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author | Sylvain Boulmé <sylvain.boulme@univ-grenoble-alpes.fr> | 2021-06-01 17:16:06 +0200 |
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committer | Sylvain Boulmé <sylvain.boulme@univ-grenoble-alpes.fr> | 2021-06-01 17:16:06 +0200 |
commit | f6a3483c7dcac5ed56a349361a19dc1f4c985de3 (patch) | |
tree | 9c584f2510d2c7f4d9b389fe7769beea75c368ac /scheduling/BTL_SEtheory.v | |
parent | cf9824cd02c9dd5a8053c1853f26b98ad807766e (diff) | |
download | compcert-kvx-f6a3483c7dcac5ed56a349361a19dc1f4c985de3.tar.gz compcert-kvx-f6a3483c7dcac5ed56a349361a19dc1f4c985de3.zip |
starting BTL_SEsimuref
Diffstat (limited to 'scheduling/BTL_SEtheory.v')
-rw-r--r-- | scheduling/BTL_SEtheory.v | 100 |
1 files changed, 1 insertions, 99 deletions
diff --git a/scheduling/BTL_SEtheory.v b/scheduling/BTL_SEtheory.v index 3083ca71..c7a44153 100644 --- a/scheduling/BTL_SEtheory.v +++ b/scheduling/BTL_SEtheory.v @@ -1057,102 +1057,4 @@ Proof. intros (s3 & STEP2 & EQ2). clear STEP1; eexists; split; eauto. eapply equiv_state_trans; eauto. -Qed. - -(** * Preservation properties *) - -Section SymbValPreserved. - -Variable ge ge': BTL.genv. - -Hypothesis symbols_preserved_BTL: forall s, Genv.find_symbol ge' s = Genv.find_symbol ge s. - -Hypothesis senv_preserved_BTL: Senv.equiv ge ge'. - -Lemma senv_find_symbol_preserved id: - Senv.find_symbol ge id = Senv.find_symbol ge' id. -Proof. - destruct senv_preserved_BTL as (A & B & C). congruence. -Qed. - -Lemma senv_symbol_address_preserved id ofs: - Senv.symbol_address ge id ofs = Senv.symbol_address ge' id ofs. -Proof. - unfold Senv.symbol_address. rewrite senv_find_symbol_preserved. - reflexivity. -Qed. - -Variable stk stk': list stackframe. -Variable f f': function. -Variable sp: val. -Variable rs0: regset. -Variable m0: mem. - -Lemma eval_sval_preserved sv: - eval_sval (Bctx ge stk f sp rs0 m0) sv = eval_sval (Bctx ge' stk' f' sp rs0 m0) sv. -Proof. - induction sv using sval_mut with (P0 := fun lsv => eval_list_sval (Bctx ge stk f sp rs0 m0) lsv = eval_list_sval (Bctx ge' stk' f' sp rs0 m0) lsv) - (P1 := fun sm => eval_smem (Bctx ge stk f sp rs0 m0) sm = eval_smem (Bctx ge' stk' f' sp rs0 m0) sm); simpl; auto. - + rewrite IHsv; clear IHsv. destruct (eval_list_sval _ _); auto. - rewrite IHsv0; clear IHsv0. destruct (eval_smem _ _); auto. - erewrite eval_operation_preserved; eauto. - + rewrite IHsv0; clear IHsv0. destruct (eval_list_sval _ _); auto. - erewrite <- eval_addressing_preserved; eauto. - destruct (eval_addressing _ sp _ _); auto. - rewrite IHsv; auto. - + rewrite IHsv; clear IHsv. destruct (eval_sval _ _); auto. - rewrite IHsv0; auto. - + rewrite IHsv0; clear IHsv0. destruct (eval_list_sval _ _); auto. - erewrite <- eval_addressing_preserved; eauto. - destruct (eval_addressing _ sp _ _); auto. - rewrite IHsv; clear IHsv. destruct (eval_smem _ _); auto. - rewrite IHsv1; auto. -Qed. - -Lemma seval_builtin_arg_preserved m: forall bs varg, - seval_builtin_arg (Bctx ge stk f sp rs0 m0) m bs varg -> - seval_builtin_arg (Bctx ge' stk' f' sp rs0 m0) m bs varg. -Proof. - induction 1; simpl. - all: try (constructor; auto). - - rewrite <- eval_sval_preserved. assumption. - - rewrite <- senv_symbol_address_preserved. assumption. - - rewrite senv_symbol_address_preserved. eapply seval_BA_addrglobal. -Qed. - -Lemma seval_builtin_args_preserved m lbs vargs: - seval_builtin_args (Bctx ge stk f sp rs0 m0) m lbs vargs -> - seval_builtin_args (Bctx ge' stk' f' sp rs0 m0) m lbs vargs. -Proof. - induction 1; constructor; eauto. - eapply seval_builtin_arg_preserved; auto. -Qed. - -Lemma list_sval_eval_preserved lsv: - eval_list_sval (Bctx ge stk f sp rs0 m0) lsv = eval_list_sval (Bctx ge' stk' f' sp rs0 m0) lsv. -Proof. - induction lsv; simpl; auto. - rewrite eval_sval_preserved. destruct (eval_sval _ _); auto. - rewrite IHlsv; auto. -Qed. - -Lemma smem_eval_preserved sm: - eval_smem (Bctx ge stk f sp rs0 m0) sm = eval_smem (Bctx ge' stk' f' sp rs0 m0) sm. -Proof. - induction sm; simpl; auto. - rewrite list_sval_eval_preserved. destruct (eval_list_sval _ _); auto. - erewrite <- eval_addressing_preserved; eauto. - destruct (eval_addressing _ sp _ _); auto. - rewrite IHsm; clear IHsm. destruct (eval_smem _ _); auto. - rewrite eval_sval_preserved; auto. -Qed. - -Lemma seval_condition_preserved cond lsv sm: - seval_condition (Bctx ge stk f sp rs0 m0) cond lsv sm = seval_condition (Bctx ge' stk' f' sp rs0 m0) cond lsv sm. -Proof. - unfold seval_condition. - rewrite list_sval_eval_preserved. destruct (eval_list_sval _ _); auto. - rewrite smem_eval_preserved; auto. -Qed. - -End SymbValPreserved. +Qed.
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