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
|
open Pp
open Util
open Names
open Cic
open Term
open Reduction
open Typeops
open Indtypes
open Modops
open Subtyping
open Declarations
open Environ
(** {6 Checking constants } *)
let refresh_arity ar =
let ctxt, hd = decompose_prod_assum ar in
match hd with
Sort (Type u) when not (Univ.is_univ_variable u) ->
let ul = Univ.Level.make DirPath.empty 1 in
let u' = Univ.Universe.make ul in
let cst = Univ.enforce_leq u u' Univ.empty_constraint in
let ctx = Univ.ContextSet.make (Univ.LSet.singleton ul) cst in
mkArity (ctxt,Prop Null), ctx
| _ -> ar, Univ.ContextSet.empty
let check_constant_declaration env kn cb =
Flags.if_verbose Feedback.msg_notice (str " checking cst:" ++ prcon kn);
(** Locally set the oracle for further typechecking *)
let oracle = env.env_conv_oracle in
let env = Environ.set_oracle env cb.const_typing_flags.conv_oracle in
(** [env'] contains De Bruijn universe variables *)
let env' =
match cb.const_universes with
| Monomorphic_const ctx -> push_context_set ~strict:true ctx env
| Polymorphic_const auctx ->
let ctx = Univ.AUContext.repr auctx in
push_context ~strict:false ctx env
in
let envty, ty =
let ty = cb.const_type in
let ty', cu = refresh_arity ty in
let envty = push_context_set cu env' in
let _ = infer_type envty ty' in
envty, ty
in
let () =
match body_of_constant cb with
| Some bd ->
let j = infer envty bd in
conv_leq envty j ty
| None -> ()
in
let env =
if constant_is_polymorphic cb then add_constant kn cb env
else add_constant kn cb env'
in
(** Reset the value of the oracle *)
Environ.set_oracle env oracle
(** {6 Checking modules } *)
(** We currently ignore the [mod_type_alg] and [typ_expr_alg] fields.
The only delicate part is when [mod_expr] is an algebraic expression :
we need to expand it before checking it is indeed a subtype of [mod_type].
Fortunately, [mod_expr] cannot contain any [MEwith]. *)
let lookup_module mp env =
try Environ.lookup_module mp env
with Not_found ->
failwith ("Unknown module: "^ModPath.to_string mp)
let mk_mtb mp sign delta =
{ mod_mp = mp;
mod_expr = ();
mod_type = sign;
mod_type_alg = None;
mod_constraints = Univ.ContextSet.empty;
mod_delta = delta;
mod_retroknowledge = ModTypeRK; }
let rec check_module env mp mb =
let (_:module_signature) =
check_signature env mb.mod_type mb.mod_mp mb.mod_delta
in
let optsign = match mb.mod_expr with
|Struct sign -> Some (check_signature env sign mb.mod_mp mb.mod_delta)
|Algebraic me -> Some (check_mexpression env me mb.mod_mp mb.mod_delta)
|Abstract|FullStruct -> None
in
match optsign with
|None -> ()
|Some sign ->
let mtb1 = mk_mtb mp sign mb.mod_delta
and mtb2 = mk_mtb mp mb.mod_type mb.mod_delta in
let env = add_module_type mp mtb1 env in
Subtyping.check_subtypes env mtb1 mtb2
and check_module_type env mty =
let (_:module_signature) =
check_signature env mty.mod_type mty.mod_mp mty.mod_delta in
()
and check_structure_field env mp lab res = function
| SFBconst cb ->
let c = Constant.make2 mp lab in
check_constant_declaration env c cb
| SFBmind mib ->
let kn = MutInd.make2 mp lab in
let kn = mind_of_delta res kn in
Indtypes.check_inductive env kn mib
| SFBmodule msb ->
let () = check_module env (MPdot(mp,lab)) msb in
Modops.add_module msb env
| SFBmodtype mty ->
check_module_type env mty;
add_modtype (MPdot(mp,lab)) mty env
and check_mexpr env mse mp_mse res = match mse with
| MEident mp ->
let mb = lookup_module mp env in
(subst_and_strengthen mb mp_mse).mod_type
| MEapply (f,mp) ->
let sign = check_mexpr env f mp_mse res in
let farg_id, farg_b, fbody_b = destr_functor sign in
let mtb = module_type_of_module (Some mp) (lookup_module mp env) in
check_subtypes env mtb farg_b;
subst_signature (map_mbid farg_id mp) fbody_b
| MEwith _ -> error_with_module ()
and check_mexpression env sign mp_mse res = match sign with
| MoreFunctor (arg_id, mtb, body) ->
check_module_type env mtb;
let env' = add_module_type (MPbound arg_id) mtb env in
let body = check_mexpression env' body mp_mse res in
MoreFunctor(arg_id,mtb,body)
| NoFunctor me -> check_mexpr env me mp_mse res
and check_signature env sign mp_mse res = match sign with
| MoreFunctor (arg_id, mtb, body) ->
check_module_type env mtb;
let env' = add_module_type (MPbound arg_id) mtb env in
let body = check_signature env' body mp_mse res in
MoreFunctor(arg_id,mtb,body)
| NoFunctor struc ->
let (_:env) = List.fold_left (fun env (lab,mb) ->
check_structure_field env mp_mse lab res mb) env struc
in
NoFunctor struc
|