Library mcertikos.mm.ALHGenLink

Require Import LinkTemplate.
Require Import MALH.
Require Import ALHGen.
Require Import ALHGenLinkSource.
Require Import MALT.

Section WITHCOMPCERTIKOS.
  Context `{compcertikos_prf: CompCertiKOS} `{real_params_prf: RealParams}.
  Context `{multi_oracle_prop: MultiOracleProp}.
  Context `{multi_oracle_link: !MultiOracleLink}.

  Lemma init_correct:
    init_correct_type MALH_module malt malh.
  Proof.
    init_correct.
    - apply relateath.
    - constructor; intros.
      × repeat rewrite ZMap.gi; eauto.
      × repeat rewrite ZMap.gi; eauto.
        constructor.
    - rewrite ZMap.gi. intros. inv H0.
  Qed.

  Lemma link_correct_aux:
    link_correct_aux_type MALH_module malt malh.
  Proof.
    intros M HM.
    eapply layer_link_new_glbl_both.
    apply oplus_sim_monotonic.
    apply passthrough_correct.
    apply L64_auto_sim.
  Qed.

  Theorem cl_backward_simulation:
    cl_backward_simulation_type MALH_module malt malh.
  Proof.
    cl_backward_simulation init_correct link_correct_aux.
  Qed.

  Theorem make_program_exists:
    make_program_exist_type MALH_module malt malh.
  Proof.
    make_program_exists link_correct_aux.
  Qed.
End WITHCOMPCERTIKOS.