Library mcertikos.mm.MALT

***********************************************************************
*                                                                     *
*            The CertiKOS Certified Kit Operating System              *
*                                                                     *
*                   The FLINT Group, Yale University                  *
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*  Copyright The FLINT Group, Yale University.  All rights reserved.  *
*  This file is distributed under the terms of the Yale University    *
*  Non-Commercial License Agreement.                                  *
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This file defines the abstract data and the primitives for the MAL layer, which will introduce the palloc and pfree primitives

Require Import Coqlib.
Require Import Maps.
Require Import ASTExtra.
Require Import Integers.
Require Import Floats.
Require Import Values.
Require Import Memory.
Require Import Events.
Require Import Stacklayout.
Require Import Globalenvs.
Require Import AsmX.
Require Import Smallstep.
Require Import AuxStateDataType.
Require Import Constant.
Require Import GlobIdent.
Require Import FlatMemory.
Require Import CommonTactic.
Require Import FutureTactic.
Require Import AuxLemma.
Require Import RealParams.
Require Import PrimSemantics.
Require Import LAsm.
Require Import LoadStoreSem1.

Require Import liblayers.logic.PTreeModules.
Require Import liblayers.logic.LayerLogicImpl.
Require Import liblayers.compat.CompatLayers.
Require Import liblayers.compat.CompatGenSem.

Require Import INVLemmaContainer.
Require Import INVLemmaMemory.
Require Import INVLemmaDevice.

Require Import AbstractDataType.
Require Import DeviceStateDataType.

Require Export ObjCPU.
Require Export ObjMM.
Require Export ObjFlatMem.
Require Export ObjContainer.
Require Export ObjPMM.
Require Export ObjSerialDevice.
Require Export ObjInterruptController.

Section WITHMEM.

Local Open Scope Z_scope.

Context `{real_params: RealParams}.

Raw Abstract Data

Invariants at this layer

  Record high_level_invariant (abd: RData) :=
    mkInvariant {
        valid_nps: init abd = true → kern_low ≤ nps abd ≤ maxpage;
        valid_kern: ikern abd = false → pg abd = true ∧ init abd = true;
        valid_AT_kern: init abd = true → AT_kern (AT abd) (nps abd);
        valid_AT_usr: init abd = true → AT_usr (AT abd) (nps abd);
        valid_CR3: pg abd = true → CR3_valid (CR3 abd);
        valid_ihost: ihost abd = false → pg abd = true ∧ init abd = true ∧ ikern abd = true;
        valid_container: Container_valid (AC abd);
        valid_pperm: consistent_ppage (AT abd) (pperm abd) (nps abd);
        init_pperm: init abd = false → (pperm abd ) = ZMap.init PGUndef;
        valid_cons_buf_rpos: 0 ≤ rpos (console abd) < CONSOLE_BUFFER_SIZE;
        valid_cons_buf_length: 0 ≤ Zlength (cons_buf (console abd)) < CONSOLE_BUFFER_SIZE
      }.

Definition of the abstract state ops

  Global Instance malt_data_ops : CompatDataOps RData :=
    {
      empty_data := init_adt;
      high_level_invariant := high_level_invariant;
      low_level_invariant := low_level_invariant;
      kernel_mode adt := ikern adt = true ∧ ihost adt = true
    }.

Proofs that the initial abstract_data should satisfy the invariants

  Section Property_Abstract_Data.

    Lemma empty_data_high_level_invariant:
      high_level_invariant init_adt.
    Proof.
      constructor; simpl; intros; auto; try inv H; try solve_list; try omega.
      - apply empty_container_valid.
      - eapply consistent_ppage_init.
    Qed.

  End Property_Abstract_Data.

Definition of the abstract state

  Global Instance malt_data_prf : CompatData RData.
  Proof.
    constructor.
    - apply low_level_invariant_incr.
    - apply empty_data_low_level_invariant.
    - apply empty_data_high_level_invariant.
  Qed.

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

Proofs that the primitives satisfies the invariants at this layer

  Section INV.

    Global Instance setPG_inv: PreservesInvariants setPG0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; auto.
    Qed.

    Global Instance mem_init_inv: PreservesInvariants mem_init_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
      - apply real_nps_range.
      - apply real_at_kern_valid.
      - apply real_at_usr_valid.
      - apply AC_init_container_valid.
      - rewrite init_pperm0; try assumption.
        apply real_pperm_valid.
    Qed.

    Global Instance setCR3_inv: SetCR3Invariants setCR30_spec.
    Proof.
      constructor; intros; functional inversion H.
      - inv H0; constructor; trivial.
      - inv H0; constructor; auto.
      - assumption.
    Qed.

    Global Instance container_split_inv: PreservesInvariants container_split_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; auto.
      rewrite <- H0 in H2.
      exploit split_container_valid; eauto.
    Qed.

device primitives

    Require Export ObjInterruptController.
    Global Instance cli_inv: PreservesInvariants cli_spec.
    Proof.
      preserves_invariants_direct low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance sti_inv: PreservesInvariants sti_spec.
    Proof.
      preserves_invariants_direct low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Require Export ObjConsole.
    Require Import INVLemmaDriver.
    Global Instance cons_buf_read_inv:
      PreservesInvariants cons_buf_read_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Require Export ObjSerialDriver.
    Global Instance serial_putc_inv:
      PreservesInvariants serial_putc_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Require Export ObjInterruptManagement.
    Require Import INVLemmaInterrupt.
    Global Instance serial_intr_disable_inv: PreservesInvariants serial_intr_disable_spec.
    Proof.
      constructor; simpl; intros; inv_generic_sem H.
      - inversion H0; econstructor; eauto 2 with serial_intr_disable_invariantdb.
        generalize (serial_intr_disable_preserves_tf _ _ H2); intro tmprw; rewrite <- tmprw; assumption.
      - inversion H0; econstructor; eauto 2 with serial_intr_disable_invariantdb.
      - eauto 2 with serial_intr_disable_invariantdb.
    Qed.

