Library mcertikos.mm.MBoot

***********************************************************************
*                                                                     *
*            The CertiKOS Certified Kit Operating System              *
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*                   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    *
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This file defines the raw abstract data and the primitives for the MBoot layer, which is also the bottom layer of memory management
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 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 AbstractDataType.

Require Export ObjCPU.
Require Export ObjMM.
Require Export ObjFlatMem.
Require Export ObjSerialDevice.
Require Export ObjKeyboard.
Require Export ObjInterruptController.
Require Export ObjX86.
Since MBoot is the bottom layer, we should avoid introducing too many hypotheses over the hardware. Therefore, there aren't any invariants over the abstract data at this layer

Section WITHMEM.

  Local Open Scope Z_scope.

  Context `{real_params: RealParams}.

Raw Abstract Data


Invariants at this layer

  Definition high_level_invariant (abd: RData) := True.

Definition of the abstract state ops

  Global Instance mboot_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; trivial.
    Qed.

Definition of the abstract state

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

  End Property_Abstract_Data.

  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 setPG_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance fstore_inv: PreservesInvariants fstore´_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance setCR3_inv: SetCR3Invariants setCR3_spec.
    Proof.
      constructor; intros.
      - functional inversion H; inv H0; constructor; trivial.
      - functional inversion H; inv H0; constructor; auto.
      - functional inversion H; simpl in *; assumption.
    Qed.

    Global Instance bootloader0_inv: PreservesInvariants bootloader0_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

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

    Global Instance trapout_inv: PrimInvariants trapout´_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 cli_inv: PreservesInvariants cli_spec.
    Proof.
      econstructor; intros; inv H; functional inversion H1; subst.
      - inv H0; constructor; trivial.
      - inv H0; constructor; auto.
      - simpl in *; assumption.
    Qed.

    Global Instance sti_inv: PreservesInvariants sti_spec.
    Proof.
      econstructor; intros; inv H; functional inversion H1; subst.
      - inv H0; constructor; trivial.
      - inv H0; constructor; auto.
      - simpl in *; assumption.
    Qed.

    Require Import FutureTactic.
    Global Instance serial_in_inv: PreservesInvariants serial_in_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant.
    Qed.

    Global Instance serial_out_inv: PreservesInvariants serial_out_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant.
    Qed.

    Global Instance serial_hw_intr_inv: PreservesInvariants serial_hw_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant.
    Qed.

    Global Instance ic_intr_inv: PreservesInvariants ic_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant.
    Qed.

    Global Instance keyboard_in_inv: PreservesInvariants keyboard_in_spec.
    Proof.
      preserves_invariants_subst low_level_invariant high_level_invariant.
    Qed.

    Global Instance keyboard_hw_intr_inv: PreservesInvariants keyboard_hw_intr_spec.
    Proof.
      preserves_invariants_nested low_level_invariant high_level_invariant.
    Qed.

    Global Instance ioapic_read_inv: PreservesInvariants ioapic_read_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance ioapic_write_inv: PreservesInvariants ioapic_write_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance lapic_read_inv: PreservesInvariants lapic_read_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance lapic_write_inv: PreservesInvariants lapic_write_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant.
    Qed.

    Global Instance iret_inv: PreservesInvariants iret_spec.
    Proof.
      preserves_invariants_direct low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance local_irq_save_inv:
      PreservesInvariants local_irq_save_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance local_irq_restore_inv:
      PreservesInvariants local_irq_restore_spec.
    Proof.
      preserves_invariants_simpl low_level_invariant high_level_invariant; eauto 2.
    Qed.

