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
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
open Loc
open Names
open Tacexpr
open Misctypes
open Constrexpr
open Decl_kinds
open Libnames
(** Vernac expressions, produced by the parser *)
type lident = Id.t located
type lname = Name.t located
type lstring = string located
type lreference = reference
type class_rawexpr = FunClass | SortClass | RefClass of reference or_by_notation
(* spiwack: I'm choosing, for now, to have [goal_selector] be a
different type than [goal_reference] mostly because if it makes sense
to print a goal that is out of focus (or already solved) it doesn't
make sense to apply a tactic to it. Hence it the types may look very
similar, they do not seem to mean the same thing. *)
type goal_selector =
| SelectNth of int
| SelectAll
type goal_identifier = string
type scope_name = string
type goal_reference =
| OpenSubgoals
| NthGoal of int
| GoalId of goal_identifier
type printable =
| PrintTables
| PrintFullContext
| PrintSectionContext of reference
| PrintInspect of int
| PrintGrammar of string
| PrintLoadPath of DirPath.t option
| PrintModules
| PrintModule of reference
| PrintModuleType of reference
| PrintNamespace of DirPath.t
| PrintMLLoadPath
| PrintMLModules
| PrintDebugGC
| PrintName of reference or_by_notation
| PrintGraph
| PrintClasses
| PrintTypeClasses
| PrintInstances of reference or_by_notation
| PrintLtac of reference
| PrintCoercions
| PrintCoercionPaths of class_rawexpr * class_rawexpr
| PrintCanonicalConversions
| PrintUniverses of bool * string option
| PrintHint of reference or_by_notation
| PrintHintGoal
| PrintHintDbName of string
| PrintRewriteHintDbName of string
| PrintHintDb
| PrintScopes
| PrintScope of string
| PrintVisibility of string option
| PrintAbout of reference or_by_notation
| PrintImplicit of reference or_by_notation
| PrintAssumptions of bool * bool * reference or_by_notation
| PrintStrategy of reference or_by_notation option
type search_about_item =
| SearchSubPattern of constr_pattern_expr
| SearchString of string * scope_name option
type searchable =
| SearchPattern of constr_pattern_expr
| SearchRewrite of constr_pattern_expr
| SearchHead of constr_pattern_expr
| SearchAbout of (bool * search_about_item) list
type locatable =
| LocateTerm of reference or_by_notation
| LocateLibrary of reference
| LocateModule of reference
| LocateTactic of reference
| LocateFile of string
type showable =
| ShowGoal of goal_reference
| ShowGoalImplicitly of int option
| ShowProof
| ShowNode
| ShowScript
| ShowExistentials
| ShowTree
| ShowProofNames
| ShowIntros of bool
| ShowMatch of lident
| ShowThesis
type comment =
| CommentConstr of constr_expr
| CommentString of string
| CommentInt of int
type reference_or_constr =
| HintsReference of reference
| HintsConstr of constr_expr
type hints_expr =
| HintsResolve of (int option * bool * reference_or_constr) list
| HintsImmediate of reference_or_constr list
| HintsUnfold of reference list
| HintsTransparency of reference list * bool
| HintsConstructors of reference list
| HintsExtern of int * constr_expr option * raw_tactic_expr
type search_restriction =
| SearchInside of reference list
| SearchOutside of reference list
type rec_flag = bool (* true = Rec; false = NoRec *)
type verbose_flag = bool (* true = Verbose; false = Silent *)
type opacity_flag = bool (* true = Opaque; false = Transparent *)
type coercion_flag = bool (* true = AddCoercion false = NoCoercion *)
type instance_flag = bool option
(* Some true = Backward instance; Some false = Forward instance, None = NoInstance *)
type export_flag = bool (* true = Export; false = Import *)
type inductive_flag = Decl_kinds.recursivity_kind
type infer_flag = bool (* true = try to Infer record; false = nothing *)
type onlyparsing_flag = Flags.compat_version option
(* Some v = Parse only; None = Print also.
