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(**************************************************************************)
(* *)
(* SMTCoq *)
(* Copyright (C) 2011 - 2021 *)
(* *)
(* See file "AUTHORS" for the list of authors *)
(* *)
(* This file is distributed under the terms of the CeCILL-C licence *)
(* *)
(**************************************************************************)
Require Import PropToBool.
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 *)
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" :=
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
].
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" :=
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
].
Ltac cvc4 := prop2bool; [ .. | cvc4_bool; bool2prop ].
Ltac cvc4_no_check := prop2bool; [ .. | cvc4_bool_no_check; bool2prop ].
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]).
(*
Local Variables:
coq-load-path: ((rec "." "SMTCoq"))
End:
*)
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