val compare_and_swap_statement_computation_maintains_status
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (target old_val new_val: expression_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (s: Armada.State.t)
    : Lemma
    (ensures
      (match
          compare_and_swap_statement_computation actor
            nd
            start_pc
            target
            old_val
            new_val
            bypassing_write_buffer
            optional_result
            s
        with
        | ComputationImpossible | ComputationUndefined -> True
        | ComputationProduces s' -> status_unchanged actor s s'))
val compare_and_swap_statement_computation_maintains_status
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (target old_val new_val: expression_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (s: Armada.State.t)
    : Lemma
    (ensures
      (match
          compare_and_swap_statement_computation actor
            nd
            start_pc
            target
            old_val
            new_val
            bypassing_write_buffer
            optional_result
            s
        with
        | ComputationImpossible | ComputationUndefined -> True
        | ComputationProduces s' -> status_unchanged actor s s'))
let compare_and_swap_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (target: expression_t)
  (old_val: expression_t)
  (new_val: expression_t)
  (bypassing_write_buffer: bool)
  (optional_result: option expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match compare_and_swap_statement_computation actor nd start_pc target old_val new_val
                             bypassing_write_buffer optional_result s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  let cs' = compare_and_swap_statement_computation actor nd start_pc target old_val new_val
              bypassing_write_buffer optional_result s in
  if   Cons? nd
     || neqb (expression_to_td target) (expression_to_td old_val)
     || neqb (expression_to_td target) (expression_to_td new_val)
     || (match optional_result with
        | Some result -> neqb (expression_to_td result) (ObjectTDPrimitive PrimitiveTDBool)
        | None -> false) then
    ()
  else (
    match check_expression_up_to_date_for_rmw target actor s with
    | ComputationImpossible | ComputationUndefined -> ()
    | ComputationProduces _ ->
        (match rvalue_computation old_val actor s with
         | ComputationImpossible | ComputationUndefined -> ()
         | ComputationProduces old_value ->
             (match rvalue_computation target actor s with
              | ComputationImpossible | ComputationUndefined -> ()
              | ComputationProduces target_value ->
                  (match rvalue_computation new_val actor s with
                   | ComputationImpossible | ComputationUndefined -> ()
                   | ComputationProduces new_value ->
                       let swap = eqb target_value old_value in
                       update_expression_maintains_status target actor start_pc
                         0 false new_value s;
                       (match optional_result with
                        | None -> ()
                        | Some result ->
                            (match if swap then update_expression target actor start_pc 0 false new_value s
                                   else return s with
                             | ComputationImpossible | ComputationUndefined -> ()
                             | ComputationProduces s' ->
                                 let swap_value = ObjectValuePrimitive (PrimitiveBoxBool swap) in
                                 update_expression_maintains_status result actor
                                   start_pc 1 bypassing_write_buffer swap_value s')))))
  )
module Strategies.ArmadaStatement.Status

open Armada.Action
open Armada.Base
open Armada.Computation
open Armada.Expression
open Armada.Init
open Armada.Memory
open Armada.Pointer
open Armada.State
open Armada.Statement
open Armada.Thread
open Armada.Transition
open Armada.Type
open FStar.Sequence.Base
open Spec.List
open Spec.Logic
open Spec.Ubool
open Strategies.ArmadaStatement
open Strategies.PCRelation
open Strategies.Semantics.Armada

let push_stack_variable_maintains_status
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (method_id: method_id_t)
  (frame_uniq: root_id_uniquifier_t)
  (initializer: initializer_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match push_stack_variable actor writer_pc writer_expression_number method_id
                             frame_uniq initializer s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let rec push_stack_variables_maintains_status
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (method_id: method_id_t)
  (frame_uniq: root_id_uniquifier_t)
  (initializers: list initializer_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match push_stack_variables actor writer_pc writer_expression_number method_id
                             frame_uniq initializers s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s'))
          (decreases initializers) =
  match initializers with
  | [] -> ()
  | first_initializer :: remaining_initializers ->
      push_stack_variable_maintains_status actor writer_pc
        writer_expression_number method_id frame_uniq first_initializer s;
      (match push_stack_variable actor writer_pc writer_expression_number method_id frame_uniq first_initializer s with
       | ComputationImpossible | ComputationUndefined -> ()
       | ComputationProduces s' ->
           push_stack_variables_maintains_status actor writer_pc
             (writer_expression_number + 1) method_id frame_uniq remaining_initializers s')