    Global Instance save_context_inv:
      SaveContextInvariants save_context_spec.
    Proof.
      constructor; intros.
      -
        inv H0. unfold save_context_spec; simpl. inv H1.
        constructor; simpl; trivial.
        induction (tf d).
        simpl.
        constructor.
        constructor.
        simpl.
        apply inv_reg_wt.
        simpl.
        inv inv_inject_neutral.
        eapply inv_reg_inject_neutral; auto.
        constructor.
        constructor.
        inv tf_INJECT.
        assumption.
        eapply IHt; auto.
        inv tf_INJECT.
        assumption.
      -
        inv H0. unfold save_context_spec; simpl.
        constructor; simpl; trivial.
    Qed.

    Global Instance restore_context_inv:
      RestoreContextInvariants restore_context_spec.
    Proof.
      constructor; intros.
      -
        inv H0. functional inversion H; inv H1;
        constructor; simpl; trivial.
        rewrite H4 in ×.
        clear H4 H.
        generalize dependent _x.
        induction _x0.
        intros.
        simpl in ×.
        constructor.
        intros.
        simpl in ×.
        constructor.
        inv tf_INJECT.
        assumption.
        eapply IH_x0; auto.
        inv tf_INJECT; assumption.
      -
        inv H0. functional inversion H; subst;
        constructor; simpl; trivial.
    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.

  Global Instance flatmem_copy_inv: PreservesInvariants flatmem_copy´_spec.
  Proof.
    preserves_invariants_simpl low_level_invariant high_level_invariant.
  Qed.

Layer Definition

  Definition mboot_fresh : compatlayer (cdata RData) :=
    fload ↦ gensem fload´_spec
           ⊕ fstore ↦ gensem fstore´_spec
           ⊕ flatmem_copy ↦ gensem flatmem_copy´_spec.

  Definition mboot_passthrough : compatlayer (cdata RData) :=
    vmxinfo_get ↦ gensem vmxinfo_get_spec
                ⊕ set_pg ↦ gensem setPG_spec
                ⊕ set_cr3 ↦ setCR3_compatsem setCR3_spec
                ⊕ get_size ↦ gensem MMSize
                ⊕ is_usable ↦ gensem is_mm_usable_spec
                ⊕ get_mms ↦ gensem get_mm_s_spec
                ⊕ get_mml ↦ gensem get_mm_l_spec
                ⊕ boot_loader ↦ gensem bootloader0_spec
                ⊕ serial_irq_check ↦ gensem serial_irq_check_spec
                ⊕ iret ↦ gensem iret_spec
                ⊕ cli ↦ gensem cli_spec
                ⊕ sti ↦ gensem sti_spec
                ⊕ serial_irq_current ↦ gensem serial_irq_current_spec
                ⊕ ic_intr ↦ gensem ic_intr_spec
                ⊕ save_context ↦ primcall_save_context_compatsem save_context_spec
                ⊕ restore_context ↦ primcall_restore_context_compatsem restore_context_spec
                ⊕ local_irq_save ↦ gensem local_irq_save_spec
                ⊕ local_irq_restore ↦ gensem local_irq_restore_spec
                ⊕ serial_in ↦ gensem serial_in_spec
serial device
                ⊕ serial_out ↦ gensem serial_out_spec
serial device
                ⊕ serial_hw_intr ↦ gensem serial_hw_intr_spec
serial device
                ⊕ keyboard_in ↦ gensem keyboard_in_spec
keyboard device
                ⊕ keyboard_hw_intr ↦ gensem keyboard_hw_intr_spec
keyboard device
                ⊕ ioapic_read ↦ gensem ioapic_read_spec
ioapic device
                ⊕ ioapic_write ↦ gensem ioapic_write_spec
ioapic device
                ⊕ lapic_read ↦ gensem lapic_read_spec
lapic device
                ⊕ lapic_write ↦ gensem lapic_write_spec
lapic device
                ⊕ trap_in ↦ primcall_general_compatsem trapin_spec
                ⊕ trap_out ↦ primcall_general_compatsem trapout´_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 |}.

  Definition mboot : compatlayer (cdata RData) := mboot_fresh ⊕ mboot_passthrough.

End WITHMEM.