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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* Certification of Imperative Programs / Jean-Christophe Filliâtre *)
(* $Id: ptype.mli 5920 2004-07-16 20:01:26Z herbelin $ *)
open Term
(* Types des valeurs (V) et des calculs (C).
*
* On a C = r:V,E,P,Q
*
* et V = (x1:V1)...(xn:Vn)C | V ref | V array | <type pur>
*
* INVARIANT: l'effet E contient toutes les variables apparaissant dans
* le programme ET les annotations P et Q
* Si E = { x1,...,xn | y1,...,ym }, les variables x sont les
* variables en lecture seule et y1 les variables modifiées
* les xi sont libres dans P et Q, et les yi,result liées dans Q
* i.e. P = p(x)
* et Q = [y1]...[yn][res]q(x,y,res)
*)
(* pre and post conditions *)
type 'a precondition = { p_assert : bool; p_name : Names.name; p_value : 'a }
type 'a assertion = { a_name : Names.name; a_value : 'a }
type 'a postcondition = 'a assertion
type predicate = constr assertion
(* binders *)
type 'a binder_type =
BindType of 'a
| BindSet
| Untyped
type 'a binder = Names.identifier * 'a binder_type
(* variant *)
type variant = constr * constr * constr (* phi, R, A *)
(* types des valeurs *)
type 'a ml_type_v =
Ref of 'a ml_type_v
| Array of 'a * 'a ml_type_v (* size x type *)
| Arrow of 'a ml_type_v binder list * 'a ml_type_c
| TypePure of 'a
(* et type des calculs *)
and 'a ml_type_c =
(Names.identifier * 'a ml_type_v)
* Peffect.t
* ('a precondition list) * ('a postcondition option)
(* at beginning they contain Coq AST but they become constr after typing *)
type type_v = constr ml_type_v
type type_c = constr ml_type_c
|