x]}{\n    all x, y: ten{\n      one x.cell.y\n    }\n  }\n}\n\npred in_ten(x: Int){\n  one x\n  0 <= x and x < 10  \/\/ notice: for 5 Int required\n}\n\nenum Color { Black, White }\n\n\nfun getCol(i: Int): seq Color{\n  ~(i.(Root.cell))\n}\nfun getRow(i: Int): seq Color{\n  (Root.cell).i\n}\n\n\n\/\/ \u6307\u5b9a\u3055\u308c\u305f\u30bb\u30eb\u304c\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\npred is_black_head(line: seq Color, pos: Int) {\n  \/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u5834\u5408\u3092\u542b\u3080)\n  prev_is_not_black[line, pos]\n  \/\/ \u3053\u306e\u30bb\u30eb\u306f\u5b58\u5728\u3057\u3066\u3044\u3066\u9ed2\u3044\n  let this_ = line[pos]{\n    one this_ and this_ in Black\n  }\n}\n\npred sorted(xs: Int, ss: seq Int){\n  \/\/ ss\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n  ss.elems = xs\n  \/\/ ss\u306f\u5358\u8abf\u5897\u52a0\n  all i: ss.butlast.inds | lt [ss[i], ss[plus[i, 1]]]\n}\n\n\/\/ \u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\nfun get_heads(line: seq Color): Int{\n  {i: Int | is_black_head[line, i]}\n}\n\nfun get_end(start: Int, size: Int): Int{\n  plus[start, minus[size, 1]]\n}\n\npred all_black(line: seq Color, start: Int, end: Int){\n  all i: Int {\n    (start =< i and i =< end) => (line[i] = Black)\n  }\n}\n\n\/\/ \u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred is_not_black(c: Color){\n  no c or c in White\n}\n\/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred prev_is_not_black(line: seq Color, pos: Int) {\n  let prev = minus[pos, 1] {\n    is_not_black[line[prev]]\n  }\n}\n\/\/ \u76f4\u5f8c\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred next_is_not_black(line: seq Color, pos: Int) {\n  let next = plus[pos, 1]{\n    is_not_black[line[next]]\n  }\n}\n\npred hint(line: seq Color, sizes: seq Int){\n  some heads: seq Int {\n    #heads = #sizes\n    sorted[get_heads[line], heads]\n    all i: sizes.inds {\n      let start = heads[i], end = get_end[start, sizes[i]] {\n        some line[end]\n        all_black[line, start, end]\n        next_is_not_black[line, end]\n      }\n    }\n  }\n}\npred colHint (i: Int, sizes: seq Int) {\n  hint[getCol[i], sizes]\n}\npred rowHint (i: Int, sizes: seq Int) {\n  hint[getRow[i], sizes]\n}\n\nrun{\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 5 Int\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'illust_logic\/illustlogic2.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"7e7703447bbabeab0bc525cb600155c013873054","subject":"refactor: Row and Col have index:Int","message":"refactor: Row and Col have index:Int\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\nfun Row2Int (r: Row): Int {\n\tr.index\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n-- about cols\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred blackHeadInCol (c: Col, r: Row) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  r in first or cell[c, r.prev] = White\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\nfun Col2Int (c: Col): Int {\n\tc.index\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {}\nsig Col extends Region {\n  cell: Row -> Cell\n}\nsig Row extends Region {}\nenum Cell { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n  {r: Row | #(r.prevs) = i}\n}\n\nfun Row2Int (r: Row): Int {\n  #(r.prevs)\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n-- about cols\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred blackHeadInCol (c: Col, r: Row) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  r in first or cell[c, r.prev] = White\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n  {c: Col | #(c.prevs) = i}\n}\n\nfun Col2Int (c: Col): Int {\n  #(c.prevs)\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"5905888708041e550b4601f58fac68fd12198056","subject":"Add solutions from the tutorial","message":"Add solutions from the tutorial\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"alloy\/tutorial_questions.als","new_file":"alloy\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsome sig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate findModel below expresses that there exist black, yellow and final states\npred findModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ The run command below checks to see if the predicate can be satisfied in scope 1\nrun findModel for 4\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which findModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $findModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run findModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if its successors are empty.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run findModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\nfact { {s: State | no s.successors} in Final}\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\nfact { State in Initial.*successors }\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\nfact { all s: Black | Initial in s.^successors }\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\nfact { all s: Yellow | some Final & s.^successors }\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { all s: State | some Final & s.*successors }\n\n\/\/ Modify the check command below to check finishable in a sufficiently large  scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 4\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n\nfact { no Final & Black.^(successors - (State -> Initial)) }\n\n\/\/ Additional requirement: a yellow state has a successor as a final state\nfact { some Yellow & successors.Final }\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate findModel below expresses that there exist black, yellow and final states\npred findModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ The run command below checks to see if the predicate can be satisfied in scope 1\nrun findModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which findModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $findModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run findModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if its successors are empty.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run findModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Modify the check command below to check finishable in a sufficiently large  scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"be716ec32654401df4d89e711061b5b0320b2077","subject":"Final Version of FSE2017 Submission","message":"Final Version of FSE2017 Submission","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.datasets.traceability\/ModelWriter\/TraceabilityModel.als","new_file":"eu.modelwriter.datasets.traceability\/ModelWriter\/TraceabilityModel.als","new_contents":"module TraceabilityModel\nopen util\/relation\n\nabstract sig Artifact {\n\trequires: set Artifact,\trefines: set Artifact,\n\tcontains: set Artifact,\tconflicts: set Artifact}\n\n-- Locate@File\nsig Specification extends Artifact {}\n\n-- Locate@Text\nsig Requirement extends Artifact { equals: set Requirement}\n\n-- Locate@Text\nsig LowLevelReq, HighLevelReq extends Requirement { }\n\nabstract sig Implementation extends Artifact {\n\tsatisfies: set Requirement}\n\n-- Locate@Code\nsig Code extends Implementation {}\n\n-- Locate@Model\nsig Model extends Implementation {}\n\nfact {injective[contains, Artifact]}\nfact {irreflexive[requires + refines + contains + conflicts]}\nfact {antisymmetric[requires + refines + contains]}\n\n-- Reason@Artifact.conflicts\nfact {all a,b,c: Artifact |\n\t\tb in a.(requires + refines + contains) and \n\t\t\t\t\tc in b.conflicts => c in a.conflicts\n\tsymmetric[conflicts]}\n\n-- Reason@Implementation.satisfies\nfact {all a,b,c : Artifact {\n\t\tb in a.refines and b in c.satisfies => \n\t\t\t\t\t\t\t\t\t\ta in c.satisfies\n\t\tb in a.refines and c in b.satisfies => \n\t\t\t\t\t\t\t\t\t\tc in a.satisfies }}\n-- Reason@Artifact.requires\nfact {all a,b,c: Artifact {\n\t\tb in a.requires and c in b.(refines + contains) and \n\t\t   c !in a.(refines + contains) => c in a.requires\n\t\tb in a.(refines + contains) and c in b.requires and \n\t\t   c !in a.(refines + contains) => c in a.requires}}\n\nfact {no conflicts & \n\t\t(requires + refines + satisfies + contains)}\n\n\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.datasets.traceability\/ModelWriter\/TraceabilityModel.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"52092421364a2d2b978ac618ea3cb2acdff1466e","subject":"Added standard welcome","message":"Added standard welcome\n\n","repos":"AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog","old_file":"manual\/welcome_standard.als","new_file":"manual\/welcome_standard.als","new_contents":"      Welcome to ALS Prolog (Standard Edition)!\n      =========================================\n\nContents:\n   - LICENSE\n   - WARRANTY\n   - CD ORGANIZATION\n   - MANUAL\n   - COPYING ALS\n\nLICENSE\n=======\nApplied Logic Systems, Inc., provides this program and licenses \nits use.  Use of this program is prohibited without a valid \nlicense.  You may:\na)  Use this program on a single machine at any given time;\n    (To install this program on a server, you must obtain a \n     separate server license from Applied Logic Systems.)\nb)  Copy the program for backup purposes;\nc)  Transfer the program and license to another person if the \n    other person agrees to accept the terms of this license.\nNo other uses of program are permitted.  \n\nWARRANTY\n========\nThis program is provided \"as is \" without warranty of any kind, \neither expressed or implied, including, but not limited to, \nimplied warranties of merchantability and fitness for a \nparticular purpose.  You assume the entire risk as to the \nselection of this program to achieve your intended results and \nfor the installation, use, performance, and results obtained \nthrough the use of this program.\n\nCD ORGANIZATION\n===============\nThe ALS Prolog Standard Edition CD contains the following file \nand directories:\n\n     ALS Prolog 3.1 Installer (file)\n     ALS Prolog (directory)\n     Acrobat (directory)\n\nThe directory \"ALS Prolog\" is an expanded version of the \ninstaller.  That is, \"ALS Prolog 3.1 Installer\" will create \nan installation directory identical to \"ALS Prolog\".  You \ncan run ALS Prolog directly from the CD.  To install ALS Prolog on \nyour hard drive, simply double-click on the icon for\n\n     ALS Prolog 3.1 Installer\n\nand follow the simple directions.\n\nMANUAL\n======\nThe manual for the standard edition of ALS Prolog is provided\nby the file\n\n    ALS Prolog Manual.pdf\n\nin the installation directory ALS Prolog.  This is an Adobe \nAcrobat(r) file.  A copy of an installer for Acrobat is included in \nthe Acrobat directory.  To install Acrobat, change directory into the \nAcrobat subdirectory, and double-click on \"setup.exe\".  Follow the \ndirections for the installation.  After Acrobat is installed, just \ndouble-click on the icon for\n\n    ALS Prolog Manual.pdf\n\nto read the ALS Prolog documentation.\n\nCOPYING ALS\n===========\nMost of the source files distributed with ALS Prolog are governed\nby the license contained in the file \"COPYING ALS\" which \nis included with this distribution.  \n\n   = = = = = = = = = = = = = = = = = = = = = = = = = = = =\n\n       Applied Logic Systems, Inc.\n       PO Box 400175, Cambridge, MA 02140 USA\n       Email: support@als.com   Web: http:\/\/www.als.com\n       Fax: (617) 497-3963 Tel: (617) 497-0100   \n\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'manual\/welcome_standard.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"a50fdcc886cfba92fe922a12c8daee492da5233e","subject":"alloy model updated","message":"alloy model updated\n","repos":"cattaneo-riccardo\/PowerEnjoy","old_file":"Alloy\/powerenjoy_model.als","new_file":"Alloy\/powerenjoy_model.als","new_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 10\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 10\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\thour: Int,\n\tminute: Int\n} {\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\/\/\tradius: Int\n} {\n\/\/\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t'.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t == t'\npred areEqual[t, t': Time] {\n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if t - t' <= 1h\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\tor\n\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n}\n\n\/\/ Returns true if t >= t'\npred comesAfterOrEqual[t, t': Time] {\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 4\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 4)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 4\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 4)\n}\n\npred isFarFromSpecialSafeArea[area: Safe_Area] {\n\t\t\tall ssa: Special_Safe_Area |(\n\t\t\t(int ssa.location.latitude >= int area.location.latitude\n\t\t\timplies \n\t\t\t\tsub[ssa.location.latitude, area.location.latitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.location.latitude, ssa.location.latitude] > 15\n\t\t\t)\n\t\t\tand\n\t\t\t(int ssa.location.longitude >= int area.location.longitude implies \n\t\t\t\tsub[ssa.location.longitude, area.location.longitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.location.longitude, ssa.location.longitude] > 15)\n\t)\n}\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/There are no different Time with the same time\n\/*fact alwaysDifferent {\n\tall t, t': Time | t!=t' implies (not areEqual[t, t'])\n}*\/\n\n\/\/ CurrentTime is after all the times in the model\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open and has enough battery\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res]\n\t\t\tand c.battery_level>80\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\tone rid.release_time\n\t\tiff\n\t\t(one rid.release_battery_level and one rid.release_area and one rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservationConstraint {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/Passengers discount of 10%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and one res.ride.release_time and res.ride.passengers>2\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 9],10]\n\t\t)\n\t)\n}\n\n\/\/Non-empty battery discount of 20%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level>=50\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 4],5]\n\t\t)\n\t)\n}\n\n\/\/Car released charging discount of 30%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and (res.ride.release_area in Special_Safe_Area) and release_plugged = True\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t)\n\t)\n}\n\n\/\/Car released far and with low battery extra-charging of 30%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level<20 and isFarFromSpecialSafeArea[res.ride.release_area]\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 13],10]\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Reservation = 1\n\tall r: Reservation | ((one r.ride.release_time) and r.ride.passengers>=3) \n\/\/\tsome c: Car | c.unlocked = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\nrun show for 8 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 7 Int\n","old_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 10\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 10\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\/\/\tday: Int,\n\thour: Int,\n\tminute: Int\n} {\n\/\/\tday >= 0\n\/\/\tday =< 60 \/\/ For efficiency reasons\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\tradius: Int\n} {\n\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDifference[t, t': Time]: Int {\n\tadd[sub[60, t'.minute], t.minute]\n}\n\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t.minute]\t, mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t'.minute]\t, mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t - t' <= 1h\n\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\/\/\t(t.day = t'.day\n\/\/\t\timplies (\n\t\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\t\t\tor\n\t\t\t(t.hour = add[t'.hour,1] and minutesDifference[t, t'] < 60)\n\/*\t\t)\n\t\telse (\n\t\t\t(t.day = add[t'.day, 1] and t.hour = 0 and t'.hour = 23 and minutesDifference[t, t'] < 60)\n\t\t)\n\t)*\/\n}\n\n\/\/ Returns true if t >= t'\n\npred comesAfterOrEqual[t, t': Time] {\n\/\/\tt.day = t'.day\n\/\/\timplies (\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n\/\/\t)\n\/\/\telse t.day >= t'.day\n}\n\n\/\/ Returns true if t == t'\n\npred areEqual[t, t': Time] {\n\/\/\tt.day = t'.day and \n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\n\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 5\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 5)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 5\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 5)\n}\n\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\n\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\n\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\n\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\n\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\n\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\n\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open.\n\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res]\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\n\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\n\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\n\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\n\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\tone rid.release_time\n\t\tiff\n\t\t(one rid.release_battery_level and one rid.release_area and one rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservation {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\tall r: Reservation | r.expired = False\n\t#User = 1\n\t#Car = 2\n\t#Reservation = 3\n\/\/\tsome c: Car | c.unlocked = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\n\/\/run show for 8 Int\n\nrun show for 7 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 7 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"a599bbe13c5538619b3cb7884745a89b13e395fa","subject":"add comment etc","message":"add comment etc\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {}\nsig Col extends Region {\n  cell: Row -> Cell\n}\nsig Row extends Region {}\nenum Cell { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n  {r: Row | #(r.prevs) = i}\n}\n\nfun Row2Int (r: Row): Int {\n  #(r.prevs)\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n-- about cols\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred blackHeadInCol (c: Col, r: Row) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  r in first or cell[c, r.prev] = White\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n  {c: Col | #(c.prevs) = i}\n}\n\nfun Col2Int (c: Col): Int {\n  #(c.prevs)\n}\n\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {}\nsig Col extends Region {\n  cell: Row -> Cell\n}\nsig Row extends Region {}\nenum Cell { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n  {r: Row | #(r.prevs) = i}\n}\n\nfun Row2Int (r: Row): Int {\n  #(r.prevs)\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    headsSeqInRow [r, cs]\n    all i: sizes.inds | \n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n       some end\n       all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n       no end.next or cell [end.next, r] in White\n     }\n  }\n}\n\n-- about cols\npred blackHeadInCol (c: Col, r: Row) {\n  r in first or cell[c, r.prev] in White\n  cell[c, r] in Black\n}\n\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n  s.elems = headsInCol[c]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n  {c: Col | #(c.prevs) = i}\n}\n\nfun Col2Int (c: Col): Int {\n  #(c.prevs)\n}\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds | \n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n       some end\n       all r: start.*rows\/next - end.^rows\/next | cell [c, r] in Black\n       no end.next or cell [c, end.next] in White\n     }\n  }\n}\n\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"06f13901dc94e0f832eecdd79936f0d6d8cce84a","subject":"remove noOtherHeadsIn* because they are not used","message":"remove noOtherHeadsIn* because they are not used\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\npred sorted(xs: Int, s: seq Int){\n\t\/\/ s\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n\ts.elems = xs\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\t\n}\n\n-- about rows or cols\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\tsorted[\n\t\t{ c: Col | is_black_head[c, r, cols\/prev]}.index,\n\t\ts.index]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\tsorted[\n\t\t{ r: Row | is_black_head[c, r, rows\/prev]}.index,\n\t\ts.index]\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n\tno c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n\tno c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\tsorted[\n\t\t{ c: Col | is_black_head[c, r, cols\/prev]}.index,\n\t\ts.index]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\tsorted[\n\t\t{ r: Row | is_black_head[c, r, rows\/prev]}.index,\n\t\ts.index]\n}\n\npred sorted(xs: Int, s: seq Int){\n\t\/\/ s\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n\ts.elems = xs\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\t\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"444f5f4109ae23e7ce099437f032da6020f2ffb8","subject":"spaces to tabs","message":"spaces to tabs\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude16.als","new_file":"etude16.als","new_contents":"open util\/ordering[Time]\n\nsig Time {}\n\nsig Person {\n\tstate: State -> Time,\n}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","old_contents":"open util\/ordering[Time]\n\nsig Time {}\n\nsig Person {\n\tstate: State -> Time,\n}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n  all p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"f6828d1160cf8eef30349f384b47f954102244cd","subject":"minor","message":"minor\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_arm7.als","new_file":"mappings\/c11_arm7.als","new_contents":"open ..\/archs\/exec_C[SE] as SW\nopen ..\/archs\/exec_arm7[HE] as HW\n\n\/*\nA C11-to-Arm7 mapping.\n*\/\n\nmodule c11_arm7[SE,HE]\n\npred apply_map[X:SW\/Exec_C, X':HW\/Exec_Arm7, map:SE->HE] {\n\n  \/\/ two SW events cannot be compiled to a single HW event\n  map in X.EV lone -> X'.EV\n    \n  \/\/ HW reads\/writes cannot be invented by the compiler\n  all e : X'.(R+W) | one e.~map\n\n  \/\/ SW reads\/writes cannot be discarded by the compiler\n  all e : X.(R+W) | some e.map\n  \n  \/\/ a non-atomic or relaxed read compiles to a single read\n  all e : X.((R - W) - ACQ) {\n    one e.map\n    e.map in X'.R\n  }\n      \n  \/\/ an acquire read compiles to a read followed by an isb, with\n  \/\/ control dependencies inserted between the read and every\n  \/\/ event that is sequenced after it\n  all e : X.((R - W) & ACQ - SC) | let e1 = e.map {\n    one e1 \n    e1 in X'.R\n    e1 <: (X'.sb) in (X'.cd) & (isb[none,X'])\n  }\n   \n  \/\/ an SC read compiles to a read followed by a dmb\n  all e : X.((R - W) & SC) | let e1 = e.map {\n    one e1\n    e1 in X'.R\n    e1 <: (X'.sb) in (dmb[none,X'])\n  }\n  \n  \/\/ a non-atomic or relaxed write compiles to a single write\n  all e : X.((W - R) - REL) {\n    one e.map\n    e.map in X'.W\n  }\n\n  \/\/ a release write compiles to a dmb followed by a write\n  all e : X.((W - R) & REL - SC) | let e1 = e.map {\n    one e1\n    e1 in X'.W\n    (X'.sb) :> e1 in (dmb[none,X'])\n  }\n  \n  \/\/ an SC write compiles to a dmb followed by a write followed by a dmb\n  all e : X.((W - R) & SC) | let e1 = e.map {\n    one e1\n    e1 in X'.W\n    e1 <: (X'.sb) in (dmb[none,X'])\n    (X'.sb) :> e1 in (dmb[none,X'])\n  }\n  \n  \/\/ a relaxed RMW compiles to a read followed by a write, with \n  \/\/ control dependencies inserted between the read and every \n  \/\/ event that is sequenced after it\n  all e : X.((R & W) - (ACQ + REL)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    e1 <: (X'.sb) in (X'.cd)\n  }\n\n  \/\/ an acquire RMW compiles to a read followed by a write, \n  \/\/ followed by an isb, with control dependencies inserted \n  \/\/ between the read and every event that is sequenced after it\n  all e : X.((R & W & ACQ) - (REL + SC)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (isb[none,X'])\n  }\n\n  \/\/ a release RMW compiles to a dmb, followed by a read, followed by\n  \/\/ a write, with control dependencies inserted between the read and\n  \/\/ every event that is sequenced after it\n  all e : X.((R & W & REL) - (ACQ + SC)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n  }\n\n  \/\/ an acquire\/release RMW compiles to a dmb, followed by a read,\n  \/\/ followed by a write, followed by an isb, with control dependencies\n  \/\/ inserted between the read and every event that is sequenced after\n  \/\/ it\n  all e : X.((R & W & REL & ACQ) - SC) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (isb[none,X'])\n  }\n\n  \/\/ an SC RMW compiles to a dmb, followed by a read, followed by\n  \/\/ a write, followed by a dmb, with control dependencies inserted\n  \/\/ between the read and every event that is sequenced after it\n  all e : X.(R & W & SC) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (dmb[none,X'])\n  }\n\n  \/\/ release or acquire fences compile to dmbs\n  all e : X.(F & (ACQ + REL) - SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (dmb[none,X']) . ~map\n  }\n     \n  \/\/ SC fences compile to dmbs\n  all e : X.(F & SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (dmb[none,X']) . ~map\n  }\n \n  \/\/ sb edges are preserved (but more may be introduced)\n  X.sb in map . (X'.sb) . ~map\n  \n  \/\/ the mapping preserves rf\n  X.rf = map . (X'.rf) . ~map\n\n  \/\/ the mapping preserves co\n  X.co = map . (X'.co) . ~map\n\n  \/\/ the mapping preserves address dependencies\n  X.ad = map . (X'.ad) . ~map\n\n  \/\/ the mapping preserves data dependencies\n  X.dd = map . (X'.dd) . ~map\n\n  \/\/ the mapping preserves locations\n  (X.sloc) = map . (X'.sloc) . ~map\n    \n  \/\/ ctrl dependencies are preserved (but more may be introduced)\n  X.cd in map . (X'.cd) . ~map\n\n  \/\/ the mapping preserves threads\n  (X'.sthd) = ~map . (X.sthd) . map\n  \n}\n","old_contents":"open ..\/archs\/exec_C[SE] as SW\nopen ..\/archs\/exec_arm7[HE] as HW\n\n\/*\nA C11-to-Arm7 mapping.\n*\/\n\nmodule c11_arm7[SE,HE]\n\npred apply_map[X:SW\/Exec_C, X':HW\/Exec_Arm7, map:SE->HE] {\n\n  \/\/ two SW events cannot be compiled to a single HW event\n  map in X.EV lone -> X'.EV\n    \n  \/\/ HW reads\/writes cannot be invented by the compiler\n  all e : X'.(R+W) | one e.~map\n\n  \/\/ SW reads\/writes cannot be discarded by the compiler\n  all e : X.(R+W) | some e.map\n  \n  \/\/ a non-atomic or relaxed read compiles to a single read\n  all e : X.((R - W) - ACQ) {\n    one e.map\n    e.map in X'.R\n  }\n      \n  \/\/ an acquire read compiles to a read followed by an isb, with\n  \/\/ control dependencies inserted between the read and every\n  \/\/ event that is sequenced after it\n  all e : X.((R - W) & ACQ - SC) | let e1 = e.map {\n    one e1 \n    e1 in X'.R\n    e1 <: (X'.sb) in (X'.cd) & (isb[none,X'])\n  }\n   \n  \/\/ an SC read compiles to a read followed by a dmb\n  all e : X.((R - W) & SC) | let e1 = e.map {\n    one e1\n    e1 in X'.R\n    e1 <: (X'.sb) in (dmb[none,X'])\n  }\n  \n  \/\/ a non-atomic or relaxed write compiles to a single write\n  all e : X.((W - R) - REL) {\n    one e.map\n    e.map in X'.W\n  }\n\n  \/\/ a release write compiles to a dmb followed by a write\n  all e : X.((W - R) & REL - SC) | let e1 = e.map {\n    one e1\n    e1 in X'.W\n    (X'.sb) :> e1 in (dmb[none,X'])\n  }\n  \n  \/\/ an SC write compiles to a dmb followed by a write followed by a dmb\n  all e : X.((W - R) & SC) | let e1 = e.map {\n    one e1\n    e1 in X'.W\n    e1 <: (X'.sb) in (dmb[none,X'])\n    (X'.sb) :> e1 in (dmb[none,X'])\n  }\n  \n  \/\/ a relaxed RMW compiles to a read followed by a write, with \n  \/\/ control dependencies inserted between the read and every \n  \/\/ event that is sequenced after it\n  all e : X.((R & W) - (ACQ + REL)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    e1 <: (X'.sb) in (X'.cd)\n  }\n\n  \/\/ an acquire RMW compiles to a read followed by a write, \n  \/\/ followed by an isb, with control dependencies inserted \n  \/\/ between the read and every event that is sequenced after it\n  all e : X.((R & W & ACQ) - (REL + SC)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (isb[none,X'])\n  }\n\n  \/\/ a release RMW compiles to a dmb, followed by a read, followed by\n  \/\/ a write, with control dependencies inserted between the read and\n  \/\/ every event that is sequenced after it\n  all e : X.((R & W & REL) - (ACQ + SC)) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n  }\n\n  \/\/ an acquire\/release RMW compiles to a dmb, followed by a read,\n  \/\/ followed by a write, followed by an isb, with control dependencies\n  \/\/ inserted between the read and every event that is sequenced after\n  \/\/ it\n  all e : X.((R & W & REL & ACQ) - SC) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (isb[none,X'])\n  }\n\n  \/\/ an SC RMW compiles to a dmb, followed by a read, followed by\n  \/\/ a write, followed by a dmb, with control dependencies inserted\n  \/\/ between the read and every event that is sequenced after it\n  all e : X.(R & W & SC) | some disj e1,e2 : X'.EV {\n    e.map = e1+e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n    (X'.sb) :> e1 in (dmb[none,X'])\n    e1 <: (X'.sb) in (X'.cd)\n    e2 <: (X'.sb) in (dmb[none,X'])\n  }\n\n  \/\/ release or acquire fences compile to dmbs\n  all e : X.(F & (ACQ + REL) - SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (dmb[none,X']) . ~map\n  }\n     \n  \/\/ SC fences compile to dmbs\n  all e : X.(F & SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (dmb[none,X']) . ~map\n  }\n \n  \/\/ sb edges are preserved (but more may be introduced)\n  X.sb in map . (X'.sb) . ~map\n  \n  \/\/ the mapping preserves rf\n  X.rf = map . (X'.rf) . ~map\n\n  \/\/ the mapping preserves co\n  X.co = map . (X'.co) . ~map\n\n  \/\/ the mapping preserves address dependencies\n  X.ad = map . (X'.ad) . ~map\n\n  \/\/ the mapping preserves data dependencies\n  dd = map . (X'.dd) . ~map\n\n  \/\/ the mapping preserves locations\n  (X.sloc) = map . (X'.sloc) . ~map\n    \n  \/\/ ctrl dependencies are preserved (but more may be introduced)\n  X.cd in map . (X'.cd) . ~map\n\n  \/\/ the mapping preserves threads\n  (X'.sthd) = ~map . (X.sthd) . map\n  \n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"f4912f4c3c2d257b1305e7182f9bba7ecb3084af","subject":"Added more lemmas","message":"Added more lemmas\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Lemmas.als","new_file":"models\/Lemmas.