If v<>Current, it contains the name of the coq version
which this notation is trying to be compatible with *)
type locality_flag = bool (* true = Local *)
type obsolete_locality = bool
(* Some grammar entries use obsolete_locality. This bool is to be backward
* compatible. If the grammar is fixed removing deprecated syntax, this
* bool should go away too *)
type option_value = Interface.option_value =
| BoolValue of bool
| IntValue of int option
| StringValue of string
type option_ref_value =
| StringRefValue of string
| QualidRefValue of reference
type sort_expr = glob_sort
type definition_expr =
| ProveBody of local_binder list * constr_expr
| DefineBody of local_binder list * raw_red_expr option * constr_expr
* constr_expr option
type fixpoint_expr =
Id.t located * (Id.t located option * recursion_order_expr) * local_binder list * constr_expr * constr_expr option
type cofixpoint_expr =
Id.t located * local_binder list * constr_expr * constr_expr option
type local_decl_expr =
| AssumExpr of lname * constr_expr
| DefExpr of lname * constr_expr * constr_expr option
type inductive_kind = Inductive_kw | CoInductive | Record | Structure | Class of bool (* true = definitional, false = inductive *)
type decl_notation = lstring * constr_expr * scope_name option
type simple_binder = lident list * constr_expr
type class_binder = lident * constr_expr list
type 'a with_coercion = coercion_flag * 'a
type 'a with_instance = instance_flag * 'a
type 'a with_notation = 'a * decl_notation list
type 'a with_priority = 'a * int option
type constructor_expr = (lident * constr_expr) with_coercion
type constructor_list_or_record_decl_expr =
| Constructors of constructor_expr list
| RecordDecl of lident option * local_decl_expr with_instance with_priority with_notation list
type inductive_expr =
lident with_coercion * local_binder list * constr_expr option * inductive_kind *
constructor_list_or_record_decl_expr
type one_inductive_expr =
lident * local_binder list * constr_expr option * constructor_expr list
type grammar_tactic_prod_item_expr =
| TacTerm of string
| TacNonTerm of Loc.t * string * (Names.Id.t * string) option
type syntax_modifier =
| SetItemLevel of string list * Extend.production_level
| SetLevel of int
| SetAssoc of Extend.gram_assoc
| SetEntryType of string * Extend.simple_constr_prod_entry_key
| SetOnlyParsing of Flags.compat_version
| SetFormat of string located
type proof_end =
| Admitted
| Proved of opacity_flag * (lident * theorem_kind option) option
type scheme =
| InductionScheme of bool * reference or_by_notation * sort_expr
| CaseScheme of bool * reference or_by_notation * sort_expr
| EqualityScheme of reference or_by_notation
type section_subset_expr =
| SsSet of lident list
| SsCompl of section_subset_expr
| SsUnion of section_subset_expr * section_subset_expr
| SsSubstr of section_subset_expr * section_subset_expr
type section_subset_descr = SsAll | SsType | SsExpr of section_subset_expr
(* This type allows to register inline of constants in native compiler.
