val create_thread_statement_computation_maintains_positions_valid_in_state
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (method_id: method_id_t)
      (initial_pc: pc_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (parameter_var_ids: list var_id_t)
      (parameter_expressions: list expression_t)
      (local_variable_initializers: list initializer_t)
      (s: Armada.State.t)
    : Lemma (requires positions_valid_in_state s)
      (ensures
        (match
            create_thread_statement_computation actor nd start_pc method_id initial_pc
              bypassing_write_buffer optional_result parameter_var_ids parameter_expressions
              local_variable_initializers s
          with
          | ComputationImpossible | ComputationUndefined -> True
          | ComputationProduces s' -> positions_valid_in_state s'))
val create_thread_statement_computation_maintains_positions_valid_in_state
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (method_id: method_id_t)
      (initial_pc: pc_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (parameter_var_ids: list var_id_t)
      (parameter_expressions: list expression_t)
      (local_variable_initializers: list initializer_t)
      (s: Armada.State.t)
    : Lemma (requires positions_valid_in_state s)
      (ensures
        (match
            create_thread_statement_computation actor nd start_pc method_id initial_pc
              bypassing_write_buffer optional_result parameter_var_ids parameter_expressions
              local_variable_initializers s
          with
          | ComputationImpossible | ComputationUndefined -> True
          | ComputationProduces s' -> positions_valid_in_state s'))
let create_thread_statement_computation_maintains_positions_valid_in_state
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (method_id: method_id_t)
  (initial_pc: pc_t)
  (bypassing_write_buffer: bool)
  (optional_result: option expression_t)
  (parameter_var_ids: list var_id_t)
  (parameter_expressions: list expression_t)
  (local_variable_initializers: list initializer_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  (match create_thread_statement_computation actor nd start_pc method_id initial_pc
                             bypassing_write_buffer optional_result parameter_var_ids parameter_expressions
                             local_variable_initializers s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s')) =
  if   list_len nd <> 1
     || neqb (object_value_to_td (Cons?.hd nd)) (ObjectTDAbstract create_thread_nd_t)
     || (   Some? optional_result
        && neqb (expression_to_td (Some?.v optional_result)) (ObjectTDPrimitive PrimitiveTDThreadId))
     || list_len parameter_var_ids <> list_len parameter_expressions then
    ()
  else (
    let create_thread_nd: create_thread_nd_t = ObjectValueAbstract?.value (Cons?.hd nd) in
    let new_tid = create_thread_nd.new_tid in
    if new_tid = 0 then
      (match optional_result with
       | None -> ()
       | Some result ->
           let new_tid_value = ObjectValuePrimitive (PrimitiveBoxThreadId new_tid) in
           update_expression_maintains_positions_valid_in_state result actor start_pc
             (list_len parameter_var_ids + list_len local_variable_initializers) bypassing_write_buffer
             new_tid_value s)
    else (
      let frame_uniq = create_thread_nd.frame_uniq in
      match rvalues_computation parameter_expressions actor s with
      | ComputationImpossible | ComputationUndefined -> ()
      | ComputationProduces parameter_values ->
          let s2 = make_thread_running method_id initial_pc new_tid frame_uniq s in
          make_thread_running_maintains_positions_valid_in_state method_id initial_pc new_tid frame_uniq s;
          push_stack_parameters_maintains_positions_valid_in_state new_tid start_pc 0 method_id
            frame_uniq parameter_var_ids parameter_values s2;
          (match push_stack_parameters new_tid start_pc 0 method_id frame_uniq parameter_var_ids
                   parameter_values s2 with
           | ComputationImpossible | ComputationUndefined -> ()
           | ComputationProduces s3 ->
                push_stack_variables_maintains_positions_valid_in_state new_tid start_pc
                  (list_len parameter_var_ids) method_id frame_uniq local_variable_initializers s3;
                (match push_stack_variables new_tid start_pc (list_len parameter_var_ids) method_id frame_uniq
                         local_variable_initializers s3 with
                 | ComputationImpossible | ComputationUndefined -> ()
                 | ComputationProduces s4 ->
                     (match optional_result with
                      | None -> ()
                      | Some result ->
                         let new_tid_value = ObjectValuePrimitive (PrimitiveBoxThreadId new_tid) in
                         update_expression_maintains_positions_valid_in_state result actor start_pc
                           (list_len parameter_var_ids + list_len local_variable_initializers) bypassing_write_buffer
                           new_tid_value s4)))
    )
  )
module Strategies.ArmadaInvariant.PositionsValid

