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author | Yann Herklotz <git@yannherklotz.com> | 2021-02-16 14:11:32 +0000 |
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committer | Yann Herklotz <git@yannherklotz.com> | 2021-02-16 14:11:32 +0000 |
commit | 6a395495bd35bb7d4d2cc7d3271c9b588d466594 (patch) | |
tree | 0fcc285046352b9f677454eac3224ce5a90ba48e /src/hls/Veriloggenproof.v | |
parent | 5f1e7aa8fbc4a0e04d0b137410c13f3d8da4d987 (diff) | |
parent | b5c79cb4913087a0e4b577b5dff616fc88ee938b (diff) | |
download | vericert-6a395495bd35bb7d4d2cc7d3271c9b588d466594.tar.gz vericert-6a395495bd35bb7d4d2cc7d3271c9b588d466594.zip |
Merge branch 'michalis' of https://github.com/mpardalos/vericert into michalis-merge
Diffstat (limited to 'src/hls/Veriloggenproof.v')
-rw-r--r-- | src/hls/Veriloggenproof.v | 71 |
1 files changed, 57 insertions, 14 deletions
diff --git a/src/hls/Veriloggenproof.v b/src/hls/Veriloggenproof.v index 9abbd4b..59267f7 100644 --- a/src/hls/Veriloggenproof.v +++ b/src/hls/Veriloggenproof.v @@ -17,14 +17,18 @@ *) From compcert Require Import Smallstep Linking Integers Globalenvs. +From compcert Require Errors. From vericert Require HTL. From vericert Require Import Vericertlib Veriloggen Verilog ValueInt AssocMap. Require Import Lia. + Local Open Scope assocmap. Definition match_prog (prog : HTL.program) (tprog : Verilog.program) := - match_program (fun cu f tf => tf = transl_fundef f) eq prog tprog. + match_program (fun cu f tf => Errors.OK tf = transl_fundef prog f) eq prog tprog. + +(* Lemma transf_program_match: forall prog, match_prog prog (transl_program prog). @@ -97,19 +101,31 @@ Proof. intros. unfold posToValue. rewrite Int.unsigned_repr; lia. Qed. -Lemma transl_list_fun_fst : +Lemma transl_ctrl_fun_fst : forall p1 p2 a b, 0 <= Z.pos p1 <= Int.max_unsigned -> 0 <= Z.pos p2 <= Int.max_unsigned -> - transl_list_fun (p1, a) = transl_list_fun (p2, b) -> + transl_ctrl_fun (p1, a) = transl_ctrl_fun (p2, b) -> (p1, a) = (p2, b). Proof. - intros. unfold transl_list_fun in H1. apply pair_equal_spec in H1. + intros. unfold transl_ctrl_fun in H1. apply pair_equal_spec in H1. destruct H1. rewrite H2. apply Vlit_inj in H1. apply posToValue_inj in H1; try assumption. rewrite H1; auto. Qed. +Lemma transl_data_fun_fst : + forall p1 p2 a b, + 0 <= Z.pos p1 <= Int.max_unsigned -> + 0 <= Z.pos p2 <= Int.max_unsigned -> + transl_datapath_fun (p1, a) = transl_datapath_fun (p2, b) -> + p1 = p2. +Proof. + intros. + unfold transl_datapath_fun in H1. apply pair_equal_spec in H1. destruct H1. + apply Vlit_inj in H1. apply posToValue_inj in H1; assumption. +Qed. + Lemma Zle_relax : forall p q r, p < q <= r -> @@ -121,7 +137,7 @@ Lemma transl_in : forall l p, 0 <= Z.pos p <= Int.max_unsigned -> (forall p0, In p0 (List.map fst l) -> 0 < Z.pos p0 <= Int.max_unsigned) -> - In (Vlit (posToValue p)) (map fst (map transl_list_fun l)) -> + In (Vlit (posToValue p)) (map fst (map transl_ctrl_fun l)) -> In p (map fst l). Proof. induction l. @@ -136,12 +152,12 @@ Lemma transl_notin : forall l p, 0 <= Z.pos p <= Int.max_unsigned -> (forall p0, In p0 (List.map fst l) -> 0 < Z.pos p0 <= Int.max_unsigned) -> - ~ In p (List.map fst l) -> ~ In (Vlit (posToValue p)) (List.map fst (transl_list l)). + ~ In p (List.map fst l) -> ~ In (Vlit (posToValue p)) (List.map fst (transl_ctrl l)). Proof. induction l; auto. intros. destruct a. unfold not in *. intros. simplify. destruct (peq p0 p). apply H1. auto. apply H1. - unfold transl_list in *. inv H2. apply Vlit_inj in H. apply posToValue_inj in H. + unfold transl_ctrl in *. inv H2. apply Vlit_inj in H. apply posToValue_inj in H. contradiction. auto with