It will be extended with primitive inductive types and operators *)
type register_kind =
| RegisterInline
type bullet =
| Dash
| Star
| Plus
(** {6 Types concerning Stm} *)
type 'a stm_vernac =
| JoinDocument
| Finish
| Wait
| PrintDag
| Observe of Stateid.t
| Command of 'a (* An out of flow command not to be recorded by Stm *)
| PGLast of 'a (* To ease the life of PG *)
(** {6 Types concerning the module layer} *)
(** Rigid / flexible module signature *)
type 'a module_signature =
| Enforce of 'a (** ... : T *)
| Check of 'a list (** ... <: T1 <: T2, possibly empty *)
(** Which module inline annotations should we honor,
either None or the ones whose level is less or equal
to the given integer *)
type inline =
| NoInline
| DefaultInline
| InlineAt of int
type module_ast_inl = module_ast * inline
type module_binder = bool option * lident list * module_ast_inl
(** {6 The type of vernacular expressions} *)
type vernac_expr =
(* Control *)
| VernacLoad of verbose_flag * string
| VernacTime of vernac_list
| VernacTimeout of int * vernac_expr
| VernacFail of vernac_expr
| VernacError of exn (* always fails *)
(* Syntax *)
| VernacTacticNotation of
int * grammar_tactic_prod_item_expr list * raw_tactic_expr
| VernacSyntaxExtension of
obsolete_locality * (lstring * syntax_modifier list)
| VernacOpenCloseScope of obsolete_locality * (bool * scope_name)
| VernacDelimiters of scope_name * string
| VernacBindScope of scope_name * reference or_by_notation list
| VernacInfix of obsolete_locality * (lstring * syntax_modifier list) *
constr_expr * scope_name option
| VernacNotation of
obsolete_locality * constr_expr * (lstring * syntax_modifier list) *
scope_name option
(* Gallina *)
| VernacDefinition of
(locality option * definition_object_kind) * lident * definition_expr
| VernacStartTheoremProof of theorem_kind *
(lident option * (local_binder list * constr_expr * (lident option * recursion_order_expr) option)) list *
bool
| VernacEndProof of proof_end
| VernacExactProof of constr_expr
| VernacAssumption of (locality option * assumption_object_kind) *
inline * simple_binder with_coercion list
| VernacInductive of private_flag * inductive_flag * infer_flag * (inductive_expr * decl_notation list) list
| VernacFixpoint of
locality option * (fixpoint_expr * decl_notation list) list
| VernacCoFixpoint of
locality option * (cofixpoint_expr * decl_notation list) list
| VernacScheme of (lident option * scheme) list
| VernacCombinedScheme of lident * lident list
(* Gallina extensions *)
| VernacBeginSection of lident
| VernacEndSegment of lident
| VernacRequire of
export_flag option * lreference list
| VernacImport of export_flag * lreference list
| VernacCanonical of reference or_by_notation
| VernacCoercion of obsolete_locality * reference or_by_notation *
class_rawexpr * class_rawexpr
| VernacIdentityCoercion of obsolete_locality * lident *
class_rawexpr * class_rawexpr
(* Type classes *)
| VernacInstance of
bool * (* abstract instance *)
local_binder list * (* super *)
typeclass_constraint * (* instance name, class name, params *)
constr_expr option * (* props *)
int option (* Priority *)
| VernacContext of local_binder list
| VernacDeclareInstances of
reference list * int option (* instance names, priority *)
| VernacDeclareClass of reference (* inductive or definition name *)
(* Modules and Module Types *)
| VernacDeclareModule of bool option * lident *
module_binder list * module_ast_inl
| VernacDefineModule of bool option * lident * module_binder list *
module_ast_inl module_signature * module_ast_inl list
| VernacDeclareModuleType of lident *
module_binder list * module_ast_inl list * module_ast_inl list
| VernacInclude of module_ast_inl list
(* Solving *)
| VernacSolve of goal_selector * raw_tactic_expr * bool
| VernacSolveExistential of int * constr_expr
(* Auxiliary file and library management *)
| VernacAddLoadPath of rec_flag * string * DirPath.t option
| VernacRemoveLoadPath of string
| VernacAddMLPath of rec_flag * string