open Armada.Action
open Armada.Base
open Armada.Computation
open Armada.Expression
open Armada.Init
open Armada.Memory
open Armada.Pointer
open Armada.Program
open Armada.State
open Armada.Statement
open Armada.Thread
open Armada.Threads
open Armada.Transition
open Armada.Type
open FStar.Sequence.Ambient
open FStar.Sequence.Base
open FStar.Tactics.V2
open Spec.List
open Spec.Ubool
open Strategies.ArmadaStatement
open Util.Tactics

let init_implies_positions_valid_in_state (program: Armada.Program.t) (s: Armada.State.t)
  : Lemma (requires init_program program s)
          (ensures  positions_valid_in_state s) =
  ()

let rec push_stack_variables_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (ensures  (match push_stack_variables actor writer_pc writer_expression_number method_id
                             frame_uniq initializers s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s'))
          (decreases initializers) =
  match initializers with
  | [] -> ()
  | first_initializer :: remaining_initializers ->
      (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_positions_valid_in_state actor writer_pc (writer_expression_number + 1)
             method_id frame_uniq remaining_initializers s')

let rec push_stack_parameters_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (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' -> positions_valid_in_state 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
      (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_positions_valid_in_state actor writer_pc (writer_expression_number + 1)
             method_id frame_uniq remaining_var_ids remaining_parameters s')
  | _ -> ()

#push-options "--z3rlimit 10"

let update_pointed_to_value_maintains_positions_valid_in_state
  (p: Armada.Pointer.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 (requires positions_valid_in_state s)
          (ensures  (match update_pointed_to_value p actor writer_pc writer_expression_number bypassing_write_buffer
                             new_value s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s')) =
  ()

let update_expression_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (ensures  (match update_expression exp actor writer_pc writer_expression_number bypassing_write_buffer
                             new_value s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s')) =
  ()

#pop-options

let rec update_expressions_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (ensures  (match update_expressions exps actor writer_pc writer_expression_number bypassing_write_buffer
                             new_values s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s'))
          (decreases exps) =
  match exps, new_values with
  | [], [] -> ()
  | first_exp :: remaining_exps, first_new_value :: remaining_new_values ->
      update_expression_maintains_positions_valid_in_state 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_positions_valid_in_state remaining_exps actor writer_pc
             (writer_expression_number + 1) bypassing_write_buffer remaining_new_values s')
  | _ -> ()

let rec external_method_take_snapshot_of_reads_clauses_computation_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (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' -> positions_valid_in_state 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_positions_valid_in_state 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_of_reads_clauses_computation_maintains_positions_valid_in_state
                  actor writer_pc (writer_expression_number + 1) bypassing_write_buffer remaining_reads_clauses s'))
  | _ -> ()

let rec log_expressions_computation_maintains_positions_valid_in_state
  (actor: tid_t)
  (logs_clauses: list expression_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  (match log_expressions_computation actor logs_clauses s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state 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_positions_valid_in_state actor remaining_logs_clauses s')

#push-options "--z3rlimit 10"

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

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

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

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

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

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

let update_statement_computation_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (ensures  (match update_statement_computation actor nd start_pc bypassing_write_buffer dst src s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state 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_positions_valid_in_state dst actor start_pc 0 bypassing_write_buffer src_value s
  )

let nondeterministic_update_statement_computation_maintains_positions_valid_in_state
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (bypassing_write_buffer: bool)
  (dst: expression_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  (match nondeterministic_update_statement_computation actor nd start_pc bypassing_write_buffer
                             dst s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state 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_positions_valid_in_state dst actor start_pc 0 bypassing_write_buffer nd_value s
  )

let propagate_write_message_statement_computation_maintains_positions_valid_in_state
  (actor: tid_t)
  (nd: nondeterminism_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  (match propagate_write_message_statement_computation actor nd s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s')) =
  ()

let compare_and_swap_statement_computation_maintains_positions_valid_in_state
  (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 (requires positions_valid_in_state s)
          (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' -> positions_valid_in_state 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 begin
    match check_expression_up_to_date_for_rmw target actor s, rvalue_computation old_val actor s,
          rvalue_computation target actor s, rvalue_computation new_val actor s,
          lvalue_computation target actor s  with
    | ComputationProduces _, ComputationProduces old_value,
      ComputationProduces target_value, ComputationProduces new_value,
      ComputationProduces target_ptr -> begin
        let swap = eqb target_value old_value in
        update_pointed_to_value_maintains_positions_valid_in_state target_ptr actor start_pc 0 false new_value s;
        match optional_result with
        | None -> ()
        | Some result ->
          match lvalue_computation result actor s, (if swap then update_pointed_to_value target_ptr actor start_pc 0 false new_value s else return s) with
          | ComputationProduces result_ptr, ComputationProduces s' ->
              let swap_value = ObjectValuePrimitive (PrimitiveBoxBool swap) in
              update_pointed_to_value_maintains_positions_valid_in_state result_ptr actor start_pc 1 bypassing_write_buffer swap_value s'
          | _ -> ()
      end
    | _ -> ()
  end

