diff options
Diffstat (limited to 'arm/Asmgenproof.v')
| -rw-r--r-- | arm/Asmgenproof.v | 26 |
1 files changed, 14 insertions, 12 deletions
diff --git a/arm/Asmgenproof.v b/arm/Asmgenproof.v index a592e12a..93e0c6c2 100644 --- a/arm/Asmgenproof.v +++ b/arm/Asmgenproof.v @@ -68,7 +68,7 @@ Lemma transf_function_no_overflow: forall f tf, transf_function f = OK tf -> list_length_z (fn_code tf) <= Ptrofs.max_unsigned. Proof. - intros. monadInv H. destruct (zlt Ptrofs.max_unsigned (list_length_z (fn_code x))); inv EQ0. omega. + intros. monadInv H. destruct (zlt Ptrofs.max_unsigned (list_length_z (fn_code x))); inv EQ0. lia. Qed. Lemma exec_straight_exec: @@ -122,13 +122,13 @@ Proof. case (is_label lbl a). intro EQ; injection EQ; intro; subst c'. exists (pos + 1). split. auto. split. - replace (pos + 1 - pos) with (0 + 1) by omega. constructor. constructor. - rewrite list_length_z_cons. generalize (list_length_z_pos c). omega. + replace (pos + 1 - pos) with (0 + 1) by lia. constructor. constructor. + rewrite list_length_z_cons. generalize (list_length_z_pos c). lia. intros. generalize (IHc (pos + 1) c' H). intros [pos' [A [B C]]]. exists pos'. split. auto. split. - replace (pos' - pos) with ((pos' - (pos + 1)) + 1) by omega. + replace (pos' - pos) with ((pos' - (pos + 1)) + 1) by lia. constructor. auto. - rewrite list_length_z_cons. omega. + rewrite list_length_z_cons. lia. Qed. (** The following lemmas show that the translation from Mach to ARM @@ -378,8 +378,8 @@ Proof. split. unfold goto_label. rewrite P. rewrite H1. auto. split. rewrite Pregmap.gss. constructor; auto. rewrite Ptrofs.unsigned_repr. replace (pos' - 0) with pos' in Q. - auto. omega. - generalize (transf_function_no_overflow _ _ H0). omega. + auto. lia. + generalize (transf_function_no_overflow _ _ H0). lia. intros. apply Pregmap.gso; auto. Qed. @@ -754,13 +754,15 @@ Opaque loadind. econstructor; eauto. instantiate (2 := tf); instantiate (1 := x). unfold nextinstr. rewrite Pregmap.gss. - rewrite set_res_other. rewrite undef_regs_other_2. + rewrite set_res_other. simpl. rewrite undef_regs_other_2. + rewrite Pregmap.gso by auto with asmgen. rewrite <- H1. simpl. econstructor; eauto. eapply code_tail_next_int; eauto. rewrite preg_notin_charact. intros. auto with asmgen. auto with asmgen. apply agree_nextinstr. eapply agree_set_res; auto. - eapply agree_undef_regs; eauto. intros; apply undef_regs_other_2; auto. + eapply agree_undef_regs; eauto. + intros. simpl. rewrite undef_regs_other_2; auto. apply Pregmap.gso. auto with asmgen. congruence. - (* Mgoto *) @@ -901,11 +903,11 @@ Opaque loadind. simpl; reflexivity. reflexivity. } (* After the function prologue is the code for the function body *) - exploit exec_straight_steps_2; eauto using functions_transl. omega. constructor. + exploit exec_straight_steps_2; eauto using functions_transl. lia. constructor. intros (ofsbody & U & V). (* Conclusions *) left; exists (State rs4 m3'); split. - eapply exec_straight_steps_1; eauto. omega. constructor. + eapply exec_straight_steps_1; eauto. lia. constructor. econstructor; eauto. rewrite U. econstructor; eauto. apply agree_nextinstr. apply agree_undef_regs2 with rs2. @@ -932,7 +934,7 @@ Opaque loadind. - (* return *) inv STACKS. simpl in *. - right. split. omega. split. auto. + right. split. lia. split. auto. rewrite <- ATPC in H5. econstructor; eauto. congruence. Qed. |