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
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Names
open Cic
open Environ
type unsafe_judgment = constr * constr
let nf_betaiota c = c
(* Type errors. *)
type guard_error =
(* Fixpoints *)
| NotEnoughAbstractionInFixBody
| RecursionNotOnInductiveType of constr
| RecursionOnIllegalTerm of int * (env * constr) * int list * int list
| NotEnoughArgumentsForFixCall of int
(* CoFixpoints *)
| CodomainNotInductiveType of constr
| NestedRecursiveOccurrences
| UnguardedRecursiveCall of constr
| RecCallInTypeOfAbstraction of constr
| RecCallInNonRecArgOfConstructor of constr
| RecCallInTypeOfDef of constr
| RecCallInCaseFun of constr
| RecCallInCaseArg of constr
| RecCallInCasePred of constr
| NotGuardedForm of constr
| ReturnPredicateNotCoInductive of constr
type arity_error =
| NonInformativeToInformative
| StrongEliminationOnNonSmallType
| WrongArity
type type_error =
| UnboundRel of int
| UnboundVar of variable
| NotAType of unsafe_judgment
| BadAssumption of unsafe_judgment
| ReferenceVariables of constr
| ElimArity of pinductive * sorts_family list * constr * unsafe_judgment
* (sorts_family * sorts_family * arity_error) option
| CaseNotInductive of unsafe_judgment
| WrongCaseInfo of inductive * case_info
| NumberBranches of unsafe_judgment * int
| IllFormedBranch of constr * int * constr * constr
| Generalization of (name * constr) * unsafe_judgment
| ActualType of unsafe_judgment * constr
| CantApplyBadType of
(int * constr * constr) * unsafe_judgment * unsafe_judgment array
| CantApplyNonFunctional of unsafe_judgment * unsafe_judgment array
| IllFormedRecBody of guard_error * name array * int
| IllTypedRecBody of
int * name array * unsafe_judgment array * constr array
| UnsatisfiedConstraints of Univ.constraints
exception TypeError of env * type_error
let nfj (c,ct) = (c, nf_betaiota ct)
let error_unbound_rel env n =
raise (TypeError (env, UnboundRel n))
let error_unbound_var env v =
raise (TypeError (env, UnboundVar v))
let error_not_type env j =
raise (TypeError (env, NotAType j))
let error_assumption env j =
raise (TypeError (env, BadAssumption j))
let error_reference_variables env id =
raise (TypeError (env, ReferenceVariables id))
let error_elim_arity env ind aritylst c pj okinds =
raise (TypeError (env, ElimArity (ind,aritylst,c,pj,okinds)))
let error_case_not_inductive env j =
raise (TypeError (env, CaseNotInductive j))
let error_number_branches env cj expn =
raise (TypeError (env, NumberBranches (nfj cj,expn)))
let error_ill_formed_branch env c i actty expty =
raise (TypeError (env,
IllFormedBranch (c,i,nf_betaiota actty, nf_betaiota expty)))
let error_actual_type env j expty =
raise (TypeError (env, ActualType (j,expty)))
let error_cant_apply_not_functional env rator randl =
raise (TypeError (env, CantApplyNonFunctional (rator,randl)))
let error_cant_apply_bad_type env t rator randl =
raise (TypeError (env, CantApplyBadType (t,rator,randl)))
let error_ill_formed_rec_body env why lna i =
raise (TypeError (env, IllFormedRecBody (why,lna,i)))
let error_ill_typed_rec_body env i lna vdefj vargs =
raise (TypeError (env, IllTypedRecBody (i,lna,vdefj,vargs)))
let error_unsatisfied_constraints env c =
raise (TypeError (env, UnsatisfiedConstraints c))
|