let atomic_exchange_statement_computation_maintains_positions_valid_in_state
  (actor: tid_t)
  (nd: nondeterminism_t)
  (start_pc: pc_t)
  (old_val: expression_t)
  (target: expression_t)
  (new_val: expression_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  (match atomic_exchange_statement_computation actor nd start_pc old_val target new_val s with
                     | ComputationImpossible | ComputationUndefined -> True
                     | ComputationProduces s' -> positions_valid_in_state s')) =
  let cs' = atomic_exchange_statement_computation actor nd start_pc old_val target new_val s in
  match check_expression_up_to_date_for_rmw target actor s, rvalue_computation target actor s, rvalue_computation new_val actor s, lvalue_computation old_val actor s, lvalue_computation target actor s with
  | ComputationProduces _, ComputationProduces target_value, ComputationProduces new_value, ComputationProduces old_ptr, ComputationProduces target_ptr ->
    update_pointed_to_value_maintains_positions_valid_in_state old_ptr actor start_pc 0 false target_value s;
    begin match update_pointed_to_value old_ptr actor start_pc 0 false target_value s with
          | ComputationProduces s' ->
            update_pointed_to_value_maintains_positions_valid_in_state target_ptr actor start_pc 1 false new_value s'
          | _ -> ()
    end
  | _ -> ()

let make_thread_running_maintains_positions_valid_in_state
  (method_id: method_id_t)
  (initial_pc: pc_t)
  (new_tid: tid_t)
  (frame_uniq: root_id_uniquifier_t)
  (s: Armada.State.t)
  : Lemma (requires positions_valid_in_state s)
          (ensures  positions_valid_in_state (make_thread_running method_id initial_pc new_tid frame_uniq s)) =
  ()
/
Util.Tactics.fst.checked Strategies.ArmadaStatement.fst.checked Spec.Ubool.fst.checked Spec.List.fst.checked prims.fst.checked FStar.Tactics.V2.fst.checked FStar.Sequence.Base.fsti.checked FStar.Sequence.Ambient.fst.checked FStar.Pervasives.Native.fst.checked FStar.Pervasives.fsti.checked Armada.Type.fst.checked Armada.Transition.fst.checked Armada.Threads.fst.checked Armada.Thread.fst.checked Armada.Statement.fst.checked Armada.State.fst.checked Armada.Program.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.ArmadaInvariant.PositionsValid.fst

    actor: Armada.Base.tid_t ->
    nd: Armada.Type.nondeterminism_t ->
    start_pc: Armada.Base.pc_t ->
    method_id: Armada.Base.method_id_t ->
    initial_pc: Armada.Base.pc_t ->
    bypassing_write_buffer: Prims.bool ->
    optional_result: FStar.Pervasives.Native.option Armada.Expression.expression_t ->
    parameter_var_ids: Prims.list Armada.Base.var_id_t ->
    parameter_expressions: Prims.list Armada.Expression.expression_t ->
    local_variable_initializers: Prims.list Armada.Init.initializer_t ->
    s: Armada.State.t
  -> FStar.Pervasives.Lemma
      (requires Strategies.ArmadaInvariant.PositionsValid.positions_valid_in_state s)
      (ensures
        ((match
              Armada.Statement.create_thread_statement_computation actor nd start_pc method_id
                initial_pc bypassing_write_buffer optional_result parameter_var_ids
                parameter_expressions local_variable_initializers s
            with
            | Armada.Computation.ComputationImpossible #_ -> Prims.l_True
            | Armada.Computation.ComputationUndefined #_ -> Prims.l_True
            | Armada.Computation.ComputationProduces #_ s' ->
              Strategies.ArmadaInvariant.PositionsValid.positions_valid_in_state s')
          <:
          Type0))
Armada.Base.tid_t Armada.Type.nondeterminism_t Armada.Base.pc_t Armada.Base.method_id_t Prims.bool FStar.Pervasives.Native.option Armada.Expression.expression_t Prims.list Armada.Base.var_id_t Armada.Init.initializer_t Armada.State.t Prims.op_BarBar Prims.op_disEquality Prims.int Spec.List.list_len Armada.Type.object_value_t Spec.Ubool.neqb Armada.Type.object_td_t Armada.Type.object_value_to_td Prims.__proj__Cons__item__hd Armada.Type.ObjectTDAbstract Armada.Statement.create_thread_nd_t Prims.op_AmpAmp FStar.Pervasives.Native.uu___is_Some Armada.Expression.expression_to_td FStar.Pervasives.Native.__proj__Some__item__v Armada.Type.ObjectTDPrimitive Armada.Type.PrimitiveTDThreadId Prims.nat Prims.op_Equality Strategies.ArmadaInvariant.PositionsValid.update_expression_maintains_positions_valid_in_state Prims.op_Addition Armada.Type.ObjectValuePrimitive Armada.Type.PrimitiveBoxThreadId Prims.unit Armada.Expression.rvalues_computation Armada.Init.push_stack_parameters Armada.Init.push_stack_variables Strategies.ArmadaInvariant.PositionsValid.push_stack_variables_maintains_positions_valid_in_state Strategies.ArmadaInvariant.PositionsValid.push_stack_parameters_maintains_positions_valid_in_state Strategies.ArmadaInvariant.PositionsValid.make_thread_running_maintains_positions_valid_in_state Armada.Statement.make_thread_running Armada.Base.root_id_uniquifier_t Armada.Statement.__proj__Mkcreate_thread_nd_t__item__frame_uniq Armada.Statement.__proj__Mkcreate_thread_nd_t__item__new_tid Armada.Type.__proj__ObjectValueAbstract__item__value Strategies.ArmadaInvariant.PositionsValid.positions_valid_in_state Prims.squash Armada.Statement.create_thread_statement_computation Prims.l_True Prims.Nil FStar.Pervasives.pattern
let create_thread_statement_computation_maintains_positions_valid_in_state
      (actor: tid_t)
      (nd: nondeterminism_t)
      (start_pc: pc_t)
      (method_id: method_id_t)
      (initial_pc: pc_t)
      (bypassing_write_buffer: bool)
      (optional_result: option expression_t)
      (parameter_var_ids: list var_id_t)
      (parameter_expressions: list expression_t)
      (local_variable_initializers: list initializer_t)
      (s: Armada.State.t)
    : Lemma (requires positions_valid_in_state s)
      (ensures
        (match
            create_thread_statement_computation actor nd start_pc method_id initial_pc
              bypassing_write_buffer optional_result parameter_var_ids parameter_expressions
              local_variable_initializers s
          with
          | ComputationImpossible | ComputationUndefined -> True
          | ComputationProduces s' -> positions_valid_in_state s')) =
  
