1 (* Copyright (C) 2005, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
12 * HELM is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://helm.cs.unibo.it/
28 module PEH = ProofEngineHelpers
31 (* mo file name, ma file name *)
32 exception IncludedFileNotCompiled of string * string
35 (Cic.context -> GrafiteTypes.status * (Cic.term,Cic.lazy_term) GrafiteAst.macro)
36 exception NMacro of GrafiteAst.loc * GrafiteAst.nmacro
38 type 'a disambiguator_input = string * int * 'a
41 do_heavy_checks: bool ;
44 let concat_nuris uris nuris =
46 | `New uris, `New nuris -> `New (nuris@uris)
49 (** create a ProofEngineTypes.mk_fresh_name_type function which uses given
50 * names as long as they are available, then it fallbacks to name generation
51 * using FreshNamesGenerator module *)
53 let len = List.length names in
55 fun metasenv context name ~typ ->
56 if !count < len then begin
57 let name = match List.nth names !count with
58 | Some s -> Cic.Name s
59 | None -> Cic.Anonymous
64 FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context name ~typ
66 let rec tactic_of_ast status ast =
67 let module PET = ProofEngineTypes in
69 (* Higher order tactics *)
70 | GrafiteAst.Do (loc, n, tactic) ->
71 Tacticals.do_tactic n (tactic_of_ast status tactic)
72 | GrafiteAst.Seq (loc, tactics) -> (* tac1; tac2; ... *)
73 Tacticals.seq (List.map (tactic_of_ast status) tactics)
74 | GrafiteAst.Repeat (loc, tactic) ->
75 Tacticals.repeat_tactic (tactic_of_ast status tactic)
76 | GrafiteAst.Then (loc, tactic, tactics) -> (* tac; [ tac1 | ... ] *)
78 (tactic_of_ast status tactic)
79 (List.map (tactic_of_ast status) tactics)
80 | GrafiteAst.First (loc, tactics) ->
81 Tacticals.first (List.map (tactic_of_ast status) tactics)
82 | GrafiteAst.Try (loc, tactic) ->
83 Tacticals.try_tactic (tactic_of_ast status tactic)
84 | GrafiteAst.Solve (loc, tactics) ->
85 Tacticals.solve_tactics (List.map (tactic_of_ast status) tactics)
86 | GrafiteAst.Progress (loc, tactic) ->
87 Tacticals.progress_tactic (tactic_of_ast status tactic)
88 (* First order tactics *)
89 | GrafiteAst.Absurd (_, term) -> Tactics.absurd term
90 | GrafiteAst.Apply (_, term) -> Tactics.apply term
91 | GrafiteAst.ApplyRule (_, term) -> Tactics.apply term
92 | GrafiteAst.ApplyP (_, term) -> Tactics.applyP term
93 | GrafiteAst.ApplyS (_, term, params) ->
94 Tactics.applyS ~term ~params ~dbd:(LibraryDb.instance ())
95 ~automation_cache:status#automation_cache
96 | GrafiteAst.Assumption _ -> Tactics.assumption
97 | GrafiteAst.AutoBatch (_,params) ->
98 Tactics.auto ~params ~dbd:(LibraryDb.instance ())
99 ~automation_cache:status#automation_cache
100 | GrafiteAst.Cases (_, what, pattern, (howmany, names)) ->
101 Tactics.cases_intros ?howmany ~mk_fresh_name_callback:(namer_of names)
103 | GrafiteAst.Change (_, pattern, with_what) ->
104 Tactics.change ~pattern with_what
105 | GrafiteAst.Clear (_,id) -> Tactics.clear id
106 | GrafiteAst.ClearBody (_,id) -> Tactics.clearbody id
107 | GrafiteAst.Compose (_,t1,t2,times,(howmany, names)) ->
108 Tactics.compose times t1 t2 ?howmany
109 ~mk_fresh_name_callback:(namer_of names)
110 | GrafiteAst.Contradiction _ -> Tactics.contradiction
111 | GrafiteAst.Constructor (_, n) -> Tactics.constructor n
112 | GrafiteAst.Cut (_, ident, term) ->
113 let names = match ident with None -> [] | Some id -> [Some id] in
114 Tactics.cut ~mk_fresh_name_callback:(namer_of names) term
115 | GrafiteAst.Decompose (_, names) ->
116 let mk_fresh_name_callback = namer_of names in
117 Tactics.decompose ~mk_fresh_name_callback ()