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Lemmas\n\nopen Voting\n\n-- Voting Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert pluralityNoTransfers {\n  all c: Candidate | Election.method = Plurality implies 0 = #c.transfers\n}\ncheck pluralityNoTransfers for 13 but 7 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ Equal losers are tied\nassert equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\ncheck equalityofTiedWinnersAndLosers for 13 but 7 int\n\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | 0 < #b.preferences implies \n      b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and 0 <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n\/\/ STV threshold below quota\nassert thresholdBelowQuota {\n   Election.method = STV and 0 < #Ballot implies Scenario.threshold <= Scenario.quota\n}\ncheck thresholdBelowQuota for 13 but 7 int\n\n\/\/ Plurality sore loser\nassert pluralitySoreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser and Election.method = Plurality) implies\n       #c.votes < Scenario.threshold\n}\ncheck pluralitySoreLoser for 13 but 7 int\n\n\/\/ Plurality winner for a single seat constituency\nassert pluralityWinner {\nall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\ncheck pluralityWinner for 2 but 7 int\n\n\/\/ Length of PR-STV ballot does not exceed number of candidates\nassert lengthOfBallot {\n  all b: Ballot | Election.method = STV implies\n    #b.preferences <= #Candidate\n}\ncheck lengthOfBallot for 7 int\n\n\/\/ Quota for a full election is less than for a by-election\nassert  fullQuota {\n\tScenario.fullQuota <= Scenario.quota\n}\ncheck fullQuota for 7 int\n\n\/\/ Spoilt votes are not allocated to any candidate\nassert spoiltVoteDiscarded {\n  no c : Candidate | no b : Ballot | b in c.votes and b in BallotBox.spoiltBallots\n}\ncheck spoiltVoteDiscarded for 7 int\n\n\/\/ All transfers have a source either from a winner with surplus or by early elimination\n\/\/ of a loser\nassert transfersHaveSource {\n  all b: Ballot | some disj donor, receiver : Candidate | b in receiver.transfers \n   \t\timplies b in donor.votes and \n   \t\t(donor in Scenario.winners or donor in Scenario.eliminated)\n}\ncheck transfersHaveSource for 7 int \n\n\/\/ No missing candidates\nassert noMissingCandidates {\n  #Candidate = #Scenario.winners + #Scenario.losers\n  }\ncheck noMissingCandidates for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Candidate = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Candidate = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Candidate = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Candidate > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Candidate = 2\n}\nrun LW for 5 but 6 int\n\npred LLWstv {\n  some disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner and\n  c2.outcome = Loser and \n  Election.method = STV and #Candidate = 3\n}\nrun LLWstv for 6 but 6 int\n\npred SW {\n  some disj c0,c1: Candidate | c0.outcome = SoreLoser and c1.outcome = Winner and \n  Election.method = Plurality and 1 < #Ballot and #Candidate = 2\n}\nrun SW for 2 but 7 int\n\npred StWt {\n  some disj c0,c1: Candidate | c0.outcome = TiedSoreLoser and \n  c1.outcome = TiedWinner and \n  Election.method = Plurality\n}\nrun StWt for 2 but 7 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Candidate = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Candidate = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Candidate = 5\n    0 < #Ballot\n}\n\npred SLTT {\n  some disj c1,c3,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 4\n}\nrun SLTT for 13 but 7 int\n\npred SLLTT {\n  some disj c2,c3,c4,c8,c9: Candidate | \n    c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SLLTT for 13 but 7 int\n\npred SSLTT {\n  some disj c1,c2,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SSLTT for 13 but 7 int\n\npred SSLLTT {\n  some disj c1,c2,c3,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 6\n}\nrun SSLLTT for 13 but 7 int\n\npred SSLLLTTw {\n  some disj c0,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 7\n}\nrun SSLLLTTw for 13 but 7 int\n\npred SSSLLLTTw {\n  some disj c0,s2,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and s2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 8\n}\nrun SSSLLLTTw for 13 but 7 int\n\npred LLLLTTw {\n  some disj c3,c4,c5,c6,c7,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = TiedLoser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 6\n}\nrun LLLLTTw for 16 but 7 int\n\npred LLLLLLW {\n  some disj c3,c4,c5,c6,c7,c8,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = Winner and \n    Election.method = Plurality and \n    #Candidate = 7\n}\nrun LLLLLLW for 16 but 7 int\n\npred LLLtLtWt {\n  some disj c5,c6,c7,c8,c9: Candidate | \n    c5.outcome = TiedLoser and \n    c6.outcome = TiedLoser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 5\n}\nrun LLLtLtWt for 16 but 7 int\n\npred largeSurplus {\n  some c: Candidate | 0 < #c.surplus\n}\nrun largeSurplus for 7 int\n\npred LWW6 {\nsome disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner \n    and c2.outcome = Winner and Election.method = STV and #Candidate = 3\n}\nrun LWW6 for 16 but 7 int\n\n\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Lemmas\n\nopen Voting\n\n-- Voting Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert pluralityNoTransfers {\n  all c: Candidate | Election.method = Plurality implies 0 = #c.transfers\n}\ncheck pluralityNoTransfers for 13 but 7 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ Equal losers are tied\nassert equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes + #w.transfers = #l.votes + #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\ncheck equalityofTiedWinnersAndLosers for 13 but 7 int\n\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | 0 < #b.preferences implies \n      b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and 0 <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n\/\/ STV threshold below quota\nassert thresholdBelowQuota {\n   Election.method = STV and 0 < #Ballot implies Scenario.threshold <= Scenario.quota\n}\ncheck thresholdBelowQuota for 13 but 7 int\n\n\/\/ Plurality sore loser\nassert pluralitySoreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser and Election.method = Plurality) implies\n       #c.votes < Scenario.threshold\n}\ncheck pluralitySoreLoser for 13 but 7 int\n\n\/\/ Plurality winner for a single seat constituency\nassert pluralityWinner {\nall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\ncheck pluralityWinner for 2 but 7 int\n\n\/\/ Length of PR-STV ballot does not exceed number of candidates\nassert lengthOfBallot {\n  all b: Ballot | Election.method = STV implies\n    #b.preferences <= #Candidate\n}\ncheck lengthOfBallot for 7 int\n\n\/\/ Quota for a full election is less than for a by-election\nassert  fullQuota {\n\tScenario.fullQuota <= Scenario.quota\n}\ncheck fullQuota for 7 int\n\n\/\/ Spoilt votes are not allocated to any candidate\nassert spoiltVoteDiscarded {\n  no c : Candidate | no b : Ballot | b in c.votes and b in BallotBox.spoiltBallots\n}\ncheck spoiltVoteDiscarded for 7 int\n\n\/\/ All transfers have a source either from a winner with surplus or by early elimination\n\/\/ of a loser\nassert transfersHaveSource {\n  all b: Ballot | some disj donor, receiver : Candidate | b in receiver.transfers \n   \t\timplies b in donor.votes and \n   \t\t(donor in Scenario.winners or donor in Scenario.eliminated)\n}\ncheck transfersHaveSource for 7 int \n\n\/\/ No missing candidates\nassert noMissingCandidates {\n  #Candidate = #Scenario.winners + #Scenario.losers\n  }\ncheck noMissingCandidates for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Candidate = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Candidate = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Candidate\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Candidate = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Candidate = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Candidate > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Candidate = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Candidate = 2\n}\nrun LW for 5 but 6 int\n\npred LLWstv {\n  some disj c0,c1,c2: Candidate | c0.outcome = Loser and c1.outcome = Winner and\n  c2.outcome = Loser and \n  Election.method = STV and #Candidate = 3\n}\nrun LLWstv for 6 but 6 int\n\npred SW {\n  some disj c0,c1: Candidate | c0.outcome = SoreLoser and c1.outcome = Winner and \n  Election.method = Plurality and 1 < #Ballot and #Candidate = 2\n}\nrun SW for 2 but 7 int\n\npred StWt {\n  some disj c0,c1: Candidate | c0.outcome = TiedSoreLoser and \n  c1.outcome = TiedWinner and \n  Election.method = Plurality\n}\nrun StWt for 2 but 7 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Candidate = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Candidate = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Candidate = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Candidate = 5\n    0 < #Ballot\n}\n\npred SLTT {\n  some disj c1,c3,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 4\n}\nrun SLTT for 13 but 7 int\n\npred SLLTT {\n  some disj c2,c3,c4,c8,c9: Candidate | \n    c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SLLTT for 13 but 7 int\n\npred SSLTT {\n  some disj c1,c2,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 5\n}\nrun SSLTT for 13 but 7 int\n\npred SSLLTT {\n  some disj c1,c2,c3,c4,c8,c9: Candidate | \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 6\n}\nrun SSLLTT for 13 but 7 int\n\npred SSLLLTTw {\n  some disj c0,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 7\n}\nrun SSLLLTTw for 13 but 7 int\n\npred SSSLLLTTw {\n  some disj c0,s2,c1,c3,c4,c5,c7,c8: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and s2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedWinner and \n    Election.method = Plurality and #Candidate = 8\n}\nrun SSSLLLTTw for 13 but 7 int\n\npred LLLLTTw {\n  some disj c3,c4,c5,c6,c7,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = TiedLoser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 6\n}\nrun LLLLTTw for 16 but 7 int\n\npred LLLLLLW {\n  some disj c3,c4,c5,c6,c7,c8,c9: Candidate | \n    c3.outcome = Loser and \n    c4.outcome = Loser and \n    c5.outcome = Loser and \n    c6.outcome = Loser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = Winner and \n    Election.method = Plurality and \n    #Candidate = 7\n}\nrun LLLLLLW for 16 but 7 int\n\npred LLLtLtWt {\n  some disj c5,c6,c7,c8,c9: Candidate | \n    c5.outcome = TiedLoser and \n    c6.outcome = TiedLoser and \n    c7.outcome = Loser and \n    c8.outcome = Loser and \n    c9.outcome = TiedWinner and \n    Election.method = Plurality and \n    #Candidate = 5\n}\nrun LLLtLtWt for 16 but 7 int\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"befb60a4801c23e883b9cc02264212fb5509741c","subject":"Incomplete - task : Extend unit tests for complete coverage - clarify that non-sore Losers are always above the threshold","message":"Incomplete - task : Extend unit tests for complete coverage - clarify that non-sore Losers are always above the threshold\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) \n        implies c in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.losers & Scenario.eliminated and not #c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ Losers above threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies Scenario.threshold < (#c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1\n}\nrun LW for 10 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\n-- Version Control for changes to signatures and axioms, excluding lemmas and predicates\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 17\n  -- Dermot Cochran 2011-01-17\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) \n        implies c in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.losers & Scenario.eliminated and not #c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Unit Tests\npred UnitTest {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1\n}\nrun UnitTest for 10 but 6 int\n\n-- Difficult scenarios\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\n-- Version Control for changes to signatures and axioms, excluding lemmas and tests\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 17\n  -- Dermot Cochran 2011-01-17\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"ef6f87f30981e7081ebf821a4da3869c206cd654","subject":"Incomplete - task : Coverage profiling of universal tests ","message":"Incomplete - task : Coverage profiling of universal tests \n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate election\n  wasted:\t\t \t set Ballot,\t -- Ballots non-transferable due to exhaustion of preferences\n\t outcome: \t\t Event\t\t      -- Election result for candidate and associated ballots\n} {\n     \/\/ Non-transferable ballots\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     (outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n       implies wasted in surplus\n     (outcome = EarlyLoserNonTransferable or outcome = SoreLoserNonTransferable)\n       implies wasted in votes + transfers\n     \/\/ Division of ballots into first preferences and transfers\n\t    no b: Ballot | b in votes & transfers\n     \/\/ Division of ballots into piles for each candidate\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n     \/\/ Selection of surplus ballots for re-distribution\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     \/\/ Calculation of surplus for PR-STV election\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \t0 < #surplus implies (outcome = SurplusWinner or outcome = AboveQuotaWinner or\n\t\t\t\t\t\toutcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser or \n      outcome = EarlyLoserNonTransferable) iff \n\t\t     (this in Scenario.eliminated and \n       not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies \n       Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner or skipped.outcome = WinnerNonTransferable or\n    skipped.outcome = QuotaWinnerNonTransferable or skipped.outcome = Winner or\n    skipped.outcome = QuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser or\n       l.outcome = EarlyLoserNonTransferable or l.outcome = SoreLoserNonTransferable) \n       implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\t  set Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: set Ballot,\t\t-- ballots for which preferences are exhausted\n  size:\t\t\t\t\t        Int \t\t\t      -- number of unspolit ballots\n}\n{\n  no b: Ballot | b in spoiltBallots and b in nonTransferables\n  size = #Ballot - #spoiltBallots\n\t all b: Ballot | b in spoiltBallots iff #b.preferences = 0\n  \/\/ All non-transferable ballots belong to an non-transferable surplus\n  all b: Ballot | some c: Candidate | b in nonTransferables implies \n    b in c.wasted\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 03\n  day = 03\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- after election or elimination\n  wasted:\t\t \t set Ballot,\t -- Surplus ballots non-transferable \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- due to exhaustion of preferences\n\t outcome: \t\t Event,\t\t     -- Path through which the candidate either won or lost\n  distributions: set Distribution, -- allocation of surplus votes\n} {\n     0 < #distributions implies (0 < #surplus and #wasted < #surplus)\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     wasted in surplus\n\t    no b: Ballot | b in votes & transfers\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \tall b: Ballot | b in votes implies this in b.assignees\n    \t0 < #surplus iff (outcome = SurplusWinner or outcome = AboveQuotaWinner)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser) iff \n\t\t     (this in Scenario.eliminated and not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n    \/\/ Fair distribution of transfers\n    all d: Distribution | all b: Ballot | \n      d in distributions and b in d.ballots implies\n      (b in surplus and (not b in wasted))\n    sum #distributions.ballots = #surplus - #wasted\n}\n\n\/* Proportional distribution of transfers:\n * The surplus is a representative sample of the available transferable votes,\n * taken from the last set received in the case of an AboveQuotaWinner and from\n\t* the full set of ballots in the case of a SurplusWinner\n *\/\nsig Distribution {\n  receiver: Candidate,\n  ballots: set Ballot\n}\n{\n  not receiver.outcome = Winner\n  not receiver.outcome = SurplusWinner\n  not receiver.outcome = WinnerNonTransferable\n  all b: Ballot | b in ballots implies receiver in b.assignees\n\t\treceiver in Scenario.winners or receiver in Scenario.losers\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\tset Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: \tset Ballot,\t\t-- surplus ballots for which preferences are exhausted\n  size:\t\t\t\t\tInt \t\t\t-- number of unspolit ballots\n}\n{\n    0 <= size\n    \tsize = #Ballot - #spoiltBallots\n\tall b: Ballot | b in spoiltBallots iff #b.preferences = 0\n    \t\/\/ All non-transferable ballots belong to an undistributed surplus or eliminated candidate\n    \tall b: Ballot | some c: Candidate | b in nonTransferables implies b in c.wasted\n\tall b: Ballot | no c: Candidate | b in nonTransferables and b in c.transfers\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 02\n  day = 25\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"db5973dec243e177440b5f4cefbbf85acaa47ab1","subject":"Add Thursday's solutions","message":"Add Thursday's solutions\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"tutorials\/2017\/thursday\/tutorial_questions.als","new_file":"tutorials\/2017\/thursday\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsome sig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\nrun nontrivModel for 5\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\nfact { all q: State - Final | some q.successors }\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\nfact { State in Initial.*successors }\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\nfact { Black in ^successors.Initial }\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\nfact { Yellow in ^successors.Final }\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { State in *successors.Final }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 5\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n\nfact { no Black.^(successors - (State -> Initial)) & Final }\n\n\/\/ Aditional condition: no final state is successor to the initial state\n\nfact { not Initial in successors.Final }\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"14a02557c59fb8630e6529266520f24b99bbc9dc","subject":"add names","message":"add names\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude16.als","new_file":"etude16.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","old_contents":"open util\/ordering[Time]\n\nsig Time {}\n\nsig Person {\n\tstate: State -> Time,\n}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"9b935d2d286ec7a4537bbadb823f171a3129c754","subject":"Added Init_d to the deny","message":"Added Init_d to the deny\n","repos":"septract\/stellite-tool","old_file":"alloy\/histRelat.als","new_file":"alloy\/histRelat.als","new_contents":"\/\/ Relational version of history\n\nmodule histRelat\nopen c11Relat \n\npred preexecWF [ dom : set Action, \n                 kind : Action -> Kind,\n                 gloc : Action -> Glob,  \n                 lloc1, lloc2 : Action -> Thr, \n                 sb : Action -> Action ] { \n  SBwf[dom, kind, sb] \n  locWF[dom, kind, gloc, lloc1, lloc2] \n\n  lloc1 in Intern -> Thr \n  lloc2 in Intern -> Thr\n\n  \/\/ Assumptions don't turn up in the environment \n  no kind.AssmEq & Extern \n\n  \/\/ External actions are unordered in sb  \n  no sb & ((Extern -> Action) + (Action -> Extern)) \n\n  \/\/ Internal actions are totally ordered in sb \n  all disj a1, a2 : (dom & Intern) | \n    a1 -> a2 in (^sb + ^(~sb))\n\n  \/\/ Call \/ Return bracket internal actions\n  all c : dom & Call, r : dom & Ret | { \n    (c -> r) in ^sb \n    all i : dom | \n      i in Intern iff (c -> i) + (i -> r) in ^sb\n  } \n}\n\nfun HBvsMO_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                  : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    some disj w1, w2 : (dom <: loc.Atomic) | \n    { \n      (w2 -> w1) in mo\n      (w1 -> u) + (v -> w2) in (iden + hb) \n    } \n  } \n} \n\nfun CoWR_d [ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) |\n    disj [u,v] and \n    some w1, w2 : kind.Write & (dom <: loc.Atomic), \n               r : kind.Read & (dom <: loc.Atomic)   | \n    { \n      disj [w1, w2, r] \n      (w1 -> r) in rf \n      (w1 -> w2) in mo\n      (w2 -> u) in iden + hb \n      (v -> r) in iden + hb \n    } \n  } \n} \n\nfun HBacyc_d [ dom : set Action, \n               kind : Action -> Kind,\n               loc : Action -> Loc, \n               wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                 : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    disj [u,v] \n   and \n    (v -> u) in hb \n  } \n} \n\nfun Init_d [ dom : set Action, \n             kind : Action -> Kind, \n             gloc : Action -> Glob, \n             wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    some w : dom & kind.(Write + RMW) & gloc.Atomic, \n         r : dom & kind.Read & gloc.Atomic | { \n      no rf.r  \/\/ Read the init value \n      (w -> u) in iden + hb\n      (v -> r) in iden + hb\n      w.gloc = r.gloc \n    } \n  } \n} \n\nfun getguar[ dom : Action, hb : Action -> Action ] : Action -> Action { \n  hb & ((Extern -> Extern) + (Call -> Extern) +  (Extern -> Ret)) \n} \n\nfun getdeny[ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                 : Action -> Action { \n    CoWR_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBvsMO_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBacyc_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf] \n     + \n    Init_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n\n   \/\/ \/\/ Note: removed Ret -> Call deny because it's already enforced by sb \n   \/\/      - (Ret -> Call) \n} \n\n\/*************************************************\/ \n\/* Cutting Predicates                            *\/ \n\/*************************************************\/\n\npred cutR[ dom : set Action, kind : Action -> Kind,\n           loc : Action -> Loc, wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all r : Extern & kind.Read & loc.Atomic & dom | \n  some w : Intern & dom | { \n    (w -> r) in rf\n    no (w.rf & Extern) - r\n  } \n} \n\nfun vizAct[ dom : set Action, rf : Action -> Action ] : Action  { \n  \/\/ Internal actions \n  (dom & Intern) + \n  \/\/ External actions that are read or read from internal actions\n  { a : dom & Extern | \n    some a' : dom & Intern | some ((a -> a') + (a' -> a)) & rf }\n} \n\npred cutW[ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  all disj w, w' : Extern & dom | { \n    {(w.loc = w'.loc) and (no (w + w') & vizAct[dom, rf])} \n       implies \n    some w'' : vizAct[dom, rf] | \n       (w -> w'') + (w'' -> w') in mo\n  } \n} \n\n\n","old_contents":"\/\/ Relational version of history\n\nmodule histRelat\nopen c11Relat \n\npred preexecWF [ dom : set Action, \n                 kind : Action -> Kind,\n                 gloc : Action -> Glob,  \n                 lloc1, lloc2 : Action -> Thr, \n                 sb : Action -> Action ] { \n  SBwf[dom, kind, sb] \n  locWF[dom, kind, gloc, lloc1, lloc2] \n\n  lloc1 in Intern -> Thr \n  lloc2 in Intern -> Thr\n\n  \/\/ Assumptions don't turn up in the environment \n  no kind.AssmEq & Extern \n\n  \/\/ External actions are unordered in sb  \n  no sb & ((Extern -> Action) + (Action -> Extern)) \n\n  \/\/ Internal actions are totally ordered in sb \n  all disj a1, a2 : (dom & Intern) | \n    a1 -> a2 in (^sb + ^(~sb))\n\n  \/\/ Call \/ Return bracket internal actions\n  all c : dom & Call, r : dom & Ret | { \n    (c -> r) in ^sb \n    all i : dom | \n      i in Intern iff (c -> i) + (i -> r) in ^sb\n  } \n}\n\nfun HBvsMO_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                  : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    some disj w1, w2 : (dom <: loc.Atomic) | \n    { \n      (w2 -> w1) in mo\n      (w1 -> u) + (v -> w2) in (iden + hb) \n    } \n  } \n} \n\nfun CoWR_d [ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) |\n    disj [u,v] and \n    some w1, w2 : kind.Write & (dom <: loc.Atomic), \n               r : kind.Read & (dom <: loc.Atomic)   | \n    { \n      disj [w1, w2, r] \n      (w1 -> r) in rf \n      (w1 -> w2) in mo\n      (w2 -> u) in iden + hb \n      (v -> r) in iden + hb \n    } \n  } \n} \n\nfun HBacyc_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                 : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    disj [u,v] \n   and \n    (v -> u) in hb \n  } \n} \n\nfun getguar[ dom : Action, hb : Action -> Action ] : Action -> Action { \n  hb & ((Extern -> Extern) + (Call -> Extern) +  (Extern -> Ret)) \n} \n\nfun getdeny[ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                 : Action -> Action { \n   \/\/ Note: removed Ret -> Call deny because it's already enforced by sb \n   (CoWR_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBvsMO_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBacyc_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf])\n        - (Ret -> Call) \n} \n\n\/*************************************************\/ \n\/* Cutting Predicates                            *\/ \n\/*************************************************\/\n\npred cutR[ dom : set Action, kind : Action -> Kind,\n           loc : Action -> Loc, wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all r : Extern & kind.Read & loc.Atomic & dom | \n  some w : Intern & dom | { \n    (w -> r) in rf\n    no (w.rf & Extern) - r\n  } \n} \n\nfun vizAct[ dom : set Action, rf : Action -> Action ] : Action  { \n  \/\/ Internal actions \n  (dom & Intern) + \n  \/\/ External actions that are read or read from internal actions\n  { a : dom & Extern | \n    some a' : dom & Intern | some ((a -> a') + (a' -> a)) & rf }\n} \n\npred cutW[ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  all disj w, w' : Extern & dom | { \n    {(w.loc = w'.loc) and (no (w + w') & vizAct[dom, rf])} \n       implies \n    some w'' : vizAct[dom, rf] | \n       (w -> w'') + (w'' -> w') in mo\n  } \n} \n\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"59e841b4220a473fc44fa0343818bd4298ee23ad","subject":"use Scope to specify maze's size.","message":"use Scope to specify maze's size.\n","repos":"nagachika\/maze_maker,nagachika\/maze_maker,nagachika\/maze_maker","old_file":"alloy\/simple_maze.als","new_file":"alloy\/simple_maze.als","new_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u96a3\u63a5\u3059\u308b Cell\nfun adjacent (col: Col, row: Row) : Col -> Row {\n  col.prev -> row +\n  col.next -> row +\n  col -> row.prev +\n  col -> row.next\n}\n\nsig Col {\n  paths: Row -> Col -> Row\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  all row: Row | no (this -> row) & row.paths\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Cell\n  all row: Row | row.paths in adjacent[this, row]\n}\nsig Row {}\n\none sig entrance_x extends Col {}\none sig entrance_y extends Row {}\none sig exit_x extends Col {}\none sig exit_y extends Row {}\n\n\/\/  \u4f4d\u7f6e\u304c\u76e4\u306e\u7aef\npred edge (col: Col, row: Row) {\n  col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ \u5168\u3066\u306e\u4f4d\u7f6e\u304c paths \u306b\u542b\u307e\u308c\u3066\u3044\u308b\n  all col: Col, row: Row | (col -> row) in paths[Col, Row]\n  \/\/ paths \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  all c1, c2: Col, r1, r2: Row | (c1 -> r1 -> c2 -> r2) in paths => (c2 -> r2 -> c1 -> r1) in paths\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[entrance_x, entrance_y]\n  edge[exit_x, exit_y]\n}\n\nrun {} for exactly 10 Col, exactly 10 Row\n","old_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u8ff7\u8def\u306e\u30b5\u30a4\u30ba\nfun height : Int {\n  10\n}\nfun width: Int {\n  10\n}\n\n\/\/ \u96a3\u63a5\u3059\u308b Cell\nfun adjacent (col: Col, row: Row) : Col -> Row {\n  col.prev -> row +\n  col.next -> row +\n  col -> row.prev +\n  col -> row.next\n}\n\nsig Col {\n  paths: Row -> Col -> Row\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  all row: Row | no (this -> row) & row.paths\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Cell\n  all row: Row | row.paths in adjacent[this, row]\n}\nsig Row {}\n\none sig entrance_x extends Col {}\none sig entrance_y extends Row {}\none sig exit_x extends Col {}\none sig exit_y extends Row {}\n\n\/\/  \u4f4d\u7f6e\u304c\u76e4\u306e\u7aef\npred edge (col: Col, row: Row) {\n  col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ \u5168\u3066\u306e\u4f4d\u7f6e\u304c paths \u306b\u542b\u307e\u308c\u3066\u3044\u308b\n  all col: Col, row: Row | (col -> row) in paths[Col, Row]\n  \/\/ paths \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  all c1, c2: Col, r1, r2: Row | (c1 -> r1 -> c2 -> r2) in paths => (c2 -> r2 -> c1 -> r1) in paths\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[entrance_x, entrance_y]\n  edge[exit_x, exit_y]\n}\n\nrun {\n  #Col = width[]\n  #Row = height[]\n} for 10\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d97cc372e99d9a61402448b6f9230e299339c728","subject":"Fixed mismatch between ballots and votes.","message":"Fixed mismatch between ballots and votes.\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A individual person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.last.identifier and v.ranking = #preferences\n    all v: Vote | v.ballot = identifier implies v.candidate = preferences.subseq[v.ranking-1,v.ranking].first.identifier\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c] + 1\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a, b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 7 seq, 6 int\n","old_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a, b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 7 seq, 6 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"6cb77ba3ff9071d3d384a29cd030b20ce21c325a","subject":"Incomplete - task : Coverage profiling of universal tests - 91% code coverage","message":"Incomplete - task : Coverage profiling of universal tests - 91% code coverage\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- after election or elimination\n  wasted:\t\t \t set Ballot,\t -- Surplus ballots non-transferable \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- due to exhaustion of preferences\n\t outcome: \t\t Event,\t\t     -- Path through which the candidate either won or lost\n  distributions: set Distribution, -- allocation of surplus votes\n} {\n     0 < #distributions implies (0 < #surplus and #wasted < #surplus)\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     wasted in surplus\n\t    no b: Ballot | b in votes & transfers\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \tall b: Ballot | b in votes implies this in b.assignees\n    \t0 < #surplus iff (outcome = SurplusWinner or outcome = AboveQuotaWinner)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser) iff \n\t\t     (this in Scenario.eliminated and not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n       implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = SurplusWinner or outcome = WinnerNonTransferable) \n      implies ((#surplus = #votes - Scenario.quota) and #transfers = 0)\n    (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n    \/\/ Fair distribution of transfers\n    all d: Distribution | all b: Ballot | \n      d in distributions and b in d.ballots implies\n      (b in surplus and (not b in wasted))\n    sum #distributions.ballots = #surplus - #wasted\n}\n\n\/* Proportional distribution of transfers:\n * The surplus is a representative sample of the available transferable votes,\n * taken from the last set received in the case of an AboveQuotaWinner and from\n\t* the full set of ballots in the case of a SurplusWinner\n *\/\nsig Distribution {\n  receiver: Candidate,\n  ballots: set Ballot\n}\n{\n  not receiver.outcome = Winner\n  not receiver.outcome = SurplusWinner\n  not receiver.outcome = WinnerNonTransferable\n  all b: Ballot | b in ballots implies receiver in b.assignees\n\t\treceiver in Scenario.winners or receiver in Scenario.losers\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\tset Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: \tset Ballot,\t\t-- surplus ballots for which preferences are exhausted\n  size:\t\t\t\t\tInt \t\t\t-- number of unspolit ballots\n}\n{\n    0 <= size\n    \tsize = #Ballot - #spoiltBallots\n\tall b: Ballot | b in spoiltBallots iff #b.preferences = 0\n    \t\/\/ All non-transferable ballots belong to an undistributed surplus or eliminated candidate\n    \tall b: Ballot | some c: Candidate | b in nonTransferables implies b in c.wasted\n\tall b: Ballot | no c: Candidate | b in nonTransferables and b in c.transfers\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\t        Int,\t\t -- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t -- full number of seats in this constituency\n  method: \t\t\t\t       Method\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 02\n  day = 25\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- Note that all axioms should be expressed as facts appended to signatures\n-- Standalone facts will be ignored by the API, but not by the analyser\n\n\/* \n\tThere are 8 winner-outcomes and 8 loser-outcomes:\n\n  WinnerNonTransferable: \n                    elected on first round with at least one non-transferable surplus vote (STV)\n\t SurplusWinner:\t\t  elected on first round with at least one surplus vote (STV),\n\t Winner: \t\t\t\t      elected in the first round of counting either by quota or plurality,\n  AboveQuotaWinner: elected with surplus votes after receipt of transfers (STV),\n  QuotaWinnerNonTransferable:\n\t\t\t\t                elected with at least one non-transferable surplus vote,\n  QuotaWinner: \t\t   elected with quota after transfers from another candidate (STV only),\n\t CompromiseWinner: elected on the last round of counting without quota (STV only),\n\t TiedWinner:\t\t\t    elected by tie breaker,\n\t TiedLoser:\t\t\t     loses only by tie breaker but reaches the threshold,\n\t Loser:\t\t\t \t\t      defeated on last round but reaches the minimum threshold of votes,\n  TiedEarlyLoser:\t  reaches threshold but eliminated by tie breaker (STV only),\n  EarlyLoserNonTransferable:\n                    reaches threshold bit is eliminated with some non-transferable votes,\n\t EarlyLoser:\t\t     reaches threshold but is eliminated before last round (STV only),\n\t TiedSoreLoser:\t\t  loses only by tie breaker but does not reach threshold,\n  SoreLoserNonTransferable:\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tbelow threshold and eliminated with some non-transferable votes\n\t SoreLoser: \t\t\t    does not even reach the mimimum threshold of votes.