if
  list_len nd <> 1 || neqb (object_value_to_td (Cons?.hd nd)) (ObjectTDAbstract create_thread_nd_t) ||
  (Some? optional_result &&
    neqb (expression_to_td (Some?.v optional_result)) (ObjectTDPrimitive PrimitiveTDThreadId)) ||
  list_len parameter_var_ids <> list_len parameter_expressions
then ()
else
  (let create_thread_nd:create_thread_nd_t = ObjectValueAbstract?.value (Cons?.hd nd) in
    let new_tid = create_thread_nd.new_tid in
    if new_tid = 0
    then
      (match optional_result with
        | None -> ()
        | Some result ->
          let new_tid_value = ObjectValuePrimitive (PrimitiveBoxThreadId new_tid) in
          update_expression_maintains_positions_valid_in_state result
            actor
            start_pc
            (list_len parameter_var_ids + list_len local_variable_initializers)
            bypassing_write_buffer
            new_tid_value
            s)
    else
      (let frame_uniq = create_thread_nd.frame_uniq in
        match rvalues_computation parameter_expressions actor s with
        | ComputationImpossible | ComputationUndefined -> ()
        | ComputationProduces parameter_values ->
          let s2 = make_thread_running method_id initial_pc new_tid frame_uniq s in
          make_thread_running_maintains_positions_valid_in_state method_id
            initial_pc
            new_tid
            frame_uniq
            s;
          push_stack_parameters_maintains_positions_valid_in_state new_tid
            start_pc
            0
            method_id
            frame_uniq
            parameter_var_ids
            parameter_values
            s2;
          (match
              push_stack_parameters new_tid
                start_pc
                0
                method_id
                frame_uniq
                parameter_var_ids
                parameter_values
                s2
            with
            | ComputationImpossible | ComputationUndefined -> ()
            | ComputationProduces s3 ->
              push_stack_variables_maintains_positions_valid_in_state new_tid
                start_pc
                (list_len parameter_var_ids)
                method_id
                frame_uniq
                local_variable_initializers
                s3;
              (match
                  push_stack_variables new_tid
                    start_pc
                    (list_len parameter_var_ids)
                    method_id
                    frame_uniq
                    local_variable_initializers
                    s3
                with
                | ComputationImpossible | ComputationUndefined -> ()
                | ComputationProduces s4 ->
                  (match optional_result with
                    | None -> ()
                    | Some result ->
                      let new_tid_value = ObjectValuePrimitive (PrimitiveBoxThreadId new_tid) in
                      update_expression_maintains_positions_valid_in_state result
                        actor
                        start_pc
                        (list_len parameter_var_ids + list_len local_variable_initializers)
                        bypassing_write_buffer
                        new_tid_value
                        s4)))))