118 | GrafiteAst.Demodulate (_, params) ->
120 ~dbd:(LibraryDb.instance ()) ~params
121 ~automation_cache:status#automation_cache
122 | GrafiteAst.Destruct (_,xterms) -> Tactics.destruct xterms
123 | GrafiteAst.Elim (_, what, using, pattern, (depth, names)) ->
124 Tactics.elim_intros ?using ?depth ~mk_fresh_name_callback:(namer_of names)
126 | GrafiteAst.ElimType (_, what, using, (depth, names)) ->
127 Tactics.elim_type ?using ?depth ~mk_fresh_name_callback:(namer_of names)
129 | GrafiteAst.Exact (_, term) -> Tactics.exact term
130 | GrafiteAst.Exists _ -> Tactics.exists
131 | GrafiteAst.Fail _ -> Tactics.fail
132 | GrafiteAst.Fold (_, reduction_kind, term, pattern) ->
134 match reduction_kind with
136 PET.const_lazy_reduction
137 (CicReduction.normalize ~delta:false ~subst:[])
138 | `Simpl -> PET.const_lazy_reduction ProofEngineReduction.simpl
140 PET.const_lazy_reduction (ProofEngineReduction.unfold ?what:None)
141 | `Unfold (Some lazy_term) ->
142 (fun context metasenv ugraph ->
143 let what, metasenv, ugraph = lazy_term context metasenv ugraph in
144 ProofEngineReduction.unfold ~what, metasenv, ugraph)
146 PET.const_lazy_reduction (CicReduction.whd ~delta:false ~subst:[])
148 Tactics.fold ~reduction ~term ~pattern
149 | GrafiteAst.Fourier _ -> Tactics.fourier
150 | GrafiteAst.FwdSimpl (_, hyp, names) ->
151 Tactics.fwd_simpl ~mk_fresh_name_callback:(namer_of names)
152 ~dbd:(LibraryDb.instance ()) hyp
153 | GrafiteAst.Generalize (_,pattern,ident) ->
154 let names = match ident with None -> [] | Some id -> [Some id] in
155 Tactics.generalize ~mk_fresh_name_callback:(namer_of names) pattern
156 | GrafiteAst.IdTac _ -> Tactics.id
157 | GrafiteAst.Intros (_, (howmany, names)) ->
158 PrimitiveTactics.intros_tac ?howmany
159 ~mk_fresh_name_callback:(namer_of names) ()
160 | GrafiteAst.Inversion (_, term) ->
161 Tactics.inversion term
162 | GrafiteAst.LApply (_, linear, how_many, to_what, what, ident) ->
163 let names = match ident with None -> [] | Some id -> [Some id] in
164 Tactics.lapply ~mk_fresh_name_callback:(namer_of names)
165 ~linear ?how_many ~to_what what
166 | GrafiteAst.Left _ -> Tactics.left
167 | GrafiteAst.LetIn (loc,term,name) ->
168 Tactics.letin term ~mk_fresh_name_callback:(namer_of [Some name])
169 | GrafiteAst.Reduce (_, reduction_kind, pattern) ->
170 (match reduction_kind with
171 | `Normalize -> Tactics.normalize ~pattern
172 | `Simpl -> Tactics.simpl ~pattern
173 | `Unfold what -> Tactics.unfold ~pattern what
174 | `Whd -> Tactics.whd ~pattern)
175 | GrafiteAst.Reflexivity _ -> Tactics.reflexivity
176 | GrafiteAst.Replace (_, pattern, with_what) ->
177 Tactics.replace ~pattern ~with_what
178 | GrafiteAst.Rewrite (_, direction, t, pattern, names) ->
179 EqualityTactics.rewrite_tac ~direction ~pattern t
180 (* to be replaced with ~mk_fresh_name_callback:(namer_of names) *)
181 (List.map (function Some s -> s | None -> assert false) names)
182 | GrafiteAst.Right _ -> Tactics.right
183 | GrafiteAst.Ring _ -> Tactics.ring
184 | GrafiteAst.Split _ -> Tactics.split
185 | GrafiteAst.Symmetry _ -> Tactics.symmetry
186 | GrafiteAst.Transitivity (_, term) -> Tactics.transitivity term
187 (* Implementazioni Aggiunte *)
188 | GrafiteAst.Assume (_, id, t) -> Declarative.assume id t
189 | GrafiteAst.Suppose (_, t, id, t1) -> Declarative.suppose t id t1
190 | GrafiteAst.By_just_we_proved (_, just, ty, id, t1) ->
191 Declarative.by_just_we_proved ~dbd:(LibraryDb.instance())
192 ~automation_cache:status#automation_cache just ty id t1
193 | GrafiteAst.We_need_to_prove (_, t, id, t2) ->
194 Declarative.we_need_to_prove t id t2
