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-rw-r--r--src/Tactics.v204
1 files changed, 80 insertions, 124 deletions
diff --git a/src/Tactics.v b/src/Tactics.v
index 5be62cc..685cfdb 100644
--- a/src/Tactics.v
+++ b/src/Tactics.v
@@ -10,148 +10,104 @@
(**************************************************************************)
-Require Import PropToBool.
+From Trakt Require Import Trakt.
+Require Import Conversion.
Require Import Int63 List PArray Bool ZArith.
Require Import SMTCoq.State SMTCoq.SMT_terms SMTCoq.Trace SMT_classes_instances QInst.
Declare ML Module "smtcoq_plugin".
-(** Collect all the hypotheses from the context *)
-
-Ltac get_hyps_acc acc :=
- match goal with
- | [ H : ?P |- _ ] =>
- let T := type of P in
- lazymatch T with
- | Prop =>
- lazymatch P with
- | id _ => fail
- | _ =>
- let _ := match goal with _ => change P with (id P) in H end in
- match acc with
- | Some ?t => get_hyps_acc (Some (H, t))
- | None => get_hyps_acc (Some H)
- end
- end
- | _ => fail
- end
- | _ => acc
- end.
-
-Ltac eliminate_id :=
- repeat match goal with
- | [ H : ?P |- _ ] =>
- lazymatch P with
- | id ?Q => change P with Q in H
- | _ => fail
- end
- end.
-
-Ltac get_hyps :=
- let Hs := get_hyps_acc (@None nat) in
- let _ := match goal with _ => eliminate_id end in
- Hs.
-
-
-(* Section Test. *)
-(* Variable A : Type. *)
-(* Hypothesis H1 : forall a:A, a = a. *)
-(* Variable n : Z. *)
-(* Hypothesis H2 : n = 17%Z. *)
-
-(* Goal True. *)
-(* Proof. *)
-(* let Hs := get_hyps in idtac Hs. *)
-(* Abort. *)
-(* End Test. *)
-
-
-(** Tactics in bool *)
+Ltac zchaff := trakt Z bool; Tactics.zchaff_bool.
+Ltac zchaff_no_check := trakt Z bool; Tactics.zchaff_bool_no_check.
Tactic Notation "verit_bool_base_auto" constr(h) := verit_bool_base h; try (exact _).
Tactic Notation "verit_bool_no_check_base_auto" constr(h) := verit_bool_no_check_base h; try (exact _).
-Tactic Notation "verit_bool" constr(h) :=
- let Hs := get_hyps in
- match Hs with
- | Some ?Hs => verit_bool_base_auto (Some (h, Hs))
- | None => verit_bool_base_auto (Some h)
- end;
- vauto.
-Tactic Notation "verit_bool" :=
- let Hs := get_hyps in
- verit_bool_base_auto Hs; vauto.
-
-Tactic Notation "verit_bool_no_check" constr(h) :=
- let Hs := get_hyps in
- match Hs with
- | Some ?Hs => verit_bool_no_check_base_auto (Some (h, Hs))
- | None => verit_bool_no_check_base_auto (Some h)
- end;
- vauto.
-Tactic Notation "verit_bool_no_check" :=
- let Hs := get_hyps in
- fun Hs => verit_bool_no_check_base_auto Hs; vauto.
-
-
-(** Tactics in Prop **)
-
-Ltac zchaff := prop2bool; zchaff_bool; bool2prop.
-Ltac zchaff_no_check := prop2bool; zchaff_bool_no_check; bool2prop.
-
-Tactic Notation "verit" constr(h) :=
- prop2bool;
- [ .. | prop2bool_hyps h;
- [ .. | let Hs := get_hyps in
- match Hs with
- | Some ?Hs =>
- prop2bool_hyps Hs;
- [ .. | verit_bool_base_auto (Some (h, Hs)) ]
- | None => verit_bool_base_auto (Some h)
- end; vauto
- ]
+Tactic Notation "verit" constr(global) :=
+ intros;
+ unfold is_true in *;
+ let Hsglob := pose_hyps global (@None unit) in
+ let local := get_hyps_option in
+ let Hs :=
+ lazymatch local with
+ | Some ?local' => pose_hyps local' Hsglob
+ | None => constr:(Hsglob)
+ end
+ in
+ preprocess1 Hs;
+ [ .. |
+ let Hs' := intros_names in
+ preprocess2 Hs';
+ verit_bool_base_auto Hs';
+ QInst.vauto
].