\n*\/\nenum Event {SurplusWinner, \n            WinnerNonTransferable, \n            Winner, \n            AboveQuotaWinner, \n            QuotaWinnerNonTransferable, \n            QuotaWinner, \n            CompromiseWinner, \n\t           TiedWinner, \n            TiedLoser, \n            Loser, \n            TiedEarlyLoser, \n            EarlyLoser, \n            TiedSoreLoser, \n            SoreLoser,\n\t           EarlyLoserNonTransferable, \n            SoreLoserNonTransferable}\n\nenum Method {Plurality, STV}\n\n-- An individual person standing for election\nsig Candidate {\n  votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\t transfers: \tset Ballot,  -- Second and subsequent preferences received\n\t surplus: \t\t set Ballot, \t-- Ballots tranferred to another candidate \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- after election or elimination\n  wasted:\t\t \t set Ballot,\t -- Surplus ballots non-transferable \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t             -- due to exhaustion of preferences\n\t outcome: \t\t Event,\t\t     -- Path through which the candidate either won or lost\n  distributions: set Distribution, -- allocation of surplus votes\n} {\n     0 < #distributions implies (0 < #surplus and #wasted < #surplus)\n     0 < #wasted implies (outcome = WinnerNonTransferable or \n                          outcome = QuotaWinnerNonTransferable or\n                          outcome = EarlyLoserNonTransferable or\n\t                         outcome = SoreLoserNonTransferable)\n     wasted in surplus\n\t    no b: Ballot | b in votes & transfers\n\t    all b: Ballot | b in votes + transfers implies this in b.assignees\n\t    surplus in votes + transfers\n\t    Election.method = Plurality implies #surplus = 0 and #transfers = 0\n    \t0 < #transfers implies Election.method = STV\n     ((outcome = Winner and Election.method = STV) or (\n       outcome = SurplusWinner or outcome = WinnerNonTransferable)) implies\n       Scenario.quota + #surplus = #votes\n    \t(outcome = Winner or outcome = SurplusWinner or \n      outcome = WinnerNonTransferable) implies #transfers = 0\n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies surplus in transfers \n    \t(outcome = QuotaWinner or outcome = AboveQuotaWinner or\n      outcome = QuotaWinnerNonTransferable) implies \n\t\t    Scenario.quota + #surplus = #votes + #transfers\n    \tall b: Ballot | b in votes implies this in b.assignees\n    \t0 < #surplus iff (outcome = SurplusWinner or outcome = AboveQuotaWinner)\n    \t(outcome = EarlyLoser or outcome = TiedEarlyLoser) iff \n\t\t     (this in Scenario.eliminated and not (#votes + #transfers < Scenario.threshold))\n    \t\/\/ All non-sore losers are at or above the threshold\n     outcome = TiedLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = Loser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoser implies Scenario.threshold <= #votes + #transfers\n     outcome = EarlyLoserNonTransferable implies Scenario.threshold <= #votes + #transfers\n     outcome = TiedEarlyLoser implies Scenario.threshold <= #votes + #transfers\n    \t\/\/ Plurality outcomes\n    \tElection.method = Plurality implies\n\t\t   (outcome = Loser or outcome = SoreLoser or outcome = Winner or \n\t\t    outcome = TiedWinner or outcome = TiedLoser or outcome = TiedSoreLoser)\n    \t\/\/ PR-STV Winner has at least a quota of first preference votes\n    \t(Election.method = STV and outcome = Winner) implies \n       Scenario.quota = #votes\n     (outcome = SurplusWinner or outcome = WinnerNonTransferable) implies \n       Scenario.quota < #votes\n     \/\/ Quota Winner has a least a quota of votes after transfers\n\t    outcome = QuotaWinner implies\n\t      Scenario.quota = #votes + #transfers\n     (outcome = AboveQuotaWinner or outcome = QuotaWinnerNonTransferable) implies\n\t      Scenario.quota < #votes + #transfers\n     \/\/ Quota Winner does not have a quota of first preference votes\n\t    (outcome = QuotaWinner or outcome = AboveQuotaWinner or \n       outcome = QuotaWinnerNonTransferable) implies\n\t\t     not Scenario.quota <= #votes\n     \/\/ Compromise winners do not have a quota of votes\n\t    outcome = CompromiseWinner  implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ STV Tied Winners have less than a quota of votes\n\t   (Election.method = STV and outcome = TiedWinner) implies\n\t\t     not (Scenario.quota <= #votes + #transfers)\n    \/\/ Sore Losers have less votes than the threshold\n\t   (outcome = SoreLoser or outcome = SoreLoserNonTransferable) implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Tied Sore Losers have less votes than the threshold\n\t   outcome = TiedSoreLoser implies \n\t\t    #votes + #transfers < Scenario.threshold\n    \/\/ Size of surplus for each STV Winner and Quota Winner\n\t   (outcome = AboveQuotaWinner or outcome = SurplusWinner or\n      outcome = WinnerNonTransferable or outcome = QuotaWinnerNonTransferable) \n      implies (#surplus = #votes + #transfers - Scenario.quota)\n    \/\/ Fair distribution of transfers\n    all d: Distribution | all b: Ballot | d in distributions and b in d.ballots implies\n      (b in surplus and (not b in wasted))\n    sum #distributions.ballots = #surplus - #wasted\n\t\t\t\tall d: Distribution | not this = d.receiver\n}\n\n\/* Proportional distribution of transfers:\n * The surplus is a representative sample of the available transferable votes,\n * taken from the last set received in the case of an AboveQuotaWinner and from\n\t* the full set of ballots in the case of a SurplusWinner\n *\/\nsig Distribution {\n  receiver: Candidate,\n  ballots: set Ballot\n}\n{\n  not receiver.outcome = Winner\n  not receiver.outcome = SurplusWinner\n  not receiver.outcome = WinnerNonTransferable\n  all b: Ballot | b in ballots implies receiver in b.assignees\n\t\treceiver in Scenario.winners or receiver in Scenario.losers\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\t assignees in preferences.elems\n  not preferences.hasDups\n\t preferences.first in assignees\n\t Election.method = Plurality implies #preferences <= 1\n  0 <= #preferences\n  \/\/ First preference\n  all c: Candidate | preferences.first = c iff this in c.votes\n  \/\/ Second and subsequent preferences\n  all disj donor,receiver: Candidate |\n\t\t  (donor + receiver in assignees and\n\t\t  this in receiver.transfers and this in donor.surplus) implies \n\t\t  (preferences.idxOf[donor] < preferences.idxOf[receiver] and\n\t\t  receiver in preferences.rest.elems)\n  \/\/ All ballot transfers are associated with the last candidate to receive the transfer\n\t all disj c,d: Candidate | this in c.transfers implies c in assignees and \n\t\t  (d not in assignees or preferences.idxOf[d] < preferences.idxOf[c])\n  \/\/ Transfers to next continuing candidate\n\t all disj skipped, receiving: Candidate | \n\t\t  preferences.idxOf[skipped] < preferences.idxOf[receiving] and\n\t\t  receiving in assignees and (not skipped in assignees) implies\n\t\t  (skipped in Scenario.eliminated or skipped.outcome = SurplusWinner or \n\t\t  skipped.outcome = AboveQuotaWinner)\n}\n\n-- An election result\none sig Scenario {\n  losers: \t\t\t\tset Candidate,\n  winners: \t\t\tset Candidate,\n\t eliminated: set Candidate, -- Early and Sore Losers under STV rules\n\t threshold: \tInt, \t\t\t\t\t     -- Minimum number of votes for a Loser or Early Loser\n\t quota: \t\t\t\t Int,\t\t\t\t\t      -- Minimum number of votes for a STV Winner or Quota Winner\n  fullQuota:\t\tInt\t\t\t\t\t       -- Quota if all constituency seats were vacant\n} {\n \tall c: Candidate | c in winners + losers\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t  (#l.votes + #l.transfers <= #w.votes + #w.transfers)\n  Election.method = STV implies threshold = 1 + fullQuota.div[4]\n\t eliminated in losers\n  \/\/ All PR-STV losers have less votes than the quota\n\t all c: Candidate | (c in losers and Election.method = STV) implies \n       #c.votes + #c.transfers < quota\n    \/\/ Winners have more votes than all non-tied losers\n    all disj c,d: Candidate | c in winners and \n       (d.outcome = SoreLoser or d.outcome = EarlyLoser or d.outcome = Loser) implies\n\t   (#d.votes + #d.transfers) < (#c.votes + #c.transfers)\n   \/\/ Losers have less votes than all non-tied winners\n   all disj c,d: Candidate | \n\t  (c.outcome = CompromiseWinner or c.outcome = QuotaWinner or c.outcome = Winner\n\t\tor c.outcome = SurplusWinner or c.outcome = AboveQuotaWinner) and \n\t  d in losers implies\n\t  #d.votes + #d.transfers < #c.votes + #c.transfers\n   \/\/ Lowest candidate is eliminated first\n\tall disj c,d: Candidate | c in eliminated and d not in eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n    \/\/ A non-sore plurality loser must have received at least five percent of the total vote\n\tElection.method = Plurality implies threshold = 1 + BallotBox.size.div[20]\n    \/\/ Winning outcomes\n\tall c: Candidate | c in winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner or c.outcome = SurplusWinner or \n\t\tc.outcome = AboveQuotaWinner or\n  c.outcome = WinnerNonTransferable or\n  c.outcome = QuotaWinnerNonTransferable)\n    \/\/ Losing outcomes\n\tall c: Candidate | c in losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n    \/\/ STV election quotas\n    Election.method = STV implies quota = 1 + BallotBox.size.div[Election.seats+1] and\n    \tfullQuota = 1 + BallotBox.size.div[Election.constituencySeats + 1]\n    Election.method = Plurality implies quota = 1 and fullQuota = 1\n \/\/ All ties involve equality between at least one winner and at least one loser\n    all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes + #l.transfers = #w.votes + #w.transfers)\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n   \/\/ When there is a tied sore loser then there are no non-sore losers\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n    \/\/ For each Tied Winner there is a Tied Loser\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n    \/\/ Tied Winners and Tied Losers have an equal number of votes\n\tall disj l,w: Candidate | \n    ((l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) and\n    w.outcome = TiedWinner) implies #w.votes + #w.transfers = #l.votes + #l.transfers\n    \/\/ Compromise winner must have more votes than any tied winners\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) \n\t\timplies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n    \/\/ Winners have more votes than non-tied losers\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n    \/\/ For each Tied Loser there is at least one Tied Winner\n   all c: Candidate | some w: Candidate |\n   (c.outcome = TiedLoser or c.outcome = TiedSoreLoser or c.outcome = TiedEarlyLoser) \n\t\timplies w.outcome = TiedWinner\n}\n\n-- The Ballot Box\none sig BallotBox {\n  spoiltBallots:\t\tset Ballot,\t\t-- empty ballots excluded from count\n  nonTransferables: \tset Ballot,\t\t-- surplus ballots for which preferences are exhausted\n  size:\t\t\t\t\tInt \t\t\t-- number of unspolit ballots\n}\n{\n    \t0 <= size\n    \tsize = #Ballot - #spoiltBallots\n\tall b: Ballot | b in spoiltBallots iff #b.preferences = 0\n    \t\/\/ All non-transferable ballots belong to an undistributed surplus or eliminated candidate\n    \tall b: Ballot | some c: Candidate | b in nonTransferables implies b in c.wasted\n\tall b: Ballot | no c: Candidate | b in nonTransferables and b in c.transfers\n}\n\n-- An Electoral Constituency\none sig Election {\n  seats: \t\t\t\tInt,\t\t-- number of seats to be filled in this election\n  constituencySeats:\tInt,\t\t-- full number of seats in this constituency\n  method: \t\t\t\tMethod\t-- type of election; PR-STV or plurality\n}\n{\n \t0 < seats and seats <= constituencySeats\n \tseats < #Candidate\n}\n   \n-- Version Control for changes to model \none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 02\n  day = 25\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"1839e83baf85e4ac6b1b98a76d7bf451497f4351","subject":"Added model scenario for existance of long ballots","message":"Added model scenario for existance of long ballots\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier: Int,               -- Unique identifier for this candidate\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t\t-- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate,\n  votes:\t\t\t\tseq Vote,\t\t\t-- Fragments of the vote\n  top:\t\t\t\tInt,  \t\t\t\t\t-- Unique identifier of first preference candidate\n  length:\t\t\tInt  \t\t\t\t\t-- Number of preferences expressed on ballot\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies length = 1\n\ttop = preferences.first.identifier\n    length = #preferences\n    0 < length\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = top and v.ranking = 1\n    all v: Vote | Election.method = STV and v in votes.elems implies v.ballot = identifier\n    votes.first.candidate = preferences.first.identifier\n    votes.last.candidate = preferences.last.identifier\n    votes.first.ranking = 1\n    votes.last.ranking = length\n    #votes = #preferences\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\tInt,\t\t\t-- Ballot identifier\n    candidate: Int,\t\t-- Candidate identifier\n    ranking: Int\t\t\t-- Ranking of candidate on ballot paper\n} {\n\t0 < ranking\n    some b: Ballot | b.identifier = ballot and this in b.votes.elems and ranking <= b.length\n    some c: Candidate | c.identifier = candidate\n    ranking <= #Election.candidates\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.top = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Non repeating ranking in ballots\nassert wellFormedRanking {\n}\ncheck wellFormedRanking for 6\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred TwentyBallots {\n\t#BallotBox.ballots = 20\n}\nrun TwentyBallots for 20 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c0,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc0.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred TenDifferentBallots {\n\t#BallotBox.ballots = 10\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun TenDifferentBallots for 10\n\n\n but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n\npred LongBallot {\n\tsome b: Ballot | b.length = 20\n}\nrun LongBallot for 20 int\n","old_contents":"-- (c) Dermot Cochran, 2010, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\n-- http:\/\/www.itu.dk\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier: Int,               -- Unique identifier for this candidate\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t\t-- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate,\n  votes:\t\t\t\tseq Vote,\t\t\t-- Fragments of the vote\n  top:\t\t\t\tInt,  \t\t\t\t\t-- Unique identifier of first preference candidate\n  length:\t\t\tInt  \t\t\t\t\t-- Number of preferences expressed on ballot\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies length = 1\n\ttop = preferences.first.identifier\n    length = #preferences\n    0 < length\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = top and v.ranking = 1\n    all v: Vote | v in votes.elems implies v.ballot = identifier\n    votes.first.candidate = preferences.first.identifier\n    votes.last.candidate = preferences.last.identifier\n    votes.first.ranking = 1\n    votes.last.ranking = length\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\tInt,\t\t\t-- Ballot identifier\n    candidate: Int,\t\t-- Candidate identifier\n    ranking: Int\t\t\t-- Ranking of candidate on ballot paper\n} {\n\t0 < ranking\n    some b: Ballot | b.identifier = ballot and this in b.votes.elems and ranking <= b.length\n    some c: Candidate | c.identifier = candidate\n    ranking <= #Election.candidates\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\t\tset Candidate,\n   \twinners: \t\t\t\tset Candidate,\n\teliminated: \t\t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- A collection of ballots cast in an election\none sig BallotBox {\n\tballots: set Ballot\n} {\n    0 < #ballots\n\tall b: Ballot | b in ballots\n}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact noStrayBallots {\n\tall b: Ballot | b in BallotBox.ballots\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.top = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | \n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred TwentyFiveBallots {\n\t#BallotBox.ballots = 25\n}\nrun TwentyFiveBallots for 25 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c0,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc0.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred FifteenDifferentBallots {\n\t#BallotBox.ballots = 15\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun FifteenDifferentBallots for 15 but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n\n-- Utility functions\n\nfun length [b : Ballot] : Int {\n  #b.preferences\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"3ca0a89d84ec008efeb3fdafc72ba24ab6ed659c","subject":"making","message":"making\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"Peterson_OoO.als","new_file":"Peterson_OoO.als","new_contents":"open util\/ordering[Time]\n\nabstract sig Command {}\n\none sig MFence{}\none sig LFence{}\none sig SFence{}\n\nabstract sig Load extends Command{}\nabstract sig Store extends Command{}\nsig Movl extends Store{\n\tvalue: Int,\n\ttarget: (0 + 1) -> Time\t\n}\nsig CmplJe extends Load{\n\tvalue: Int,\n\ttarget: (0 + 1) -> Time,\n\tjump_to: Int\n}\none sig CriticalSection extends Store{}\n\nfun movl(_value: Int, _target: (0 + 1) -> Time): Movl{\n\t{m: Movl | m.value = _value and m.target = _target}\n}\nfun cmpl_je(_value: Int, _target: (0 + 1) -> Time,\n\t\t_jump_to: Int): CmplJe{\n\n\t{m: CmplJe | \n\t\tm.value = _value and\n\t\tm.target = _target and\n\t\tm.jump_to = _jump_to\n\t}\n}\n\nsig Time{\n\tpc: lone Int\n}\n\nfact{\n\tno last.pc\n}\n\nsig R{\n\t\/\/ \u305d\u306e\u6642\u523b\u306b\u307e\u3060\u5b9f\u884c\u3055\u308c\u3066\u3044\u306a\u3044\u30b3\u30de\u30f3\u30c9\u306e\u5217\n\tcode: (0 + 1) -> Int -> Command -> Time,\n\t\/\/ memory\n\tturn: (0 + 1) -> Time,\n\tflag: (0 + 1) -> (0 + 1) -> Time\n\t\/\/\n}{\n\tall t: Time {\n\t\tone turn.t\n\t\tone flag[0].t\n\t\tone flag[1].t\n\t\t(turn + flag[0] + flag[1]).t in (0 + 1) \n\t\tno flag[Int - 0 - 1].t\n\t}\n\n\tlet t = first {\n\t\t\/\/ \u6700\u521d\u306f\u30e1\u30e2\u30ea\u306f\u307f\u3093\u306a0\n\t\tturn.t = 0\n\t\tflag[0].t = 0\n\t\tflag[1].t = 0\n \t}\n\n\tcode.first = (0 -> (\n\t\t(0 -> movl[1, flag[0]]) + \n\t\t(1 -> movl[1, turn]) + \n\t\t(2 -> cmpl_je[0, flag[1], 4]) + \n\t\t(3 -> cmpl_je[1, turn, 2]) +\n\t\t(4 -> CriticalSection) + \n\t\t(5 -> movl[0, flag[0]]) +\n\n\t\t(6 -> movl[1, flag[0]]) + \n\t\t(7 -> movl[1, turn]) + \n\t\t(8 -> cmpl_je[0, flag[1], 10]) + \n\t\t(9 -> cmpl_je[1, turn, 8]) +\n\t\t(10 -> CriticalSection) + \n\t\t(11 -> movl[0, flag[0]])\n\t) + (1 -> (\n\t\t(0 -> movl[1, flag[1]]) + \n\t\t(1 -> movl[1, turn]) + \n\t\t(2 -> cmpl_je[0, flag[0], 4]) + \n\t\t(3 -> cmpl_je[1, turn, 2]) +\n\t\t(4 -> CriticalSection) + \n\t\t(5 -> movl[0, flag[1]])\n\t)))\n}\n\/*\nLBB4_1:\n        movl    $1, _flag0(%rip)\n        movl    $1, _turn(%rip)\nLBB4_2:\n        cmpl    $0, _flag1(%rip)\n        je      LBB4_4\n        cmpl    $1, _turn(%rip)\n        je      LBB4_2\nLBB4_4:\n        incl    _counter(%rip)\n        movl    $0, _flag0(%rip)\n*\/\n\n\npred InOrder {\n\t\/\/ \u9078\u3070\u308c\u305f\u547d\u4ee4\u3088\u308a\u524d\u306b\u672a\u5b9f\u884c\u306e\u547d\u4ee4\u306f\u306a\u3044\n\t\/\/ \u53e4\u304d\u826f\u304d\u6642\u4ee3\u306e\u30a4\u30f3\u30aa\u30fc\u30c0\u30fc\u5b9f\u884c\n}\npred Intel {\n\t\/\/ \u540c\u4e00\u30e1\u30e2\u30ea\u306b\u5bfe\u3059\u308bLoad\u3068Store\u306f\u5b9f\u884c\u9806\u3092\u5165\u308c\u66ff\u3048\u306a\u3044\n\t\/\/ \u591a\u5206Intel\u306f\u3053\u306e\u6319\u52d5\n}\npred step {\n\t\/\/ \u5404\u6642\u523b\u306b\u5b88\u3089\u308c\u3066\u3044\u308b\u3079\u304d\u5236\u7d04\n\t\n}\nrun {\n} for 5 Int\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'Peterson_OoO.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"fe9e0ce63d7ff6272b2c01ac17124a5e99e9dbf5","subject":"Split long line","message":"Split long line\n\n","repos":"AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog,AppliedLogicSystems\/ALSProlog","old_file":"manual\/copying.als","new_file":"manual\/copying.als","new_contents":"Applied Logic Systems, Inc.'s \"Copying ALS\"\n\nThis is the file \"Copying ALS\".  It applies to files which are marked\n\n    Copyright (c) xxxx Applied Logic Systems, Inc.\n    Distribution rights per Copying ALS\n\nThis document is Copyright (c) 1996-9 Applied Logic Systems, Inc., and may\nbe distributed verbatim, but changing it is not permitted.\n\nYou may freely copy, modify, and distribute any source file marked\n\n    Copyright (c) xxxx Applied Logic Systems, Inc.\n    Distribution rights per Copying ALS\n\nsubject to the following restrictions:\n\ni)  You must preserve intact any and all existing copyright and\/or authorship \ninformation in any of the files you redistribute.  If you modify a source file,\nyou must add a notice to that effect to the authorship information in the\nsource file.  If you substantially merge one of the files into another file, \nyou must transfer the existing copyright and\/or authorship information\nto the newly merged file.\n\nii) You may freely incorporate these files in a binary application distributed\nunder the terms of the \"ALS Binary License\", either bound into the application,\nor as \"obp\" files to be loaded.  Your are strongly encouraged to abide by\nthe spirit of the free software concept, and to\n   a) Provide authorship attributions as appropriate in your printed and\/or\n      on-line documentation, and on your start-up screen(s) if this is\n      appropriate, and to\n   b) Provide sufficient information so that the recepients of your programs\n      can obtain the sources to the programs you incorporated.\n\niii) No act of distribution and\/or incorporation of any of these files, in whole\nor in part, will give you proprietary rights or ownership over these files, in\nwhole or in part.  Any attempt to exercise such rights will automatically\nabrogate your rights under this license.\n\nWARRANTY\nThis program or code file is provided \"as is \" without warranty of any kind, \neither expressed or implied, including, but not limited to, implied warranties \nof merchantability and fitness for a particular purpose.  You assume the \nentire risk as to the selection of this program to achieve your intended \nresults and for the installation, use, performance, and results obtained \nthrough the use of this program or code.\n","old_contents":"Applied Logic Systems, Inc.'s \"Copying ALS\"\n\nThis is the file \"Copying ALS\".  It applies to files which are marked\n\n    Copyright (c) xxxx Applied Logic Systems, Inc.\n    Distribution rights per Copying ALS\n\nThis document is Copyright (c) 1996-9 Applied Logic Systems, Inc., and may\nbe distributed verbatim, but changing it is not permitted.\n\nYou may freely copy, modify, and distribute any source file marked\n\n    Copyright (c) xxxx Applied Logic Systems, Inc.\n    Distribution rights per Copying ALS\n\nsubject to the following restrictions:\n\ni)  You must preserve intact any and all existing copyright and\/or authorship \ninformation in any of the files you redistribute.  If you modify a source file, you must add a notice to that effect to the authorship information in the\nsource file.  If you substantially merge one of the files into another file, \nyou must transfer the existing copyright and\/or authorship information\nto the newly merged file.\n\nii) You may freely incorporate these files in a binary application distributed\nunder the terms of the \"ALS Binary License\", either bound into the application,\nor as \"obp\" files to be loaded.  Your are strongly encouraged to abide by\nthe spirit of the free software concept, and to\n   a) Provide authorship attributions as appropriate in your printed and\/or\n      on-line documentation, and on your start-up screen(s) if this is\n      appropriate, and to\n   b) Provide sufficient information so that the recepients of your programs\n      can obtain the sources to the programs you incorporated.\n\niii) No act of distribution and\/or incorporation of any of these files, in whole\nor in part, will give you proprietary rights or ownership over these files, in\nwhole or in part.  Any attempt to exercise such rights will automatically\nabrogate your rights under this license.\n\nWARRANTY\nThis program or code file is provided \"as is \" without warranty of any kind, \neither expressed or implied, including, but not limited to, implied warranties \nof merchantability and fitness for a particular purpose.  You assume the \nentire risk as to the selection of this program to achieve your intended \nresults and for the installation, use, performance, and results obtained \nthrough the use of this program or code.\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"fd2baee330e7342435ecc02488188e199e7da726","subject":"mardar 2","message":"mardar 2\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"mardar2.als","new_file":"mardar2.als","new_contents":"open util\/ordering[Time]\n\n\/\/\u767b\u5834\u4eba\u7269\nabstract sig Person {\n\tbelief: Person -> Person -> Place -> Time,\n\t\/\/ \u6700\u7d42\u7684\u306b\u3069\u3053\u3078\u884c\u3063\u305f\u304b\n\treal_place: Place -> Time,\n\tis_killer: lone Person \/\/ as bool\n}{\n\tall t: Time | lone real_place.t\n}\n\none sig Me extends Person{} \/\/ \u8aad\u8005\none sig PHP extends Person{} \/\/ \u6bba\u3055\u308c\u5f79\none sig Perl extends Person{}\none sig Python extends Person{}\none sig Ruby extends Person{}\none sig JS extends Person{}\n\nabstract sig Time {}\nsig BeforeMardar extends Time {\n\t\/\/ \u5404\u6642\u523b\u306b\u8ab0\u304b\u304c\u8ab0\u304b\u306b\u81ea\u5206\u304c\u3069\u3053\u306b\u884c\u304f\u304b\u3092\u4f1d\u3048\u308b\n\twho: some Person,\n\ttargets: some Person,\n\twhere: Place\n}{\n\t\/\/ \u8a71\u3057\u624b\u306f\u805e\u304d\u624b\u306b\u542b\u307e\u308c\u308b\n\twho in targets\n\t\/\/ \u805e\u304d\u624b\u304c\u8a71\u3057\u624b\u3068\u540c\u4e00\u3067\u306f\u3044\u3051\u306a\u3044\n\tsome targets - who\n}\none sig Mardar extends Time {}\nsig AfterMardar extends Time {}\n\nsig Place {}\n\nfact {\n\t\/\/ \u540c\u3058\u4eba\u304c\u8907\u6570\u7b87\u6240\u306b\u5b58\u5728\u3059\u308b\u3068\u4fe1\u3058\u308b\u3053\u3068\u306f\u306a\u3044\n\tall p1, p2, p3: Person, t: Time{\n\t\tlone (p1.belief)[p2, p3].t\n\t}\n}\n\npred init(t: Time){\n\tall p: Person {\n\t\tno p.belief.t\n\t}\n\tall p: Person {\n\t\tno p.real_place.t\n\t}\n}\n\npred no_change(t: Time, changable: univ -> Time){\n\tchangable.t = changable.(t.prev)\n}\n\npred step(t', t: Time){\n\tall p: Person {\n\t\t(p in t.targets) => {\n\t\t\t\/\/ \u805e\u3044\u305f\u4ebap\u306e\u4fe1\u5ff5\u304c\u4e0a\u66f8\u304d\u3055\u308c\u308b\n\t\t\t\/\/ \u4e00\u7dd2\u306b\u805e\u3044\u3066\u3044\u305f\u4eba(\u81ea\u5206\u3092\u542b\u3080)\u306e\u4fe1\u5ff5\u304c\u4e0a\u66f8\u304d\u3055\u308c\u308b\n\t\t\tall p2: Person {\n\t\t\t\t(p2 in t.targets) => {\n\t\t\t\t\tp.belief[p2].t = p.belief[p2].t' ++ (t.who -> t.where)\n\t\t\t\t}else{\n\t\t\t\t\t\/\/ \u305d\u308c\u4ee5\u5916\u306f\u5909\u5316\u3057\u306a\u3044\n\t\t\t\t\tp.belief[p2].t = p.belief[p2].t'\n\t\t\t\t}\n\t\t\t}\n\t\t}else{\n\t\t\t\/\/ \u805e\u304d\u624b\u4ee5\u5916\u306f\u4fe1\u5ff5\u304c\u5909\u5316\u3057\u306a\u3044\n\t\t\tp.belief.t = p.belief.t'\n\t\t}\n\t\t(p in t.who) => {\n\t\t\t\/\/ \u81ea\u5206\u304c\u8a00\u3063\u305f\u3068\u3053\u308d\u306b\u884c\u304f(\u5618\u306f\u3064\u304b\u306a\u3044)\n\t\t\t\/\/ \u72af\u4eba\u306f\u3053\u308c\u3092\u5b88\u3089\u306a\u304f\u3066\u3088\u3044\u3088\u3046\u306b\u7de9\u3081\u3066\u3082\u826f\u3044\n\t\t\tp.real_place.t = t.where\n\t\t}else{\n\t\t\tp.real_place.t = p.real_place.t'\n\t\t}\n\t}\n}\n\npred on_mardar(t', t: Time){\n\tall p: Person {\n\t\tlet go = real_place.t',\n\t\t\t\tplace = p.go, \n\t\t\t\tmeets = go.place {\n\t\t\t\/\/ \u5168\u54e1\u3069\u3053\u304b\u306b\u306f\u884c\u3063\u305f\n\t\t\tone place\n\t\t\tp.real_place.t = place \/\/ \u72af\u884c\u6642\u523b\u306b\u305d\u3053\u306b\u3044\u305f\n\t\t\t\/\/ \u72af\u884c\u6642\u523b\u306b\u540c\u3058\u5834\u6240\u306b\u884c\u3063\u305f\u4eba\u306f\u4fe1\u5ff5\u304c\u66f4\u65b0\u3055\u308c\u308b\n\t\t\tp.belief[p].t = p.belief[p].t' ++ (meets -> place)\n\t\t}\n\t}\n\t\/\/ \u72af\u4eba\u3068\u6bba\u3055\u308c\u5f79\u3060\u3051\u304c\u72af\u884c\u6642\u523b\u306b\u540c\u3058\u5834\u6240\u306b\u3044\u305f\n\tPHP.real_place.t.~(real_place.t) = PHP + (is_killer.univ)\n}\n\nfact {\n\tBeforeMardar = Mardar.prevs\n\tAfterMardar = Mardar.nexts\n\tinit[first]\n\tall t: BeforeMardar - first{\n\t\tstep[t.prev, t]\n\t}\n\ton_mardar[Mardar.prev, Mardar]\n\t\/\/final[last.prev, last]\n}\n\n\/\/ who\u3068\u540c\u3058\u5834\u6240\u306b\u3044\u305f\u53ef\u80fd\u6027\u304c\u3042\u308b\u306e\u306f\uff1f\nfun same_place(self: Person, who: Person): Person{\n\tlet where = (self.belief)[self].last {\n\t\twho.where.~where + {p: Person | no p.where} - who\n\t}\n}\n\n\nrun {\n\tone is_killer \/\/ \u72af\u4eba\u306f\u4e00\u4eba\u3060\u3051\n\t\/\/ Ruby, Python, PHP, \u8aad\u8005\u306f\u72af\u4eba\u3067\u306f\u306a\u3044\n\tno (Ruby + Python + Me + PHP).is_killer\n\t\/\/ \u72af\u4eba\u306f\u81ea\u5206\u4ee5\u5916\u306f\u307f\u306a\u81ea\u5206\u304c\u72af\u4eba\u3060\u3068\u8003\u3048\u306a\u3044\u3068\u8003\u3048\u3066\u3044\u308b\n\tlet killer = is_killer.univ {\n\t\tall other: Person - killer - PHP{\n\t\t\tlet where = (killer.belief)[other].last {\n\t\t\t\tkiller not in PHP.where.~where\n\t\t\t}\n\t\t}\n\t}\n\t\/\/ \u8aad\u8005\u306f\u5f53\u521dPython\u304bRuby\u304c\u72af\u4eba\u3060\u3068\u8003\u3048\u3066\u3044\u308b\n\tsame_place[Me, PHP] = Python + Ruby\n\t\/\/ Ruby\u306fPython\u304c\u72af\u4eba\u3060\u3068\u3001B\u306fA\u304c\u72af\u4eba\u3060\u3068\u8003\u3048\u3066\u3044\u308b\n\tsame_place[Ruby, PHP] = Python\n\tsame_place[Python, PHP] = Ruby\n\t\/\/ \u8aad\u8005\u304cPython\u3068Ruby\n} for 7 Time, 3 Place\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'mardar2.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"9c7ddd8d5f48f30cdf4f3bfaba4359a00cc5cc45","subject":"Edit alloy model","message":"Edit alloy model\n","repos":"FrancescoZ\/PowerEnJoy","old_file":"Alloy\/PowerEnjoy.als","new_file":"Alloy\/PowerEnjoy.als","new_contents":"module PowEnj \n\/\/SIGNATURES\nsig Position\n{\nlatitude:Int, \/\/should  be float\nlongitude:Int \/\/should  be float\n}\n\nsig Visitor{\n}\n\nsig DriverLicense{\ncode:String,\nexpiration:Int,\ndrivername:String,\ndriversurname:String\n}\n\nsig User\n{\nrentedCar: one Car, \/\/field that indicates which car the user is using at the moment\npayInfo: some Payment,\nposition: one Position,\nname:String,\nsurname:String,\nlicense: one DriverLicense,\nemail:String\n}\n\nsig Rent\n{\nstartTime = Int, \/\/should be Float\nrentedCar: one Car,\nRenter: one User,\napplyDiscount: Int,\napplyOvertax: Int, \ncarsAvailable: set Car,\nmaxDistance: Int, \/\/should be float\ninitialPos: Position,\nfinalPos: Position, \ntotalCost:Int,\npassengers: Int \/\/ don\u2019t remember if the class (and consequently the signature) should exist or               we decide to remove it; in this case, change Passenger with User\n}\n\nsig Plug{}\nabstract sig Station{\nparkedCar:set Car,\npositoin:one Position\n}\nsig  Parking extends Station{\ndistanceFromCharge:Int\n}\nsig safeArea extends Station\n{\ncarsToCharge: set Car,\nplugAvailable: set Plug,\n}\n\nsig Payment\n{\ntransactionCode: Int,\npayInfo : set Payment\n}\nsig Car\n{\nuser: one User,\nposition:one Position,\nbattery: Int,\nplate: String\n}\n\n\nfact driverIsUnique \n{\n\/\/can\u2019t exist two renters who rent the same car at the same time\nall r1,r2:Rent | (r1.Renter!=r2.Renter) => r1.rentedCar != r2.rentedCar and r1.startTime!=r2.startTime\n}\n\nfact applyDiscountForBattery\n{\n\/\/if the battery at the end of the trip is at least at 50%, apply a discount\n\/\/not sure if it\u2019s possible to use this notation!!\nall c:Car, r:Rent | (c.battery>=50) => r.applyDiscount\n\n\/\/alternatively, we can suppose that the attribute \u201cisCharge\u201d is set to a specific value for every kind of discount appliable\nall c:Car, r:Rent | (c.isCharge) => r.applyDiscount\n\n}\nfact applyDiscountForArea\n{\n\/\/if the car at the end of trip is let in a service station, apply a discount\nall r:Rent, s:ServiceStation | (r.finalPosition=s.position) => r.applyDiscount\n}\n\nfact applyOvertax\n{\nall c:Car, r:Rent, s:Parking | (!(c.isCharge)) => r.applyOvertax or  ((s.distanceFromCharge)>r.maxDistance) => r.applyOvertax\n}\n\n\nfact plateIsUnique {\nall  c1,c2: Car | (c1 != c2) => c1.plate != c2.plate\n}\n\n\nfact userIsUnique {\nall u1,u2: User | u1 != u2 => u1.email != u2.email\n}\n\nfact pathDriverHasAStartAndEnd \n{\t\nall r:Rent | (r.RentedCar) => r.InitialPosition and r.finalPosition\n\n}\n\n\/\/30.10.2016\n\n\nfact rentIfAvailable\n{\nall u:user, r:rent | r.startTime  u.rentedCar in r.carsAvailable\n}\n\nfact noSafeAreaParkNoEndTrip\n{\n\/\/I can terminate my trip if and only if my car\u2019s position coincides with a parking position or a safa area position\nall c:Car, r:Rent, s:Station | r.endTime <=> (c.position = s.position)\n}\n\nfact applyDiscountForPassNumb\n{\n\/\/for every trip that involves a number of passengers >=3, apply a discount for the renter\nall r:Rent | (#r.passengers>= 3) => r.applyDiscount\n}\n\nassert userMustHaveAtLeastOnePaymentInfo\n{\nno u:User, p:Payment | u.payInfo not in p.payInfo\n} \n\n\n","old_contents":"module PowEnj \n\/\/SIGNATURES\nsig Position\n{\nlatitude:Int, \/\/should  be float\nlongitude:Int \/\/should  be float\n}\n\nabstract sig User\n{\nrentedCar: one Car, \/\/field that indicates which car the user is using at the moment\npayInfo: some Payment,\nposition: one Position\n}\n\nfact driverIsUnique \n{\n\/\/can\u2019t exist two renters who rent the same car at the same time\nall r1,r2:Rent | (r1.Renter!=r2.Renter) => r1.rentedCar != r2.rentedCar and r1.startTime!=r2.startTime\n}\n\nfact applyDiscountForBattery\n{\n\/\/if the battery at the end of the trip is at least at 50%, apply a discount\n\/\/not sure if it\u2019s possible to use this notation!!\nall c:Car, r:Rent | (c.battery>=50) => r.applyDiscount\n\n\/\/alternatively, we can suppose that the attribute \u201cisCharge\u201d is set to a specific value for every kind of discount appliable\nall c:Car, r:Rent | (c.isCharge) => r.applyDiscount\n\n}\nfact applyDiscountForArea\n{\n\/\/if the car at the end of trip is let in a service station, apply a discount\nall r:Rent, s:ServiceStation | (r.finalPosition=s.position) => r.applyDiscount\n}\n\nfact applyOvertax\n{\nall c:Car, r:Rent, s:ServiceStation | (!