195 | GrafiteAst.Bydone (_, t) ->
196 Declarative.bydone ~dbd:(LibraryDb.instance())
197 ~automation_cache:status#automation_cache t
198 | GrafiteAst.We_proceed_by_cases_on (_, t, t1) ->
199 Declarative.we_proceed_by_cases_on t t1
200 | GrafiteAst.We_proceed_by_induction_on (_, t, t1) ->
201 Declarative.we_proceed_by_induction_on t t1
202 | GrafiteAst.Byinduction (_, t, id) -> Declarative.byinduction t id
203 | GrafiteAst.Thesisbecomes (_, t) -> Declarative.thesisbecomes t
204 | GrafiteAst.ExistsElim (_, just, id1, t1, id2, t2) ->
205 Declarative.existselim ~dbd:(LibraryDb.instance())
206 ~automation_cache:status#automation_cache just id1 t1 id2 t2
207 | GrafiteAst.Case (_,id,params) -> Declarative.case id params
208 | GrafiteAst.AndElim(_,just,id1,t1,id2,t2) ->
209 Declarative.andelim ~dbd:(LibraryDb.instance ())
210 ~automation_cache:status#automation_cache just id1 t1 id2 t2
211 | GrafiteAst.RewritingStep (_,termine,t1,t2,cont) ->
212 Declarative.rewritingstep ~dbd:(LibraryDb.instance ())
213 ~automation_cache:status#automation_cache termine t1 t2 cont
215 let classify_tactic tactic =
217 (* tactics that can't close the goal (return a goal we want to "select") *)
218 | GrafiteAst.Rewrite _
220 | GrafiteAst.Replace _
221 | GrafiteAst.Reduce _
223 | GrafiteAst.Generalize _
226 | GrafiteAst.Decompose _ -> true
227 (* tactics like apply *)
230 let reorder_metasenv start refine tactic goals current_goal always_opens_a_goal=
231 (* let print_m name metasenv =
232 prerr_endline (">>>>> " ^ name);
233 prerr_endline (CicMetaSubst.ppmetasenv [] metasenv)
235 (* phase one calculates:
236 * new_goals_from_refine: goals added by refine
237 * head_goal: the first goal opened by ythe tactic
238 * other_goals: other goals opened by the tactic
240 let new_goals_from_refine = PEH.compare_metasenvs start refine in
241 let new_goals_from_tactic = PEH.compare_metasenvs refine tactic in
242 let head_goal, other_goals, goals =
244 | [] -> None,[],goals
246 (* assert (List.mem hd new_goals_from_tactic);
247 * invalidato dalla goal_tac
249 Some hd, List.filter ((<>) hd) new_goals_from_tactic, List.filter ((<>)
254 | None -> new_goals_from_refine @ other_goals
255 | Some x -> x :: new_goals_from_refine @ other_goals
257 (* extract the metas generated by refine and tactic *)
258 let metas_for_tactic_head =
261 | Some head_goal -> List.filter (fun (n,_,_) -> n = head_goal) tactic in
262 let metas_for_tactic_goals =
264 (fun x -> List.find (fun (metano,_,_) -> metano = x) tactic)
267 let metas_for_refine_goals =
268 List.filter (fun (n,_,_) -> List.mem n new_goals_from_refine) tactic in
269 let produced_metas, goals =
271 if always_opens_a_goal then
272 metas_for_tactic_head @ metas_for_refine_goals @
273 metas_for_tactic_goals
275 (* print_m "metas_for_refine_goals" metas_for_refine_goals;
276 print_m "metas_for_tactic_head" metas_for_tactic_head;
277 print_m "metas_for_tactic_goals" metas_for_tactic_goals; *)
278 metas_for_refine_goals @ metas_for_tactic_head @
279 metas_for_tactic_goals
282 let goals = List.map (fun (metano, _, _) -> metano) produced_metas in
283 produced_metas, goals
285 (* residual metas, preserving the original order *)
290 | (metano, _, _) :: tl when metano = e ->
291 [], List.map (fun (x,_,_) -> x) tl
292 | (metano, _, _) :: tl -> let b, a = split e tl in metano :: b, a
294 let find n metasenv =
296 Some (List.find (fun (metano, _, _) -> metano = n) metasenv)
297 with Not_found -> None
302 match find n tactic with
306 let before_l, after_l = split current_goal start in
