Library mcertikos.mcslock.MCSCurIDGenSpec

This file provide the contextual refinement proof between MBoot layer and MALInit layer
Require Import Coqlib.
Require Import Errors.
Require Import AST.
Require Import Integers.
Require Import Floats.
Require Import Op.
Require Import Asm.
Require Import Events.
Require Import Globalenvs.
Require Import Smallstep.
Require Import Values.
Require Import Memory.
Require Import Maps.
Require Import AuxLemma.
Require Import FlatMemory.
Require Import AuxStateDataType.
Require Import Constant.
Require Import GlobIdent.
Require Import RealParams.
Require Import AsmImplLemma.
Require Import GenSem.
Require Import PrimSemantics.

Require Import liblayers.logic.PTreeModules.
Require Import liblayers.logic.LayerLogicImpl.
Require Import liblayers.compcertx.Stencil.
Require Import liblayers.compcertx.MakeProgram.
Require Import liblayers.compat.CompatLayers.
Require Import liblayers.compat.CompatGenSem.
Require Import compcert.cfrontend.Ctypes.

Require Import AbstractDataType.
Require Import MCSMBoot.

Require Import ObjMCSLock.

Local Open Scope string_scope.
Local Open Scope error_monad_scope.
Local Open Scope Z_scope.

Definition of the refinement relation

Section Refinement.

  Context `{real_params: RealParams}.
  Context `{mcs_oracle_prop: MCSOracleProp}.

  Notation LDATA := RData.

  Notation LDATAOps := (cdata LDATA).

  Inductive get_curid_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps) :=
    get_curid_spec_low_intro s (WB: _Prop) (m´0: mwd LDATAOps) b0 v i:
      find_symbol s CURID_LOC = Some b0
      Mem.load Mint32 m´0 b0 (i × 4) = Some (Vint v) →
      i = CPU_ID (snd (m´0)) →
      kernel_mode (snd m´0) →
      get_curid_spec_low_step s WB nil m´0 (Vint v) m´0.

  Inductive set_curid_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps) :=
    set_curid_spec_low_intro s (WB: _Prop) (m´0 m0: mwd LDATAOps) b0 v i:
      find_symbol s CURID_LOC = Some b0
      Mem.store Mint32 m´0 b0 (i × 4) (Vint v) = Some m0
      i = CPU_ID (snd (m´0)) →
      kernel_mode (snd m´0) →
      set_curid_spec_low_step s WB (Vint v :: nil) m´0 Vundef m0.

  Inductive set_curid_init_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps) :=
    set_curid_init_spec_low_intro s (WB: _Prop) (m´0 m0: mwd LDATAOps) b0 i:
      find_symbol s CURID_LOC = Some b0
      Mem.store Mint32 m´0 b0 ((Int.unsigned i) × 4) (Vint (Int.repr (Int.unsigned i + 1))) = Some m0
      0 (Int.unsigned i) < TOTAL_CPU
      kernel_mode (snd m´0) →
      set_curid_init_spec_low_step s WB (Vint i :: nil) m´0 Vundef m0.

  Section WITHMEM.

    Context `{Hstencil: Stencil}.
    Context `{Hmem: Mem.MemoryModel}.
    Context `{Hmwd: UseMemWithData mem}.

    Definition get_curid_spec_low: compatsem LDATAOps :=
      csem get_curid_spec_low_step Tnil Tint32.

    Definition set_curid_spec_low: compatsem LDATAOps :=
      csem set_curid_spec_low_step (type_of_list_type (Tint32::nil)) Tvoid.

    Definition set_curid_init_spec_low: compatsem LDATAOps :=
      csem set_curid_init_spec_low_step (type_of_list_type (Tint32::nil)) Tvoid.



  End WITHMEM.

End Refinement.