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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Constr
open Environ
(***********************************************************************
s Reduction functions *)
(* None of these functions do eta reduction *)
val whd_betaiotazeta : env -> constr -> constr
val whd_all : env -> constr -> constr
val whd_allnolet : env -> constr -> constr
val whd_betaiota : env -> constr -> constr
val nf_betaiota : env -> constr -> constr
(***********************************************************************
s conversion functions *)
exception NotConvertible
exception NotConvertibleVect of int
type 'a kernel_conversion_function = env -> 'a -> 'a -> unit
type 'a extended_conversion_function =
?l2r:bool -> ?reds:Names.transparent_state -> env ->
?evars:((existential->constr option) * UGraph.t) ->
'a -> 'a -> unit
type conv_pb = CONV | CUMUL
type 'a universe_compare =
{ (* Might raise NotConvertible *)
compare : env -> conv_pb -> Sorts.t -> Sorts.t -> 'a -> 'a;
compare_instances: flex:bool -> Univ.Instance.t -> Univ.Instance.t -> 'a -> 'a;
conv_inductives : conv_pb -> (Declarations.mutual_inductive_body * int) -> Univ.Instance.t -> int ->
Univ.Instance.t -> int -> 'a -> 'a;
conv_constructors : (Declarations.mutual_inductive_body * int * int) ->
Univ.Instance.t -> int -> Univ.Instance.t -> int -> 'a -> 'a;
}
type 'a universe_state = 'a * 'a universe_compare
type ('a,'b) generic_conversion_function = env -> 'b universe_state -> 'a -> 'a -> 'b
type 'a infer_conversion_function = env -> UGraph.t -> 'a -> 'a -> Univ.constraints
val sort_cmp_universes : env -> conv_pb -> Sorts.t -> Sorts.t ->
'a * 'a universe_compare -> 'a * 'a universe_compare
(* [flex] should be true for constants, false for inductive types and
constructors. *)
val convert_instances : flex:bool -> Univ.Instance.t -> Univ.Instance.t ->
'a * 'a universe_compare -> 'a * 'a universe_compare
(** These two never raise UnivInconsistency, inferred_universes
just gathers the constraints. *)
val checked_universes : UGraph.t universe_compare
val inferred_universes : (UGraph.t * Univ.Constraint.t) universe_compare
(** These two functions can only raise NotConvertible *)
val conv : constr extended_conversion_function
val conv_leq : types extended_conversion_function
(** These conversion functions are used by module subtyping, which needs to infer
universe constraints inside the kernel *)
val infer_conv : ?l2r:bool -> ?evars:(existential->constr option) ->
?ts:Names.transparent_state -> constr infer_conversion_function
val infer_conv_leq : ?l2r:bool -> ?evars:(existential->constr option) ->
?ts:Names.transparent_state -> types infer_conversion_function
(** Depending on the universe state functions, this might raise
[UniverseInconsistency] in addition to [NotConvertible] (for better error
messages). *)
val generic_conv : conv_pb -> l2r:bool -> (existential->constr option) ->
Names.transparent_state -> (constr,'a) generic_conversion_function
(** option for conversion *)
val set_vm_conv : (conv_pb -> types kernel_conversion_function) -> unit
val vm_conv : conv_pb -> types kernel_conversion_function
val default_conv : conv_pb -> ?l2r:bool -> types kernel_conversion_function
val default_conv_leq : ?l2r:bool -> types kernel_conversion_function
(************************************************************************)
(** Builds an application node, reducing beta redexes it may produce. *)
val beta_applist : constr -> constr list -> constr
(** Builds an application node, reducing beta redexes it may produce. *)
val beta_appvect : constr -> constr array -> constr
(** Builds an application node, reducing beta redexe it may produce. *)
val beta_app : constr -> constr -> constr
(** Pseudo-reduction rule Prod(x,A,B) a --> B[x\a] *)
val hnf_prod_applist : env -> types -> constr list -> types
(** Compatibility alias for Term.lambda_appvect_assum *)
val betazeta_appvect : int -> constr -> constr array -> constr
(***********************************************************************
s Recognizing products and arities modulo reduction *)
val dest_prod : env -> types -> Context.Rel.t * types
val dest_prod_assum : env -> types -> Context.Rel.t * types
val dest_lam_assum : env -> types -> Context.Rel.t * types
exception NotArity
val dest_arity : env -> types -> Term.arity (* raises NotArity if not an arity *)
val is_arity : env -> types -> bool
val warn_bytecode_compiler_failed : ?loc:Loc.t -> unit -> unit
|