308 List.filter (fun x -> not (List.mem x produced_goals)) before_l in
310 List.filter (fun x -> not (List.mem x produced_goals)) after_l in
311 let before = extract before_l in
312 let after = extract after_l in
316 print_m "BEGIN" start;
317 prerr_endline ("goal was: " ^ string_of_int current_goal);
318 prerr_endline ("and metas from refine are:");
320 (fun t -> prerr_string (" " ^ string_of_int t))
321 new_goals_from_refine;
323 print_m "before" before;
324 print_m "metas_for_tactic_head" metas_for_tactic_head;
325 print_m "metas_for_refine_goals" metas_for_refine_goals;
326 print_m "metas_for_tactic_goals" metas_for_tactic_goals;
327 print_m "produced_metas" produced_metas;
328 print_m "after" after;
329 |+ FINE DEBUG CODE +| *)
330 before @ produced_metas @ after, goals
332 let apply_tactic ~disambiguate_tactic (text,prefix_len,tactic) (status, goal) =
333 let starting_metasenv = GrafiteTypes.get_proof_metasenv status in
334 let before = List.map (fun g, _, _ -> g) starting_metasenv in
335 let status, tactic = disambiguate_tactic status goal (text,prefix_len,tactic) in
336 let metasenv_after_refinement = GrafiteTypes.get_proof_metasenv status in
337 let proof = GrafiteTypes.get_current_proof status in
338 let proof_status = proof, goal in
339 let always_opens_a_goal = classify_tactic tactic in
340 let tactic = tactic_of_ast status tactic in
341 let (proof, opened) = ProofEngineTypes.apply_tactic tactic proof_status in
342 let after = ProofEngineTypes.goals_of_proof proof in
343 let opened_goals, closed_goals = Tacticals.goals_diff ~before ~after ~opened in
344 let proof, opened_goals =
345 let uri, metasenv_after_tactic, subst, t, ty, attrs = proof in
346 let reordered_metasenv, opened_goals =
349 metasenv_after_refinement metasenv_after_tactic
350 opened goal always_opens_a_goal
352 let proof' = uri, reordered_metasenv, [], t, ty, attrs in
355 let incomplete_proof =
356 match status#proof_status with
357 | GrafiteTypes.Incomplete_proof p -> p
360 status#set_proof_status
361 (GrafiteTypes.Incomplete_proof
362 { incomplete_proof with GrafiteTypes.proof = proof }),
363 opened_goals, closed_goals
365 let apply_atomic_tactical ~disambiguate_tactic ~patch (text,prefix_len,tactic) (status, goal) =
366 let starting_metasenv = GrafiteTypes.get_proof_metasenv status in
367 let before = List.map (fun g, _, _ -> g) starting_metasenv in
368 let status, tactic = disambiguate_tactic status goal (text,prefix_len,tactic) in
369 let metasenv_after_refinement = GrafiteTypes.get_proof_metasenv status in
370 let proof = GrafiteTypes.get_current_proof status in
371 let proof_status = proof, goal in
372 let always_opens_a_goal = classify_tactic tactic in
373 let tactic = tactic_of_ast status tactic in
374 let tactic = patch tactic in
375 let (proof, opened) = ProofEngineTypes.apply_tactic tactic proof_status in
376 let after = ProofEngineTypes.goals_of_proof proof in
377 let opened_goals, closed_goals = Tacticals.goals_diff ~before ~after ~opened in
378 let proof, opened_goals =
379 let uri, metasenv_after_tactic, _subst, t, ty, attrs = proof in
380 let reordered_metasenv, opened_goals =
383 metasenv_after_refinement metasenv_after_tactic
384 opened goal always_opens_a_goal
386 let proof' = uri, reordered_metasenv, _subst, t, ty, attrs in
389 let incomplete_proof =
390 match status#proof_status with
391 | GrafiteTypes.Incomplete_proof p -> p
394 status#set_proof_status
395 (GrafiteTypes.Incomplete_proof
396 { incomplete_proof with GrafiteTypes.proof = proof }),
397 opened_goals, closed_goals
400 'term 'lazy_term 'reduction 'obj 'ident.