(c.isCharge)) => r.applyOvertax or  ((s.position \u2013 c.position)>r.maxDistance) => r.applyOvertax\n}\n\nsig Rent\n{\nstartTime = Int, \/\/should be Float\nrentedCar: set Car,\nRenter: one User,\napplyDiscount: one User,\napplyOvertax: one User, \ncarsAvailable: set Car,\nmaxDistance: Int, \/\/should be float\ninitialPos: Position,\nfinalPos: Position, \npassengers: set Passenger \/\/ don\u2019t remember if the class (and consequently the signature) should exist or               we decide to remove it; in this case, change Passenger with User\n}\n\nsig Car\n{\nuser: one User,\nposition:Position,\nbattery: Int,\nplate: String\n}{#passengers>0}\n\nfact plateIsUnique {\nall  c1,c2: Car | (c1 != c2) => c1.plate != c2.plate\n}\nsig Plug{}\nabstract sig safeArea {}\nsig serviceStation extends safeArea\n{\ncarsToCharge: set Car,\nplugAvailable: set Plug,\nposition:Position\n}\nsig Payment\n{\ntransactionCode: Int,\npayInfo : set Payment\n}\n\nfact userIsUnique {\nall u1,u2: User | u1 != u2 => u1.email != u2.email\n}\n\nfact pathDriverHasAStartAndEnd \n{\t\nall r:Rent | (r.RentedCar) => r.InitialPosition and r.finalPosition\n\n}\n\n\/\/30.10.2016\n\n\nfact rentIfAvailable\n{\nall u:user, r:rent | r.startTime  u.rentedCar in r.carsAvailable\n}\n\nfact noSafeAreaParkNoEndTrip\n{\n\/\/I can terminate my trip if and only if my car\u2019s position coincides with a parking position or a safa area position\nall c:Car, r:Rent, p:Parking, s:SafeArea | r.endTime <=> (c.position = p.position) or (c.position = s.position)\n}\n\nassert allCarsWithPosition\n{\nall c:Car | c.position\n}\n\nfact applyDiscountForPassNumb\n{\n\/\/for every trip that involves a number of passengers >=3, apply a discount for the renter\nall r:Rent | (#r.passengers>= 3) => r.applyDiscount\n}\n\nassert userMustHaveAtLeastOnePaymentInfo\n{\nno u:User, p:Payment | u.payInfo not in p.payInfo\n} \n\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"da8b5936c5115ae2636ab763e86f072a9849f3e7","subject":"Revert \"mappings: remove unused experiment\"","message":"Revert \"mappings: remove unused experiment\"\n\nThis reverts commit e4da5cad5d3f7878bb65ab8b9704c9ab4a8951c0.\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_x86a.als","new_file":"mappings\/c11_x86a.als","new_contents":"open ..\/archs\/exec_C[SE] as SW\nopen ..\/archs\/exec_x86[HE] as HW\n\n\/*\nA C11-to-x86 mapping that implements SC atomics using \natomic hardware events. Currently broken.\n*\/\n\nmodule c11_x86a[SE,HE]\n\nfun myfr_init [X:HW\/Exec_X86] : HE->HE {\n  ((stor[X.R]) - ((~(X.rf)) . (X.rf))) . (X.sloc) . (stor[X.W])\n}\n\nfun myfr [X:HW\/Exec_X86] : HE->HE {\n  (((myfr_init[X]) + ((~(X.rf)) . (X.co))) - iden)\n}\n\npred apply_map[X:SW\/Exec_C, X':HW\/Exec_X86, map:SE->HE] {\n\n  \/\/ two SW events cannot be compiled to a single HW event\n  map in X.EV lone -> X'.EV\n    \n  \/\/ HW reads\/writes cannot be invented by the compiler\n  all e : X'.(R+W) | one e.~map\n\n  \/\/ SW reads\/writes cannot be discarded by the compiler\n  all e : X.(R+W) | some e.map\n\n  \/\/ a read compiles to a single non-locked read\n  all e : X.(R - W) {\n    one e.map\n    e.map in X'.R - (X'.atom).univ\n  }\n    \n  \/\/ a non-SC write compiles to a single non-locked write\n  all e : X.((W - R) - SC) {\n    one e.map\n    e.map in X'.W - univ.(X'.atom)\n  }\n\n  \/\/ an SC write compiles to an RMW\n  all e : X.((W - R) & SC) | some disj e1,e2 : X'.EV {\n    e.map = e1 + e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n\n    \/\/ read does not observe a too-late value\n    (e2 -> e1) not in ((X'.co) . (X'.rf))\n\n    \/\/ read does not observe a too-early value\n    (e1 -> e2) not in ((myfr[X']) . (X'.co))\n  }\n\n  \/\/ RMWs compile to locked RMWs\n  all e : X.(R & W) | some disj e1, e2 : X'.EV {\n    e.map = e1 + e2\n    e1 in X'.R\n    e2 in X'.W\n    (e1 -> e2) in X'.atom & imm[X'.sb]\n  }\n\n  \/\/ SC fences compile to full fences\n  all e : X.(F & SC) {\n    (X.sb) . (stor[e]) . (X.sb) = map . (mfence[none->none,X']) . ~map\n  }\n \n  \/\/ sb edges are preserved (but more may be introduced)\n  X.sb in map . (X'.sb) . ~map\n  \n  \/\/ rf edges (except those entering the RMWs induced\n  \/\/ by SC writes) are preserved\n  let newR = X'.R & map[X.((W - R) & SC)] |\n  X'.rf - (X'.EV -> newR) = ~map . (X.rf) . map\n\n  \/\/ the mapping preserves co\n  X.co = map . (X'.co) . ~map\n\n  \/\/ the mapping preserves address dependencies\n  X.ad = map . (X'.ad) . ~map\n\n  \/\/ the mapping preserves data dependencies\n  X.dd = map . (X'.dd) . ~map\n\n  \/\/ the mapping preserves locations\n  X.sloc = map . (X'.sloc) . ~map\n    \n  \/\/ the mapping preserves control dependencies\n  X.cd in map . (X'.cd) . ~map\n\n  \/\/ the mapping preserves threads\n  X.sthd = map . (X'.sthd) . ~map\n\n  \/\/ the mapping preserves transactions\n  X.stxn = map . (X'.stxn) . ~map\n  X.ftxn = map . (X'.ftxn) . ~map\n\n}\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'mappings\/c11_x86a.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"feda141ca2352889fc11cdceeae5135d6db932c8","subject":"http:\/\/d.hatena.ne.jp\/nishiohirokazu\/20120407\/1333763040","message":"http:\/\/d.hatena.ne.jp\/nishiohirokazu\/20120407\/1333763040\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude16.als","new_file":"etude16.als","new_contents":"open util\/ordering[Time]\n\nsig Time {}\n\nsig Person {\n\tstate: State -> Time,\n}\n\nenum State {Married, NotMarried}\n\npred init (t: Time) {\n  all p: Person | p.state.t = NotMarried\n}\n\npred step (t, t': Time) {\n\tsome disj p1, p2 : Person {\n\t\t{\n\t\t\t\/\/ marrige\n\t\t\tp1.state.t = NotMarried and p2.state.t = NotMarried\n\t\t\tp1.state.t' = Married and p2.state.t' = Married\n\t\t} or {\n\t\t\t\/\/ divorce\n\t\t\tp1.state.t = Married and p2.state.t = Married\n\t\t\tp1.state.t' = NotMarried and p2.state.t' = NotMarried\n\t\t}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 3 Person, 5 Time\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'etude16.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"78198c963089b784f988f0babd3c8335daf9acbe","subject":"make puzzle","message":"make puzzle\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"make_puzzle2.als","new_file":"make_puzzle2.als","new_contents":"enum Person {A, B, C, D, E}\nenum Bool {T, F}\n\n\/\/ \u5236\u7d04\nabstract sig Constrain{}\n\/\/ \u300cX\u304c\u300eY\u306f\u5618\u3064\u304d\u3060\u300f\u3068\u8a00\u3063\u305f\u300d\u3068\u3044\u3046\u5236\u7d04\nsig is_liar extends Constrain {\n\tby: one Person,\n\twho: one Person\n}{\n\tby not in who\n}\n\nfact {\n\t\/\/ \u9055\u3046\u4eba\u306f\u9055\u3046\u3053\u3068\u3092\u8a00\u3046\n\tall disj p1, p2: Person {\n\t\tby.p1 != by.p2\n\t}\n\t\/\/ \u4e00\u4eba\u306e\u4eba\u306f3\u4eba\u4ee5\u4e0a\u3092\u5618\u3064\u304d\u547c\u3070\u308f\u308a\u3057\u306a\u3044\n\tall p: Person {\n\t\t#{by.p} < 3\n\t}\n}\n\n\n\/\/ \u4e0e\u3048\u3089\u308c\u305fx, y, z\u306e\u771f\u507d\u5024\u306e\u5bfe\u304c\u5236\u7d04\u3092\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u8fd4\u3059\n\/\/ \u5f15\u6570\u3092\u5909\u3048\u3066\u8a66\u3059\u305f\u3081\u3001\u8ff0\u8a9e\u306b\u304f\u304f\u308a\u51fa\u3055\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\npred satisfy(cs: Constrain, a, b, c, d, e: Bool){\n\tlet p2b = (A -> a) + (B -> b) + (C -> c) +\n\t\t(D -> d) + (E -> e)\n\t\t{\n\t\t\/\/ \u5618\u3064\u304d\u306e\u4eba\u6570\u3092\u6307\u5b9a\n\t\t#{p2b.F} = 3\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5236\u7d04\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\t\/\/ \u4eca\u306f\u300cwho\u306f\u5618\u3064\u304d\u300d\u3057\u304b\u306a\u3044\n\t\tall c: cs{\n\t\t\t(c.by.p2b = T) => (c.who.p2b = F)\n\t\t}\n\t}\n}\n\n\n\nrun {\n\tlet answers = {\n\t\ta, b, c, d, e: Bool | \n\t\tsatisfy[Constrain, a, b, c, d, e]}\n\t\t{\n\n\t\t\/\/ \u89e3\u306f\u4e00\u3064\n\t\tone answers\n\n\t\t\/\/ \u3069\u306e\u5236\u7d04\u3092\u53d6\u308a\u9664\u3044\u3066\u3082\u89e3\u306f\u4e00\u3064\u3067\u306f\u306a\u304f\u306a\u308b\n\t\tall x: Constrain {\n\t\t\tnot one {\n\t\t\t\ta, b, c, d, e: Bool | \n\t\t\t\tsatisfy[Constrain - x, a, b, c, d, e]\n\t\t\t}\n\t\t}\n\t}\n} for 10\n\n","old_contents":"enum Person {X, Y, Z}\nenum Bool {T, F}\n\n\/\/ \u5236\u7d04\nabstract sig Constrain{}\n\/\/ \u300cX\u304c\u300eY\u306f\u5618\u3064\u304d\u3060\u300f\u3068\u8a00\u3063\u305f\u300d\u3068\u3044\u3046\u5236\u7d04\nsig is_liar extends Constrain {\n\tby: one Person,\n\twho: some Person\n}\n\n\/\/ \u4e0e\u3048\u3089\u308c\u305fx, y, z\u306e\u771f\u507d\u5024\u306e\u5bfe\u304c\u5236\u7d04\u3092\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u8fd4\u3059\n\/\/ \u5f15\u6570\u3092\u5909\u3048\u3066\u8a66\u3059\u305f\u3081\u3001\u8ff0\u8a9e\u306b\u304f\u304f\u308a\u51fa\u3055\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\npred satisfy(cs: Constrain, x, y, z: Bool){\n\tlet p2b = (X -> x) + (Y -> y) + (Z -> z) {\n\t\t\/\/ only one liar\n\t\tone p2b.F\n\t\t\/\/ \u3059\u3079\u3066\u306e\u5236\u7d04\u306b\u3064\u3044\u3066\u3001\u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5145\u8db3\u3055\u308c\u308b\n\t\t\/\/ \u4eca\u306f\u300cwho\u306f\u5618\u3064\u304d\u300d\u3057\u304b\u306a\u3044\n\t\tall c: cs{\n\t\t\t(c.by.p2b = T) => (c.who.p2b = F)\n\t\t}\n\t}\n}\n\nrun {\n\tlet answers = {\n\t\tx, y, z: Bool | \n\t\tsatisfy[Constrain, x, y, z]}{\n\n\t\tone answers\n\t}\n}\n\nfact {\n\tall c: Constrain {\n\t\tc.by not in c.who\n\t\tone c.who\n\t}\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"1dece3b602a38ffadf446b68bcd8e7164372efbb","subject":"updated alloy","message":"updated alloy\n","repos":"cattaneo-riccardo\/PowerEnjoy","old_file":"Alloy\/powerenjoy_model.als","new_file":"Alloy\/powerenjoy_model.als","new_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 10\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 10\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\thour: Int,\n\tminute: Int\n} {\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n}\n\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t'.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t == t'\npred areEqual[t, t': Time] {\n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if t - t' <= 1h\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\tor\n\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n}\n\n\/\/ Returns true if t >= t'\npred comesAfterOrEqual[t, t': Time] {\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 4\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 4)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 4\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 4)\n}\n\npred isFarFromSpecialSafeArea[area: Safe_Area] {\n\t\t\tall ssa: Special_Safe_Area |(\n\t\t\t(int ssa.center.latitude >= int area.center.latitude\n\t\t\timplies \n\t\t\t\tsub[ssa.center.latitude, area.center.latitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.latitude, ssa.center.latitude] > 15\n\t\t\t)\n\t\t\tand\n\t\t\t(int ssa.center.longitude >= int area.center.longitude implies \n\t\t\t\tsub[ssa.center.longitude, area.center.longitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.longitude, ssa.center.longitude] > 15)\n\t)\n}\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/ CurrentTime is after all the times in the model\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/A car can be released plugged only if it is released in a Special Safe Area\nfact pluggedOnlyInSafeArea{\n\tall rid: Ride |(\n\t\trid.release_plugged=True\n\t\timplies\n\t\t(rid.release_area in Special_Safe_Area)\n\t)\n}\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\/\/A user can reserve a car only if it has a battery level grater than 80%\nfact carReservableCondition {\n\tall r: Reservation | (\n\t\t(no r.ride and r.expired=False)\n\t\timplies\n\t\tr.car.battery_level>8\n\t)\n}\n\/\/ A car is available if it has no reservations open and has enough battery\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff(\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res])\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If a car is locked and not plugged to a power grid, its battery level is the same as it has been left after last ride\nfact batteryLevelConstraint{\n\tall res: Reservation | (\n\t\t(no res': Reservation | (res!=res' and res.car=res'.car and comesAfterOrEqual[res'.start_time, res.start_time]))\n\t\timplies (\n\t\t\t(res.ride.release_plugged=False and res.car.location=res.ride.release_area.location)\n\t\t\timplies\n\t\t\t\tres.ride.release_battery_level = res.car.battery_level\n\t\t)\n\t)\n}\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\t(some rid.release_time\n\t\tiff\n\t\tsome rid.release_battery_level) and \n\t\t(some rid.release_area \n\t\tiff\n\t\tsome rid.release_time) and \n\t\t(some rid.release_time\n\t\t iff\n\t\tsome rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservationConstraint {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\n\nfact finalDischargedCostCalculation {\n\tall res: Reservation | (\n\t\t(one res.ride.release_time and res.ride.passengers>2)         \n\t\timplies(\t\t\t \/\/Enabled to 10% discount\n\t\t\t(res.expired = False and res.ride.release_battery_level>=5)\n\t\t\timplies(\t\t \/\/Enabled to 10%+20% discount\n\t\t\t\t (res.ride.release_plugged = True)\n\t\t\t\timplies(  \/\/Enablet to 10%+20%+30% discount\n\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 2],5]\n\t\t\t\t)\n\t\t\t\telse(       \/\/Enabled to 10%+20% discount\n\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t\t\t)\n\t\t\t)\n\t\t\telse(\n\t\t\t\t(res.ride.release_plugged = True)\n\t\t\t\timplies(  \/\/Enablet to 10%+30% discount\n\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 3],5]\n\t\t\t\t)\n\t\t\t\telse(       \/\/Enabled to 10% discount, but 30% extra charging\n\t\t\t\t\t(isFarFromSpecialSafeArea[res.ride.release_area] and res.ride.release_battery_level<3)\n\t\t\t\t\timplies (\n\t\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 6],5]\n\t\t\t\t\t)\n\t\t\t\t\telse(\n\t\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 9],10]\n\t\t\t\t\t)\n\t\t\t\t)\n\t\t\t)\n\t\t)\n\t\telse(\n\t\t\t(res.expired = False and res.ride.release_battery_level>=5)\n\t\t\timplies(\t\t \/\/Enabled to 20% discount\n\t\t\t\t (res.ride.release_plugged = True)\n\t\t\t\timplies(  \/\/Enablet to 20%+30% discount\n\t\t\t\t\tres.final_discharged_cost=div[res.current_cost,2]\n\t\t\t\t)\n\t\t\t\telse(       \/\/Enabled to 20% discount\n\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 4],5]\n\t\t\t\t)\n\t\t\t)\n\t\t\telse(\n\t\t\t\t(res.ride.release_plugged = True)\n\t\t\t\timplies(  \/\/Enablet to 30% discount\n\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t\t\t)\n\t\t\t\telse(       \/\/There are no discounts\n\t\t\t\t\t(isFarFromSpecialSafeArea[res.ride.release_area] and res.ride.release_battery_level<3)\n\t\t\t\t\timplies ( \/\/Extra-charging of 30%\n\t\t\t\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 13],10]\n\t\t\t\t\t)\n\t\t\t\t\telse( \/\/ No discounts orr extra-charging\n\t\t\t\t\t\tres.final_discharged_cost=res.current_cost\n\t\t\t\t\t)\n\t\t\t\t)\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ ------------- Assertions ---------------\nassert availabilityAndLockingChecking {\n\tall c: Car | ((c.available = True implies c.unlocked = False)\t\t\t  \/\/ car available => car locked\n\t\t\t\t\t\tand (c.unlocked = True implies c.available = False))\t  \/\/ car unlocked => car not available\n}\n\n\/\/ reservation expired => no ride\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies (no r.ride and r.final_discharged_cost=10)\n}\n\n\/\/ reservation active => car not available and there aren't any other active reservations for that car\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies (r.car.available = False\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tand no r': Reservation | r'!=r and isActive[r'] and r.car=r'.car)\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n\tor\n\tall ride: Ride |  all ct: CurrentTime| ride.release_time=ct\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Reservation = 2\n\t#Ride=1\n\t#Car=1\t\n\tsome r: Reservation | (one r.ride.release_time) \n\/\/\tall rid: Ride | all ct: CurrentTime | rid.release_time!=ct\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\n\/\/run show for 8 Int\n\/\/check availabilityAndLockingChecking for 8 Int\n\/\/check activeEntailsNotAvailable for 8 Int\ncheck expiredEntailsNoRide for 8 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 8 Int\n","old_contents":"open util\/boolean\n\n\/\/ Car, User\n\nsig Car {\n\tid: Int,\n\tavailable: Bool,\n\tlocation: Location,\n\tunlocked: Bool,\n\tbattery_level: Int\n} {\n\tid>0\n\tbattery_level >= 0\n\tbattery_level <= 100\n}\n\nsig User {\n\tcredential: Credential,\n\tpayment_info: Payment_Info,\n\tlocation: Location\n}\nsig Credential {}\n\nsig Payment_Info {}\n\n\/\/ Reservation, Ride\n\nsig Reservation {\n\tuser: User,\n\tcar: Car,\n\tstart_area: Safe_Area,\n\tstart_time: Time,\n\tcurrent_cost: Int,\n\tfinal_discharged_cost: lone Int,\n\texpired: Bool,\n\tride: lone Ride\n} {\n\tcurrent_cost >= 0\n\tfinal_discharged_cost >= 0\n}\n\nsig Ride {\n\treservation: Reservation,\n\tpassengers: Int, \n\tpickup_time: Time,\n\trelease_time: lone Time,\n\trelease_battery_level: lone Int,\n\trelease_area: lone Safe_Area,\n\trelease_plugged: lone Bool\n} {\n\tpassengers >= 1\n\tpassengers <= 4\n\trelease_battery_level >= 0\n\trelease_battery_level <= 100\n\tnot areEqual[pickup_time, release_time]\n}\n\n\/\/ Time and CurrentTime\n\nsig Time {\n\thour: Int,\n\tminute: Int\n} {\n\thour >= 0\n\thour =< 23\n\tminute >= 0\n\tminute =< 59\n}\n\nsig CurrentTime extends Time {}\n\n\/\/ Location, Areas\n\nsig Location {\n\tlatitude: Int, \n\tlongitude: Int \n}\nsig Area {  \n\tcenter: Location,\n\/\/\tradius: Int\n} {\n\/\/\tradius > 0 \n}\nsig Safe_Area extends Area {}\nsig Special_Safe_Area extends Safe_Area {}\n\n\/* ----------- Functions ------------ *\/\nfun minutesDiff[t, t': Time]:Int {\n\tt.minute>t'.minute\n\timplies\n\t\tsub[t.minute, t'.minute]\n\telse\n\t\tsub[t'.minute, t.minute]\n}\n\nfun hoursDiff[t, t': Time]: Int {\n\tt.hour>=t'.hour\n\timplies(\n\t\tsub[t.hour, t'.hour]\n\t) else (\n\t\tsub[t'.hour, t.hour]\n\t)\n}\n\n\/\/Return the cost for a ride from time t to time t'\nfun cost[t, t': Time]: Int {\n\t\tt.hour = t'.hour\n\t\timplies (\n\t\t\tminutesDiff[t, t']\n\t\t)\n\t\telse (\n\t\t\tt.hour>t'.hour\n\t\t\timplies(\n\t\t\t\tadd[add[sub[60, t'.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t.minute]   \/\/(60-t'.minute) + (t'.hour-t.hour-1)*60 + t.minute\n\t\t\t)\n\t\t\telse(\n\t\t\t\tadd[add[sub[60, t.minute], mul[sub[hoursDiff[t,t'], 1], 60]], t'.minute]   \/\/(60-t.minute) + (t.hour-t'.hour-1)*60 + t'.minute\t\t\t\n\t\t\t)\n\t\t)\n}\n\/\/ ----------- Predicates -----------\n\n\/\/ Returns true if t == t'\npred areEqual[t, t': Time] {\n\tt.hour = t'.hour and t.minute = t'.minute\n}\n\n\/\/ Returns true if t - t' <= 1h\npred isLessThanOneHourAhead[t, t': Time] {\n\tareEqual[t, t']\n\tor\n\t\t(t.hour = t'.hour and t.minute > t'.minute)\n\tor\n\t\t(t.hour = add[t'.hour,1] and add[sub[60, t'.minute], t.minute] < 60)\n}\n\n\/\/ Returns true if t >= t'\npred comesAfterOrEqual[t, t': Time] {\n\t\tt.hour = t'.hour\n\t\timplies t.minute >= t'.minute\n\t\telse t.hour >= t'.hour\n}\n\n\/\/ Returns true if the max distance between latitudes and longitudes is 5\npred isNear[l, l': Location] {\n\t(l.latitude >= l'.latitude implies \n\t\tsub[l.latitude, l'.latitude] <= 4\n\telse\n\t\tsub[l'.latitude, l.latitude] <= 4)\n\tand\n\t(l.longitude >= l'.longitude implies \n\t\tsub[l.longitude, l'.longitude] <= 4\n\telse\n\t\tsub[l'.longitude, l.longitude] <= 4)\n}\n\npred isFarFromSpecialSafeArea[area: Safe_Area] {\n\t\t\tall ssa: Special_Safe_Area |(\n\t\t\t(int ssa.center.latitude >= int area.center.latitude\n\t\t\timplies \n\t\t\t\tsub[ssa.center.latitude, area.center.latitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.latitude, ssa.center.latitude] > 15\n\t\t\t)\n\t\t\tand\n\t\t\t(int ssa.center.longitude >= int area.center.longitude implies \n\t\t\t\tsub[ssa.center.longitude, area.center.longitude] > 15\n\t\t\telse\n\t\t\t\tsub[area.center.longitude, ssa.center.longitude] > 15)\n\t)\n}\n\/\/ Reservation r is open <=> r is not expired and \"it has not a ride yet or its ride has no release_time\"\npred isActive[r: Reservation] {\n\tr.expired = False and (\n\t\tno r.ride\n\t\tor\n\t\tno r.ride.release_time\n\t)\n}\n\n\/\/ ----------- Facts -------------\n\n\/\/ There's only a current time\nfact currentTimeForeverAlone {\n\t#CurrentTime = 1\n}\n\n\/\/There are no different Time with the same time\n\/*fact alwaysDifferent {\n\tall t, t': Time | t!=t' implies (not areEqual[t, t'])\n}*\/\n\n\/\/ CurrentTime is after all the times in the model\nfact currentTimeIsAlwaysAhead {\n\tall t: Time |\n\t\tall ct: CurrentTime |\n\t\t\tcomesAfterOrEqual[ct, t]\n}\n\n\/\/ Each credential\/password\/payment info is used for a user\nfact eachCredentialCorrespondToAUser {\n\tUser.credential=Credential\n}\n\nfact eachPaymentInfoCorrespondToAUser {\n\tUser.payment_info=Payment_Info\n}\n\n\/\/ Different users <=> different credentials\nfact noUsersWithSameCredentials {\n\tall u1, u2: User |\n\t\tu1 != u2\n\t\tiff\n\t\tu1.credential != u2.credential\n}\n\n\/\/ Different cars <=> different IDs\nfact noCarsWithSameIDs {\n\tall c1, c2: Car |\n\t\tc1 != c2\n\t\tiff\n\t\tc1.id != c2.id\n}\n\n\/\/ If a ride has a reservation, then that reservation has that ride.\nfact ridesAndReservationRelation {\n\tall rid: Ride | (\n\t\trid = rid.reservation.ride\n\t) and\n\tall res: Reservation | (\n\t\tone res.ride \n\t\timplies\n\t\t\tres=res.ride.reservation\n\t)\n}\n\n\/\/ There can't be two reservations made by the same user both open\n\/\/ COMMENT: Actually it's possible that a user makes a wrong reservation and he lets it expires, while he makes another one\n\/*\nfact noConsecutiveReservations {\n\tall r, r': Reservation | (\n\t\tr.user = r'.user\n\t\timplies not (\n\t\t\tisOpen[r] and isOpen[r']\n\t\t)\n\t)\n}*\/\n\n\/\/ There can't be two reservations r1 and r2 for the same car overlapping.\n\nfact carsCanBeReservedByOneUserAtOnce { \n\tall c: Car | (\n\t\tall r, r': Reservation | (\n\t\t\t(r.car = c and r'.car = c and r != r' and comesAfterOrEqual[r'.start_time, r.start_time])\n\t\t\timplies (\n\t\t\t\t\t(some r.ride and some r.ride.release_time and comesAfterOrEqual[r'.start_time, r.ride.release_time])\n\t\t\t\t\tor\n\t\t\t\t\t(r.expired = True and not isLessThanOneHourAhead[r'.start_time, r.start_time])\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/ A car is available if it has no reservations open and has enough battery\nfact carAvailableCondition {\n\tall c: Car |\n\t\tc.available = True\n\t\tiff(\n\t\t(no res: Reservation |\n\t\t\tres.car = c and isActive[res])\n\t\t and  c.battery_level>80\n\t\t)\n}\n\n\/\/ A reservation is expired if there's is not a ride whose pickup_time is less than one hour after the \n\/\/    reservation start_time.\nfact reservationExpiredCondition {\n\tall res: Reservation |\n\t\tres.expired = True\n\t\tiff\n\t\t(all currentTime: CurrentTime |\n\t\t\tnot isLessThanOneHourAhead[currentTime, res.start_time]\n\t\t)\n\t\tand\n\t\tno res.ride\n}\n\n\/\/ The pickup time of a ride should be in one hour from its reservation start_time\nfact pickupTimeConstraint {\n\tall rid: Ride | (\n\t\tisLessThanOneHourAhead[rid.pickup_time, rid.reservation.start_time]\n\t)\n}\n\n\/\/ release_time is always after pickup_time\nfact releaseTimeIsAfterPickupTime {\n\tall rid: Ride | (\n\t\tno rid.release_time\n\t\tor\n\t\tcomesAfterOrEqual[rid.release_time, rid.pickup_time]\n\t)\n}\n\n\/\/ A car is unlocked if there's a reservation not expired between a user and that car,\n\/\/    such user is near it and\n\/\/    he hasn't finished the ride (the ride associated with that reservation \n\/\/    doesn't have a release_time).\nfact carUnlockedConstraint {\n\tall c: Car | (\n\t\tc.unlocked = True\n\t\tiff\n\t\tsome r: Reservation | (\n\t\t\tr.car = c and isActive[r] and isNear[c.location, r.user.location]\n\t\t)\n\t)\n}\n\n\/\/If there is a release time, there are also a release release_battery and a release_area\nfact releaseInfoConstraint{\n\tall rid: Ride| (\n\t\t(some rid.release_time\n\t\tiff\n\t\tsome rid.release_battery_level) and \n\t\t(some rid.release_area \n\t\tiff\n\t\tsome rid.release_time) and \n\t\t(some rid.release_time\n\t\t iff\n\t\tsome rid.release_plugged)\n\t)\n}\n\nfact feeConstraint {\n\tall r: Reservation | (\n\t\tr.expired = True\n\t\timplies\n\t\tr.current_cost = 10 and r.final_discharged_cost = 10\n\t)\n}\n\n\/\/The actual cost of a reservation is proportional to minutes spent in the car\nfact costOfAReservationConstraint {\n\tall res: Reservation | (\n\t\tres.expired = False\n\t\timplies (\n\t\t\tno res.ride\n\t\t\timplies\n\t\t\t\tres.current_cost=0\n\t\t\telse(\n\t\t\t\tno res.ride.release_time\n\t\t\t\timplies(\n\t\t\t\t\tall ct : CurrentTime |\n\t\t\t\t\t\tres.current_cost=cost[ct, res.ride.pickup_time]\n\t\t\t\t)\n\t\t\t\telse\n\t\t\t\t\tres.current_cost=cost[res.ride.release_time, res.ride.pickup_time]\n\t\t\t)\n\t\t)\n\t)\n}\n\n\/\/Passengers discount of 10%\nfact passengersDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and one res.ride.release_time and res.ride.passengers>2\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 9],10]\n\t\t)\n\t)\n}\n\n\/\/Non-empty battery discount of 20%\nfact nonEmptyBatteryDiscount{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level>=50\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 4],5]\n\t\t)\n\t)\n}\n\n\/\/Car released charging discount of 30%\nfact chargingDiscount{\n\tall res: Reservation | (\n\tres.expired = False and (res.ride.release_area in Special_Safe_Area) and res.ride.release_plugged = True\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 7],10]\n\t\t)\n\t)\n}\n\n\/\/Car released far and with low battery extra-charging of 30%\nfact lowBatteryExtraFee{\n\tall res: Reservation | (\n\t\tres.expired = False and res.ride.release_battery_level<20 and isFarFromSpecialSafeArea[res.ride.release_area]\n\t\timplies(\n\t\t\tres.final_discharged_cost=div[mul[res.current_cost, 13],10]\n\t\t)\n\t)\n}\n\/\/ ------------- Assertions ---------------\n\n\/\/ car available => car locked\n\nassert availableEntailsLocked {\n\tall c: Car | c.available = True implies c.unlocked = False\n}\n\n\/\/ car unlocked => car not available\n\nassert unlockedEntailsNotAvailable {\n\tall c: Car | c.unlocked = True implies c.available = False\n}\n\n\/\/ reservation expired => no ride\n\nassert expiredEntailsNoRide {\n\tall r: Reservation | r.expired = True implies no r.ride\n}\n\n\/\/ reservation active => car not available\n\nassert activeEntailsNotAvailable {\n\tall r: Reservation | isActive[r] implies r.car.available = False\n}\n\n\/\/ FALSE\n\nassert falseByPurpose {\n\tall r: Reservation | r.start_time = r.ride.release_time\n\tor\n\tall ride: Ride |  all ct: CurrentTime| ride.release_time=ct\n}\n\n\/\/ ------------ Show world! --------------\n\npred show {\n\t#User = 1\n\t#Reservation = 1\n\tsome r: Reservation | (r.ride.release_battery_level>=50) \n\tsome c: Car | c.available = True\n\/\/\tsome c: Car | c.unlocked = False\n\n}\n\nrun show for 8 Int\n\/\/check availableEntailsLocked for 7 Int\n\/\/check unlockedEntailsNotAvailable for 7 Int\n\/\/check expiredEntailsNoRide for 7 Int\n\/\/check activeEntailsNotAvailable for 7 Int\n\/\/check falseByPurpose for 8 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"91a77000f6a7da8b9cce2f130af51c7318dee268","subject":"Clarify definition of ties between candidates","message":"Clarify definition of ties between candidates\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n    threshold = 1 + quota.div[4]\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t((#c.votes + #c.transfers) < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and (#w.votes + #w.transfers = #l.votes + #l.transfers)\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or b.outcome = TiedSoreLoser) implies\n\t\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Non-sore loser gets at least one vote\nassert zeroVote {\n  all c: Candidate | (#c.votes + #c.transfers = 0) implies (c.outcome = SoreLoser)\n}\ncheck zeroVote for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and Scenario.threshold <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Election.candidates = 2\n}\nrun LW for 5 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n    0 < #Ballot\n}\n\npred tenCandidates {\n  some disj c0,c1,c2,c3,c4,c5,c6,c7,c8,c9: Candidate | c0.outcome = SoreLoser and \n    c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n    c4.outcome = Loser and c5.outcome = Loser and c6.outcome = Loser and \n    c7.outcome = TiedLoser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n    Election.method = Plurality and 1 < #Ballot and #Election.candidates = 10\n}\nrun tenCandidates for 30 but 7 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 01\n  day = 25\n  -- Dermot Cochran 2011-01-25\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Early and Sore Losers under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or Early Loser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or Quota Winner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n    threshold = 1 + quota.div[4]\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes.\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t((#c.votes + #c.transfers) < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and (#w.votes + #w.transfers = #l.votes + #l.transfers)\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or b.outcome = TiedSoreLoser) implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner or (Election.method = Plurality and c.outcome = Winner))\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n\/\/ Non-sore loser gets at least one vote\nassert zeroVote {\n  all c: Candidate | (#c.votes + #c.transfers = 0) implies (c.outcome = SoreLoser)\n}\ncheck zeroVote for 10 but 6 int\n\n\/\/ Tied Winners have equality of votes and transfers\nassert tiedWinnerEquality {\n  all a,b: Candidate | (a.outcome = TiedWinner and b.outcome = TiedWinner) implies\n\t#a.votes + #a.transfers = #b.votes + #b.transfers\n}\ncheck tiedWinnerEquality for 10 but 6 int\n\n\/\/ Non-negative threshold and quota\nassert nonNegativeThresholdAndQuota {\n\t0 <= Scenario.threshold and Scenario.threshold <= Scenario.quota\n}\ncheck nonNegativeThresholdAndQuota for 6 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 10 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred SLW {\n  some disj c0,c1,d: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 3\n  Scenario.threshold = 1\n}\nrun SLW for 6 but 6 int\n\npred SSSLW {\n  some disj c0,c1,d,e,f: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 5\n}\nrun SSSLW for 6 but 6 int\n\npred SSSSLW {\n  some disj c0,c1,d,e,f,g: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  d.outcome = SoreLoser and\n  e.outcome = SoreLoser and\n  f.outcome = SoreLoser and\n  g.outcome = SoreLoser and\n  Election.method = Plurality and #Election.candidates = 6\n}\nrun SSSSLW for 6 but 6 int\n\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Loser and c1.outcome = Winner and \n  Election.method = Plurality and 0 < #Ballot and #Election.candidates = 2\n}\nrun LW for 5 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n    0 < #Ballot\n}\n\npred tenCandidates {\n  some disj c0,c1,c2,c3,c4,c5,c6,c7,c8,c9: Candidate | c0.outcome = SoreLoser and \n  c1.outcome = SoreLoser and c2.outcome = SoreLoser and c3.outcome = Loser and \n  c4.outcome = Loser and c5.outcome = Loser and c6.outcome = Loser and \n  c7.outcome = TiedLoser and c8.outcome = TiedLoser and c9.outcome = TiedWinner and \n  Election.method = Plurality and 1 < #Ballot and #Election.candidates = 10\n}\nrun tenCandidates for 13 but 7 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day: Int\n} {\n  year = 11\n  month = 01\n  day = 24\n  -- Dermot Cochran 2011-01-24\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"f7706a05d65f7e0cc29be8e52a64b097773fa860","subject":"adding hint","message":"adding hint\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/exec_ptx.als","new_file":"archs\/exec_ptx.als","new_contents":"module exec_ptx[E]\nopen exec_H[E]\n\nsig Exec_PTX extends Exec_H {\n  scta, sgl : E->E \/\/ same CTA, same global\n}{\n\n  \/\/ scta and sgl are equivalence relations among all events\n  is_equivalence[scta, ev]\n  is_equivalence[sgl, ev]\n\n  \/\/ Same thread implies same cta\n  sthd in scta\n\n  \/\/ Same CTA implies same global\n  scta in sgl\n\n  \/\/ There are no RMW events, instead we use the atom relation\n  \/\/ to link the R and the W events\n  no (R&W)\n\n  \/\/ Atom relation not done yet\n  no atom\n    \n}\n\npred wf_Exec_PTX[X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] {\n    \n  wf_Exec_H[X,ad,cd,dd]\n\n  is_fence_rel[membar_sys, X.sb]\n  is_fence_rel[membar_gl, X.sb]\n  is_fence_rel[membar_cta, X.sb]\n\n  \/\/ A membar.sys implies a membar.gl, which implies a membar.cta\n  membar_sys in membar_gl\n  membar_gl in membar_cta\n    \n}\n\nfun scta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { X.scta - (univ -> e) - (e -> univ) }\nfun sgl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { X.sgl - (univ -> e) - (e -> univ) }\nfun membar_sys[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_sys - (univ -> e) - (e -> univ) }\nfun membar_gl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_gl - (univ -> e) - (e -> univ) }\nfun membar_cta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_cta - (univ -> e) - (e -> univ) }\n\n\/\/ Synonyms\nfun membarsys[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_sys - (univ -> e) - (e -> univ) }\nfun membargl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_gl - (univ -> e) - (e -> univ) }\nfun membarcta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_cta - (univ -> e) - (e -> univ) }\n\n\n\/*\nW y 2   R y 2       R x 1\n        membar.gl   membar.cta\n        W x 1       W y 1\n*\/\n","old_contents":"module exec_ptx[E]\nopen exec_H[E]\n\nsig Exec_PTX extends Exec_H {\n  scta, sgl : E->E \/\/ same CTA, same global\n}{\n\n  \/\/ scta and sgl are equivalence relations among all events\n  is_equivalence[scta, ev]\n  is_equivalence[sgl, ev]\n\n  \/\/ Same thread implies same cta\n  sthd in scta\n\n  \/\/ Same CTA implies same global\n  scta in sgl\n\n  \/\/ There are no RMW events, instead we use the atom relation\n  \/\/ to link the R and the W events\n  no (R&W)\n\n  \/\/ Atom relation not done yet\n  no atom\n    \n}\n\npred wf_Exec_PTX[X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] {\n    \n  wf_Exec_H[X,ad,cd,dd]\n\n  is_fence_rel[membar_sys, X.sb]\n  is_fence_rel[membar_gl, X.sb]\n  is_fence_rel[membar_cta, X.sb]\n\n  \/\/ A membar.sys implies a membar.gl, which implies a membar.cta\n  membar_sys in membar_gl\n  membar_gl in membar_cta\n    \n}\n\nfun scta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { X.scta - (univ -> e) - (e -> univ) }\nfun sgl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { X.sgl - (univ -> e) - (e -> univ) }\nfun membar_sys[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_sys - (univ -> e) - (e -> univ) }\nfun membar_gl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_gl - (univ -> e) - (e -> univ) }\nfun membar_cta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_cta - (univ -> e) - (e -> univ) }\n\n\/\/ Synonyms\nfun membarsys[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_sys - (univ -> e) - (e -> univ) }\nfun membargl[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_gl - (univ -> e) - (e -> univ) }\nfun membarcta[e:E, X:Exec_PTX, ad,cd,dd,membar_cta,membar_gl,membar_sys:E->E] : E->E { membar_cta - (univ -> e) - (e -> univ) }\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d2341506f274c7cd62edb9bbff711940c0ee23a0","subject":"can marry with sister","message":"can marry with sister\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\npred can_marry_think (from, to: Person){\n\tto not in from.