diff options
Diffstat (limited to 'backend/CSE3analysisproof.v')
| -rw-r--r-- | backend/CSE3analysisproof.v | 47 |
1 files changed, 34 insertions, 13 deletions
diff --git a/backend/CSE3analysisproof.v b/backend/CSE3analysisproof.v index 3ea5e078..c65a6d9e 100644 --- a/backend/CSE3analysisproof.v +++ b/backend/CSE3analysisproof.v @@ -778,15 +778,25 @@ Section SOUNDNESS. intros until v. intros REL RHS. unfold oper. - destruct rhs_find as [src |] eqn:RHS_FIND. - - apply sem_rel_glb; split. - + pose proof (rhs_find_sound no sop (forward_move_l (ctx:=ctx) rel args) rel src rs m REL RHS_FIND) as SOUND. - eapply forward_move_rhs_sound in RHS. - 2: eassumption. - rewrite <- (sem_rhs_det SOUND RHS). - apply move_sound; auto. + destruct (is_smove sop). + - subst. + simpl in RHS. + destruct args. contradiction. + destruct args. 2: contradiction. + cbn in *. + subst. + rewrite <- (forward_move_sound rel rs m r) by auto. + apply move_sound; auto. + - destruct rhs_find as [src |] eqn:RHS_FIND. + + (* FIXME apply sem_rel_glb; split. *) + * pose proof (rhs_find_sound no sop (forward_move_l (ctx:=ctx) rel args) rel src rs m REL RHS_FIND) as SOUND. + eapply forward_move_rhs_sound in RHS. + 2: eassumption. + rewrite <- (sem_rhs_det SOUND RHS). + apply move_sound; auto. + (* FIXME * apply oper1_sound; auto. *) + apply oper1_sound; auto. - - apply oper1_sound; auto. + apply forward_move_rhs_sound; auto. Qed. Hint Resolve oper_sound : cse3. @@ -907,6 +917,17 @@ Section SOUNDNESS. Hint Resolve kill_builtin_res_sound : cse3. + Lemma top_sound: + forall rs m, (sem_rel RELATION.top rs m). + Proof. + unfold RELATION.top, sem_rel. + intros. + rewrite PSet.gempty in H. + discriminate. + Qed. + + Hint Resolve top_sound : cse3. + Lemma external_call_sound: forall ge ef (rel : RELATION.t) (m m' : mem) (rs : regset) vargs t vres (REL : sem_rel rel rs m) @@ -916,11 +937,11 @@ Section SOUNDNESS. destruct ef; intros; simpl in *. all: eauto using kill_mem_sound. all: unfold builtin_or_external_sem in *. - 1, 2: destruct (Builtins.lookup_builtin_function name sg); - eauto using kill_mem_sound; - inv CALL; eauto using kill_mem_sound. - all: inv CALL. - all: eauto using kill_mem_sound. + 1, 2, 3, 5, 6: destruct (Compopts.optim_CSE3_across_calls tt). + all: eauto using kill_mem_sound, top_sound. + 1, 2, 3: destruct (Builtins.lookup_builtin_function name sg). + all: eauto using kill_mem_sound, top_sound. + all: inv CALL; eauto using kill_mem_sound. Qed. Hint Resolve external_call_sound : cse3. |