402 (GrafiteTypes.status ->
403 ProofEngineTypes.goal ->
404 (('term, 'lazy_term, 'reduction, 'ident) GrafiteAst.tactic)
405 disambiguator_input ->
406 GrafiteTypes.status *
407 (Cic.term, Cic.lazy_term, Cic.lazy_term GrafiteAst.reduction, string) GrafiteAst.tactic) ->
409 disambiguate_command:
410 (GrafiteTypes.status ->
411 (('term,'obj) GrafiteAst.command) disambiguator_input ->
412 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
415 (GrafiteTypes.status ->
416 (('term,'lazy_term) GrafiteAst.macro) disambiguator_input ->
417 Cic.context -> GrafiteTypes.status * (Cic.term,Cic.lazy_term) GrafiteAst.macro) ->
419 ?do_heavy_checks:bool ->
420 GrafiteTypes.status ->
421 (('term, 'lazy_term, 'reduction, 'obj, 'ident) GrafiteAst.statement)
422 disambiguator_input ->
423 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
426 type 'a eval_command =
428 disambiguate_command:
429 (GrafiteTypes.status -> (('term,'obj) GrafiteAst.command) disambiguator_input ->
430 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
431 options -> GrafiteTypes.status ->
432 (('term,'obj) GrafiteAst.command) disambiguator_input ->
433 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
436 type 'a eval_comment =
437 {ecm_go: 'term 'lazy_term 'reduction_kind 'obj 'ident.
438 disambiguate_command:
439 (GrafiteTypes.status -> (('term,'obj) GrafiteAst.command) disambiguator_input ->
440 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
441 options -> GrafiteTypes.status ->
442 (('term,'lazy_term,'reduction_kind,'obj,'ident) GrafiteAst.comment) disambiguator_input ->
443 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
446 type 'a eval_executable =
447 {ee_go: 'term 'lazy_term 'reduction 'obj 'ident.
449 (GrafiteTypes.status ->
450 ProofEngineTypes.goal ->
451 (('term, 'lazy_term, 'reduction, 'ident) GrafiteAst.tactic)
452 disambiguator_input ->
453 GrafiteTypes.status *
454 (Cic.term, Cic.lazy_term, Cic.lazy_term GrafiteAst.reduction, string) GrafiteAst.tactic) ->
456 disambiguate_command:
457 (GrafiteTypes.status ->
458 (('term,'obj) GrafiteAst.command) disambiguator_input ->
459 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
462 (GrafiteTypes.status ->
463 (('term,'lazy_term) GrafiteAst.macro) disambiguator_input ->
464 Cic.context -> GrafiteTypes.status * (Cic.term,Cic.lazy_term) GrafiteAst.macro) ->
467 GrafiteTypes.status ->
468 (('term, 'lazy_term, 'reduction, 'obj, 'ident) GrafiteAst.code) disambiguator_input ->
469 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
472 type 'a eval_from_moo =
473 { efm_go: GrafiteTypes.status -> string -> GrafiteTypes.status }
475 let coercion_moo_statement_of (uri,arity, saturations,_) =
477 (HExtlib.dummy_floc, CicUtil.term_of_uri uri, false, arity, saturations)
479 let basic_eval_unification_hint (t,n) status =
480 NCicUnifHint.add_user_provided_hint status t n
483 let inject_unification_hint =
484 let basic_eval_unification_hint (t,n)
485 ~refresh_uri_in_universe
488 let t = refresh_uri_in_term t in basic_eval_unification_hint (t,n)
490 NRstatus.Serializer.register "unification_hints" basic_eval_unification_hint
493 let eval_unification_hint status t n =
494 let metasenv,subst,status,t =
495 GrafiteDisambiguate.disambiguate_nterm None status [] [] [] ("",0,t) in