| VernacDeclareMLModule of string list
| VernacChdir of string option
(* State management *)
| VernacWriteState of string
| VernacRestoreState of string
(* Resetting *)
| VernacResetName of lident
| VernacResetInitial
| VernacBack of int
| VernacBackTo of int
(* Commands *)
| VernacDeclareTacticDefinition of
(rec_flag * (reference * bool * raw_tactic_expr) list)
| VernacCreateHintDb of string * bool
| VernacRemoveHints of string list * reference list
| VernacHints of obsolete_locality * string list * hints_expr
| VernacSyntacticDefinition of Id.t located * (Id.t list * constr_expr) *
obsolete_locality * onlyparsing_flag
| VernacDeclareImplicits of reference or_by_notation *
(explicitation * bool * bool) list list
| VernacArguments of reference or_by_notation *
((Name.t * bool * (Loc.t * string) option * bool * bool) list) list *
int * [ `ReductionDontExposeCase | `ReductionNeverUnfold | `Rename | `ExtraScopes
| `ClearImplicits | `ClearScopes | `DefaultImplicits ] list
| VernacArgumentsScope of reference or_by_notation *
scope_name option list
| VernacReserve of simple_binder list
| VernacGeneralizable of (lident list) option
| VernacSetOpacity of (Conv_oracle.level * reference or_by_notation list)
| VernacSetStrategy of
(Conv_oracle.level * reference or_by_notation list) list
| VernacUnsetOption of Goptions.option_name
| VernacSetOption of Goptions.option_name * option_value
| VernacAddOption of Goptions.option_name * option_ref_value list
| VernacRemoveOption of Goptions.option_name * option_ref_value list
| VernacMemOption of Goptions.option_name * option_ref_value list
| VernacPrintOption of Goptions.option_name
| VernacCheckMayEval of raw_red_expr option * int option * constr_expr
| VernacGlobalCheck of constr_expr
| VernacDeclareReduction of string * raw_red_expr
| VernacPrint of printable
| VernacSearch of searchable * search_restriction
| VernacLocate of locatable
| VernacRegister of lident * register_kind
| VernacComments of comment list
| VernacNop
(* Stm backdoor *)
| VernacStm of vernac_expr stm_vernac
(* Proof management *)
| VernacGoal of constr_expr
| VernacAbort of lident option
| VernacAbortAll
| VernacRestart
| VernacUndo of int
| VernacUndoTo of int
| VernacBacktrack of int*int*int
| VernacFocus of int option
| VernacUnfocus
| VernacUnfocused
| VernacBullet of bullet
| VernacSubproof of int option
| VernacEndSubproof
| VernacShow of showable
| VernacCheckGuard
| VernacProof of raw_tactic_expr option * section_subset_descr option
| VernacProofMode of string
(* Toplevel control *)
| VernacToplevelControl of exn
(* For extension *)
| VernacExtend of string * Genarg.raw_generic_argument list
(* Flags *)
| VernacProgram of vernac_expr
| VernacPolymorphic of bool * vernac_expr
| VernacLocal of bool * vernac_expr
and vernac_list = located_vernac_expr list
and located_vernac_expr = Loc.t * vernac_expr
(* A vernac classifier has to tell if a command:
vernac_when: has to be executed now (alters the parser) or later
vernac_type: if it is starts, ends, continues a proof or
alters the global state or is a control command like BackTo or is
a query like Check *)
type vernac_type =
| VtStartProof of vernac_start
| VtSideff of vernac_sideff_type
| VtQed of vernac_qed_type
| VtProofStep
| VtProofMode of string
| VtQuery of vernac_part_of_script
| VtStm of vernac_control * vernac_part_of_script
| VtUnknown
and vernac_qed_type = VtKeep | VtDrop (* Qed/Admitted, Abort *)
and vernac_start = string * opacity_guarantee * Id.t list
and vernac_sideff_type = Id.t list
and vernac_is_alias = bool
and vernac_part_of_script = bool
and vernac_control =
| VtFinish
| VtWait
| VtJoinDocument
| VtPrintDag
| VtObserve of Stateid.t
| VtBack of Stateid.t
| VtPG
and opacity_guarantee =
| GuaranteesOpacity (** Only generates opaque terms at [Qed] *)
| Doesn'tGuaranteeOpacity (** May generate transparent terms even with [Qed].*)
type vernac_when =
| VtNow
| VtLater
type vernac_classification = vernac_type * vernac_when
|