+
Tactic Notation "verit" :=
- prop2bool;
- [ .. | let Hs := get_hyps in
- match Hs with
- | Some ?Hs =>
- prop2bool_hyps Hs;
- [ .. | verit_bool_base_auto (Some Hs) ]
- | None => verit_bool_base_auto (@None nat)
- end; vauto
+ intros;
+ unfold is_true in *;
+ let local := get_hyps_option in
+ let Hs :=
+ lazymatch local with
+ | Some ?local' => pose_hyps local' (@None unit)
+ | None => constr:(@None unit)
+ end
+ in
+ preprocess1 Hs;
+ [ .. |
+ let Hs' := intros_names in
+ preprocess2 Hs';
+ verit_bool_base_auto Hs';
+ QInst.vauto
].
-Tactic Notation "verit_no_check" constr(h) :=
- prop2bool;
- [ .. | prop2bool_hyps h;
- [ .. | let Hs := get_hyps in
- match Hs with
- | Some ?Hs =>
- prop2bool_hyps Hs;
- [ .. | verit_bool_no_check_base_auto (Some (h, Hs)) ]
- | None => verit_bool_no_check_base_auto (Some h)
- end; vauto
- ]
+
+Tactic Notation "verit_no_check" constr(global) :=
+ intros;
+ unfold is_true in *;
+ let Hsglob := pose_hyps global (@None unit) in
+ let local := get_hyps_option in
+ let Hs :=
+ lazymatch local with
+ | Some ?local' => pose_hyps local' Hsglob
+ | None => constr:(Hsglob)
+ end
+ in
+ preprocess1 Hs;
+ [ .. |
+ let Hs' := intros_names in
+ preprocess2 Hs';
+ verit_bool_no_check_base_auto Hs';
+ QInst.vauto
].
+
Tactic Notation "verit_no_check" :=
- prop2bool;
- [ .. | let Hs := get_hyps in
- match Hs with
- | Some ?Hs =>
- prop2bool_hyps Hs;
- [ .. | verit_bool_no_check_base_auto (Some Hs) ]
- | None => verit_bool_no_check_base_auto (@None nat)
- end; vauto
+ intros;
+ unfold is_true in *;
+ let local := get_hyps_option in
+ let Hs :=
+ lazymatch local with
+ | Some ?local' => pose_hyps local' (@None unit)
+ | None => constr:(@None unit)
+ end
+ in
+ preprocess1 Hs;
+ [ .. |
+ let Hs' := intros_names in
+ preprocess2 Hs';
+ verit_bool_no_check_base_auto Hs';
+ QInst.vauto
].
-Ltac cvc4 := prop2bool; [ .. | cvc4_bool; bool2prop ].
-Ltac cvc4_no_check := prop2bool; [ .. | cvc4_bool_no_check; bool2prop ].
+Ltac cvc4 := trakt Z bool; [ .. | cvc4_bool ].
+Ltac cvc4_no_check := trakt Z bool; [ .. | cvc4_bool_no_check ].
+
+Tactic Notation "smt" constr(h) := intros; try verit h; cvc4; try verit h.
+Tactic Notation "smt" := intros; try verit ; cvc4; try verit.
+Tactic Notation "smt_no_check" constr(h) :=
+ intros; try verit_no_check h; cvc4_no_check; try verit_no_check h.
+Tactic Notation "smt_no_check" :=
+ intros; try verit_no_check ; cvc4_no_check; try verit_no_check.
-Tactic Notation "smt" constr(h) := (prop2bool; [ .. | try verit h; cvc4_bool; try verit h; bool2prop ]).
-Tactic Notation "smt" := (prop2bool; [ .. | try verit ; cvc4_bool; try verit ; bool2prop ]).
-Tactic Notation "smt_no_check" constr(h) := (prop2bool; [ .. | try verit_no_check h; cvc4_bool_no_check; try verit_no_check h; bool2prop]).
-Tactic Notation "smt_no_check" := (prop2bool; [ .. | try verit_no_check ; cvc4_bool_no_check; try verit_no_check ; bool2prop]).