blob: c427055a413e389439910dff2f4bee96adbf910d (
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
|
(************************************************************************)
(* 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 *)
(************************************************************************)
(*i $Id: typeops.mli 10877 2008-04-30 21:58:41Z herbelin $ i*)
(*i*)
open Names
open Univ
open Term
open Environ
open Entries
open Declarations
(*i*)
(*s Typing functions (not yet tagged as safe) *)
val infer : env -> constr -> unsafe_judgment * constraints
val infer_v : env -> constr array -> unsafe_judgment array * constraints
val infer_type : env -> types -> unsafe_type_judgment * constraints
val infer_local_decls :
env -> (identifier * local_entry) list
-> env * Sign.rel_context * constraints
(*s Basic operations of the typing machine. *)
(* If [j] is the judgement $c:t$, then [assumption_of_judgement env j]
returns the type $c$, checking that $t$ is a sort. *)
val assumption_of_judgment : env -> unsafe_judgment -> types
val type_judgment : env -> unsafe_judgment -> unsafe_type_judgment
(*s Type of sorts. *)
val judge_of_prop_contents : contents -> unsafe_judgment
val judge_of_type : universe -> unsafe_judgment
(*s Type of a bound variable. *)
val judge_of_relative : env -> int -> unsafe_judgment
(*s Type of variables *)
val judge_of_variable : env -> variable -> unsafe_judgment
(*s type of a constant *)
val judge_of_constant : env -> constant -> unsafe_judgment
val judge_of_constant_knowing_parameters :
env -> constant -> unsafe_judgment array -> unsafe_judgment
(*s Type of application. *)
val judge_of_apply :
env -> unsafe_judgment -> unsafe_judgment array
-> unsafe_judgment * constraints
(*s Type of an abstraction. *)
val judge_of_abstraction :
env -> name -> unsafe_type_judgment -> unsafe_judgment
-> unsafe_judgment
(*s Type of a product. *)
val judge_of_product :
env -> name -> unsafe_type_judgment -> unsafe_type_judgment
-> unsafe_judgment
(* s Type of a let in. *)
val judge_of_letin :
env -> name -> unsafe_judgment -> unsafe_type_judgment -> unsafe_judgment
-> unsafe_judgment
(*s Type of a cast. *)
val judge_of_cast :
env -> unsafe_judgment -> cast_kind -> unsafe_type_judgment ->
unsafe_judgment * constraints
(*s Inductive types. *)
val judge_of_inductive : env -> inductive -> unsafe_judgment
val judge_of_inductive_knowing_parameters :
env -> inductive -> unsafe_judgment array -> unsafe_judgment
val judge_of_constructor : env -> constructor -> unsafe_judgment
(*s Type of Cases. *)
val judge_of_case : env -> case_info
-> unsafe_judgment -> unsafe_judgment -> unsafe_judgment array
-> unsafe_judgment * constraints
(* Typecheck general fixpoint (not checking guard conditions) *)
val type_fixpoint : env -> name array -> types array
-> unsafe_judgment array -> constraints
(* Kernel safe typing but applicable to partial proofs *)
val typing : env -> constr -> unsafe_judgment
val type_of_constant : env -> constant -> types
val type_of_constant_type : env -> constant_type -> types
val type_of_constant_knowing_parameters :
env -> constant_type -> constr array -> types
(* Make a type polymorphic if an arity *)
val make_polymorphic_if_constant_for_ind : env -> unsafe_judgment ->
constant_type
|