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
|
(***********************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
(* \VV/ *************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(***********************************************************************)
(* $Id$ *)
(*i*)
open Util
open Names
open Sign
open Term
open Nametab
(*i*)
(* Untyped intermediate terms, after ASTs and before constr. *)
type loc = int * int
(* locs here refers to the ident's location, not whole pat *)
(* the last argument of PatCstr is a possible alias ident for the pattern *)
type cases_pattern =
| PatVar of loc * name
| PatCstr of loc * constructor * cases_pattern list * name
type rawsort = RProp of Term.contents | RType of Univ.universe option
type fix_kind = RFix of (int array * int) | RCoFix of int
type binder_kind = BProd | BLambda | BLetIn
type quantified_hypothesis = AnonHyp of int | NamedHyp of identifier
type 'a explicit_substitution = (quantified_hypothesis * 'a) list
type 'a substitution =
| ImplicitBindings of 'a list
| ExplicitBindings of 'a explicit_substitution
| NoBindings
type 'a with_bindings = 'a * 'a substitution
type hole_kind =
| ImplicitArg of global_reference * int
| AbstractionType of name
| QuestionMark
| CasesType
| InternalHole
type 'ctxt reference =
| RConst of constant * 'ctxt
| RInd of inductive * 'ctxt
| RConstruct of constructor * 'ctxt
| RVar of identifier
| REVar of int * 'ctxt
type rawconstr =
| RRef of loc * global_reference
| RVar of loc * identifier
| REvar of loc * existential_key
| RMeta of loc * int
| RApp of loc * rawconstr * rawconstr list
| RLambda of loc * name * rawconstr * rawconstr
| RProd of loc * name * rawconstr * rawconstr
| RLetIn of loc * name * rawconstr * rawconstr
| RCases of loc * Term.case_style * rawconstr option * rawconstr list *
(loc * identifier list * cases_pattern list * rawconstr) list
| ROldCase of loc * bool * rawconstr option * rawconstr *
rawconstr array
| RRec of loc * fix_kind * identifier array *
rawconstr array * rawconstr array
| RSort of loc * rawsort
| RHole of (loc * hole_kind)
| RCast of loc * rawconstr * rawconstr
| RDynamic of loc * Dyn.t
(*i - if PRec (_, names, arities, bodies) is in env then arities are
typed in env too and bodies are typed in env enriched by the
arities incrementally lifted
[On pourrait plutot mettre les arités aves le type qu'elles auront
dans le contexte servant à typer les body ???]
- boolean in POldCase means it is recursive
i*)
let dummy_loc = (0,0)
let loc_of_rawconstr = function
| RRef (loc,_) -> loc
| RVar (loc,_) -> loc
| REvar (loc,_) -> loc
| RMeta (loc,_) -> loc
| RApp (loc,_,_) -> loc
| RLambda (loc,_,_,_) -> loc
| RProd (loc,_,_,_) -> loc
| RLetIn (loc,_,_,_) -> loc
| RCases (loc,_,_,_,_) -> loc
| ROldCase (loc,_,_,_,_) -> loc
| RRec (loc,_,_,_,_) -> loc
| RSort (loc,_) -> loc
| RHole (loc,_) -> loc
| RCast (loc,_,_) -> loc
| RDynamic (loc,_) -> loc
let set_loc_of_rawconstr loc = function
| RRef (_,a) -> RRef (loc,a)
| RVar (_,a) -> RVar (loc,a)
| REvar (_,a) -> REvar (loc,a)
| RMeta (_,a) -> RMeta (loc,a)
| RApp (_,a,b) -> RApp (loc,a,b)
| RLambda (_,a,b,c) -> RLambda (loc,a,b,c)
| RProd (_,a,b,c) -> RProd (loc,a,b,c)
| RLetIn (_,a,b,c) -> RLetIn (loc,a,b,c)
| RCases (_,a,b,c,d) -> RCases (loc,a,b,c,d)
| ROldCase (_,a,b,c,d) -> ROldCase (loc,a,b,c,d)
| RRec (_,a,b,c,d) -> RRec (loc,a,b,c,d)
| RSort (_,a) -> RSort (loc,a)
| RHole (_,a) -> RHole (loc,a)
| RCast (_,a,b) -> RCast (loc,a,b)
| RDynamic (_,d) -> RDynamic (loc,d)
let join_loc (deb1,_) (_,fin2) = (deb1,fin2)
type 'a raw_red_flag = {
rBeta : bool;
rIota : bool;
rZeta : bool;
rDelta : bool; (* true = delta all but rConst; false = delta only on rConst*)
rConst : 'a list
}
type ('a,'b) red_expr_gen =
| Red of bool
| Hnf
| Simpl
| Cbv of 'b raw_red_flag
| Lazy of 'b raw_red_flag
| Unfold of (int list * 'b) list
| Fold of 'a list
| Pattern of (int list * 'a) list
| ExtraRedExpr of string * 'a list
type 'a or_metanum = AN of loc * 'a | MetaNum of loc * int
type 'a may_eval =
| ConstrTerm of 'a
| ConstrEval of ('a, qualid or_metanum) red_expr_gen * 'a
| ConstrContext of (loc * identifier) * 'a
| ConstrTypeOf of 'a
|