blob: 6dc5d9f7e5de85866567fa52740a078ddbf1a053 (
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
|
(*************************************************************************
PROJET RNRT Calife - 2001
Author: Pierre Crégut - France Télécom R&D
Licence : LGPL version 2.1
*************************************************************************)
open API
(** Coq objects used in romega *)
(* from Logic *)
val coq_refl_equal : Term.constr lazy_t
val coq_and : Term.constr lazy_t
val coq_not : Term.constr lazy_t
val coq_or : Term.constr lazy_t
val coq_True : Term.constr lazy_t
val coq_False : Term.constr lazy_t
val coq_I : Term.constr lazy_t
(* from ReflOmegaCore/ZOmega *)
val coq_t_int : Term.constr lazy_t
val coq_t_plus : Term.constr lazy_t
val coq_t_mult : Term.constr lazy_t
val coq_t_opp : Term.constr lazy_t
val coq_t_minus : Term.constr lazy_t
val coq_t_var : Term.constr lazy_t
val coq_proposition : Term.constr lazy_t
val coq_p_eq : Term.constr lazy_t
val coq_p_leq : Term.constr lazy_t
val coq_p_geq : Term.constr lazy_t
val coq_p_lt : Term.constr lazy_t
val coq_p_gt : Term.constr lazy_t
val coq_p_neq : Term.constr lazy_t
val coq_p_true : Term.constr lazy_t
val coq_p_false : Term.constr lazy_t
val coq_p_not : Term.constr lazy_t
val coq_p_or : Term.constr lazy_t
val coq_p_and : Term.constr lazy_t
val coq_p_imp : Term.constr lazy_t
val coq_p_prop : Term.constr lazy_t
val coq_s_bad_constant : Term.constr lazy_t
val coq_s_divide : Term.constr lazy_t
val coq_s_not_exact_divide : Term.constr lazy_t
val coq_s_sum : Term.constr lazy_t
val coq_s_merge_eq : Term.constr lazy_t
val coq_s_split_ineq : Term.constr lazy_t
val coq_direction : Term.constr lazy_t
val coq_d_left : Term.constr lazy_t
val coq_d_right : Term.constr lazy_t
val coq_e_split : Term.constr lazy_t
val coq_e_extract : Term.constr lazy_t
val coq_e_solve : Term.constr lazy_t
val coq_interp_sequent : Term.constr lazy_t
val coq_do_omega : Term.constr lazy_t
val mk_nat : int -> Term.constr
val mk_N : int -> Term.constr
(** Precondition: the type of the list is in Set *)
val mk_list : Term.constr -> Term.constr list -> Term.constr
val mk_plist : Term.types list -> Term.types
(** Analyzing a coq term *)
(* The generic result shape of the analysis of a term.
One-level depth, except when a number is found *)
type parse_term =
Tplus of Term.constr * Term.constr
| Tmult of Term.constr * Term.constr
| Tminus of Term.constr * Term.constr
| Topp of Term.constr
| Tsucc of Term.constr
| Tnum of Bigint.bigint
| Tother
(* The generic result shape of the analysis of a relation.
One-level depth. *)
type parse_rel =
Req of Term.constr * Term.constr
| Rne of Term.constr * Term.constr
| Rlt of Term.constr * Term.constr
| Rle of Term.constr * Term.constr
| Rgt of Term.constr * Term.constr
| Rge of Term.constr * Term.constr
| Rtrue
| Rfalse
| Rnot of Term.constr
| Ror of Term.constr * Term.constr
| Rand of Term.constr * Term.constr
| Rimp of Term.constr * Term.constr
| Riff of Term.constr * Term.constr
| Rother
(* A module factorizing what we should now about the number representation *)
module type Int =
sig
(* the coq type of the numbers *)
val typ : Term.constr Lazy.t
(* the operations on the numbers *)
val plus : Term.constr Lazy.t
val mult : Term.constr Lazy.t
val opp : Term.constr Lazy.t
val minus : Term.constr Lazy.t
(* building a coq number *)
val mk : Bigint.bigint -> Term.constr
(* parsing a term (one level, except if a number is found) *)
val parse_term : Term.constr -> parse_term
(* parsing a relation expression, including = < <= >= > *)
val parse_rel : [ `NF ] Proofview.Goal.t -> Term.constr -> parse_rel
(* Is a particular term only made of numbers and + * - ? *)
val get_scalar : Term.constr -> Bigint.bigint option
end
(* Currently, we only use Z numbers *)
module Z : Int
|