^parent_think\n\tfrom not in to.^parent_think\n\tto not in from.parent_think.~parent_think\n}\n\npred can_marry_bio (from, to: Person){\n\tto not in from.^parent_bio\n\tfrom not in to.^parent_bio\n\tto not in from.parent_bio.~parent_bio\n}\n\nrun {\n\tsome parent_bio\n\tsome p1: Man, p2: Woman {\n\t\tnot can_marry_think[p1, p2] and can_marry_bio[p1, p2]\n\t\tp2 in p1.parent_think.~parent_think\n\t}\n} for 6 Person, 8 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tlet father = p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tlet mother = p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\npred can_marry_think (from, to: Person){\n\tto not in from.^parent_think\n\tfrom not in to.^parent_think\n\tto not in from.parent_think.~parent_think\n}\n\npred can_marry_bio (from, to: Person){\n\tto not in from.^parent_bio\n\tfrom not in to.^parent_bio\n\tto not in from.parent_bio.~parent_bio\n}\n\nrun {\n\tsome parent_bio\n\tsome p1: Man, p2: Woman {\n\t\tnot can_marry_think[p1, p2] and can_marry_bio[p1, p2]\n\t}\n} for 6 Person, 8 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"735bd29287b8d3aa5fd2947237430538f05f0e0c","subject":"Adding the file ta-assignment.als deleted by kacper, it's not a generated als file, but an example provided by Derek.","message":"Adding the file ta-assignment.als deleted by kacper, it's not a generated als file, but an example provided by Derek.\n","repos":"juodaspaulius\/clafer,juodaspaulius\/clafer-old-customBNFC,juodaspaulius\/clafer,gsdlab\/clafer,gsdlab\/clafer,juodaspaulius\/bclafer_old","old_file":"test\/suite\/ta-assignment.als","new_file":"test\/suite\/ta-assignment.als","new_contents":"\/* Simplifications:\n    - for now we ignore lab instructors\n    - for now we assume that a prof teaches only one course\n    - profs only have three ranking levels in this model\n    - we say TA's are happy if they get their first choice\n    - no half TA positions\n*\/\n\n-- the structure of the model (write by hand)\nsig Course { \n    lecturer : one Prof,\n    assistants : set TA, -- this is what we are solving for\n    allocation : one Int,\n}{\n    -- cannot have more TAs assigned than spaces allocated\n    #assistants <= allocation\n}\nsig TA { first, second, third : lone Course }\nsig Prof { prefer, reject : set TA }\n\n-- constraints\n-- each TA can be assigned to at most one course\nfact SingleCoursePerTA { all ta : TA | lone assistants.ta }\n-- TA will only be assigned to a course that they named\nfact RespectTAWishes { ~assistants & (first+second+third) }\n-- all assigned TAs are preferred or accepted by the prof\nfact RespectProfWishes { no ~lecturer.assistants & reject }\n\n-- this is generated from the CSV input\ninst Winter2012 {\n    Prof = X + Y, \n    TA = A + B + C + D + E + F + G,\n    Course = ECE155 + ECE351,\n    lecturer = ECE155->X + ECE351->Y,\n    allocation = ECE155->3 + ECE351->2,\n    prefer = X->A + X->B + Y->A + Y->B + Y->C,\n    reject = X->F + X->G + Y->D + Y->G,\n    first = A->ECE155 + B->ECE351 + C->ECE155 + D->ECE351 + E->ECE155 \n            + F->ECE351 + G->ECE351\n    second = A->ECE351 + B->ECE155 + C->ECE351 + D->ECE155 + E->ECE351\n    no third\n}\n\n\n-- the various objectives to optimize\nmetrics m {\n    -- prof happiness: got preferred TAs\n    max[ #( ~lecturer.assistants & prefer ) ]\n    -- prof unhappiness: spaces that are allocated by not assigned (holes)\n    min[ (sum c : Course | c.allocation) - #assistants ]\n    -- TA happiness: got first choice\n    max[ #(assistants & ~first) ]\n    -- TA unhappiness: didn't get a job\n    min[ #(TA - Course.assistants) ]\n}\n\npred p[] {}\n\nrun p for Winter2012 optimize m\n\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'test\/suite\/ta-assignment.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"3165cb1e08ebc650a4700a3ea40a507662d1cabc","subject":"by id:bonotake http:\/\/d.hatena.ne.jp\/bonotake\/20120413\/1334300370","message":"by id:bonotake http:\/\/d.hatena.ne.jp\/bonotake\/20120413\/1334300370\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {}\nsig Col extends Region {\n  cell: Row -> Cell\n}\nsig Row extends Region {}\nenum Cell { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- about rows\npred blackHeadInRow (c: Col, r: Row) {\n  c in first or cell[c.prev, r] in White\n  cell[c, r] in Black\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n  {r: Row | #(r.prevs) = i}\n}\n\nfun Row2Int (r: Row): Int {\n  #(r.prevs)\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    headsSeqInRow [r, cs]\n    all i: sizes.inds | \n      let start = cs [i], end = Int2Col [plus [Col2Int [start], minus[sizes [i], 1] ]] {\n       some end\n       all c: start.*cols\/next - end.^cols\/next | cell [c, r] in Black\n       no end.next or cell [end.next, r] in White\n     }\n  }\n}\n\n-- about cols\npred blackHeadInCol (c: Col, r: Row) {\n  r in first or cell[c, r.prev] in White\n  cell[c, r] in Black\n}\n\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n  s.elems = headsInCol[c]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n  {c: Col | #(c.prevs) = i}\n}\n\nfun Col2Int (c: Col): Int {\n  #(c.prevs)\n}\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds | \n      let start = rs [i], end = Int2Row [plus [Row2Int [start], minus[sizes [i], 1] ]] {\n       some end\n       all r: start.*rows\/next - end.^rows\/next | cell [c, r] in Black\n       no end.next or cell [c, end.next] in White\n     }\n  }\n}\n\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'illust_logic\/illustLogic.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"002f1bde97d3c7f0c2101ad0d629a42bf06cf70d","subject":"minor changes","message":"minor changes","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/example_featuremodel.als","new_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/example_featuremodel.als","new_contents":"open module_featuremodel[Feature] as FeatureModel\n\n\nabstract sig Feature {}\n\none sig Chassis extends Feature {}\none sig Wiper extends Feature {}\none sig StaticWagon extends Feature {}\none sig Cabriolet extends Feature {}\none sig ManualControl extends Feature {}\none sig RearWiper extends Feature {}\none sig FrontWiper extends Feature {}\none sig RoofControl extends Feature {}\none sig RainSensorWiper extends Feature {}\none sig IntervalWiper extends Feature {}\none sig AutoRoofControl extends Feature {}\none sig RainSensor extends Feature {}\n\npred init_feature_model {\n\tFeatureModel\/Root[Chassis]\n\n\tFeatureModel\/Mandatory[Chassis -> Wiper + Cabriolet -> RoofControl + RainSensorWiper -> RainSensor]\n\tFeatureModel\/NoOptional\n\tFeatureModel\/Alternative[Chassis -> (StaticWagon + Cabriolet) + FrontWiper -> (RainSensorWiper + IntervalWiper) + RoofControl -> (ManualControl + AutoRoofControl)]\n\tFeatureModel\/OptionalOr[Wiper -> RearWiper]\n\tFeatureModel\/MandatoryOr[Wiper -> FrontWiper]\n\tFeatureModel\/Requires[StaticWagon -> RearWiper + AutoRoofControl -> RainSensor]\n\tFeatureModel\/NoExcludes\n}\n\nrun init_feature_model\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.demonstration.alloyinecore\/harun\/example_featuremodel.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"e7c9690557d60598811863f765f729203dfa9c75","subject":"Incomplete - task : Extend unit tests for complete coverage - updated model to clarify that non-sore losers are above the threshold","message":"Incomplete - task : Extend unit tests for complete coverage - updated model to clarify that non-sore losers are above the threshold\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser) \n        implies (c in Scenario.losers and c not in Scenario.eliminated)\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.eliminated and not (#c.votes + #c.transfers < Scenario.threshold))\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner)\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t(#c.surplus = #c.votes + #c.transfers - Scenario.quota)\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus) implies \n\t\t(b.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1 and\n\t\ta.outcome = Winner) implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballot transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ All non-sore losers are above the threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact earlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = EarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\nfact tiedEarlyLosersAboveThreshold {\n  all c: Candidate | c.outcome = TiedEarlyLoser implies (Scenario.threshold < #c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\/\/ Sore losers below threshold\nassert soreLoserBelowThreshold {\n  all c: Candidate | c.outcome = SoreLoser implies not (Scenario.threshold <= #c.votes + #c.transfers)\n}\ncheck soreLoserBelowThreshold for 10 but 6 int\n\n\/\/ Possible outcomes when under the threshold\nassert underThresholdOutcomes {\n  all c: Candidate | (#c.votes + #c.transfers < Scenario.threshold) implies\n     (c.outcome = SoreLoser or c.outcome = TiedSoreLoser or c.outcome = TiedWinner or\n     c.outcome = CompromiseWinner)\n}\ncheck underThresholdOutcomes for 10 but 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1 and\n    (Scenario.threshold < #c1.votes + #c1.transfers)\n}\nrun LW for 10 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\npred SLQQW {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner and e.outcome = SoreLoser\n    #Election.candidates = 5\n\tElection.method = STV\n    0 < #Ballot\n}\nrun SLQQW for 10 but 6 int\n\n-- Version Control for changes to model\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 18\n  -- Dermot Cochran 2011-01-18\n}\n","old_contents":"-- (c) 2010-2011, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- An individual person standing for election\nsig Candidate {\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers implies this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate  -- Ranking of candidates\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t((#l.votes + #l.transfers <= #w.votes + #w.transfers) and (#l.votes <= #w.votes))\n\t0 <= threshold\n\tthreshold <= quota\n    Election.method = STV implies (threshold = 1 + quota.div[4])\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality \n       or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod,\n  ballots:\t\t\tInt -- number of ballots cast\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n    ballots = #Ballot\n    Scenario.quota = 1 + ballots.div[seats+1]\n}\n\n-- Independent (or Fundamental) Axioms\nfact threshold {\n   Election.method = Plurality implies Scenario.threshold = Election.ballots.div[20]\n}\n\nfact surplus {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies\n     Scenario.quota + #c.surplus = #c.votes \n}\n\nfact winnersWithoutTransfers {\n  all c: Candidate | (c.outcome = Winner and Election.method = STV) implies #c.transfers = 0 \n}\n\nfact surplusFromTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies ((surplus in transfers) and \n     ((Scenario.quota + #c.surplus) = (#c.votes + #c.transfers)))\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | (Election.method = STV and c.outcome = Winner) implies \n       Scenario.quota <= #c.votes\n}\n\nfact transferWinnerWithQuota {\n\tall c: Candidate | (Election.method = STV and c.outcome = QuotaWinner) implies\n\t   Scenario.quota <= #c.votes + #c.transfers\n}\n\nfact transferWinnerNotFirst {\n\tall c: Candidate |  (Election.method = STV and c.outcome = QuotaWinner) implies\n\t\tnot Scenario.quota <= #c.votes\n}\n\nfact closeWinner {\n\tall c: Candidate | (c.outcome = CompromiseWinner or c.outcome = TiedWinner) implies\n\t\tnot (Scenario.quota <= #c.votes + #c.transfers) or Election.method = Plurality\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) implies \n\t\t(#c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) \n        implies c in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | (c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser) iff \n\t\t(c in Scenario.losers & Scenario.eliminated and not #c.votes + #c.transfers < Scenario.threshold)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\t(c.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner)\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner and 0 < #w.votes + #w.transfers\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #c.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and 0 < #w.votes + #w.transfers and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinners {\n   all c: Candidate | Election.method = STV and c.outcome = Winner implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n\/\/ Tied Winners and Tied Losers have an equal number of votes\nfact equalTies {\n\tall disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser implies\n\t\t#a.votes = #b.votes and #a.transfers = #b.transfers\n}\n\n\/\/ Winners have more votes than non-tied losers\nfact winnersHaveVotes {\n\tall w,l: Candidate | w.outcome = Winner and \n      (l.outcome = Loser or l.outcome = EarlyLoser or l.outcome = SoreLoser) implies \n     ((#l.votes < #w.votes) or (#l.votes + #l.transfers < #w.votes + #w.transfers))\n}\n\n\/\/ Losers above threshold\nfact losersAboveThreshold {\n  all c: Candidate | c.outcome = Loser implies Scenario.threshold < (#c.votes + #c.transfers)\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | some c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n\/\/ Quota not more than the number of ballots cast\nassert maxQuota {\n  Scenario.quota <= #Ballot\n}\ncheck maxQuota for 7 int\n\n\/\/ Quota winner needs transfers\nassert quotaWinnerNeedsTransfers {\n  all c: Candidate | c.outcome = QuotaWinner implies 0 < #c.transfers\n}\ncheck quotaWinnerNeedsTransfers for 7 int\n\n\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 2 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = Winner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun ScenarioLWW for 7 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 1 < #a.preferences and 1 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences and \n        a.preferences.first = b.preferences.last\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n\npred WinnerLoserEarlyLoser {\n\tsome a,b,c,d : Candidate | a.outcome = Winner and b.outcome = Loser and \n\t\tc.outcome = EarlyLoser and d.outcome = SoreLoser\n\tElection.method = STV\n}\nrun WinnerLoserEarlyLoser for 7 but 6 int\n\npred TiedScenario { \n  some disj a,b: Candidate | a.outcome = TiedLoser and b.outcome = TiedWinner\n     Election.method = STV\n     #Election.candidates = 2\n     #Election.seats = 1\n}\nrun TiedScenario for 7 but 6 int\n\npred NoTiesAndNoSoresScenarios {\n  Election.method = STV\n  #Election.candidates > 3\n  #Ballot > 6\n  no c: Candidate | c.outcome = TiedLoser or c.outcome = TiedWinner or\n    c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser or c.outcome = SoreLoser\n}\nrun NoTiesAndNoSoresScenarios for 10 but 6 int\n\n-- Scenario tests\npred LW {\n  some disj c0,c1: Candidate | c0.outcome = Winner and c1.outcome = Loser and \n\tElection.method = STV and #Election.candidates = 2 and #Election.seats = 1\n}\nrun LW for 10 but 6 int\n\npred LQ {\n\tsome disj a,b: Candidate | a.outcome = Loser and b.outcome = QuotaWinner\n    #Election.candidates = 2\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQ for 10 but 6 int\n\npred LQQ {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and\n       c.outcome = QuotaWinner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQ for 10 but 6 int\n\npred LQW {\n\tsome disj a,b,c: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner\n    #Election.candidates = 3\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQW for 10 but 6 int\n\npred LQQW {\n\tsome disj a,b,c,d: Candidate | a.outcome = Loser and b.outcome = QuotaWinner and \n\t\tc.outcome = Winner and d.outcome = QuotaWinner\n    #Election.candidates = 4\n\tElection.method = STV\n    0 < #Ballot\n}\nrun LQQW for 10 but 6 int\n\n-- Version Control for changes to signatures and axioms, excluding lemmas and predicates\none sig Version {\n   year, month, day : Int\n} {\n  year = 11\n  month = 01\n  day = 17\n  -- Dermot Cochran 2011-01-17\n}\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"01ca4434e4fa32fd2007e328ecdc91cff5fb7a73","subject":"Removed old code","message":"Removed old code\n","repos":"septract\/stellite-tool","old_file":"alloy\/histRelat.als","new_file":"alloy\/histRelat.als","new_contents":"\/\/ Relational version of history\n\nmodule histRelat\nopen c11Relat \n\npred preexecWF [ dom : set Action, kind : Action -> Kind,\n                 gloc, lloc : Action -> Loc, sb : Action -> Action ] { \n  \/\/ no kind.RMW\n\n  SBwf[dom, kind, sb] \n  locWF[dom, kind, gloc, lloc] \n\n  \/\/ External actions are unordered in sb  \n  no sb & ((Extern -> Action) + (Action -> Extern)) \n\n  \/\/ Internal actions are totally ordered in sb \n  all disj a1, a2 : (dom & Intern) | \n    a1 -> a2 in (^sb + ^(~sb))\n\n  \/\/ Call \/ Return bracket internal actions\n  all c : dom & Call, r : dom & Ret | { \n    (c -> r) in ^sb \n    all i : dom | \n      i in Intern iff (c -> i) + (i -> r) in ^sb\n  } \n}\n\nfun HBvsMO_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                  : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    some disj w1, w2 : (dom <: loc.Atomic) | \n    { \n      (w2 -> w1) in mo\n      (w1 -> u) + (v -> w2) in (iden + hb) \n    } \n  } \n} \n\nfun CoWR_d [ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) |\n    disj [u,v] and \n    some w1, w2 : kind.Write & (dom <: loc.Atomic), \n               r : kind.Read & (dom <: loc.Atomic)   | \n    { \n      disj [w1, w2, r] \n      (w1 -> r) in rf \n      (w1 -> w2) in mo\n      (w2 -> u) in iden + hb \n      (v -> r) in iden + hb \n    } \n  } \n} \n\nfun HBacyc_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                 : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    disj [u,v] \n   and \n    (v -> u) in hb \n  } \n} \n\nfun getguar[ dom : Action, hb : Action -> Action ] : Action -> Action { \n  hb & ((Extern -> Extern) + (Call -> Extern) +  (Extern -> Ret)) \n} \n\nfun getdeny[ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                 : Action -> Action { \n   \/\/ Note: removed Ret -> Call deny because it's already enforced by sb \n   (CoWR_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBvsMO_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBacyc_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf])\n        - (Ret -> Call) \n} \n\n\/*************************************************\/ \n\/* Cutting Predicates                            *\/ \n\/*************************************************\/\n\npred cutR[ dom : set Action, kind : Action -> Kind,\n           loc : Action -> Loc, wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all r : Extern & kind.Read & loc.Atomic & dom | \n  some w : Intern & dom | { \n    (w -> r) in rf\n    no (w.rf & Extern) - r\n  } \n} \n\nfun vizAct[ dom : set Action, rf : Action -> Action ] : Action  { \n  \/\/ Internal actions \n  (dom & Intern) + \n  \/\/ External actions that are read or read from internal actions\n  { a : dom & Extern | \n    some a' : dom & Intern | some ((a -> a') + (a' -> a)) & rf }\n} \n\npred cutW[ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  all disj w, w' : Extern & dom | { \n    {(w.loc = w'.loc) and (no (w + w') & vizAct[dom, rf])} \n       implies \n    some w'' : vizAct[dom, rf] | \n       (w -> w'') + (w'' -> w') in mo\n  } \n} \n\n\n","old_contents":"\/\/ Relational version of history\n\nmodule histRelat\nopen c11Relat \n\npred preexecWF [ dom : set Action, kind : Action -> Kind,\n                 gloc, lloc : Action -> Loc, sb : Action -> Action ] { \n  \/\/ no kind.RMW\n\n  SBwf[dom, kind, sb] \n  locWF[dom, kind, gloc, lloc] \n\n  \/\/ External actions are unordered in sb  \n  no sb & ((Extern -> Action) + (Action -> Extern)) \n\n  \/\/ Internal actions are totally ordered in sb \n  all disj a1, a2 : (dom & Intern) | \n    a1 -> a2 in (^sb + ^(~sb))\n\n  \/\/ Call \/ Return bracket internal actions\n  all c : dom & Call, r : dom & Ret | { \n    (c -> r) in ^sb \n    all i : dom | \n      i in Intern iff (c -> i) + (i -> r) in ^sb\n  } \n}\n\nfun HBvsMO_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                  : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    some disj w1, w2 : (dom <: loc.Atomic) | \n    { \n      (w2 -> w1) in mo\n      (w1 -> u) + (v -> w2) in (iden + hb) \n    } \n  } \n} \n\nfun CoWR_d [ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) |\n    disj [u,v] and \n    some w1, w2 : kind.Write & (dom <: loc.Atomic), \n               r : kind.Read & (dom <: loc.Atomic)   | \n    { \n      disj [w1, w2, r] \n      (w1 -> r) in rf \n      (w1 -> w2) in mo\n      (w2 -> u) in iden + hb \n      (v -> r) in iden + hb \n    } \n  } \n} \n\nfun HBacyc_d [ dom : set Action, kind : Action -> Kind,\n               loc : Action -> Loc, wv, rv : Action -> Val, \n               hb, sb, mo, rf : Action -> Action ] \n                 : (Action -> Action) { \n  { u : (Extern + Ret), v : (Extern + Call) | \n    disj [u,v] \n   and \n    (v -> u) in hb \n  } \n} \n\nfun getguar[ dom : Action, hb : Action -> Action ] : Action -> Action { \n  hb & ((Extern -> Extern) + (Call -> Extern) +  (Extern -> Ret)) \n} \n\nfun getdeny[ dom : set Action, kind : Action -> Kind,\n             loc : Action -> Loc, wv, rv : Action -> Val, \n             hb, sb, mo, rf : Action -> Action ] \n                 : Action -> Action { \n   \/\/ Note: removed Ret -> Call deny because it's already enforced by sb \n   (CoWR_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBvsMO_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]\n     + \n    HBacyc_d[dom, kind, loc, wv, rv, ^hb, sb, mo, rf])\n        - (Ret -> Call) \n} \n\n\/*************************************************\/ \n\/* Cutting Predicates                            *\/ \n\/*************************************************\/\n\npred cutR[ dom : set Action, kind : Action -> Kind,\n           loc : Action -> Loc, wv, rv : Action -> Val, \n           hb, sb, mo, rf : Action -> Action ] { \n  all r : Extern & kind.Read & loc.Atomic & dom | \n  some w : Intern & dom | { \n    (w -> r) in rf\n    no (w.rf & Extern) - r\n  } \n} \n\nfun vizAct[ dom : set Action, rf : Action -> Action ] : Action  { \n  \/\/ Internal actions \n  (dom & Intern) + \n  \/\/ External actions that are read or read from internal actions\n  { a : dom & Extern | \n    some a' : dom & Intern | some ((a -> a') + (a' -> a)) & rf }\n} \n\npred cutW[ dom : set Action, kind : Action -> Kind,\n            loc : Action -> Loc, wv, rv : Action -> Val, \n            hb, sb, mo, rf : Action -> Action ] { \n  all disj w, w' : Extern & dom | { \n    {(w.loc = w'.loc) and (no (w + w') & vizAct[dom, rf])} \n       implies \n    some w'' : vizAct[dom, rf] | \n       (w -> w'') + (w'' -> w') in mo\n  } \n} \n\n\n\/\/fun getinterf[ dom : set Action ] : set Action { \n\/\/  dom & (Extern + Call + Ret) \n\/\/} \n\n\/\/ \/\/ run hist_run_simp\n\/\/ \/\/   { some dom : set Action, hb, sb, mo, rf : Action -> Action | {\n\/\/ \/\/      valid[dom, ^hb, sb, mo, rf]\n\/\/ \/\/      \/\/ DRF[dom, ^hb, sb, mo, rf]  \n\/\/ \/\/  \n\/\/ \/\/      \/\/ Sanity conditions \n\/\/ \/\/      dom = Action \n\/\/ \/\/      Loc = dom.loc \n\/\/ \/\/      is_core[hb] \n\/\/ \/\/      is_core[sb] \n\/\/ \/\/      \/\/some Extern & Write\n\/\/ \/\/      \/\/some Intern.loc & (Extern & Write).loc \n\/\/ \/\/ \n\/\/ \/\/      some disj w0, w1, w2 : Write | { \n\/\/ \/\/        w0 + w1 in Intern \n\/\/ \/\/        w2 in Extern \n\/\/ \/\/        one w0.loc + w1.loc + w2.loc \n\/\/ \/\/        w0.loc in Atomic \n\/\/ \/\/      } \n\/\/ \/\/ \n\/\/ \/\/      one Call \n\/\/ \/\/      one Ret\n\/\/ \/\/      preexecWF[ dom, sb ] \n\/\/ \/\/ \n\/\/ \/\/      interesting_exec[dom, ^hb, sb, mo, rf] \n\/\/ \/\/ \n\/\/ \/\/      some l : Glob & Atomic, v : Val | write2[ dom - Extern, sb, l, v] \n\/\/ \/\/   } \n\/\/ \/\/ } for 5 \n\n\n\n\/*************************************************\/ \n\/* Tests                                         *\/ \n\/*************************************************\/\n\n\n\/\/ run hist_run\n\/\/   { some dom : set Action, kind : Action -> Kind,\n\/\/              gloc, lloc : Action -> Loc, \n\/\/              callmap, retmap : Thr -> Val, \n\/\/              wv, rv : Action -> Val, \n\/\/              hb, sb, mo, rf : Action -> Action,\n\/\/              guar, deny : Action -> Action | {\n\/\/      valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, sb, mo, rf]\n\/\/ \n\/\/      \/\/ Non-atomics turned off. \n\/\/      \/\/ DRF[dom, kind, loc, wv, rv, ^hb, sb, mo, rf]  \n\/\/ \n\/\/      \/\/ prune boring contexts\n\/\/      cutR[dom, kind, gloc, wv, rv, ^hb, sb, mo, rf] \n\/\/      cutW[dom, kind, gloc, wv, rv, ^hb, sb, mo, rf] \n\/\/      \/\/some Extern & Read\n\/\/      \/\/some Intern.loc & (Extern & Read).loc \n\/\/  \n\/\/      \/\/ Sanity conditions \n\/\/      dom = Action \n\/\/      Loc = dom.(lloc + gloc) \n\/\/      is_core[hb] \n\/\/      is_core[sb] \n\/\/ \n\/\/      \/\/ History stuff\n\/\/      preexecWF[dom, kind, gloc, lloc, sb] \n\/\/      one Call & dom \n\/\/      one Ret & dom \n\/\/      \/\/some Extern & kind.Read\n\/\/ \n\/\/      some g : Glob & Atomic, t : Thr | \n\/\/        read2[dom - Extern, kind, gloc, lloc, sb, g, t] \n\/\/ \n\/\/      guar = getguar[dom, hb]\n\/\/      deny = getdeny[dom, kind, gloc, wv, rv, ^hb, sb, mo, rf] \n\/\/   } \n\/\/ } for 8 but exactly 2 Extern \n\/\/\n\/\/ run hist_incl_run { \n\/\/   some dom : set Action, hb, sb, mo, rf : Action -> Action, \n\/\/       \/\/ guar, deny : Action -> Action, \n\/\/       dom' : set Action, hb', sb', mo', rf' : Action -> Action, \n\/\/       guar, guar', deny, deny' : Action -> Action \n\/\/     when { \n\/\/       interesting_exec[dom,^hb, sb, mo, rf] \n\/\/       \/\/ some Extern & Write\n\/\/ \n\/\/       valid[dom, ^hb, sb, mo, rf] \n\/\/       DRF[dom, ^hb, sb, mo, rf] \n\/\/       is_core[hb] \n\/\/       is_core[hb']\n\/\/       is_core[sb]\n\/\/       is_core[sb']\n\/\/        \n\/\/       preexecWF[dom, sb] \n\/\/       preexecWF[dom', sb'] \n\/\/  \n\/\/       \/\/ identical interfaces \n\/\/       getinterf[dom] = getinterf[dom'] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom + dom' \n\/\/       Loc = dom.loc + dom'.loc \n\/\/       \n\/\/       \/\/ Shared call \/ return \n\/\/       one Call & (dom + dom') \n\/\/       one Ret & (dom + dom') \n\/\/       \n\/\/       \/\/ Code definition \n\/\/       some l : Loc, v : Val | { \n\/\/         write2[ dom - Extern, sb, l, v] \n\/\/         write1[ dom' - Extern, sb', l, v] \n\/\/       } \n\/\/     } | { \n\/\/       valid[dom', ^hb', sb', mo', rf'] \n\/\/       DRF[dom', ^hb', sb', mo', rf'] \n\/\/ \n\/\/       guar = getguar[dom, hb]\n\/\/       guar' = getguar[dom', hb']\n\/\/       guar' in guar\n\/\/ \n\/\/       deny = getdeny[dom, hb, sb, mo, rf] \n\/\/       deny' = getdeny[dom', hb', sb', mo', rf'] \n\/\/       deny' in deny \n\/\/ \n\/\/       some r1, r2 : Extern & Read, w : Extern & Write | \n\/\/          disj[r1, r2, w]\n\/\/     } \n\/\/   } for 7 but 1 Call, 1 Ret, 0 RMW\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"8dedca93d5989ff5092d8b9cf1d3d083273814ee","subject":"add sample to use named_* module","message":"add sample to use named_* module\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"demo_of_named_man.als","new_file":"demo_of_named_man.als","new_contents":"open named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nabstract sig Person {\n  love: Person\n}\n\nabstract sig Man extends Person {\n}\n\nabstract sig Woman extends Person {\n}\n\n\nrun {\n  #Man = 3\n  #Woman = 5\n} for 10\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'demo_of_named_man.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"67520ccd0a1f7aeb600e7df310d070d6b57a15f6","subject":"unmarried mother","message":"unmarried mother\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person,\n  parent_think: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or born_in_scope\n  }\n\tlet p = parent_think {\n\t\tno p or born_in_scope\n  }\n}\n\npred born_in_scope(p: Person){\n\tp.state.first = NotExist\n\tp.state.last != NotExist\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n\tall p: Person | p.partner.t = none\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred keep_partner(others: Person, t, t': Time){\n\tall other: others {\n\t\tother.partner.t = other.partner.t'\n\t}\t\n}\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t\tp1.partner.t' = p2\n\t\t\tp2.partner.t' = p1\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t\tp1.partner.t' = none\n\t\t\tp2.partner.t' = none\n\t\t\tkeep_partner[Person - p1 - p2, t, t']\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tt'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {\n\t\t\tone father\n\t\t\tfather.state.t != NotExist\n\t\t}\n\t\tsome mother: p.parent_bio & Woman {\n\t\t\tone mother\n\t\t\tmother.state.t != NotExist\n\t\t\tlet hasband = mother.partner.t {\n\t\t\t\t\/\/ p always think his biological mother is his mother\n\t\t\t\t\/\/ if mother married, p think mother's hasband is his father\n\t\t\t\t\/\/ no other person is tought as parent\n\t\t\t\tp.parent_think = mother + hasband\n\t\t\t}\n\t\t}\n\t\tkeep_partner[Person, t, t']\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n\tsome p: Person {p.parent_bio & Man != p.parent_think & Man}\n} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or \n\t\t{state.first = NotExist and state.last != NotExist}\n\t}\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\t\/\/t'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {father.state.t != NotExist}\n\t\tsome mother: p.parent_bio & Woman {mother.state.t != NotExist}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"211ecc55250422ad24b208a986ac841d33641fc8","subject":"add parent","message":"add parent\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {no p or {one p & Man and one p & Woman}}\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t\/\/ marriage\n\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\tor\n\t\t\/\/ divorce\n\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {father.state.t != NotExist}\n\t\tsome mother: p.parent_bio & Woman {mother.state.t != NotExist}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n}{\n\tall t: Time | one state.t\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t\/\/ marriage\n\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\tor\n\t\t\/\/ divorce\n\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"b39ab89eeeae8be460ac223f634fc8a71da6cd15","subject":"fix bug: parent works now","message":"fix bug: parent works now\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"etude17.als","new_file":"etude17.als","new_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {\n\tevent: lone Event\n}\n\nfact {\n\tno first.event\n\tall t: Time - first {one t.event}\n}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {\n\t\tno p or \n\t\t{state.first = NotExist and state.last != NotExist}\n\t}\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\nenum Event {Marriage, Divorce, Birth}\n\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t{\n\t\t\tt'.event = Marriage\n\t\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\t} or {\n\t\t\tt'.event = Divorce\n\t\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t\t}\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\t\/\/t'.event = Birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {father.state.t != NotExist}\n\t\tsome mother: p.parent_bio & Woman {mother.state.t != NotExist}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n} for exactly 4 Person, 4 Time\n","old_contents":"open util\/ordering[Time]\nopen named_man_ja [Man]\nopen named_woman_ja [Woman]\n\nsig Time {}\n\nabstract sig Person {\n\tstate: State -> Time,\n\tpartner: Person -> Time,\n\tparent_bio: set Person\n}{\n\tall t: Time | one state.t\n\tall t: Time | lone partner.t\n\tlet p = parent_bio {no p or {one p & Man and one p & Woman}}\n}\n\nabstract sig Man, Woman extends Person {}\n\nenum State {NotExist, Married, NotMarried}\n\npred init (t: Time) {\n\tall p: Person | p.state.t in NotMarried + NotExist\n}\n\npred change_state (\n\ttarget : Person,\n\tt, t': Time,\n\tbefore, after : State){\n\t\tsome target\n\t\tall p: target {\n\t\t\tp.state.t = before\n\t\t\tp.state.t' = after\n\t\t}\n\t\t\/\/ others don't change their state\n\t\tall other: (Person - target) {\n\t\t\tother.state.t = other.state.t'\n\t\t}\t\n}\n\npred step (t, t': Time) {\n\t{some disj p1 : Man, p2 : Woman {\n\t\t\/\/ marriage\n\t\tchange_state[p1 + p2, t, t', NotMarried, Married]\n\t\tor\n\t\t\/\/ divorce\n\t\tchange_state[p1 + p2, t, t', Married, NotMarried]\n\t}} \n\tor\n\tsome p: Person {\n\t\t\/\/ birth\n\t\tchange_state[p, t, t', NotExist, NotMarried]\n\t\tsome father: p.parent_bio & Man {father.state.t != NotExist}\n\t\tsome mother: p.parent_bio & Woman {mother.state.t != NotExist}\n\t}\n}\n\nfact Traces {\n\tinit[first]\n\tall t: Time - last {\n\t\tstep[t, t.next]\n\t}\n}\n\nrun {\n\tsome parent_bio\n} for exactly 4 Person, 4 Time\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"f4c2dc708698148c2598664e43b275c8ef0b624b","subject":"Making lock-elision bug search more general (the transaction need not see the initial value of lock -- it may now see any value of the lock variable except one set by a lock() method).","message":"Making lock-elision bug search more general (the transaction need\nnot see the initial value of lock -- it may now see any value of\nthe lock variable except one set by a lock() method).