Library mcertikos.devdrivers.LApicGenSpec

This file provide the contextual refinement proof between DConsoleBufOp layer and DSerialIntro 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 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 Conventions.

Require Import DIoApic.
Require Import AbstractDataType.
Require Import mCertiKOSType.

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

Definition of the low level specification

Section SPECIFICATION.

  Context `{real_params: RealParams}.
  Context `{oracle_prop: MultiOracleProp}.

  Notation LDATA := RData.

  Notation LDATAOps := (cdata LDATA).

  Inductive lapic_init_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps):=
  | lapic_init_spec_low_intro s (WB: _ → Prop) m´0 labd labd´:
      lapic_init_spec labd = Some labd´ →
      kernel_mode labd →
      high_level_invariant labd →
      lapic_init_spec_low_step s WB nil (m´0 , labd ) Vundef (m´0 , labd´).

  Inductive lapic_eoi_spec_low_step `{StencilOps} `{Mem.MemoryModelOps} `{UseMemWithData mem}:
    sextcall_sem (mem := mwd LDATAOps):=
  | lapic_eoi_spec_low_intro s (WB: _ → Prop) m´0 labd labd´:
      lapic_eoi_spec labd = Some labd´ →
      kernel_mode labd →
      high_level_invariant labd →
      lapic_eoi_spec_low_step s WB nil (m´0 , labd ) Vundef (m´0 , labd´).

  Section WITHMEM.

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

    Definition lapic_init_spec_low: compatsem LDATAOps :=
      csem lapic_init_spec_low_step Tnil Tvoid.

    Definition lapic_eoi_spec_low: compatsem LDATAOps :=
      csem lapic_eoi_spec_low_step Tnil Tvoid.

  End WITHMEM.

End SPECIFICATION.