verilogproof. auto. right. apply transl_in; auto. @@ -150,7 +166,7 @@ Qed. Lemma transl_norepet : forall l, (forall p0, In p0 (List.map fst l) -> 0 < Z.pos p0 <= Int.max_unsigned) -> - list_norepet (List.map fst l) -> list_norepet (List.map fst (transl_list l)). + list_norepet (List.map fst l) -> list_norepet (List.map fst (transl_ctrl l)). Proof. induction l. - intros. simpl. apply list_norepet_nil. @@ -161,7 +177,7 @@ Proof. simplify. inv H0. assumption. Qed. -Lemma transl_list_correct : +Lemma transl_ctrl_correct : forall l v ev f asr asa asrn asan asr' asa' asrn' asan', (forall p0, In p0 (List.map fst l) -> 0 < Z.pos p0 <= Int.max_unsigned) -> list_norepet (List.map fst l) -> @@ -178,7 +194,7 @@ Lemma transl_list_correct : stmnt_runp f {| assoc_blocking := asr; assoc_nonblocking := asrn |} {| assoc_blocking := asa; assoc_nonblocking := asan |} - (Vcase (Vvar ev) (transl_list l) (Some Vskip)) + (Vcase (Vvar ev) (transl_ctrl l) (Some Vskip)) {| assoc_blocking := asr'; assoc_nonblocking := asrn' |} {| assoc_blocking := asa'; assoc_nonblocking := asan' |}). Proof. @@ -202,7 +218,30 @@ Proof. eapply IHl. auto. inv NOREP. auto. eassumption. inv IN. inv H. contradiction. apply H. trivial. assumption. Qed. -Hint Resolve transl_list_correct : verilogproof. +Hint Resolve transl_ctrl_correct : verilogproof. + +(* FIXME Probably wrong we probably need some statemnt about datapath_statement_runp *) +Lemma transl_datapath_correct : + forall l v ev f asr asa asrn asan asr' asa' asrn' asan', + (forall p0, In p0 (List.map fst l) -> 0 < Z.pos p0 <= Int.max_unsigned) -> + list_norepet (List.map fst l) -> + asr!ev = Some v -> + (forall p s, + In (p, s) l -> + v = posToValue p -> + stmnt_runp f + {| assoc_blocking := asr; assoc_nonblocking := asrn |} + {| assoc_blocking := asa; assoc_nonblocking := asan |} + s + {| assoc_blocking := asr'; assoc_nonblocking := asrn' |} + {| assoc_blocking := asa'; assoc_nonblocking := asan' |} -> + stmnt_runp f + {| assoc_blocking := asr; assoc_nonblocking := asrn |} + {| assoc_blocking := asa; assoc_nonblocking := asan |} + (Vcase (Vvar ev) (transl_ctrl l) (Some Vskip)) + {| assoc_blocking := asr'; assoc_nonblocking := asrn' |} + {| assoc_blocking := asa'; assoc_nonblocking := asan' |}). +Proof. Admitted. Lemma pc_wf : forall A m p v, @@ -288,7 +327,7 @@ Section CORRECTNESS. econstructor. simpl. auto. auto. - eapply transl_list_correct. + eapply transl_ctrl_correct. intros. split. lia. pose proof (HTL.mod_wf m) as HP. destruct HP as [HP _]. auto. apply Maps.PTree.elements_keys_norepet. eassumption. 2: { apply valueToPos_inj. apply unsigned_posToValue_le. @@ -302,6 +341,8 @@ Section CORRECTNESS. econstructor. econstructor. + { admit. + (* eapply transl_list_correct. intros. split. lia. pose proof (HTL.mod_wf m) as HP. destruct HP as [_ HP]. auto. apply Maps.PTree.elements_keys_norepet. eassumption. @@ -313,10 +354,11 @@ Section CORRECTNESS. split. lia. apply HP. eassumption. eassumption. trivial. } apply Maps.PTree.elements_correct. eassumption. eassumption. + *) + } apply mis_stepp_decl. trivial. trivial. simpl. eassumption. auto. rewrite valueToPos_posToValue. constructor; assumption. lia. - - econstructor; split. apply Smallstep.plus_one. apply step_finish. assumption. eassumption. constructor; assumption. - econstructor; split. apply Smallstep.plus_one. constructor. @@ -325,7 +367,7 @@ Section CORRECTNESS. - inv H3. econstructor; split. apply Smallstep.plus_one. constructor. trivial. apply match_state. assumption. - Qed. + Admitted. Hint Resolve transl_step_correct : verilogproof. Lemma transl_initial_states : @@ -366,3 +408,4 @@ Section CORRECTNESS. Qed. End CORRECTNESS. +*) |