\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/arm8_lock_elision.als","new_file":"mappings\/arm8_lock_elision.als","new_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n  map in (X.EV one-> X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(LkT + UkT + LkN + UkN)\n\n  \/\/ suppose we don't have transactions in the source program\n  no X.stxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  (X.EV - X.UkT) <: scst[X] :> (X.EV - X.UkT) = map.(X'.stxn).~map\n\n  \/\/ the set of lock-related events introduced by the mapping\n  let L = map[X.(LkT + UkT + LkN + UkN)] {\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X'.sthd = ~map.(X.sthd).map\n\n    all e1, e2 : X.EV |\n      (some e1.map and some e2.map) implies\n      ((e1 -> e2 in X.sb) iff (map[e1] -> map[e2] in X'.sb))\n\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    \/\/ non-call events map to non-library events\n    all e : X.EV - X.LkT - X.LkN - X.UkT - X.UkN {\n\t  one e.map\n    }\n\n    \/\/ lock() to be transactionalised\n\tall e : X.LkT | some e1 : X'.EV {\n      e.map = e1\n      e1 in X'.R - X'.SCACQ \/\/ e1 is a lock-related read event\n\t  \/\/e1 not in ran[X'.rf] \/\/ e1 sees the lock is not taken\n    }\n\n    \/\/ the transaction must not read a write that acquires the lock\n    no X.LkN <: map.(X'.rf).~map :> X.LkT\n\n\t\/\/ unlock() to be transactionalised\n    all e : X.UkT | no e.map\n\n    \/\/ lock() to be kept as a normal lock\n    all e : X.LkN | some disj e1, e2 : X'.EV {\n      e.map = e1 + e2\n      (e1 -> e2) in imm[X'.sb] & X'.atom \/\/ e1 and e2 form an RMW pair \n      e1 in X'.SCACQ & X'.R \/\/ e1 is a lock-related acquire read\n      e2 in X'.W \/\/ e2 is a lock-related write\n    }\n\n    \/\/ unlock() to be kept as a normal unlock\n    all e : X.UkN | some e1 : X'.EV {\n \t  e.map = e1\n      e1 in X'.SCREL & X'.W \/\/ eL is a lock-related release write\n    }\n\n  }   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = scst[X] + scsl[X] |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\/*\n  some disj E0, E1, E2, E3, E4, E5, E6: E {\n    hint_src[X,E0,E1,E2,E3,E4,E5,E6]\n    hint_tgt[X',E0,E1,E2,E3,E4,E5,E6]\n    map = (E0->E0) + (E1->E1) + (E3->E2) + (E3->E3) + (E4->E4) + (E5->E5) + (E6->E6)\n  }*\/\n}\n\npred hint_src[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/ E0:  LkT     || E3: LkN\n\/\/ E1:  W x 1   || E4: R x 0\n\/\/ E2:  UkT     ||     [data]\n\/\/              || E5: W x 2\n\/\/              || E6: UkN\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E4\n    X.W = E1+E5\n    X.F = none\n    X.LkT = E0\n    X.UkT = E2\n    X.LkN = E3\n    X.UkN = E6\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5]\n    X.sthd = sq[E0+E1+E2] + sq[E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = ^((E0->E1)+(E1->E2)) + ^((E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = none->none\n    X.stxn = none->none\n}\n\npred hint_tgt[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/     txn {      || E2: R*[ACQ] lock 0   \n\/\/ E0:   R lock 0 || E3: W* lock 1 \n\/\/ E1:   W x 1    || E4: R x 0\n\/\/     }          ||     [data]\n\/\/                || E5: W x 2\n\/\/                || E6: W[REL] lock 2\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E0+E2+E4\n    X.W = E1+E3+E5+E6\n    X.F = none\n    X.LkT = none\n    X.UkT = none\n    X.LkN = none\n    X.UkN = none\n    X.SCACQ = E2\n    X.SCREL = E6\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)+(E3->E6)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5] + sq[E0+E2+E3+E6]\n    X.sthd = sq[E0+E1] + sq[E2+E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = (E0->E1) + ^((E2->E3)+(E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = (E2->E3)\n    X.stxn = sq[E0+E1]\n}\n\nrun p for 2 Exec, 7 E \/\/ found in 63550ms using Plingeling  on Benjamin\n","old_contents":"open ..\/archs\/exec_arm8L[E]\nopen ..\/models\/aarch64_txn[E] as M\n\nmodule arm8_lock_elision[E]\n\npred apply_map[X,X':Exec_Arm8L, map:E->E] { \n\n  map in (X.EV one-> X'.EV)\n\n  \/\/ no critical sections remain\n  no X'.(LkT + UkT + LkN + UkN)\n\n  \/\/ suppose we don't have transactions in the source program\n  no X.stxn\n\n  \/\/ events in the same critical section (where the critical\n  \/\/ section is one that is to be transactionalised), map to events \n  \/\/ in the same transaction.\n  (X.EV - X.UkT) <: scst[X] :> (X.EV - X.UkT) = map.(X'.stxn).~map\n\n  \/\/ the set of lock-related events introduced by the mapping\n  let L = map[X.(LkT + UkT + LkN + UkN)] {\n\n    \/\/ Mildly interesting observation: transactional memory models\n    \/\/ are not monotonic w.r.t. adding sequencing edges\n\n    X'.sthd = ~map.(X.sthd).map\n\n    all e1, e2 : X.EV |\n      (some e1.map and some e2.map) implies\n      ((e1 -> e2 in X.sb) iff (map[e1] -> map[e2] in X'.sb))\n\n    X.ad =   map.((X'.EV - L) <: (X'.ad)   :> (X'.EV - L)).~map\n    X.cd =   map.((X'.EV - L) <: (X'.cd)   :> (X'.EV - L)).~map\n    X.dd =   map.((X'.EV - L) <: (X'.dd)   :> (X'.EV - L)).~map\n    X.atom = map.((X'.EV - L) <: (X'.atom) :> (X'.EV - L)).~map\n    X.rf =   map.((X'.EV - L) <: (X'.rf)   :> (X'.EV - L)).~map\n    X.co =   map.((X'.EV - L) <: (X'.co)   :> (X'.EV - L)).~map\n\n    X.R     = (X'.R     - L).~map\n    X.W     = (X'.W     - L).~map\n    X.F     = (X'.F     - L).~map\n    X.DMBST = (X'.DMBST - L).~map\n    X.DMBLD = (X'.DMBLD - L).~map\n    X.ISB   = (X'.ISB   - L).~map\n    X.SCACQ = (X'.SCACQ - L).~map\n    X.SCREL = (X'.SCREL - L).~map \n\n    \/\/ lock-related events in X' are on the same location\n    X'.sloc = (L -> L) + ((X'.EV - L) <: ~map.(X.sloc).map :> (X'.EV - L))\n\n    \/\/ non-call events map to non-library events\n    all e : X.EV - X.LkT - X.LkN - X.UkT - X.UkN {\n\t  one e.map\n    }\n\n    \/\/ lock() to be transactionalised\n\tall e : X.LkT | some e1 : X'.EV {\n      e.map = e1\n      e1 in X'.R - X'.SCACQ \/\/ e1 is a lock-related read event\n\t  e1 not in ran[X'.rf] \/\/ e1 sees the lock is not taken\n    }\n\n\t\/\/ unlock() to be transactionalised\n    all e : X.UkT | no e.map\n\n    \/\/ lock() to be kept as a normal lock\n    all e : X.LkN | some disj e1, e2 : X'.EV {\n      e.map = e1 + e2\n      (e1 -> e2) in imm[X'.sb] & X'.atom \/\/ e1 and e2 form an RMW pair \n      e1 in X'.SCACQ & X'.R \/\/ e1 is a lock-related acquire read\n      e2 in X'.W \/\/ e2 is a lock-related write\n    }\n\n    \/\/ unlock() to be kept as a normal unlock\n    all e : X.UkN | some e1 : X'.EV {\n \t  e.map = e1\n      e1 in X'.SCREL & X'.W \/\/ eL is a lock-related release write\n    }\n\n  }   \n}\n\npred consistent_critical_sections[X:Exec_Arm8L] {\n  \/\/ no (po|com)-cycles among critical sections\n  let com = X.rf + X.co + fr[none->none,X] |\n  let scs = scst[X] + scsl[X] |\n  is_acyclic[ scs . (X.sb + com - scs) . scs ]\n}\n\npred p[X,X':Exec_Arm8L, map:E->E] {\n  withoutinit[X]\n  withoutinit[X']\n\n not {\n    M\/consistent[none->none, X]\n    consistent_critical_sections[X]\n  }\n\n  \/\/M\/dead[none->none, X]\n\n  M\/consistent[none->none, X']\n\n  apply_map[X,X',map]\n\/*\n  some disj E0, E1, E2, E3, E4, E5, E6: E {\n    hint_src[X,E0,E1,E2,E3,E4,E5,E6]\n    hint_tgt[X',E0,E1,E2,E3,E4,E5,E6]\n    map = (E0->E0) + (E1->E1) + (E3->E2) + (E3->E3) + (E4->E4) + (E5->E5) + (E6->E6)\n  }*\/\n}\n\npred hint_src[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/ E0:  LkT     || E3: LkN\n\/\/ E1:  W x 1   || E4: R x 0\n\/\/ E2:  UkT     ||     [data]\n\/\/              || E5: W x 2\n\/\/              || E6: UkN\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E4\n    X.W = E1+E5\n    X.F = none\n    X.LkT = E0\n    X.UkT = E2\n    X.LkN = E3\n    X.UkN = E6\n    X.SCACQ = none\n    X.SCREL = none\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5]\n    X.sthd = sq[E0+E1+E2] + sq[E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = ^((E0->E1)+(E1->E2)) + ^((E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = none->none\n    X.stxn = none->none\n}\n\npred hint_tgt[X:Exec_Arm8L, E0,E1,E2,E3,E4,E5,E6:E] {\n\/\/     txn {      || E2: R*[ACQ] lock 0   \n\/\/ E0:   R lock 0 || E3: W* lock 1 \n\/\/ E1:   W x 1    || E4: R x 0\n\/\/     }          ||     [data]\n\/\/                || E5: W x 2\n\/\/                || E6: W[REL] lock 2\n    X.EV = E0+E1+E2+E3+E4+E5+E6\n    X.R = E0+E2+E4\n    X.W = E1+E3+E5+E6\n    X.F = none\n    X.LkT = none\n    X.UkT = none\n    X.LkN = none\n    X.UkN = none\n    X.SCACQ = E2\n    X.SCREL = E6\n    X.DMBLD = none\n    X.DMBST = none\n    X.co = (E1->E5)+(E3->E6)\n    X.rf = none->none\n    X.sloc = sq[E1+E4+E5] + sq[E0+E2+E3+E6]\n    X.sthd = sq[E0+E1] + sq[E2+E3+E4+E5+E6]\n    X.cd = none->none\n    X.dd = E4->E5\n    X.ad = none->none\n    X.sb = (E0->E1) + ^((E2->E3)+(E3->E4)+(E4->E5)+(E5->E6))\n    X.atom = (E2->E3)\n    X.stxn = sq[E0+E1]\n}\n\nrun p for 2 Exec, 7 E \/\/ found in 63550ms using Plingeling  on Benjamin\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"c2eba126be95e1fd1e57206138c2115fe34be63a","subject":"Add Alloy exercise for Wednesday's tutorial","message":"Add Alloy exercise for Wednesday's tutorial\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final stated to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'tutorials\/2017\/wednesday\/tutorial_questions.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"95a459c61053f8ed3a817ecfb37615440b966c4b","subject":"increase maze size 3x3 -> 10x10.","message":"increase maze size 3x3 -> 10x10.\n","repos":"nagachika\/maze_maker,nagachika\/maze_maker,nagachika\/maze_maker","old_file":"alloy\/simple_maze.als","new_file":"alloy\/simple_maze.als","new_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u8ff7\u8def\u306e\u30b5\u30a4\u30ba\nfun height : Int {\n  10\n}\nfun width: Int {\n  10\n}\n\n\/\/ \u96a3\u63a5\u3059\u308b Cell\nfun adjacent (col: Col, row: Row) : Col -> Row {\n  col.prev -> row +\n  col.next -> row +\n  col -> row.prev +\n  col -> row.next\n}\n\nsig Col {\n  paths: Row -> Col -> Row\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  all row: Row | no (this -> row) & row.paths\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Cell\n  all row: Row | row.paths in adjacent[this, row]\n}\nsig Row {}\n\none sig entrance_x extends Col {}\none sig entrance_y extends Row {}\none sig exit_x extends Col {}\none sig exit_y extends Row {}\n\n\/\/  \u4f4d\u7f6e\u304c\u76e4\u306e\u7aef\npred edge (col: Col, row: Row) {\n  col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ \u5168\u3066\u306e\u4f4d\u7f6e\u304c paths \u306b\u542b\u307e\u308c\u3066\u3044\u308b\n  all col: Col, row: Row | (col -> row) in paths[Col, Row]\n  \/\/ paths \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  all c1, c2: Col, r1, r2: Row | (c1 -> r1 -> c2 -> r2) in paths => (c2 -> r2 -> c1 -> r1) in paths\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[entrance_x, entrance_y]\n  edge[exit_x, exit_y]\n}\n\nrun {\n  #Col = width[]\n  #Row = height[]\n} for 10\n","old_contents":"module maze_maker\/simple_maze\n\nopen util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\n\/\/ \u8ff7\u8def\u306e\u30b5\u30a4\u30ba\nfun height : Int {\n  3\n}\nfun width: Int {\n  3\n}\n\n\/\/ \u96a3\u63a5\u3059\u308b Cell\nfun adjacent (col: Col, row: Row) : Col -> Row {\n  col.prev -> row +\n  col.next -> row +\n  col -> row.prev +\n  col -> row.next\n}\n\nsig Col {\n  paths: Row -> Col -> Row\n} {\n  \/\/ \u81ea\u5206\u81ea\u8eab\u3068\u306e\u63a5\u7d9a\u306f\u306a\u3057\n  all row: Row | no (this -> row) & row.paths\n  \/\/ \u63a5\u7d9a\u5148\u306f\u5fc5\u305a\u96a3\u63a5\u3059\u308b(4\u8fd1\u508d\u306e) Cell\n  all row: Row | row.paths in adjacent[this, row]\n}\nsig Row {}\n\none sig entrance_x extends Col {}\none sig entrance_y extends Row {}\none sig exit_x extends Col {}\none sig exit_y extends Row {}\n\n\/\/  \u4f4d\u7f6e\u304c\u76e4\u306e\u7aef\npred edge (col: Col, row: Row) {\n  col = cols\/first or col = cols\/last or row = rows\/first or row = rows\/last\n}\n\nfact {\n  \/\/ \u5168\u3066\u306e\u4f4d\u7f6e\u304c paths \u306b\u542b\u307e\u308c\u3066\u3044\u308b\n  all col: Col, row: Row | (col -> row) in paths[Col, Row]\n  \/\/ paths \u306e\u9023\u7d50\u306f\u53cd\u5c04\u7684\n  all c1, c2: Col, r1, r2: Row | (c1 -> r1 -> c2 -> r2) in paths => (c2 -> r2 -> c1 -> r1) in paths\n  \/\/ \u5165\u53e3\u3068\u51fa\u53e3\u306f\u3044\u305a\u308c\u3082\u76e4\u9762\u306e\u7aef\u306b\u4f4d\u7f6e\u3059\u308b\n  edge[entrance_x, entrance_y]\n  edge[exit_x, exit_y]\n}\n\nrun {\n  #Col = width[]\n  #Row = height[]\n} for 3\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"d8b52b333bd0b981946890875b9b250995b95320","subject":"speed up","message":"speed up\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustlogic2.als","new_file":"illust_logic\/illustlogic2.als","new_contents":"open util\/ordering[SmallInt]\n\none sig Root{\n  cell: Int -> Color -> Int\n}{\n  all x: cell.univ.univ | in_ten[x]\n  all y: univ.(univ.cell) | in_ten[y]\n  let ten = {x: Int | in_ten[x]}{\n    all x, y: ten{\n      one x.cell.y\n    }\n  }\n}\n\npred in_ten(x: Int){\n  one x\n  0 <= x and x < 10  \/\/ notice: for 5 Int required\n}\n\nenum Color { Black, White }\n\n\nfun getCol(i: Int): seq Color{\n  ~(i.(Root.cell))\n}\nfun getRow(i: Int): seq Color{\n  (Root.cell).i\n}\n\n\n\/\/ \u6307\u5b9a\u3055\u308c\u305f\u30bb\u30eb\u304c\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\npred is_black_head(line: seq Color, pos: Int) {\n  \/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u5834\u5408\u3092\u542b\u3080)\n  prev_is_not_black[line, pos]\n  \/\/ \u3053\u306e\u30bb\u30eb\u306f\u5b58\u5728\u3057\u3066\u3044\u3066\u9ed2\u3044\n  let this_ = line[pos]{\n    one this_ and this_ in Black\n  }\n}\n\npred sorted(xs: SmallInt, ss: seq SmallInt){\n  \/\/ ss\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n  ss.elems = xs\n  \/\/ ss\u306f\u5358\u8abf\u5897\u52a0\n  all i: ss.butlast.inds | lt [ss[i], ss[plus[i, 1]]]\n}\n\n\/\/ \u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\nfun get_heads(line: seq Color): SmallInt{\n  {i: SmallInt | is_black_head[line, i.to_int]}\n}\n\nfun get_end(start: Int, size: Int): Int{\n  plus[start, minus[size, 1]]\n}\n\npred all_black(line: seq Color, start: Int, end: Int){\n  all i: Int {\n    (start =< i and i =< end) => (line[i] = Black)\n  }\n}\n\n\/\/ \u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred is_not_black(c: Color){\n  no c or c in White\n}\n\/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred prev_is_not_black(line: seq Color, pos: Int) {\n  let prev = minus[pos, 1] {\n    is_not_black[line[prev]]\n  }\n}\n\/\/ \u76f4\u5f8c\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred next_is_not_black(line: seq Color, pos: Int) {\n  let next = plus[pos, 1]{\n    is_not_black[line[next]]\n  }\n}\n\nsig SmallInt{}\nfun from_int (i: Int): SmallInt {\n  {x: SmallInt | #(x.prevs) = i}\n}\n\nfun to_int (x: SmallInt): Int {\n  #(x.prevs)\n}\n\npred hint(line: seq Color, sizes: seq Int){\n  some heads: seq SmallInt {\n    #heads = #sizes\n    sorted[get_heads[line], heads]\n    all i: sizes.inds {\n      let start = heads[i], \n\t\t\t\tend = from_int[get_end[start.to_int, sizes[i]]] {\n        some line[end.to_int]\n        all_black[line, start.to_int, end.to_int]\n        next_is_not_black[line, end.to_int]\n      }\n    }\n  }\n}\npred colHint (i: Int, sizes: seq Int) {\n  hint[getCol[i], sizes]\n}\npred rowHint (i: Int, sizes: seq Int) {\n  hint[getRow[i], sizes]\n}\n\nrun{\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 5 Int, exactly 10 SmallInt\n","old_contents":"one sig Root{\n  cell: Int -> Color -> Int\n}{\n  all x: cell.univ.univ | in_ten[x]\n  all y: univ.(univ.cell) | in_ten[y]\n  let ten = {x: Int | in_ten[x]}{\n    all x, y: ten{\n      one x.cell.y\n    }\n  }\n}\n\npred in_ten(x: Int){\n  one x\n  0 <= x and x < 10  \/\/ notice: for 5 Int required\n}\n\nenum Color { Black, White }\n\n\nfun getCol(i: Int): seq Color{\n  ~(i.(Root.cell))\n}\nfun getRow(i: Int): seq Color{\n  (Root.cell).i\n}\n\n\n\/\/ \u6307\u5b9a\u3055\u308c\u305f\u30bb\u30eb\u304c\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\npred is_black_head(line: seq Color, pos: Int) {\n  \/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u5834\u5408\u3092\u542b\u3080)\n  prev_is_not_black[line, pos]\n  \/\/ \u3053\u306e\u30bb\u30eb\u306f\u5b58\u5728\u3057\u3066\u3044\u3066\u9ed2\u3044\n  let this_ = line[pos]{\n    one this_ and this_ in Black\n  }\n}\n\npred sorted(xs: Int, ss: seq Int){\n  \/\/ ss\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n  ss.elems = xs\n  \/\/ ss\u306f\u5358\u8abf\u5897\u52a0\n  all i: ss.butlast.inds | lt [ss[i], ss[plus[i, 1]]]\n}\n\n\/\/ \u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\nfun get_heads(line: seq Color): Int{\n  {i: Int | is_black_head[line, i]}\n}\n\nfun get_end(start: Int, size: Int): Int{\n  plus[start, minus[size, 1]]\n}\n\npred all_black(line: seq Color, start: Int, end: Int){\n  all i: Int {\n    (start =< i and i =< end) => (line[i] = Black)\n  }\n}\n\n\/\/ \u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred is_not_black(c: Color){\n  no c or c in White\n}\n\/\/ \u76f4\u524d\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred prev_is_not_black(line: seq Color, pos: Int) {\n  let prev = minus[pos, 1] {\n    is_not_black[line[prev]]\n  }\n}\n\/\/ \u76f4\u5f8c\u306e\u30d6\u30ed\u30c3\u30af\u304c\u9ed2\u3067\u306a\u3044(\u5b58\u5728\u3057\u306a\u3044\u304b\u767d\u3067\u3042\u308b)\npred next_is_not_black(line: seq Color, pos: Int) {\n  let next = plus[pos, 1]{\n    is_not_black[line[next]]\n  }\n}\n\npred hint(line: seq Color, sizes: seq Int){\n  some heads: seq Int {\n    #heads = #sizes\n    sorted[get_heads[line], heads]\n    all i: sizes.inds {\n      let start = heads[i], end = get_end[start, sizes[i]] {\n        some line[end]\n        all_black[line, start, end]\n        next_is_not_black[line, end]\n      }\n    }\n  }\n}\npred colHint (i: Int, sizes: seq Int) {\n  hint[getCol[i], sizes]\n}\npred rowHint (i: Int, sizes: seq Int) {\n  hint[getRow[i], sizes]\n}\n\nrun{\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"efc93ab594fd4a1a27b149c82b709e8ff041ddb2","subject":"alloy file","message":"alloy file","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.requirements\/SimlifiedConfigurationModel.als","new_file":"eu.modelwriter.demonstration.requirements\/SimlifiedConfigurationModel.als","new_contents":"module Haveksan\/Requirement\n\nabstract sig Requirement {}\n\nsig Task {\n\tprecede: lone Task,\n}{ all t: Task | one t.~task}\n\none sig Project extends Requirement {\n\trequirement: some ContractRequirement }\n\nsig ContractRequirement extends Requirement {\n\tsystem: set SystemRequirement,\n\trelate: set ContractRequirement\n}{all c: ContractRequirement | one c.~requirement}\n\n--@name: \"System Requirement\"\nsig SystemRequirement extends Requirement { \n\tchild: some Implementation\n}{ all s: SystemRequirement | one s.~system}\n\nabstract sig Implementation extends Requirement {\n\ttask: set Task\n}{ all i: Implementation | one i.~child}\n\n--@context.editor: \"ReqIFEditor\"\nsig SoftwareRequirement extends Implementation {\n\ttest: some TestCase\n}\n\nsig HardwareRequirement extends Implementation {}\n\nsig TestCase { }{ all t:TestCase  | one t.~test}\n\n\nfact noSelfRelation{\n\tno c: ContractRequirement | c in c.relate\n\tno t: Task | t in t.precede }\n\nfact noCycles{no t:Task | t in t.^precede}\n\nfact realismConstraint {\n\tsome ContractRequirement \n\tsome HardwareRequirement \n\tsome SoftwareRequirement\n\tsome precede}\n\n\/* Counterexample Finding *\/\n\n\n\/* Instance Finding *\/\npred example {\n\t#ContractRequirement >1 and #SystemRequirement >2  and \n\t#SoftwareRequirement >1 and #HardwareRequirement >1 and\n\t#precede >1 and #task >1\n}\nrun example for 10\n\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.demonstration.requirements\/SimlifiedConfigurationModel.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"96b3d84f2c3af635eca7beefc611af4a5135c9ec","subject":"Checking weak isolation for all transactions","message":"Checking weak isolation for all transactions\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_strong_isolation.als","new_file":"mappings\/c11_strong_isolation.als","new_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\n\nmodule c11_strong_isolation[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  let com = X.rf + X.co + fr[none->none,X] |\n \/\/ not (is_acyclic[weaklift[com, X.stxn, none->none, X]])\n  not (is_acyclic[stronglift[com, X.atxn, none->none, X]])\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 6 E\n","old_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\n\nmodule c11_strong_isolation[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  let com = X.rf + X.co + fr[none->none,X] |\n  not (is_acyclic[stronglift[com, X.atxn, none->none, X]])\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 6 E\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"33529890e3737d60ab97d1ed0e6742836f77d912","subject":"bugfix","message":"bugfix\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"archs\/fences_as_relations\/exec_H.als","new_file":"archs\/fences_as_relations\/exec_H.als","new_contents":"module exec_H[E]\nopen exec[E]\n\nsig Exec_H extends Exec {\n}{\n  \/\/ there are no fence events (only fence relations)\n  no F\n\n  \/\/ control dependencies are defined differently in assembly\n  cd.sb in cd\n}\n\npred is_fence_rel[fence_rel:E->E, sb:E->E] {\n    \n  \/\/ Consistent with program order\n  fence_rel in sb\n\n  \/\/ Preserved by pre- or post-composition with program order  \n  *sb . fence_rel . *sb in fence_rel\n\n  \/\/ Can be traced back to an immediate sb-pair\n  no ((sb - fence_rel) . (sb - fence_rel)) & fence_rel\n\n  \/\/fence_rel in imm[sb]\n\n}\n\nfun mk_fence_rel[e:PTag->E, t:PTag, f:E->E, sb:E->E] : E->E {\n  rm_EV_rel[e, *sb.((univ - e[t]) <: imm[f]).*sb] }\n","old_contents":"module exec_H[E]\nopen exec[E]\n\nsig Exec_H extends Exec {\n  atom : E -> E \/\/ atomicity relation\n}{\n\n  \/\/ the atom relation relates a consecutively-sequenced read\/write pair\n  atom in (R->W) & imm[sb] & sloc\n    \n  \/\/ there are no single-event RMWs\n  no (R&W)\n\n  \/\/ there are no fence events (only fence relations)\n  no F\n\n  \/\/ control dependencies are defined differently in assembly\n  cd.sb in cd\n\n  \/\/ the atom relation relates either\n  \/\/ - two events in the same transaction or\n  \/\/ - two events that are non-transactional\n  atom in stxn + ((EV - dom[stxn]) -> (EV - dom[stxn]))\n}\n\npred is_fence_rel[fence_rel:E->E, sb:E->E] {\n    \n  \/\/ Consistent with program order\n  fence_rel in sb\n\n  \/\/ Preserved by pre- or post-composition with program order  \n  *sb . fence_rel . *sb in fence_rel\n\n  \/\/ Can be traced back to an immediate sb-pair\n  no ((sb - fence_rel) . (sb - fence_rel)) & fence_rel\n\n\n  \/\/fence_rel in imm[sb]\n\n}\n\nfun mk_fence_rel[e:PTag->E, t:PTag, f:E->E, sb:E->E] : E->E {\n  rm_EV_rel[e, *sb.((univ - e[t]) <: imm[f]).*sb] }\n\none sig rm_atom extends PTag {}\n\nfun atom[e:PTag->E, X:Exec_H] : E->E { \n  rm_EV_rel[e, (univ - e[rm_atom]) <: X.atom] }\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"ef0a80a0983b91f920cff19c9b29374a63b2d4c2","subject":"remove Int2*","message":"remove Int2*\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\n\n-- about rows or cols\nfun headsInRow (r: Row): set Col {\n  { c: Col | is_black_head[c, r, cols\/prev]}\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | is_black_head[c, r, rows\/prev]}\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in headsInRow[r] and is_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in headsInCol[c] and is_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = IntTo[j, Row] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = IntTo[j, Col] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\n\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | is_black_head[c, r, cols\/prev]}\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | is_black_head[c, r, rows\/prev]}\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in headsInRow[r] and is_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in headsInCol[c] and is_black_head[c, r, rows\/prev]\n\t}\n}\n\n-- about rows or cols\n\n\n\n\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n\n\n-- about cols\n\n\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"9d306501edcf0d9ae7d5307d19fd82a121be1ec8","subject":"Resolving recent contradictions in model","message":"Resolving recent contradictions in model\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a, b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 7 seq, 6 int\n","old_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A person standing for election\nsig Candidate {\n    identifier: Int,               -- Unique identifier for this candidate\n  \tvotes: \t\tset Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: set Ballot, \t-- Ballots received by transfer from another candidate\n\tsurplus: \tset Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \tEvent\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t\t-- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \t\t\tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\n\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact wellFormedQuota {\n\tElection.method = STV implies \n\t\t#BallotBox.ballots < Scenario.quota.mul[Election.seats+1] and\n\t\tScenario.quota.mul[Election.seats] <= #BallotBox.ballots \n}\n\nfact wellFormedThreshold {\n\t#BallotBox.ballots <= Scenario.threshold.mul[20] or \n\tElection.method = STV implies Scenario.quota <= Scenario.threshold.mul[4]\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c]\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert wellFormedBallotBox {\n\t\t#BallotBox.ballots = sum (#Election.candidates.votes) \n}\ncheck wellFormedBallotBox for 14 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ No ballots created or destroyed during counting\nassert immutability {\n\tall c: Candidate | c.votes + c.transfers in BallotBox.ballots and c.surplus in BallotBox.ballots\n}\ncheck immutability for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n\tsome a: Candidate | a.outcome = Winner\n   \tsome b: Candidate | b.outcome = QuotaWinner\n\tsome c: Candidate | c.outcome = CompromiseWinner\n\tsome d: Candidate | d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 8 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred TwentyCandidates {\n\t#Election.candidates = 20\n\tsome c: Candidate | 0 < #c.votes and c in Scenario.losers\n}\nrun TwentyCandidates for 20 but 6 int\n\npred Outcomes {\n \tsome disj a,b,c,d,e,f,g,h,i: Candidate | \n\t\t(a.outcome = Winner and b.outcome = QuotaWinner and \n\t\tc.outcome = CompromiseWinner and d.outcome = Loser and\n\t\te.outcome = EarlyLoser and f.outcome = SoreLoser and\n\t\tg.outcome = TiedWinner and h.outcome = TiedLoser and i.outcome = TiedEarlyLoser)\n}\nrun Outcomes for 10 but 6 int\n\npred TenDifferentBallots {\n\t#BallotBox.ballots = 10\n\tno disj a,b: Ballot | a.preferences.first = b.preferences.first and #a.preferences = #b.preferences and\n\t\ta.preferences.last = b.preferences.last and #a.assignees = #b.assignees\n}\nrun TenDifferentBallots for 10 but 6 int\n\npred ScenarioLWW {\n\tsome a: Candidate | a.outcome = Loser\n\tsome disj b,c: Candidate | b.outcome = Winner and c.outcome = Winner\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 int\n\npred AnyScenarioWithTiedSoreLoser {\n\tsome c: Candidate | c.outcome = TiedSoreLoser\n}\nrun AnyScenarioWithTiedSoreLoser for 6 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 12\n}\nrun LongBallot for 15 but 15 seq, 7 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"907e3b761e0c8df1d546137d0f78887a5e5437bc","subject":"refactor fun range","message":"refactor fun range\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\npred sorted(xs: Int, s: seq Int){\n\t\/\/ s\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n\ts.elems = xs\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\t\n}\n\n-- about rows or cols\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\tsorted[\n\t\t{ c: Col | is_black_head[c, r, cols\/prev]}.index,\n\t\ts.index]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\tsorted[\n\t\t{ r: Row | is_black_head[c, r, rows\/prev]}.index,\n\t\ts.index]\n}\n\n\nfun range(R: Region, start, end: Int): Region{\n\t{r: R | start =< r.index and r.index =< end}\n}\n\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[Col, start.index, end.index] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[Row, start.index, end.index] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\npred sorted(xs: Int, s: seq Int){\n\t\/\/ s\u306e\u8981\u7d20\u306fxs\u3068\u540c\u4e00\n\ts.elems = xs\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\t\n}\n\n-- about rows or cols\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\tsorted[\n\t\t{ c: Col | is_black_head[c, r, cols\/prev]}.index,\n\t\ts.index]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\tsorted[\n\t\t{ r: Row | is_black_head[c, r, rows\/prev]}.index,\n\t\ts.index]\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"152d0718e578c4b27e838dfbeff187490baeb8c1","subject":"tabify","message":"tabify\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n\tcell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n\tall c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n\tno_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n\tcell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n\tno c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n\tno c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n\ts.elems = { c: Col | is_black_head[c, r, cols\/prev]}\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n\ts.elems = { r: Row | is_black_head[c, r, rows\/prev]}\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n\tall i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\npred rowHint (j: Int, sizes: seq Int) {\n\tlet r = IntTo[j, Row] | some cs: seq Col {\n\t\t#sizes = #cs\n\t\t\/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n\t\theadsSeqInRow [r, cs]\n\t\tall i: sizes.inds {\n\t\t\t\/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n\t\t\tlet start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n\t\t\t\t\/\/ end\u304c\u5b58\u5728\u3059\u308b\n\t\t\t\tsome end\n\t\t\t\t\/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n\t\t\t\tall c: range[start, end, cols\/next] | cell [c, r] in Black\n\t\t\t\t\/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n\t\t\t\tno end.next or cell [end.next, r] in White\n\t\t\t}\n\t\t}\n\t}\n}\npred colHint (j: Int, sizes: seq Int) {\n\tlet c = IntTo[j, Col] | some rs: seq Row {\n\t\t#sizes = #rs\n\t\theadsSeqInCol [c, rs]\n\t\tall i: sizes.inds {\n\t\t\tlet start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n\t\t\t\tsome end\n\t\t\t\tall r: range[start, end, rows\/next] | cell [c, r] in Black\n\t\t\t\tno end.next or cell [c, end.next] in White\n\t\t\t}\n\t\t}\n\t}\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n\trowHint [0, 0 -> 3]\n\trowHint [1, 0 -> 2 + 1 -> 2]\n\trowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n\trowHint [3, 0 -> 3 + 1 -> 3]\n\trowHint [4, 0 -> 5]\n\trowHint [5, 0 -> 7]\n\trowHint [6, 0 -> 7]\n\trowHint [7, 0 -> 7]\n\trowHint [8, 0 -> 7]\n\trowHint [9, 0 -> 5]\n\n\tcolHint [0, 0 -> 4]\n\tcolHint [1, 0 -> 6]\n\tcolHint [2, 0 -> 7]\n\tcolHint [3, 0 -> 9]\n\tcolHint [4, 0 -> 2 + 1 -> 7]\n\tcolHint [5, 0 -> 1 + 1 -> 6]\n\tcolHint [6, 0 -> 2 + 1 -> 4]\n\tcolHint [7, 0 -> 3]\n\tcolHint [8, 0 -> 1]\n\tcolHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun IntTo(i: Int, R: Region): Region{\n\tindex.i & R\n}\n\n-- about rows or cols\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in { c: Col | is_black_head[c, r, cols\/prev]}\n\t\tis_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in { r: Row | is_black_head[c, r, rows\/prev]}\n\t\tis_black_head[c, r, rows\/prev]\n\t}\n}\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = { c: Col | is_black_head[c, r, cols\/prev]}\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = { r: Row | is_black_head[c, r, rows\/prev]}\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = IntTo[j, Row] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\npred colHint (j: Int, sizes: seq Int) {\n  let c = IntTo[j, Col] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"7af1acb6ff904bbc18481129ad7b951151d290cb","subject":"mystery","message":"mystery\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"mystery.als","new_file":"mystery.als","new_contents":"open util\/ordering[Time]\nenum Person {A, B, C}\nsig Place {}\none sig Nowhere extends Place {}\nsig Time {\n   visit: Person -> Place\n}\nfact {\n   all t: Time, p: Person {\n      one t.visit[p] \/\/ \u4eba\u306f\u4e00\u5ea6\u306b\u4e00\u7b87\u6240\u306b\u3057\u304b\u3044\u306a\u3044\n   }\n}\n\nenum Bool {T, F}\nenum BoolBool {TT, TF, FT, FF}\n\nabstract sig Constrain{\n   by: one Person,\n   who: one Person\n}\n\n\nsig is_honest extends Constrain {}\nsig is_visit extends Constrain {\n   when: Time,\n   where: Place\n}\n\npred satisfy(cs: Constrain, a, b, c: BoolBool){\n   let\n      bb = (A -> a) + (B -> b) + (C -> c),\n      b0 = bb.