let rec push_stack_parameters_maintains_status
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (method_id: method_id_t)
  (frame_uniq: root_id_uniquifier_t)
  (var_ids: list var_id_t)
  (parameters: list object_value_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match push_stack_parameters actor writer_pc writer_expression_number method_id frame_uniq
                             var_ids parameters s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s'))
          (decreases parameters) =
  match parameters, var_ids with
  | [], [] -> ()
  | first_parameter :: remaining_parameters, first_var_id :: remaining_var_ids ->
      let first_initializer =
        { var_id = first_var_id; iv = InitializerSpecific first_parameter; weakly_consistent = false } in
      push_stack_variable_maintains_status actor writer_pc
        writer_expression_number method_id frame_uniq first_initializer s;
      (match push_stack_variable actor writer_pc writer_expression_number method_id frame_uniq first_initializer s with
       | ComputationImpossible | ComputationUndefined -> ()
       | ComputationProduces s' ->
           push_stack_parameters_maintains_status actor writer_pc
             (writer_expression_number + 1) method_id frame_uniq remaining_var_ids remaining_parameters s')
  | _ -> ()

let update_expression_maintains_status
  (exp: expression_t)
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (bypassing_write_buffer: bool)
  (new_value: object_value_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match update_expression exp actor writer_pc writer_expression_number bypassing_write_buffer
                             new_value s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  let cs' = update_expression exp actor writer_pc writer_expression_number bypassing_write_buffer
              new_value s in
  if   not (expression_valid exp)
     || not (object_value_valid new_value)
     || neqb (object_value_to_td new_value) (expression_to_td exp) then
    ()
  else
    ()

let rec update_expressions_maintains_status
  (exps: list expression_t)
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (bypassing_write_buffer: bool)
  (new_values: list object_value_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match update_expressions exps actor writer_pc writer_expression_number bypassing_write_buffer
                             new_values s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s'))
          (decreases exps) =
  match exps, new_values with
  | [], [] -> ()
  | first_exp :: remaining_exps, first_new_value :: remaining_new_values ->
      update_expression_maintains_status first_exp actor writer_pc
        writer_expression_number bypassing_write_buffer first_new_value s;
      (match update_expression first_exp actor writer_pc writer_expression_number
               bypassing_write_buffer first_new_value s with
       | ComputationImpossible | ComputationUndefined -> ()
       | ComputationProduces s' ->
           update_expressions_maintains_status remaining_exps actor writer_pc
             (writer_expression_number + 1) bypassing_write_buffer remaining_new_values s')
  | _ -> ()

let rec external_method_take_snapshot_maintains_status
  (actor: tid_t)
  (writer_pc: pc_t)
  (writer_expression_number: nat)
  (bypassing_write_buffer: bool)
  (reads_clauses: list (var_id_t * expression_t))
  (s: Armada.State.t)
  : Lemma (ensures  (match external_method_take_snapshot_of_reads_clauses_computation actor writer_pc
                             writer_expression_number bypassing_write_buffer reads_clauses s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s'))
          (decreases reads_clauses) =
  match reads_clauses with
  | [] -> ()
  | (first_var_id, first_reads_expression) :: remaining_reads_clauses ->
      (match rvalue_computation first_reads_expression actor s with
       | ComputationImpossible | ComputationUndefined -> ()
       | ComputationProduces first_value ->
           let td = expression_to_td first_reads_expression in
           let local_var = ExpressionLocalVariable td first_var_id in
           update_expression_maintains_status local_var actor writer_pc
             writer_expression_number bypassing_write_buffer first_value s;
           (match update_expression local_var actor writer_pc writer_expression_number bypassing_write_buffer
                    first_value s with
            | ComputationImpossible | ComputationUndefined -> ()
            | ComputationProduces s' ->
                external_method_take_snapshot_maintains_status
                  actor writer_pc (writer_expression_number + 1) bypassing_write_buffer remaining_reads_clauses s'))
  | _ -> ()

let rec log_expressions_computation_maintains_status
  (actor: tid_t)
  (logs_clauses: list expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match log_expressions_computation actor logs_clauses s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s'))
          (decreases logs_clauses) =
  match logs_clauses with
  | [] -> ()
  | first_logs_clause :: remaining_logs_clauses ->
      (match rvalue_computation first_logs_clause actor s with
       | ComputationImpossible | ComputationUndefined -> ()
       | ComputationProduces event ->
           let trace' = s.trace $:: event in
           let s' = { s with trace = trace' } in
           log_expressions_computation_maintains_status actor
             remaining_logs_clauses s')