    Global Instance serial_intr_enable_inv: PreservesInvariants serial_intr_enable_spec.
    Proof.
      constructor; simpl; intros; inv_generic_sem H.
      - inversion H0; econstructor; eauto 2 with serial_intr_enable_invariantdb.
        generalize (serial_intr_enable_preserves_tf _ _ H2); intro tmprw; rewrite <- tmprw; assumption.
      - inversion H0; econstructor; eauto 2 with serial_intr_enable_invariantdb.
      - eauto 2 with serial_intr_enable_invariantdb.
    Qed.

    Global Instance trapin_inv: PrimInvariants trapin_spec.
    Proof.
      PrimInvariants_simpl H H0.
    Qed.

    Global Instance trapout_inv: PrimInvariants trapout0_spec.
    Proof.
      PrimInvariants_simpl H H0.
    Qed.

    Global Instance hostin_inv: PrimInvariants hostin_spec.
    Proof.
      PrimInvariants_simpl H H0.
    Qed.

    Global Instance hostout_inv: PrimInvariants hostout_spec.
    Proof.
      PrimInvariants_simpl H H0.
    Qed.

    Global Instance fstore_inv: PreservesInvariants fstore0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; trivial;
      functional inversion H; subst; auto.
    Qed.

    Global Instance set_at_c_inv: PreservesInvariants set_at_c0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; auto.
      - intros; eapply AT_kern_norm; eauto.
      - intros; eapply AT_usr_norm; eauto.
      - eapply consistent_ppage_norm; eauto.
    Qed.

    Global Instance palloc_inv: PreservesInvariants palloc´_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; auto.
      - intros; eapply AT_kern_norm´; eauto.
      - intros; eapply AT_usr_norm; eauto.
      - eapply alloc_container_valid´; eauto.
      - eapply consistent_ppage_norm_alloc; eauto.
    Qed.

    Global Instance pfree_inv: PreservesInvariants pfree´_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; auto.
      - intros; eapply AT_kern_norm; eauto.
      - intros; eapply AT_usr_norm; eauto.
      - eapply consistent_ppage_norm_undef; eauto.
    Qed.

    Global Instance flatmem_copy_inv: PreservesInvariants flatmem_copy0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto.
    Qed.

  End INV.

  Definition exec_loadex {F V} := exec_loadex1 (F := F) (V := V).

  Definition exec_storeex {F V} := exec_storeex1 (flatmem_store:= flatmem_store) (F := F) (V := V).

  Global Instance flatmem_store_inv: FlatmemStoreInvariant (flatmem_store:= flatmem_store).
  Proof.
    split; inversion 1; intros.
    - functional inversion H0; constructor; auto.
    - functional inversion H1; constructor; auto.
  Qed.

  Global Instance trapinfo_set_inv: TrapinfoSetInvariant.
  Proof.
    split; inversion 1; intros; constructor; auto.
  Qed.

Layer Definition

Layer Definition newly introduced

  Definition malt_fresh: compatlayer (cdata RData) :=
    palloc ↦ gensem palloc´_spec
           ⊕ pfree ↦ gensem pfree´_spec.

Layer Definition passthrough

  Definition malt_passthrough : compatlayer (cdata RData) :=
    fload ↦ gensem fload´_spec
          ⊕ fstore ↦ gensem fstore0_spec
          ⊕ flatmem_copy ↦ gensem flatmem_copy0_spec
          ⊕ vmxinfo_get ↦ gensem vmxinfo_get_spec
          ⊕ set_pg ↦ gensem setPG0_spec
          ⊕ set_cr3 ↦ setCR3_compatsem setCR30_spec
          ⊕ at_get_c ↦ gensem get_at_c_spec
          ⊕ at_set_c ↦ gensem set_at_c0_spec
          ⊕ mem_init ↦ gensem mem_init_spec
          ⊕ container_get_parent ↦ gensem container_get_parent_spec
          ⊕ container_get_quota ↦ gensem container_get_quota_spec
          ⊕ container_get_usage ↦ gensem container_get_usage_spec
          ⊕ container_can_consume ↦ gensem container_can_consume_spec
          ⊕ container_split ↦ gensem container_split_spec
          ⊕ cli ↦ gensem cli_spec
          ⊕ sti ↦ gensem sti_spec
          ⊕ cons_buf_read ↦ gensem cons_buf_read_spec
          ⊕ serial_putc ↦ gensem serial_putc_spec
          ⊕ serial_intr_disable ↦ gensem serial_intr_disable_spec
          ⊕ serial_intr_enable ↦ gensem serial_intr_enable_spec
          ⊕ trap_in ↦ primcall_general_compatsem trapin_spec
          ⊕ trap_out ↦ primcall_general_compatsem trapout0_spec
          ⊕ host_in ↦ primcall_general_compatsem hostin_spec
          ⊕ host_out ↦ primcall_general_compatsem hostout_spec
          ⊕ trap_get ↦ primcall_trap_info_get_compatsem trap_info_get_spec
          ⊕ trap_set ↦ primcall_trap_info_ret_compatsem trap_info_ret_spec
          ⊕ accessors ↦ {| exec_load := @exec_loadex ; exec_store := @exec_storeex |}.

Layer Definition

Definition malt : compatlayer (cdata RData) := malt_fresh ⊕ malt_passthrough.

End WITHMEM.