(TT -> T + TF -> T + FT -> F + FF -> F),\n      b1 = bb.(TT -> T + TF -> F + FT -> T + FF -> F)\n   {\n      \/\/ b0: Person -> Bool \/\/ \u6b63\u76f4T \u5618\u3092\u3064\u304f\u304b\u3082\u3057\u308c\u306a\u3044\u4eba\n      \/\/ b1: Person -> Bool \/\/ \u72af\u4ebaT\n      \/\/ \u6b63\u76f4\u8005\u306e\u4eba\u6570\u306f1\u4eba\n      \/\/#{b0.T} = 1\n      \/\/ \u72af\u4eba\u306f1\u4eba\n      #{b1.T} = 1\n\n      \/\/ \u3059\u3079\u3066\u306e\u6b63\u76f4\u767a\u8a00\u306b\u3064\u3044\u3066\u3001\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\u5bfe\u8c61\u3082\u6b63\u76f4\n      all c: cs & is_honest{\n\t (c.by.b0 = T) => (c.who.b0 = T)\n      }\n      \/\/ \u3059\u3079\u3066\u306e\u76ee\u6483\u60c5\u5831\u306b\u3064\u3044\u3066\n      \/\/ \u767a\u8a00\u8005\u304c\u6b63\u76f4\u306a\u3089\n      all c: cs & is_visit{\n\t (c.by.b0 = T) => {\n\t    let t = c.when {\n\t       t.visit[c.who] = c.where \/\/ \u305d\u306e\u6642\u523b\u306b\u305d\u3053\u306b\u3044\u308b\n\t    }\n\t }\n      }\n   }\n}\n\nfact {\n   \/\/ \u4eba\u306e\u79fb\u52d5\u306b\u95a2\u3059\u308b\u5236\u7d04\n   all t: Time - first, p: Person {\n      t.visit[p] = t.prev.visit[p] \/\/ \u540c\u3058\u4f4d\u7f6e\u306b\u3068\u3069\u307e\u308b\n      or t.visit[p] = Nowhere or t.prev.visit[p] = Nowhere\n   }\n}\n\nrun {\n   let answers = {\n      a, b, c: BoolBool |\n    \t satisfy[Constrain, a, b, c]}\n   {\n\/\/\tsome answers\n      one answers\n\/*\n      all x: Constrain {\n\t not one {\n\t    a, b, c: BoolBool |\n\t       satisfy[Constrain - x, a, b, c]\n\t }\n      }\n*\/\n   }\n} for 3 Place, 3 Time, 20 Constrain\n","old_contents":"sig Person {}\n\nrun {} for 3 Person","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"7e1db1e5a2d5d80505317eadedacc36c2f8aa042","subject":"Fixed overconstraint in well-formedness of ballot papers.","message":"Fixed overconstraint in well-formedness of ballot papers.\n","repos":"GaloisInc\/Votail,GaloisInc\/Votail,GaloisInc\/Votail","old_file":"models\/Voting.als","new_file":"models\/Voting.als","new_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A individual person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.last.identifier and v.ranking = #preferences\n    all v: Vote | v.ballot = identifier implies v.candidate = preferences.subseq[v.ranking-1,v.ranking].first.identifier\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c] + 1\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ No duplicate ranking of candidates in same ballot\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and\n\t\t(v.candidate = w.candidate or v.ranking = w.ranking)\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome disj a,b,c,d: Ballot | 0 < #a.preferences and 0 < #b.preferences \n\tand 0 < #c.preferences and 0 < #d.preferences\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n","old_contents":"-- (c) 2010, Dermot Cochran, IT University of Copenhagen\n-- http:\/\/www.kindsoftware.com\/about\/people\/dc\n-- http:\/\/www.itu.dk\/people\/dero\n\nmodule Voting\n\nopen util\/integer\n\n-- A individual person standing for election\nsig Candidate {\n    identifier:       Int,             -- Unique identifier for this candidate\n    votes: \t\t\t  set Ballot, \t-- First preference ballots assigned to this candidate\n\ttransfers: \t      set Ballot,   -- Ballots received by transfer from another candidate\n\tsurplus: \t\t  set Ballot, \t-- Ballots given to another candidate (on election or elimination)\n\toutcome: \t\t  Event\t\n} {\n\tno b: Ballot | b in votes & transfers\n\tall b: Ballot | b in votes + transfers => this in b.assignees\n\tsurplus in votes + transfers\n\tElection.method = Plurality implies #surplus = 0 and #transfers = 0\n    0 < identifier\n}\n\n-- A digital or paper artifact which accurately records the intentions of the voter\nsig Ballot {\n  identifier:\t\tInt,\t\t\t\t    -- Unique identifier for this ballot\n  assignees: \t\tset Candidate,  -- Candidates to which this ballot has been assigned\n  preferences: \tseq Candidate\n} {\n\tassignees in preferences.elems\n    not preferences.hasDups\n\tpreferences.elems in Election.candidates\n\tpreferences.first in assignees\n\tElection.method = Plurality implies #preferences = 1\n    0 < #preferences\n    0 < identifier\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.first.identifier and v.ranking = 1\n    some v: Vote | v.ballot = identifier and v.candidate = preferences.last.identifier and v.ranking = #preferences\n    all v: Vote | v.ballot = identifier implies v.candidate = preferences.subseq[v.ranking-1,v.ranking].first.identifier\n}\n\n-- Table of fragments of Votes used for encoding of results\nsig Vote {\n\tballot:\t\t\tInt,\t\t-- Ballot identifier\n    candidate: \tInt,\t\t-- Candidate identifier\n    ranking: \t\tInt\t\t-- Ranking of candidate on ballot paper (e.g. 1,2,3,...)\n} {\n\t0 < ranking and ranking <= #Election.candidates\n    some b: Ballot | b.identifier = ballot and ranking <= #b.preferences\n    some c: Candidate | c.identifier = candidate\n}\n\n-- An election result\none sig Scenario {\n   \tlosers: \t\t\t\tset Candidate,\n   \twinners: \t\t\tset Candidate,\n\teliminated: \t\tset Candidate, \t\t-- Candidates excluded under STV rules\n\tthreshold: \t\tInt, \t\t\t\t\t\t-- Minimum number of votes for a Loser or EarlyLoser\n\tquota: \t\t\t\tInt\t\t\t\t\t\t-- Minimum number of votes for a STV Winner or QuotaWinner\n}\n{\n \twinners + losers = Election.candidates\n \t#winners = Election.seats\n \tno c: Candidate | c in losers & winners\n \t0 < #losers\n \tall w: Candidate | all l: Candidate | l in losers and w in winners implies \n\t\t#l.votes + #l.transfers <= #w.votes + #w.transfers\n\t0 <= threshold\n\tthreshold < quota\n\tElection.method = Plurality implies #eliminated = 0\n\teliminated in losers\n\tall c: Candidate | c in losers implies Election.method = Plurality or #c.votes + #c.transfers < quota\n}\n\n\/* \n\tThere are four winner-outcomes and six loser-outcomes:\n\n\tWinner: \t\t\t\t\t\t(W1) elected in the first round of counting either by quota or plurality,\n\tQuotaWinner: \t\t\t\t(W2) elected with transfers from another candidate (STV only),\n\tCompromiseWinner: \t(W3) elected on the last round of counting without quota (STV only),\n\tTiedWinner:\t\t\t\t\t(W4) elected by tie breaker,\n\tTiedLoser:\t\t\t\t\t(L1) loses only by tie breaker but reaches the threshold,\n\tLoser:\t\t\t \t\t\t\t(L2) defeated on last round but reaches the minimum threshold of votes,\n    TiedEarlyLoser:\t\t\t(L3) reaches threshold but eliminated by tie breaker (STV only),\n\tEarlyLoser:\t\t\t\t\t(L4) reaches threshold but is eliminated before last round (STV only),\n\tTiedSoreLoser:\t\t\t\t(L5) loses only by tie breaker but does not reach threshold,\n\tSoreLoser: \t\t\t\t\t(L6) does not even reach the mimimum threshold of votes\n*\/\nenum Event {Winner, QuotaWinner, CompromiseWinner, TiedWinner, \n\tTiedLoser, Loser, TiedEarlyLoser, EarlyLoser, TiedSoreLoser, SoreLoser}\n\nenum Method {Plurality, STV}\n\n-- An Election Constituency\none sig Election {\n  candidates: \tset Candidate,\n  seats: \t\t\t\tInt,\n  method: \tMethod\n}\n{\n \t0 < seats\n \tseats < #candidates\n \tall c: Candidate | c in candidates\n}\n\n-- Independent (or Fundamental) Axioms\nfact uniqueCandidateID {\n  no disj a,b: Candidate | a.identifier = b.identifier\n}\n\nfact uniqueBallotID {\n  no disj a,b: Ballot | a.identifier = b.identifier\n}\n\nfact nonDuplicationOfVotes {\n  no disj a,b: Vote | a.ballot = b.ballot and a.candidate = b.candidate\n}\n\nfact integrity {\n  all c: Candidate | all b: Ballot | b in c.votes implies c in b.assignees\n}\n\nfact pluralityEvents {\n\tall c: Candidate | Election.method = Plurality implies\n\t\t(c.outcome = Loser or c.outcome = SoreLoser or c.outcome = Winner or \n\t\tc.outcome = TiedWinner or c.outcome = TiedLoser)\n}\n\nfact winnerSTV {\n\tall c: Candidate | Election.method = STV implies (\n\t\tc.outcome = Winner iff Scenario.quota <= #c.votes)\n}\n\nfact transferWinner {\n\tall c: Candidate | c.outcome = QuotaWinner iff \n\t\t#c.votes < Scenario.quota and Scenario.quota <= #c.votes + #c.transfers \n}\n\nfact closeWinner {\n\tall c: Candidate | c.outcome = CompromiseWinner or c.outcome = TiedWinner iff \n\t\tc in Scenario.winners and #c.votes + #c.transfers < Scenario.quota\n}\n\nfact soreLoser {\n\tall c: Candidate | (c.outcome = SoreLoser or c.outcome = TiedSoreLoser) iff \n\t\t#c.votes + #c.transfers < Scenario.threshold\n}\n\nfact loser {\n\tall c: Candidate | (c.outcome = Loser or c.outcome = TiedLoser or c.outcome = TiedSoreLoser) iff \n\t\tc in Scenario.losers - Scenario.eliminated\n}\n\nfact earlyLoser {\n\tall c: Candidate | c.outcome = EarlyLoser or c.outcome = TiedEarlyLoser iff \n\t\t(c in Scenario.losers & Scenario.eliminated and Scenario.threshold <= #c.votes + #c.transfers)\n}\n\nfact winners {\n\tall c: Candidate | c in Scenario.winners iff \n\t\tc.outcome = Winner or c.outcome = QuotaWinner or c.outcome = CompromiseWinner or \n\t\tc.outcome = TiedWinner\n}\n\nfact losers {\n\tall c: Candidate | c in Scenario.losers iff\n\t\t(c.outcome = Loser or c.outcome = EarlyLoser or c.outcome = SoreLoser or \n\t\tc.outcome = TiedLoser or c.outcome = TiedEarlyLoser or c.outcome = TiedSoreLoser)\n}\n\n-- Non-Independent Axioms for Ballot Integrity\nfact transfers {\n\tall c: Candidate | 0 < #c.transfers implies Election.method = STV\n}\n\nfact onlyWinnersAndQuotaWinnersHaveSurplus {\n\tall c: Candidate | 0 < #c.surplus implies \n\t\tc.outcome = Winner or c.outcome = QuotaWinner\n}\n\nfact winnersNeedNoTransfers {\n\t\tall c: Candidate | c.outcome = Winner implies 0 = #c.transfers\n}\n\nfact firstPreference {\n\tall b: Ballot | all c: Candidate | b.preferences.first = c iff b in c.votes\n}\n\nfact sizeOfSurplus {\n\tall c: Candidate | (c in Scenario.winners and Election.method = STV and 0 < #c.surplus) implies \n\t\t#c.surplus = #c.votes + #c.transfers - Scenario.quota\n}\n\nfact transferToNextPreference {\n\tall b: Ballot | all disj donor,receiver: Candidate |\n\t\t(donor + receiver in b.assignees and\n\t\tb in receiver.transfers and b in donor.surplus implies \n\t\tb.preferences.idxOf[donor] < b.preferences.idxOf[receiver] and\n\t\treceiver in b.preferences.rest.elems)\n}\n\nfact pluralityWinner {\n\tall disj a, b: Candidate | (Election.method = Plurality and Election.seats = 1) and\n\t\ta.outcome = Winner implies #b.votes <= #a.votes\n}\n\nfact transferToNextContinuingCandidate {\n\tall disj skipped, receiving: Candidate | all b: Ballot |\n\t\tb.preferences.idxOf[skipped] < b.preferences.idxOf[receiving] and\n\t\treceiving in b.assignees and (not skipped in b.assignees) implies\n\t\t(skipped in Scenario.eliminated or skipped.outcome = Winner or \n\t\tskipped.outcome = QuotaWinner)\n}\n\n\/\/ All ballots transfers are associated with the last candidate to receive the transfer\nfact ownership {\n\tall disj c,d: Candidate | all b: Ballot | b in c.transfers implies c in b.assignees and \n\t\t(d not in b.assignees or b.preferences.idxOf[d] < b.preferences.idxOf[c])\n}\n\n\/\/ Lowest candidate is eliminated first\nfact lowestElimination {\n\tall disj c,d: Candidate | c in Scenario.eliminated and d not in Scenario.eliminated implies\n\t\t#c.votes + #c.transfers <= #d.votes + #d.transfers\n}\n\n\/\/ All ties involve equality between at least one winner and at least one loser on either original votes or\n\/\/ on transfers plus original votes\nfact equalityOfTiedWinner {\n   all w: Candidate | some l: Candidate | w.outcome = TiedWinner and \n\t \t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies\n\t\t(#l.votes = #w.votes) or (#l.votes + #l.transfers = #w.votes + #w.transfers)\n}\n\nfact equalityOfTiedLosers {\n  all s: Candidate | some w: Candidate | w.outcome = TiedWinner and \n       (s.outcome = SoreLoser or s.outcome = TiedLoser or s.outcome = TiedEarlyLoser) implies\n       (#s.votes = #w.votes) or (#s.votes + #s.transfers = #w.votes + #w.transfers)\n}\n\n\/\/ Ranking of votes on ballots\nfact firstPreference {\n\tall v: Vote | some b: Ballot | v.ballot = b.identifier and\n\t\tv.ranking = 1 implies b.preferences.first.identifier = v.candidate\n}\n\nfact rankingOfVotes {\n   \tall v: Vote | some b: Ballot | some c: Candidate | Election.method = STV and\n\t\tv.ballot = b.identifier and v.candidate = c.identifier implies\n\t    c in b.preferences.elems and v.ranking = b.preferences.idxOf[c] + 1\n}\n\n-- Scenario Validity Axioms\n\/\/ When there is a tied sore loser then there are no non-sore losers\nfact typeOfTiedLoser {\n   no disj a,b: Candidate | a.outcome = TiedSoreLoser and \n        (b.outcome = TiedLoser or b.outcome = TiedEarlyLoser or \n         b.outcome=Loser or b.outcome=EarlyLoser)\n}\n\nfact tieBreaker {\n\tall w: Candidate | some l: Candidate | w.outcome = TiedWinner implies \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser)\n}\n\nfact validTieBreaker {\n\tall l: Candidate | some w: Candidate | \n    (l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome = TiedEarlyLoser) implies \n    w.outcome = TiedWinner\n}\n\n-- Axioms for the recording of vote fragments\nfact allVotesRecorded {\n   all b: Ballot | some v: Vote | v.ballot = b.identifier and v.ranking = #b.preferences\n}\n\n\/\/ All vote fragments are recorded for each ballot\nfact lowerRankings {\n   all v: Vote | some w: Vote | 1 < v.ranking implies w.ranking + 1 = v.ranking and\n\tv.ballot = w.ballot and not v.candidate = w.candidate\n}\n\n\/\/ Well formed ranking of candidates in ballots\nfact wellFormedRanking {\n\tno disj v,w: Vote | v.ballot = w.ballot and Election.method = STV \n\t\timplies v.candidate = w.candidate or v.ranking = w.ranking\n}\n\n\/\/ Compromise winner must have more votes than any tied winners\nfact compromiseNotTied {\n\tall disj c,t: Candidate | (c.outcome = CompromiseWinner and t.outcome = TiedWinner) implies\n\t\t#t.votes + #t.transfers < #c.votes + #t.transfers\n}\n\n\/\/ Equal losers are tied\nfact equalityofTiedWinnersAndLosers {\n\tall disj w,l: Candidate | w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers implies\n\t\t\tw.outcome = TiedWinner and \n\t\t\t(l.outcome = TiedLoser or l.outcome = TiedEarlyLoser or l.outcome = TiedSoreLoser)\n}\n\n\/\/ Highest winner has a quota\nfact highestWinner {\n   some c: Candidate | Election.method = STV implies \n\t\tScenario.quota <= #c.votes + #c.transfers\n}\n\n-- Basic Lemmas\nassert honestCount {\n\t  all c: Candidate | all b: Ballot | b in c.votes + c.transfers implies c in b.assignees\n}\ncheck honestCount for 15 but 6 int\n\nassert atLeastOneLoser {\n\t0 < #Scenario.losers\n}\ncheck atLeastOneLoser for 15 but 6 int\n\nassert atLeastOneWinner {\n\t0 < #Scenario.winners\n}\ncheck atLeastOneWinner for 14 but 6 int\n\nassert wellFormednessOfBallots {\n\tall b: Ballot | b.assignees in Election.candidates\n}\ncheck wellFormednessOfBallots for 18 but 6 int\n\nassert plurality {\n\tall c: Candidate | all b: Ballot | b in c.votes and \n\t\tElection.method = Plurality implies c in b.preferences.first\n}\ncheck plurality for 18 but 6 int\n\nassert wellFormedTieBreaker {\n\tsome w,l : Candidate | (w in Scenario.winners and l in Scenario.losers and \n\t\t#w.votes = #l.votes and #w.transfers = #l.transfers) implies \n\t\tw.outcome = TiedWinner and \n\t\t(l.outcome = TiedLoser or l.outcome = TiedSoreLoser or l.outcome=TiedEarlyLoser)\n}\ncheck wellFormedTieBreaker for 18 but 6 int\n\nassert validSurplus {\n\tall c: Candidate | 0 < #c.surplus implies (c.outcome = Winner or c.outcome = QuotaWinner or \n\t\tc in Scenario.eliminated)\n}\ncheck validSurplus for 16 but 6 int\n\nassert wellFormedVote {\n\tall v: Vote | 0 < v.ballot and 0 < v.candidate\n}\ncheck wellFormedVote for 4 but 6 int\n\n-- Advanced Lemmas\n\/\/ No lost votes during counting\nassert accounting {\n\tall b: Ballot | one c: Candidate | b in c.votes and c in b.assignees\n}\ncheck accounting for 16 but 6 int\n\n\/\/ Cannot have tie breaker with both tied sore loser and non-sore loser\nassert tiedWinnerLoserTiedSoreLoser {\n\tno disj c,w,l: Candidate | c.outcome = TiedSoreLoser and\n\t   w.outcome = TiedWinner and (l.outcome = Loser or l.outcome = TiedLoser)\n}\ncheck tiedWinnerLoserTiedSoreLoser for 6 int\n\n\/\/ Compromise winner must have at least one vote\nassert validCompromise {\n\tall c: Candidate | c.outcome = CompromiseWinner implies 0 < #c.votes + #c.transfers\n}\ncheck validCompromise for 6 int\n\n-- Sample scenarios\npred TwoCandidatePlurality { \n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 2\n}\nrun TwoCandidatePlurality for 10 but 1 Ballot, 6 int\n\npred PluralityTiedWinner {\n\tElection.method = Plurality\n\tElection.seats = 1\n\tsome disj a,b: Candidate | a.outcome = TiedWinner and b.outcome = TiedLoser\n}\nrun PluralityTiedWinner for 10 but 2 Ballot, 6 int\n\npred ThreeCandidatePlurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t#Election.candidates = 3\n}\nrun ThreeCandidatePlurality for 6 int\n\npred Plurality {\n\tElection.method = Plurality\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun Plurality for 5 but 6 int\n\npred TenCandidatePluralityWithTwoSeats {\n\tElection.method = Plurality\n\tElection.seats = 2\n\t#Election.candidates = 10\n}\nrun TenCandidatePluralityWithTwoSeats for 10 but 6 int\n\npred InstantRunoffVoting {\n\tElection.method = STV\n\tElection.seats = 1\n\t3 < #Election.candidates\n}\nrun InstantRunoffVoting for 10 but 6 int\n\npred STV3 {\n\tElection.method = STV\n\tElection.seats = 3\n}\nrun STV3 for 5 but 6 int\n\npred ThreeWinnersOneLoser {\n    Election.method = STV\n\tsome disj a,b,d: Candidate | a.outcome = Winner\n   \t  and b.outcome = QuotaWinner or b.outcome = CompromiseWinner\n\t  and d in Scenario.losers\n}\nrun ThreeWinnersOneLoser for 6 but 6 int\n\npred LoserAndEarlyLoser {\n\tone d: Candidate | d.outcome = Loser\n\tone e: Candidate | e.outcome = EarlyLoser\n}\nrun LoserAndEarlyLoser for 5 but 6 int\n\npred OneWinnerNineLosers {\n\t#Scenario.winners = 1\n\t#Scenario.losers = 9\n}\nrun OneWinnerNineLosers for 16 but 6 int\n\npred ThreeWayTie {\n\t#Election.candidates = 3\n    Election.method = Plurality\n\tsome disj a,b,c: Candidate | a.outcome = TiedWinner and \n\t\tb.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser\n}\nrun ThreeWayTie for 5 but 6 int\n\npred FiveWayTie {\n\tsome disj a,b,c,d,e: Candidate | a.outcome = TiedWinner and\n\t    b.outcome = TiedLoser and\n\t\tc.outcome = TiedLoser and d.outcome = TiedLoser and e.outcome = TiedWinner\n}\nrun FiveWayTie for 7 but 6 int\n\npred ScenarioLWW {\n\tsome disj a,b,c: Candidate | a in Scenario.losers and b.outcome = Winner and \n\t\tc in Scenario.winners\n    #Election.candidates = 3\n}\nrun ScenarioLWW for 6 but 7 int\n\npred LongBallot {\n\tsome b: Ballot | #b.preferences = 7\n}\nrun LongBallot for 7 but 6 int\n\npred MultipleBallotsUnderSTV {\n\tElection.method = STV\n\tsome a,b: Ballot | 0 < #a.preferences and 0 < #b.preferences\n}\nrun MultipleBallotsUnderSTV for 10 but 6 int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"55fc8892115d7880a4dcda82662491d6645b4c3f","subject":"add ableton set w\/ poet mode","message":"add ableton set w\/ poet mode\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano.als","new_file":"ableton\/yyn-piano.als","new_contents":"\u001f\b\u0000\u0000\u0000\u0000\u0000\u0000\u0003]\u06f6{)r\u05b9[|'>\u03f2;^\u0333f\/[uz$\u001d\u03e7?\u0000\u0017RD\nR8P\u0000\b\u001f0yu4_gj4\u074f]kh9y?y<-E\u001faxe8<=MlU|4\\a]\u0787\u046b:\u056fUw\u0017J $\u001aFq\u001fOw}_.vT\u001b|TOm>^nnJ\u001f?A_5\"a~CGj6\u001f\u001b<\u001f*!kL[\uadebd8yv=4G2>\r'6o^d W\/7xv8\u0019\u001d.2\/v\u000b\u001d2|\u0018Iw\u05d1u\t\u078f\u000fn?\r'~\u001eM&ongY\u0015\/Fd7l9cTqpmR8?\u001fm\u8f3c\u03de\u001eO=\u0001\u013b\u001b->\u0017\u000f\u001f\u001ft\u01ebRdx;-l\u00ef\u001b\u0555JtvSy>~\u0018-\r\u000fg\u0635j)jAMj\u0388s=\u001fgDuwwp<14|uxSTlT*:qQT{kA<o\u0472\u000b\u001f\u0017\u0316O\u01dff\u0007 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0\u0007!e=\b1U\u0018&7d|U26fv\u0004\"\u0002&4 #@=\"sr\u001ba\u0014?\"D1K,.uA{U`6^#Pck\u0010\u001d\u0004o\u0017oO\b\u0016O\"N\u0010q~'=$GM9C\u0013!N\u0288*Zy}\b\u001fAek\n:_WoJ^K\u0002wiO2 o\\j\u001b\u0013k8Q\bZ\u0002)Z\u0281spTk:sg>\/$lr\u07efx 1\u0014}(*R\u0005\u02f3%zZ\bB7\t5\u066eyr\u0014FBd\u06b3\/VW4;^b&*7y(k\u0006\r6aG6&\u001f7-oNS\u0135\u001ah\u001dFf^0iz\u001fd7_\u0005?]\u0012U#{.Wt\u001f\nKn7Fru|^\/_\u00fbS\f\\2Y\/o\u001f\/O\u0002\u0004Wh\u0000\u001f\u001c\u0017\\whLx\\;cV=\/8\"^\u001dX\u001f*N\u040f>\te4x\r}\u07c5.\u0001-?'\u001f'dZ?{*e\u001e\u0214d\u001e~yC\u001eQ\u001eBv]Pos\u0013'7-7)E\u04ec^\b\rdU<V{yon.L\u04e1O)\u0005N\u0007en\"{\u001e,\u0007I\u0012w\u0017\u67c1?\"\/\u0000c\u02c8Z_\u000e\u0530q\u0015<H4MY?$L\r.\u0001","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"a0ff2af78d7d10329f5d71efabfe8e721ef0a415","subject":"experimental results from benjamin","message":"experimental results from benjamin\n","repos":"johnwickerson\/memalloy,johnwickerson\/memalloy,johnwickerson\/memalloy","old_file":"mappings\/c11_tdrf.als","new_file":"mappings\/c11_tdrf.als","new_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\nopen ..\/models\/tsc[E] as N\n\nmodule c11_tdrf[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  not (N\/consistent[none->none,X])\n\n  \/\/ all transactions are atomic\n  no (X.stxn - X.atxn)\n\n  \/\/ avoid non-SC atomic operations\n  no (X.A - X.SC)\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 7 E \/\/ benjamin: no soln found in 4297s\n","old_contents":"open ..\/archs\/exec_C[E]\nopen ..\/models\/c11_txn[E] as M\nopen ..\/models\/tsc[E] as N\n\nmodule c11_tdrf[E]\n\npred p[X:Exec_C] {\n  withoutinit[X]\n\n  M\/consistent[none->none, X]\n  M\/racefree[none->none, X]\n\n  not (N\/consistent[none->none,X])\n\n  \/\/ all transactions are atomic\n  no (X.stxn - X.atxn)\n\n  \/\/ avoid non-SC atomic operations\n  no (X.A - X.SC)\n\n  X.EV = E\n}\n\nrun p for 1 Exec, 7 E \/\/ started on benjamin 1448 on fri 3 nov\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"a79d06c2d7b8dc1dfc073973e633ecc09632e57c","subject":"Add solutions from Wednesday's tutorials","message":"Add solutions from Wednesday's tutorials\n","repos":"jaanos\/LVR-2016,jaanos\/LVR-2016","old_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_file":"tutorials\/2017\/wednesday\/tutorial_questions.als","new_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsome sig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\nrun nontrivModel for 5\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\nfact { all q: State - Final | some q.successors }\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\nfact { State = Initial.*successors }\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\nfact { all q: Black | Initial in q.^successors }\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\nfact { all q: Yellow | some q': Final | q' in q.^successors }\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { all q: State | some q': Final | q' in q.*successors }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\ncheck finishable for 5\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n\nfact { no Black.^(successors :> (State - Initial)) & Final }\n\n\/\/ Additional property: no final state is the successor of an initial state\n\nfact { not Initial in successors.Final }\n","old_contents":"\/\/ This tutorial models a certain kind of state machine in Alloy\n\n\/\/ A state machine is a set of states.\n\/\/ Each state q has a successor relation. \n\/\/     q.successors is the set of possible next states following state q\n\nsig State { \n\tsuccessors: set State\n} \n\n\/\/ There is exactly one initial state\n\none sig Initial extends State { }\n\n\/\/ There is a set of final states\n\/\/ Each final state has an empty set of successors\n\nsig Final extends State { } { no successors }\n\n\/\/ The kind of state machine we are modelling has two other kinds of state: \n\/\/ yellow states and black states.\n\/\/ By using sig declarations in Alloy these sets are disjoint by default.\n\/\/ We add an axiom (a \"fact\") asserting that every state is initial, final, yellow or black\n\nsig Yellow extends State { } \nsig Black extends State { } \nfact { State = Initial + Final + Yellow + Black }\n\n\/\/ The 0-arity predicate nontrivModel below expresses that the model is \"nontrivial\" in the\n\/\/ sense that black, yellow and final states all exist.\n\npred nontrivModel { #Final > 0 && #Black > 0 && #Yellow > 0 }\n\n\/\/ Uncomment the run command below to check to see if the predicate can be satisfied in scope 1\n\/\/ run nontrivModel for 1\n\n\/\/ *** EXERCISE 1 ***\n\/\/ (a) Find the smallest  scope in which nontrivModel is satisfiable\n\/\/ (b) Look at the model generated by clicking on Instance\n\/\/\tTo improve the display of the model click on Theme\n\/\/\tClick on sig Black in the left-hand menu and colour Black states black\n\/\/\tSimilarly colour Yellow states yellow, the initial state green and final states red\n\/\/\tClick on successors and delete the label from the text box in the top left corner\n\/\/\tIf there is a funny $nontrivModel relation displayed click on that and set \"show as arcs\" to off\n\/\/\tClick on Apply and then Close\n\/\/ The model should now display nicely\n\/\/ (c)  Look at further models by clicking on Next\n\/\/\tAlso run nontrivModel again in larger scope (not too large) to generate larger models\n\n\/\/ *** EXERCISE 2 ***\n\/\/ Say that a state is deadlocked if it has no successors.\n\/\/ The sig declaration for Final requires final states to be deadlocked\n\/\/ Add an axiom stating that only Final states can deadlock\n\/\/ (You may find it useful to use a comprehension term { q: A | P }\n\/\/   which defines the subset of those q in set A that satisfy property P)\n\/\/ For a good reference on the logic of Alloy look at the slides for Session 1 of: \n\/\/    http:\/\/alloy.mit.edu\/alloy\/tutorials\/day-course\/\n\n\/\/ After this, and all subsequent exercises involving the addition of new facts run nontrivModel\n\/\/ in suitable scope and use the Next button to again explore the range of models available\n\n\/\/ *** EXERCISE 3 ***\n\/\/ Add an axiom stating that every state is reachable from the initial state\n\n\/\/ *** EXERCISE 4 ***\n\/\/ Black nodes are intended to represent error states. \n\/\/ When an execution reaches a black node it has to be corrected by eventually\n\/\/ resetting the system by returning it to the Initial node.\n\/\/ Add an axiom stating that the initial node is reachable from every black node\n\n\/\/*** EXERCISE 5 ***\n\/\/ Yellow states are intended to represent non-error intermediate states that \n\/\/ may be encountered en-route to arriving at a final state\n\/\/ Add an axiom stating that every yellow state has a path to a final state\n\n\/\/ *** EXERCISE 6 ***\n\/\/ In this exercise we use the \"assert\" command to state a property that we\n\/\/ hope follows from the axioms.\n\/\/ The property is that every state has a path to a final state\n\/\/ complete the assert command below by filling in the property\n\/\/ between the curly braces.\n\nassert  finishable { }\n\n\/\/ Uncomment and modify the check command below to check finishable in a sufficiently large scope to\n\/\/ be confident whether or not the property is true.\n\n\/\/ check finishable for 1\n\n\/\/ If the property is not true then can you fix the model to make it true?\n\n\/\/ *** EXERCISE 7 ***\n\/\/ There is one further property we want to axiomatize.\n\/\/ We want to force the system to reset after a Black state.\n\/\/ This can be achieved by requiring that \n\/\/ every path to a final state from a black state goes through the initial state.\n\/\/ Add this as an axiom.\n\/\/ (Hint, you might need to use set operators to define a derived relation.)\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"ccedfcb547d48f97f50301ef72e28d7def6014a7","subject":"remove blackHeadIn*","message":"remove blackHeadIn*\n","repos":"nishio\/learning_alloy,nishio\/learning_alloy,nishio\/learning_alloy","old_file":"illust_logic\/illustLogic.als","new_file":"illust_logic\/illustLogic.als","new_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\n\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | is_black_head[c, r, cols\/prev]}\n}\n\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | is_black_head[c, r, rows\/prev]}\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row {\n\t\tc not in headsInRow[r] and is_black_head[c, r, cols\/prev]\n\t}\n}\nfact noOtherHeadsInCol {\n  no c: Col, r: Row {\n\t\tr not in headsInCol[c] and is_black_head[c, r, rows\/prev]\n\t}\n}\n\n-- about rows or cols\n\n\n\n\n\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n\n\n-- about cols\n\n\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","old_contents":"open util\/ordering[Col] as cols\nopen util\/ordering[Row] as rows\n\nabstract sig Region {\n\tindex: Int\n}\nsig Col extends Region {\n  cell: Row -> Color\n}{\n\tindex >= 0\n\tindex <= 9\n}\nsig Row extends Region {}{\n\tindex >= 0\n\tindex <= 9\n}\n\nfact {\n\tall r: Col - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n\tall r: Row - last {\n\t\tadd[r.index, 1] = r.next.index\n\t}\n}\n\nenum Color { Black, White }\n\nfact {\n  all c: Col, r: Row | one cell [c, r]\n}\n\n-- both Row and Col\npred prev_is_white(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: prev\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067in White\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tcell[prev[c], r] + cell[c, prev[r]] in White\n}\n\npred no_prev(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u30c8\u30ea\u30c3\u30af: next\u304cCol->Col\u3067\u3082Row\u306b\u4f7f\u3063\u3066\u3088\u3044\n\t\/\/ \u306a\u305c\u306a\u3089\u7a7a\u96c6\u5408\u304c\u8fd4\u308b\u306e\u3067no\u304c\u6210\u7acb\u3059\u308b\u304b\u3089\n\tno prev[c] and no prev[r]\n}\n\n\/\/ c, r\u304c\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u3067\u3042\u308b\u304b\u3069\u3046\u304b\npred is_black_head(c: Col, r: Row, prev: Region->Region) {\n\t\/\/ \u6700\u521d\u306eRow\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u524d\u306eRow\u306e\u30bb\u30eb\u304c\u767d\u3044\n  no_prev[c, r, prev] or prev_is_white[c, r, prev]\n\t\/\/ \u3053\u306e\u30bb\u30eb\u306f\u9ed2\u3044\n  cell[c, r] in Black\n}\nfun range(start, end: Region, next: Region -> Region): Region{\n\tstart.*next - end.