blob: f79b253329f498fb227e3aad0c36664bb8d8d6ae (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
|
(**************************************************************************)
(* *)
(* 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 k :=
match goal with
| [ H : ?P |- _ ] =>
let T := type of P in
lazymatch T with
| Prop =>
lazymatch P with
| id _ => fail
| _ =>
change P with (id P) in H;
match acc with
| Some ?t => get_hyps_acc (Some (H, t)) k
| None => get_hyps_acc (Some H) k
end
end
| _ => fail
end
| _ => k 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 k := get_hyps_acc (@None nat) ltac:(fun Hs => eliminate_id; k Hs).
Section Test.
Variable A : Type.
Hypothesis H1 : forall a:A, a = a.
Variable n : Z.
Hypothesis H2 : n = 17%Z.
Goal True.
Proof.
(* get_hyps ltac:(fun acc => idtac acc). *)
Abort.
End Test.
(** Tactics in bool *)
Tactic Notation "verit_bool_base_auto" constr(h) := verit_bool_base h; auto with typeclass_instances.
Tactic Notation "verit_bool_no_check_base_auto" constr(h) := verit_bool_no_check_base h; auto with typeclass_instances.
Tactic Notation "verit_bool" constr(h) :=
get_hyps ltac:(fun Hs =>
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" :=
get_hyps ltac:(fun Hs => verit_bool_base_auto Hs; vauto).
Tactic Notation "verit_bool_no_check" constr(h) :=
get_hyps ltac:(fun Hs =>
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" :=
get_hyps ltac:(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;
[ .. | get_hyps ltac:(fun Hs =>
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;
[ .. | get_hyps ltac:(fun Hs =>
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;
[ .. | get_hyps ltac:(fun Hs =>
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;
[ .. | get_hyps ltac:(fun Hs =>
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:
*)
|