#push-options "--z3rlimit 10"

let assume_expression_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (exp: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match assume_expression_statement_computation actor nd start_pc exp s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let assume_predicate_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (pred: Armada.State.t -> GTot bool)
  (s: Armada.State.t)
  : Lemma (ensures  (match assume_predicate_statement_computation actor nd start_pc pred s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let assert_true_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (exp: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match assert_true_statement_computation actor nd start_pc exp s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let assert_false_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (exp: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match assert_false_statement_computation actor nd start_pc exp s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' ->
                           StopReasonAssertionFailure? s'.stop_reason
                         /\ (forall other_actor. other_actor <> actor ==>
                                           s'.threads other_actor == s.threads other_actor))) =
  ()

let conditional_jump_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (exp: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match conditional_jump_statement_computation actor nd start_pc exp s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let unconditional_jump_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match unconditional_jump_statement_computation actor nd start_pc s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  ()

let update_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (bypassing_write_buffer: bool)
  (dst: expression_t)
  (src: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match update_statement_computation actor nd start_pc bypassing_write_buffer dst src s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  let cs' = update_statement_computation actor nd start_pc bypassing_write_buffer dst src s in
  if   Cons? nd
     || neqb (expression_to_td dst) (expression_to_td src) then
    ()
  else (
    match rvalue_computation src actor s with
    | ComputationImpossible | ComputationUndefined -> ()
    | ComputationProduces src_value ->
        update_expression_maintains_status dst actor start_pc 0 bypassing_write_buffer src_value s
  )

let nondeterministic_update_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (bypassing_write_buffer: bool)
  (dst: expression_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match nondeterministic_update_statement_computation actor nd start_pc bypassing_write_buffer
                             dst s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> status_unchanged actor s s')) =
  let cs' = nondeterministic_update_statement_computation actor nd start_pc bypassing_write_buffer dst s in
  if   list_len nd <> 1
     || neqb (object_value_to_td (Cons?.hd nd)) (expression_to_td dst) then
    ()
  else (
    let nd_value = Cons?.hd nd in
    if not (object_value_has_all_pointers_uninitialized nd_value) then
      ()
    else
      update_expression_maintains_status dst actor start_pc 0
        bypassing_write_buffer nd_value s
  )

let propagate_write_message_statement_computation_maintains_status
  (actor: tid_t)
  (nd: nondeterminism_t)
  (s: Armada.State.t)
  : Lemma (ensures  (match propagate_write_message_statement_computation actor nd s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' ->
                         let receiver_tid: tid_t = ObjectValueAbstract?.value (Cons?.hd nd) in
                             s'.stop_reason = s.stop_reason
                          /\ (s'.threads actor).status = (s.threads actor).status
                          /\ (s'.threads actor).pc = (s.threads actor).pc
                          /\ (forall other_actor. other_actor <> actor /\ other_actor <> receiver_tid ==>
                                            s'.threads other_actor == s.threads other_actor)
                          /\ (s'.threads receiver_tid).status = (s.threads receiver_tid).status
                          /\ (s'.threads receiver_tid).pc = (s.threads receiver_tid).pc)) =
  ()
/
Strategies.Semantics.Armada.fsti.checked Strategies.PCRelation.fst.checked Strategies.ArmadaStatement.fst.checked Spec.Ubool.fst.checked Spec.Logic.fst.checked Spec.List.fst.checked prims.fst.checked FStar.Sequence.Base.fsti.checked FStar.Pervasives.Native.fst.checked FStar.Pervasives.fsti.checked Armada.Type.fst.checked Armada.Transition.fst.checked Armada.Thread.fst.checked Armada.Step.fst.checked Armada.Statement.fst.checked Armada.State.fst.checked Armada.Pointer.fst.checked Armada.Memory.fst.checked Armada.Init.fst.checked Armada.Expression.fst.checked Armada.Computation.fst.checked Armada.Base.fst.checked Armada.Action.fst.checked
Strategies.ArmadaStatement.Status.fst