^next\n}\n\nfun get_block_end(start: Region, size: Int): Region{\t\n\tplus[start.index, minus[size, 1]][index]\n}\n\n-- about rows\n\nfun headsInRow (r: Row): set Col {\n  { c: Col | blackHeadInRow[c, r] }\n}\n\nfact noOtherHeadsInRow {\n  no c: Col, r: Row | c not in headsInRow[r] and blackHeadInRow[c, r]\n}\n\npred headsSeqInRow (r: Row, s: seq Col) {\n  s.elems = headsInRow[r]\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Row (i: Int): Row {\n\tindex.i & Row\n}\n\npred rowHint (j: Int, sizes: seq Int) {\n  let r = Int2Row[j] | some cs: seq Col {\n    #sizes = #cs\n    \/\/ cs\u306f\u9ed2\u30d6\u30ed\u30c3\u30af\u306e\u5148\u982d\u306e\u4f4d\u7f6e\u306e\u30bd\u30fc\u30c8\u3055\u308c\u305f\u30b7\u30fc\u30af\u30a8\u30f3\u30b9\n    headsSeqInRow [r, cs]\n    all i: sizes.inds {\n      \/\/ cs[i]\u3092start, start\u306e\u4f4d\u7f6e\u306bsize[i]\u3092\u8db3\u3057\u30661\u3092\u5f15\u3044\u305f\u4f4d\u7f6e\u306b\u3042\u308bCol\u3092end\u3068\u547c\u3076\n      let start = cs [i], end = Col & get_block_end[start, sizes[i]] {\n\n        \/\/ end\u304c\u5b58\u5728\u3059\u308b\n        some end\n        \/\/ start\u304b\u3089end\u307e\u3067\u5168\u90e8\u9ed2\n        all c: range[start, end, cols\/next] | cell [c, r] in Black\n        \/\/ end\u306e\u6b21\u304c\u306a\u3044\u304b\u3001\u307e\u305f\u306f\u767d\n        no end.next or cell [end.next, r] in White\n      }\n    }\n  }\n}\n\n\npred blackHeadInCol (c: Col, r: Row) {\n\tis_black_head[c, r, rows\/prev]\n}\npred blackHeadInRow (c: Col, r: Row) {\n\tis_black_head[c, r, cols\/prev]\n}\n\n-- about cols\n\/\/ Col c\u306e\u4e2d\u306e\u3001\u30d6\u30ed\u30c3\u30af\u306e\u982d\u3067\u3042\u308bRow\u306e\u96c6\u5408\nfun headsInCol (c: Col): set Row {\n  { r: Row | blackHeadInCol[c, r] }\n}\n\nfact noOtherHeadsInCol {\n  no c: Col, r: Row | r not in headsInCol[c] and blackHeadInCol[c, r]\n}\n\npred headsSeqInCol (c: Col, s: seq Row) {\n\t\/\/ s\u306e\u8981\u7d20\u306f\u30d6\u30ed\u30c3\u30af\u5148\u982d\u306e\u96c6\u5408\u3068\u540c\u4e00\n  s.elems = headsInCol[c]\n\t\/\/ s\u306f\u5358\u8abf\u5897\u52a0\n  all i: s.butlast.inds | lt [s[i], s[plus[i, 1]]]\n}\n\nfun Int2Col (i: Int): Col {\n\tindex.i & Col\n}\n\n\npred colHint (j: Int, sizes: seq Int) {\n  let c = Int2Col[j] | some rs: seq Row {\n    #sizes = #rs\n    headsSeqInCol [c, rs]\n    all i: sizes.inds {\n      let start = rs [i], end = Row & get_block_end[start, sizes[i]] {\n      \tsome end\n      \tall r: range[start, end, rows\/next] | cell [c, r] in Black\n      \tno end.next or cell [c, end.next] in White\n    \t}\n\t\t}\n  }\n}\n-- riddle from http:\/\/homepage1.nifty.com\/sabo10\/rulelog\/illust.html\nsolve: run {\n  rowHint [0, 0 -> 3]\n  rowHint [1, 0 -> 2 + 1 -> 2]\n  rowHint [2, 0 -> 1 + 1 -> 1 + 2 -> 1]\n  rowHint [3, 0 -> 3 + 1 -> 3]\n  rowHint [4, 0 -> 5]\n  rowHint [5, 0 -> 7]\n  rowHint [6, 0 -> 7]\n  rowHint [7, 0 -> 7]\n  rowHint [8, 0 -> 7]\n  rowHint [9, 0 -> 5]\n\n  colHint [0, 0 -> 4]\n  colHint [1, 0 -> 6]\n  colHint [2, 0 -> 7]\n  colHint [3, 0 -> 9]\n  colHint [4, 0 -> 2 + 1 -> 7]\n  colHint [5, 0 -> 1 + 1 -> 6]\n  colHint [6, 0 -> 2 + 1 -> 4]\n  colHint [7, 0 -> 3]\n  colHint [8, 0 -> 1]\n  colHint [9, 0 -> 2]\n} for 10 but 5 Int\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"1e8a5a7249fcbd3c633a7f635108cc5200f54730","subject":"tidied up template","message":"tidied up template\n","repos":"septract\/stellite-tool","old_file":"alloy\/checkTemplate.als","new_file":"alloy\/checkTemplate.als","new_contents":"\n\/****************************************************\/ \n\/* Inclusion checking code.                         *\/ \n\/* Template: .\/alloy\/checkTemplate.als              *\/ \n\/****************************************************\/ \n\npred histIncl() { \n  all dom, dom' : set Action, \n      kind, kind' : Action -> Kind,\n      gloc, gloc' : Action -> Glob,\n      lloc1, lloc1' : Intern -> Thr, \n      lloc2, lloc2' : Intern -> Thr, \n      callmap, retmap : Thr -> Val, \n      wv, rv : Action -> Val, \n      sb, sb' : Action -> Action,\n      hb, mo, rf, guar, deny : Action -> Action\n    when { \n      \/\/ Optimisation definition \n      optPred[dom, dom', kind, kind', gloc, gloc', lloc1, lloc1', lloc2, lloc2', ^sb, ^sb'] \n\n      \/\/ Enforce validity for LHS\n      valid[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Interfaces are the same\n      Extern & dom = Extern & dom' \n      Extern <: gloc = Extern <: gloc' \n      Extern <: kind = Extern <: kind' \n   \n      \/\/ Nonatomics disabled \n      \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\n      guar = getguar[dom, ^hb] \n      deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n \n      \/\/ Cut irrelevant executions. \n      cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n      cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n      cutF[dom, kind, ^hb, ^sb, ^mo, rf] \n\n      \/\/ Sanity conditions \n      Action = dom + dom' \n\n      \/\/ Make the relations nicer to display \n      is_core[hb] \n      is_core[sb] \n      is_core[sb'] \n  } | \n  some wv', rv' : Action -> Val, \n       hb', mo', rf' : dom' -> dom' | { \n    (Extern <: wv) = (Extern <: wv') \n    (Extern <: rv) = (Extern <: rv') \n\n    \/\/ Enforce validity for RHS \n    valid[dom', kind', gloc', lloc1', lloc2', callmap, retmap, wv', rv', ^hb', ^sb', ^mo', rf']\n\n    \/\/ Nonatomics disabled \n    \/\/DRF[dom', kind', loc', wv', rv', ^hb', sb', mo', rf']\n \n    \/\/ Histories are related\n    getguar[dom', ^hb'] in guar \n    getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n  }\n} \n\n\n\/****************************************************\/ \n\/* Debugging code.                                  *\/  \n\/* Generate LHS \/ RHS of the inclusion.             *\/ \n\/****************************************************\/ \n\npred histInclRun() { \n  some dom, dom' : set Action, \n      kind, kind' : Action -> Kind,\n      gloc, gloc' : Action -> Glob,\n      lloc1, lloc1' : Intern -> Thr, \n      lloc2, lloc2' : Intern -> Thr, \n      callmap, retmap : Thr -> Val, \n      wv, rv : Action -> Val, \n      sb, sb' : Action -> Action,\n      hb, mo, rf, guar, deny : Action -> Action, \n      wv', rv' : Action -> Val, \n      hb', mo', rf' : dom' -> dom' | { \n\n    \/\/ Optimisation definition \n    optPred[dom, dom', kind, kind', gloc, gloc', lloc1, lloc1', lloc2, lloc2', ^sb, ^sb'] \n\n    \/\/ Enforce validity for LHS\n    valid[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\n    \/\/ Interfaces are the same\n    Extern & dom = Extern & dom' \n    Extern <: gloc = Extern <: gloc' \n    Extern <: kind = Extern <: kind' \n   \n    \/\/ Nonatomics disabled \n    \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\n    guar = getguar[dom, ^hb] \n    deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n \n    \/\/ Cut irrelevant executions. \n    cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n    cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n    cutF[dom, kind, ^hb, ^sb, ^mo, rf] \n\n    \/\/ Sanity conditions \n    Action = dom + dom' \n\n    \/\/ Make the relations nicer to display \n    is_core[hb] \n    is_core[sb] \n    is_core[sb'] \n\n    (Extern <: wv) = (Extern <: wv') \n    (Extern <: rv) = (Extern <: rv') \n\n    \/\/ Enforce validity for RHS \n    valid[dom', kind', gloc', lloc1', lloc2', callmap, retmap, wv', rv', ^hb', ^sb', ^mo', rf']\n\n    \/\/ Nonatomics disabled \n    \/\/DRF[dom', kind', loc', wv', rv', ^hb', sb', mo', rf']\n \n    \/\/ Histories are related\n    getguar[dom', ^hb'] in guar \n    getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n    \n  }\n} \n\n\/\/ pred histInclRunLHS() { \n\/\/   some dom : set Action, \n\/\/        kind : Action -> Kind,\n\/\/        gloc, lloc1, lloc2 : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action | { \n\/\/       \/\/ Optimisation definition \n\/\/       some x: Glob, l : Thr | { \n\/\/       optLHS[dom - Extern, kind, gloc, lloc1, lloc2, ^sb, x, l] \n\/\/       preexecWF[dom, kind, gloc, lloc1, lloc2, sb]  \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom \n\/\/       Loc = dom.(lloc1 + lloc2 + gloc) \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/     } \n\/\/   }\n\/\/ } \n\/\/ \n\n\/\/run { histInclRun } for 4\n\/\/run { histInclRunLHS } for 6 but exactly 1 Call, 1 Ret\n\n\n","old_contents":"\n\/****************************************************\/ \n\/* Inclusion checking code.                         *\/ \n\/* Template: .\/alloy\/checkTemplate.als              *\/ \n\/****************************************************\/ \n\npred histIncl() { \n  all dom, dom' : set Action, \n      kind, kind' : Action -> Kind,\n      gloc, gloc' : Action -> Glob,\n      lloc1, lloc1' : Intern -> Thr, \n      lloc2, lloc2' : Intern -> Thr, \n      callmap, retmap : Thr -> Val, \n      wv, rv : Action -> Val, \n      sb, sb' : Action -> Action,\n      hb, mo, rf, guar, deny : Action -> Action\n    when { \n      \/\/ Optimisation definition \n      optPred[dom, dom', kind, kind', gloc, gloc', lloc1, lloc1', lloc2, lloc2', ^sb, ^sb'] \n\n      \/\/ Enforce validity for LHS\n      valid[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\n      \/\/ Interfaces are the same\n      Extern & dom = Extern & dom' \n      Extern <: gloc = Extern <: gloc' \n      Extern <: kind = Extern <: kind' \n   \n      \/\/ Nonatomics disabled \n      \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\n      guar = getguar[dom, ^hb] \n      deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n \n      \/\/ Cut irrelevant executions. \n      cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n      cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, ^mo, rf] \n      cutF[dom, kind, ^hb, ^sb, ^mo, rf] \n\n      \/\/ Sanity conditions \n      Action = dom + dom' \n\n      \/\/ Make the relations nicer to display \n      is_core[hb] \n      is_core[sb] \n      is_core[sb'] \n  } | \n  some wv', rv' : Action -> Val, \n       mo', rf', hb' : dom' -> dom' | { \n   \/\/ TODO: fix this for non-atomics \n   \/\/let \/\/sc' = mo' & (kind.FenceSC -> kind.FenceSC),  \n   \/\/    \/\/hb' = ^(sb' + rf' + sc'), \n   \/\/    wv' = wvi + (Extern <: wv), \n   \/\/    rv' = rvi + (Extern <: rv) | \n  { \n      (Extern <: wv) = (Extern <: wv') \n      (Extern <: rv) = (Extern <: rv') \n\n      \/\/ Enforce validity for RHS \n      valid[dom', kind', gloc', lloc1', lloc2', callmap, retmap, wv', rv', ^hb', ^sb', ^mo', rf']\n\n      \/\/ Atomics disabled \n      \/\/DRF[dom', kind', loc', wv', rv', ^hb', sb', mo', rf']\n \n      \/\/ Histories are related\n      getguar[dom', ^hb'] in guar \n      getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n    } \n  }\n} \n\n\/\/ check { histIncl } for 7\n\n\n\/****************************************************\/ \n\/* Debugging code.                                  *\/  \n\/* Generate LHS \/ RHS of the inclusion.             *\/ \n\/****************************************************\/ \n\n\/\/ pred histInclRun() { \n\/\/   some dom, dom' : set Action, kind, kind' : Action -> Kind,\n\/\/        gloc, gloc', lloc, lloc' : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb, sb' : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action,\n\/\/        wvi, rvi : Intern -> Val, \n\/\/        mo', rf' : Action -> Action | { \n\/\/    let hb' = ^(sb' + rf'), \n\/\/        wv' = wvi + (Extern <: wv), \n\/\/        rv' = rvi + (Extern <: rv) | { \n\/\/       \/\/ Optimisation definition \n\/\/       optPred[dom, dom', kind, kind', gloc, gloc', lloc, lloc', ^sb, ^sb'] \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom + dom' \n\/\/       Loc = dom.(lloc + gloc) + dom'.(lloc' + gloc') \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/       is_core[sb'] \n\/\/ \n\/\/       \/\/ one Call & (dom + dom') \n\/\/       \/\/ one Ret & (dom + dom') \n\/\/       \n\/\/       \/\/ \/\/ Pre-execution structure\n\/\/       \/\/ preexecWF[dom, kind, gloc, lloc, sb] \n\/\/       \/\/ preexecWF[dom', kind', gloc', lloc', ^sb'] \n\/\/ \n\/\/       Extern & dom = Extern & dom' \n\/\/       Extern <: gloc = Extern <: gloc' \n\/\/       Extern <: kind = Extern <: kind' \n\/\/       valid[dom', kind', gloc', lloc', callmap, retmap, wv', rv', ^hb', ^sb', mo', rf']\n\/\/ \n\/\/       \/\/ Atomics disabled \n\/\/       \/\/DRF[dom', kind', loc', wv', rv', ^hb', ^sb', mo', rf']\n\/\/  \n\/\/       getguar[dom', ^hb'] in guar \n\/\/       getdeny[dom', kind', gloc', wv', rv', ^hb', ^sb', mo', rf'] in deny \n\/\/     } \n\/\/   }\n\/\/ } \n\n\/\/ pred histInclRunLHS() { \n\/\/   some dom : set Action, \n\/\/        kind : Action -> Kind,\n\/\/        gloc, lloc1, lloc2 : Action -> Loc, \n\/\/        callmap, retmap : Thr -> Val, \n\/\/        wv, rv : Action -> Val, \n\/\/        sb : Action -> Action,\n\/\/        hb, mo, rf, guar, deny : Action -> Action | { \n\/\/       \/\/ Optimisation definition \n\/\/       some x: Glob, l : Thr | { \n\/\/       optLHS[dom - Extern, kind, gloc, lloc1, lloc2, ^sb, x, l] \n\/\/       preexecWF[dom, kind, gloc, lloc1, lloc2, sb]  \n\/\/ \n\/\/       valid[dom, kind, gloc, lloc1, lloc2, callmap, retmap, wv, rv, ^hb, ^sb, mo, rf] \n\/\/      \n\/\/       \/\/ Nonatomics disabled \n\/\/       \/\/ DRF[dom, kind, loc, wv, rv, ^hb, ^sb, mo, rf]\n\/\/ \n\/\/       guar = getguar[dom, ^hb] \n\/\/       deny = getdeny[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/  \n\/\/       \/\/ Cut irrelevant executions. \n\/\/       cutR[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/       cutW[dom, kind, gloc, wv, rv, ^hb, ^sb, mo, rf] \n\/\/ \n\/\/       \/\/ Sanity conditions \n\/\/       Action = dom \n\/\/       Loc = dom.(lloc1 + lloc2 + gloc) \n\/\/ \n\/\/       \/\/ Make the relations nicer to display \n\/\/       is_core[hb] \n\/\/       is_core[sb] \n\/\/     } \n\/\/   }\n\/\/ } \n\/\/ \n\n\/\/run { histInclRun } for 4\n\/\/run { histInclRunLHS } for 6 but exactly 1 Call, 1 Ret\n\n\n","returncode":0,"stderr":"","license":"mit","lang":"Alloy"}
{"commit":"05e12f4a358fa2c9d1ccc8973cceff7d05e7a837","subject":"multiple drum tracks, one less constrained","message":"multiple drum tracks, one less constrained\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"9c0043b68781d526d550b86c02fa670c54aec37e","subject":"Rename a fact","message":"Rename a fact\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"da260431c131f3b1dfbc505586e0a85e52617bfc","subject":"Add nodes","message":"Add nodes\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"69abb065cb9228099d75a87c4667004957604d4d","subject":"brass section for stomp notes in piano mode","message":"brass section for stomp notes in piano mode\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"fb4aaebd7007a4f00975c8c1dd5538e8d146dfbe","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"6b180a89150ec1bc7d1a71fa19ced453d2f91caf","subject":"First pass of deep house track","message":"First pass of deep house track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"b4292d00a41c595b66a12d66752cdf62239ae33c","subject":"Added 9 channels","message":"Added 9 channels\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"6013f6bef948ba9c18420dab3b535a8cd0942b10","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"9c203e2a7199f66e31d740e530698d478321bbb4","subject":"Finalised song","message":"Finalised song\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"f111d91451495eb21ef6906c41d7955fe660fbd5","subject":"Updated test project","message":"Updated test project\n","repos":"ahollenbach\/GesturalMusic,ahollenbach\/GesturalMusic","old_file":"Other\/test Project\/test.als","new_file":"Other\/test Project\/test.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Other\/test' did not match any file(s) known to git\nerror: pathspec 'Project\/test.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"37a7376085685e17e1f6b125b699c8f47780c92b","subject":"DB\u306e\u8a2d\u8a08\u3092Alloy\u3067\u691c\u8a3c\u3057\u305f refs #219","message":"DB\u306e\u8a2d\u8a08\u3092Alloy\u3067\u691c\u8a3c\u3057\u305f refs #219\n","repos":"codefirst\/AsakusaSatellite,mallowlabs\/AsakusaSatellite,codefirst\/AsakusaSatellite,codefirst\/AsakusaSatellite,mallowlabs\/AsakusaSatellite,mallowlabs\/AsakusaSatellite,codefirst\/AsakusaSatellite","old_file":"verification\/db.als","new_file":"verification\/db.als","new_contents":"sig Room {\n owener : User\n}\nsig User {}\nsig Message {\n user : User, \n belong : Room\n}\n\nsig Member {\n room : Room,\n user : User\n}\n\nfact {\n all disj a, b : Member | (no a.room & b.room) or (no a.user & b.user)\n}\n\npred show () {}\nrun show for 5 but \n  exactly 2 Room,\n  exactly 3 User,\n  exactly 4 Message\n","old_contents":"","returncode":1,"stderr":"error: pathspec 'verification\/db.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"a412873772ca3a49419dd47ea290fb0553528e08","subject":"view_src and view can point to the same thing, weird","message":"view_src and view can point to the same thing, weird\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"1b2919a22ce604de31e489ba8a8b41f3f538e42c","subject":"more music work","message":"more music work\n","repos":"troystribling\/seeker1,troystribling\/seeker1","old_file":"Music\/tharsis Project\/tharsis.als","new_file":"Music\/tharsis Project\/tharsis.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Music\/tharsis' did not match any file(s) known to git\nerror: pathspec 'Project\/tharsis.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"18f9f6b8a121ba4ace543c66f66c2907de47a22e","subject":"Update live set","message":"Update live set\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"803391d29c47a809cbfee7f159024445cc0e83f9","subject":"Final set","message":"Final set\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"0b7313e36f5648acc09799554922edd27d5b887f","subject":"minor changes","message":"minor changes\n","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Alloy\/Improved Feature Model\/Model_3\/feature_model_3.als","new_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Alloy\/Improved Feature Model\/Model_3\/feature_model_3.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'eu.modelwriter.demonstration.alloyinecore\/harun\/Alloy\/Improved' did not match any file(s) known to git\nerror: pathspec 'Feature' did not match any file(s) known to git\nerror: pathspec 'Model\/Model_3\/feature_model_3.als' did not match any file(s) known to git\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"579a67e1f0aa9b3345b60e71e715d734a608f3dd","subject":"Finished track","message":"Finished track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"3a811d821a6fb1dad9ee3f6c6efa5724a77de67b","subject":"more work on boot track","message":"more work on boot track\n","repos":"troystribling\/seeker1,troystribling\/seeker1","old_file":"Music\/boot Project\/boot.als","new_file":"Music\/boot Project\/boot.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Music\/boot' did not match any file(s) known to git\nerror: pathspec 'Project\/boot.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"6ce0fb1c688c666040453f94adc7a52403b81323","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":128,"stderr":"fatal: unable to access 'https:\/\/github.com\/struct78\/fault-trace.git\/': The requested URL returned error: 403\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"287b9b5553a46abec482f0ccdb4c16a52497046f","subject":"Updated test file for filters","message":"Updated test file for filters\n","repos":"ahollenbach\/GesturalMusic,ahollenbach\/GesturalMusic","old_file":"Other\/test Project\/test.als","new_file":"Other\/test Project\/test.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Other\/test' did not match any file(s) known to git\nerror: pathspec 'Project\/test.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"976e25a74daba3414adde022168a57dd95326be7","subject":"Introduced slash condition 1","message":"Introduced slash condition 1\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"a4e0b509ddf0bcbf4cfc512a11f9cb6315d89694","subject":"Reflect the fix in the protocol","message":"Reflect the fix in the protocol\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"799df753792e1ca05f96346cf8ce5e393dfeec80","subject":"Minor modifications on Feature Model modulo Requirements Theory","message":"Minor modifications on Feature Model modulo Requirements Theory\n","repos":"ModelWriter\/Demonstrations,ModelWriter\/Demonstrations,ModelWriter\/Demonstrations","old_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Alloy\/Improved Feature Model\/Model_3\/feature_model_3.als","new_file":"eu.modelwriter.demonstration.alloyinecore\/harun\/Alloy\/Improved Feature Model\/Model_3\/feature_model_3.als","new_contents":"","old_contents":"","returncode":128,"stderr":"fatal: unable to access 'https:\/\/github.com\/ModelWriter\/Demonstrations.git\/': The requested URL returned error: 403\n","license":"epl-1.0","lang":"Alloy"}
{"commit":"dc3f68b06caffee524f15d3740ed0ce7b16dcfad","subject":"Started modelling the votes consensus","message":"Started modelling the votes consensus\n\nhttp:\/\/ethereumresearch.trydiscourse.com\/t\/casper-ffg-with-one-message-type-and-simpler-fork-choice-rule\/103\n","repos":"pirapira\/pos","old_file":"votes.als","new_file":"votes.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"8f8ebb079c1f5f2d02339b84a00a63fc497a78c3","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"ebb24b67c45565e691f072e5656c19e4e1833693","subject":"Formulating slashing condition [ii]","message":"Formulating slashing condition [ii]\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"4a2a7cf3c5a4c746cb6170103fc7ea227a6a2857","subject":"If the sender of the commit message is slashed, prepare is not necessary","message":"If the sender of the commit message is slashed, prepare is not necessary\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"fd3537fab614d25ccf1d5ceb9db7ec42200863c6","subject":"Made track more bassy","message":"Made track more bassy\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"9318190c886f2307957d85b68feafe940b1e4d1c","subject":"Adjusted limiter value","message":"Adjusted limiter value\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"b3862acafae250229a9da71d0a21f9b11ca2c4ab","subject":"Make the slashing condition exact","message":"Make the slashing condition exact\n\nFixes #1\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"26fcc0ad5b8e95ec4e6011ba07077cd8f40ca242","subject":"Test file works!","message":"Test file works!\n\n3 instruments, all with individual loopers\n","repos":"ahollenbach\/GesturalMusic,ahollenbach\/GesturalMusic","old_file":"Other\/test Project\/test.als","new_file":"Other\/test Project\/test.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Other\/test' did not match any file(s) known to git\nerror: pathspec 'Project\/test.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"55c844862e70bf31a087f2a5f2203641a7e611f2","subject":"\"final\" mix for day 1","message":"\"final\" mix for day 1\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"2a9d3a6ec31526b4ac269ba7321167854ef9752b","subject":"Added more instruments","message":"Added more instruments\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"3cc66ec53122476f28ca1eca2956c092bf6629a0","subject":"Finalised March track","message":"Finalised March track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"d8ad226548405b97ea0dcbe1ee31dbd1e4ccee52","subject":"There can be only one geneis","message":"There can be only one geneis\n","repos":"pirapira\/pos","old_file":"votes.als","new_file":"votes.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"1436c22370b80e778394d2225e5cbdee53f1987d","subject":"Updated Ableton project","message":"Updated Ableton project\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"4b1dde6e3c1cac0481aa39458322ecc9d3e6c1e9","subject":"Updated Ableton Live Set","message":"Updated Ableton Live Set\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"4f8893706146753010558500c87c5bc18b897c23","subject":"Finalised track","message":"Finalised track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"b80be6fa537fa20fa402f336bc212aa7750e49a3","subject":"Slashing condition iv can be weakened a bit","message":"Slashing condition iv can be weakened a bit\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"b14f02a02c117ba5464487b56c7a9187ccd59606","subject":"sound mix on on-site speakers","message":"sound mix on on-site speakers\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"8a1c54be5a7b1aa2ad9f3cb6851f59721bdaf49e","subject":"Modelled double vote","message":"Modelled double vote\n","repos":"pirapira\/pos","old_file":"votes.als","new_file":"votes.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"9d3b0b42cdfa06c8bb6f1291c47b4d0bd665b3f1","subject":"Updated song","message":"Updated song\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"0325b736c291dc7043e25ba5a80bf6caa1066ec1","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"8cd0f9d9a23cf0d53c266248356827f7049ec65c","subject":"Upgraded to Ableton 9","message":"Upgraded to Ableton 9\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"1ce1240fac89b49dfaf0368d5601e751fce1a70d","subject":"scene","message":"scene\n","repos":"charlieroberts\/gibberwocky,charlieroberts\/gibberwocky,charlieroberts\/gibber.max,charlieroberts\/gibberwocky,charlieroberts\/gibber.max,charlieroberts\/gibber.max","old_file":"jibberwocky Project\/jibberwocky.als","new_file":"jibberwocky Project\/jibberwocky.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'jibberwocky' did not match any file(s) known to git\nerror: pathspec 'Project\/jibberwocky.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"f7fea2cc2f08bf0b829df87a04643d2f7210c29b","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"58e083dcdbc122efd1b9d704f3f9294cd71467ef","subject":"Now, cannot be own prev","message":"Now, cannot be own prev\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"329a58e43aba8b802d2026c9482529c9c778bc65","subject":"Classify nodes into sane nodes and slashed nodes","message":"Classify nodes into sane nodes and slashed nodes\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"db434a51f2211cbdda27bb1505a729c5ecad762b","subject":"Fix the Alloy conditions to reflect the accountable safety","message":"Fix the Alloy conditions to reflect the accountable safety\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"f477c3d54b6fcd5d1c9571c40d7eb0cef625a179","subject":"Seeing another issue.  [ii], has different ancestors","message":"Seeing another issue.  [ii], has different ancestors\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"246670b5058fbda697777d36af76d14ac5750ccb","subject":"sound tweaks from second day","message":"sound tweaks from second day\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"7ec37c834b9bae616a39c3fbfaf4d3e4ea3a87a1","subject":"midi control of vocoder on drums","message":"midi control of vocoder on drums\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"4c7dfd551b9dacec9497928eb0b68b01c0d1efdf","subject":"- Added initial attempt at modeling Brehon Contract in alloy","message":"- Added initial attempt at modeling Brehon Contract in alloy\n","repos":"prashantpawar\/DisputeResolution,prashantpawar\/DisputeResolution","old_file":"formal proofs\/brehon.als","new_file":"formal proofs\/brehon.als","new_contents":"","old_contents":"","returncode":128,"stderr":"fatal: unable to access 'https:\/\/github.com\/prashantpawar\/DisputeResolution.git\/': The requested URL returned error: 403\n","license":"mit","lang":"Alloy"}
{"commit":"c6ca0356c56f4ae52238379215bc92035ca40627","subject":"Adidionado especificacao Alloy - WIP","message":"Adidionado especificacao Alloy - WIP\n","repos":"monkshorin\/projeto-es,monkshorin\/projeto-es","old_file":"caroneiros.als","new_file":"caroneiros.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/monkshorin\/projeto-es.git\/'\n","license":"mit","lang":"Alloy"}
{"commit":"869467fd9805fc07e70885a8976ad92910998d66","subject":"updating spec","message":"updating spec\n","repos":"monkshorin\/projeto-es,monkshorin\/projeto-es","old_file":"caroneiros.als","new_file":"caroneiros.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/monkshorin\/projeto-es.git\/'\n","license":"mit","lang":"Alloy"}
{"commit":"42e133cd26ee429e8c7b9c4b5b4dfd48f5c1e441","subject":"This is how to force prepare, now I see v_prev pointing to itself","message":"This is how to force prepare, now I see v_prev pointing to itself\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"285d39145d9d2517a9cc969a89dd8afab748e098","subject":"Request that h_prev and v_prev are consistent","message":"Request that h_prev and v_prev are consistent\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"017e2065330701a58f81ba0f41262622aa37d7d1","subject":"modifications to ableton","message":"modifications to ableton\n","repos":"ofZach\/piano","old_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_file":"ableton\/yyn-piano Project\/yyn-piano.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/yyn-piano' did not match any file(s) known to git\nerror: pathspec 'Project\/yyn-piano.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"5e175f7c139c1199e7ed0012546bebce0dfe5ea1","subject":"First working Alloy model","message":"First working Alloy model\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"983753be6a11faadfa4dbd5f5a34bf6df61a8e6b","subject":"Pair of Hash and View should be a signature","message":"Pair of Hash and View should be a signature\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"e59bbf30fc83f3902633a294baf612f046b96e6d","subject":"Made view_pred acyclic","message":"Made view_pred acyclic\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"bf81a7261c23c6a9d33d7f17632be6c3e1503d62","subject":"Declaring bunch of signatures","message":"Declaring bunch of signatures\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"c514820e22747b0a3d056da68157a741a2481b1f","subject":"Removed version 8 set","message":"Removed version 8 set\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"8aaaed5db0eeefa59a41d5beaddf918c03179f47","subject":"Found a problem with hash and view and prev","message":"Found a problem with hash and view and prev\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"76179660e6156591ca75651129fc300a31ff7ea5","subject":"Maybe got the safety case1","message":"Maybe got the safety case1\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"34b25d8b6363f68df9f4a3b59719c2beafaa9ca7","subject":"Saw a counterexample, adding a condition in [ii]","message":"Saw a counterexample, adding a condition in [ii]\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"ee6cb523fce9d6efdc8f067abd7347e27d70ddee","subject":"Made a mistake, now a nice picture","message":"Made a mistake, now a nice picture\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"056a8203047e9ac2bc46474917bbc38c8029841b","subject":"Updated song","message":"Updated song\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"63ca5dc3792ddb9d48ad28194cd89040beb4d118","subject":"I guess the slashing condition [ii] has been done","message":"I guess the slashing condition [ii] has been done\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"fatal: unable to access 'https:\/\/github.com\/pirapira\/pos.git\/': The requested URL returned error: 403\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"66fffc9f589a3bae1412c7742bec2691adf689a5","subject":"Implemented all slashing conditions","message":"Implemented all slashing conditions\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"fatal: unable to access 'https:\/\/github.com\/pirapira\/pos.git\/': The requested URL returned error: 403\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"58142dcb79a59470e7845a19a9ae40d640ebe169","subject":"Updated ableton song","message":"Updated ableton song\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"63ade091940f33c92beac18dd675965082fe5f2f","subject":"Finalised track","message":"Finalised track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"2c2075f365a6dcd0247a68c23e356010509c242c","subject":"Updated live set","message":"Updated live set\n","repos":"struct78\/the-poseidon-ensemble,struct78\/the-poseidon-ensemble","old_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_file":"ableton\/Poseidon Live Set Project\/Poseidon Live Set.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set' did not match any file(s) known to git\nerror: pathspec 'Project\/Poseidon' did not match any file(s) known to git\nerror: pathspec 'Live' did not match any file(s) known to git\nerror: pathspec 'Set.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"f835066a063b20b48885df1b46d67a7ecdcb0240","subject":"more work on tharsis","message":"more work on tharsis\n","repos":"troystribling\/seeker1,troystribling\/seeker1","old_file":"Music\/tharsis Project\/tharsis.als","new_file":"Music\/tharsis Project\/tharsis.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Music\/tharsis' did not match any file(s) known to git\nerror: pathspec 'Project\/tharsis.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}
{"commit":"8ff00f605ad96a92b9674b5a495d5a28fea45d88","subject":"Now trying a sane committer","message":"Now trying a sane committer\n","repos":"pirapira\/pos","old_file":"minimum-t.als","new_file":"minimum-t.als","new_contents":"","old_contents":"","returncode":128,"stderr":"remote: Support for password authentication was removed on August 13, 2021.\nremote: Please see https:\/\/docs.github.com\/en\/get-started\/getting-started-with-git\/about-remote-repositories#cloning-with-https-urls for information on currently recommended modes of authentication.\nfatal: Authentication failed for 'https:\/\/github.com\/pirapira\/pos.git\/'\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"6140b9462b672f9e8cf9568eee534bf40bf0166d","subject":"Tweaks to EQ","message":"Tweaks to EQ\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"a55f8d8281834065094e6a7c6771680bea1aeac5","subject":"Updated track","message":"Updated track\n","repos":"struct78\/fault-trace,struct78\/fault-trace","old_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_file":"ableton\/Fault Trace Project\/Fault Trace.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'ableton\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace' did not match any file(s) known to git\nerror: pathspec 'Project\/Fault' did not match any file(s) known to git\nerror: pathspec 'Trace.als' did not match any file(s) known to git\n","license":"apache-2.0","lang":"Alloy"}
{"commit":"91f9132f427df1b5edacc139ca3680dee65e6cda","subject":"Update ableton test file","message":"Update ableton test file\n","repos":"ahollenbach\/GesturalMusic,ahollenbach\/GesturalMusic","old_file":"Other\/test Project\/test.als","new_file":"Other\/test Project\/test.als","new_contents":"","old_contents":"","returncode":1,"stderr":"error: pathspec 'Other\/test' did not match any file(s) known to git\nerror: pathspec 'Project\/test.als' did not match any file(s) known to git\n","license":"mit","lang":"Alloy"}