    actor: Armada.Base.tid_t ->
    nd: Armada.Type.nondeterminism_t ->
    start_pc: Armada.Base.pc_t ->
    target: Armada.Expression.expression_t ->
    old_val: Armada.Expression.expression_t ->
    new_val: Armada.Expression.expression_t ->
    bypassing_write_buffer: Prims.bool ->
    optional_result: FStar.Pervasives.Native.option Armada.Expression.expression_t ->
    s: Armada.State.t
  -> FStar.Pervasives.Lemma
    (ensures
      ((match
            Armada.Statement.compare_and_swap_statement_computation actor
              nd
              start_pc
              target
              old_val
              new_val
              bypassing_write_buffer
              optional_result
              s
          with
          | Armada.Computation.ComputationImpossible #_ -> Prims.l_True
          | Armada.Computation.ComputationUndefined #_ -> Prims.l_True
          | Armada.Computation.ComputationProduces #_ s' ->
            Strategies.ArmadaStatement.Status.status_unchanged actor s s')
        <:
        Type0))
Armada.Base.tid_t Armada.Type.nondeterminism_t Armada.Base.pc_t Armada.Expression.expression_t Prims.bool FStar.Pervasives.Native.option Armada.State.t Prims.op_BarBar Prims.uu___is_Cons Armada.Type.object_value_t Spec.Ubool.neqb Armada.Type.object_td_t Armada.Expression.expression_to_td Armada.Type.ObjectTDPrimitive Armada.Type.PrimitiveTDBool Armada.Expression.check_expression_up_to_date_for_rmw Prims.unit Armada.Expression.rvalue_computation Armada.Type.valid_object_value_t Armada.Expression.update_expression Armada.Computation.return Strategies.ArmadaStatement.Status.update_expression_maintains_status Armada.Type.ObjectValuePrimitive Armada.Type.PrimitiveBoxBool Spec.Ubool.eqb Prims.l_or Prims.l_and Prims.b2t Armada.Type.object_value_valid Prims.eq2 Armada.Type.object_value_to_td Armada.Computation.conditional_computation_t Armada.Statement.compare_and_swap_statement_computation Prims.l_True Prims.squash Strategies.ArmadaStatement.Status.status_unchanged Prims.Nil FStar.Pervasives.pattern
let compare_and_swap_statement_computation_maintains_status
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (target old_val new_val: expression_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (s: Armada.State.t)
    : Lemma
    (ensures
      (match
          compare_and_swap_statement_computation actor
            nd
            start_pc
            target
            old_val
            new_val
            bypassing_write_buffer
            optional_result
            s
        with
        | ComputationImpossible | ComputationUndefined -> True
        | ComputationProduces s' -> status_unchanged actor s s')) =
  
let cs' =
  compare_and_swap_statement_computation actor
    nd
    start_pc
    target
    old_val
    new_val
    bypassing_write_buffer
    optional_result
    s
in
if
  Cons? nd || neqb (expression_to_td target) (expression_to_td old_val) ||
  neqb (expression_to_td target) (expression_to_td new_val) ||
  (match optional_result with
    | Some result -> neqb (expression_to_td result) (ObjectTDPrimitive PrimitiveTDBool)
    | None -> false)
then ()
else
  (match check_expression_up_to_date_for_rmw target actor s with
    | ComputationImpossible | ComputationUndefined -> ()
    | ComputationProduces _ ->
      (match rvalue_computation old_val actor s with
        | ComputationImpossible | ComputationUndefined -> ()
        | ComputationProduces old_value ->
          (match rvalue_computation target actor s with
            | ComputationImpossible | ComputationUndefined -> ()
            | ComputationProduces target_value ->
              (match rvalue_computation new_val actor s with
                | ComputationImpossible | ComputationUndefined -> ()
                | ComputationProduces new_value ->
                  let swap = eqb target_value old_value in
                  update_expression_maintains_status target actor start_pc 0 false new_value s;
                  (match optional_result with
                    | None -> ()
                    | Some result ->
                      (match
                          if swap
                          then update_expression target actor start_pc 0 false new_value s
                          else return s
                        with
                        | ComputationImpossible | ComputationUndefined -> ()
                        | ComputationProduces s' ->
                          let swap_value = ObjectValuePrimitive (PrimitiveBoxBool swap) in
                          update_expression_maintains_status result
                            actor
                            start_pc
                            1
                            bypassing_write_buffer
                            swap_value
                            s'))))))