496 assert (metasenv=[]);
497 let t = NCicUntrusted.apply_subst subst [] t in
498 let status = basic_eval_unification_hint (t,n) status in
499 let dump = inject_unification_hint (t,n)::status#dump in
500 let status = status#set_dump dump in
504 let basic_eval_add_constraint (s,u1,u2) status =
505 NCicLibrary.add_constraint status s u1 u2
508 let inject_constraint =
509 let basic_eval_add_constraint (s,u1,u2)
510 ~refresh_uri_in_universe
513 let u1 = refresh_uri_in_universe u1 in
514 let u2 = refresh_uri_in_universe u2 in
515 basic_eval_add_constraint (s,u1,u2)
517 NRstatus.Serializer.register "constraints" basic_eval_add_constraint
520 let eval_add_constraint status s u1 u2 =
521 let status = basic_eval_add_constraint (s,u1,u2) status in
522 let dump = inject_constraint (s,u1,u2)::status#dump in
523 let status = status#set_dump dump in
527 let add_coercions_of_lemmas lemmas status =
531 match CoercDb.is_a_coercion (Cic.Const (uri,[])) with
533 | Some (_,tgt,_,sat,_) ->
534 let arity = match tgt with CoercDb.Fun n -> n | _ -> 0 in
535 Some (coercion_moo_statement_of (uri,arity,sat,0)))
538 let status = GrafiteTypes.add_moo_content moo_content status in
539 status#set_coercions (CoercDb.dump ()),
542 let eval_coercion status ~add_composites uri arity saturations =
544 try CicUtil.uri_of_term uri
545 with Invalid_argument _ ->
546 raise (Invalid_argument "coercion can only be constants/constructors")
549 GrafiteSync.add_coercion ~add_composites
550 ~pack_coercion_obj:CicRefine.pack_coercion_obj
551 status uri arity saturations status#baseuri in
552 let moo_content = coercion_moo_statement_of (uri,arity,saturations,0) in
553 let status = GrafiteTypes.add_moo_content [moo_content] status in
554 add_coercions_of_lemmas lemmas status
556 let eval_prefer_coercion status c =
558 try CicUtil.uri_of_term c
559 with Invalid_argument _ ->
560 raise (Invalid_argument "coercion can only be constants/constructors")
562 let status = GrafiteSync.prefer_coercion status uri in
563 let moo_content = GrafiteAst.PreferCoercion (HExtlib.dummy_floc,c) in
564 let status = GrafiteTypes.add_moo_content [moo_content] status in
567 module MatitaStatus =
569 type input_status = GrafiteTypes.status * ProofEngineTypes.goal
572 GrafiteTypes.status * ProofEngineTypes.goal list * ProofEngineTypes.goal list
574 type tactic = input_status -> output_status
576 let mk_tactic tac = tac
577 let apply_tactic tac = tac
578 let goals (_, opened, closed) = opened, closed
579 let get_stack (status, _) = GrafiteTypes.get_stack status
581 let set_stack stack (status, opened, closed) =
582 GrafiteTypes.set_stack stack status, opened, closed
584 let inject (status, _) = (status, [], [])
585 let focus goal (status, _, _) = (status, goal)
588 module MatitaTacticals = Continuationals.Make(MatitaStatus)
590 let tactic_of_ast' tac =
591 MatitaTacticals.Tactical (MatitaTacticals.Tactic (MatitaStatus.mk_tactic tac))
593 let punctuation_tactical_of_ast (text,prefix_len,punct) =
595 | GrafiteAst.Dot _loc -> MatitaTacticals.Dot
596 | GrafiteAst.Semicolon _loc -> MatitaTacticals.Semicolon
597 | GrafiteAst.Branch _loc -> MatitaTacticals.Branch
598 | GrafiteAst.Shift _loc -> MatitaTacticals.Shift
599 | GrafiteAst.Pos (_loc, i) -> MatitaTacticals.Pos i
600 | GrafiteAst.Merge _loc -> MatitaTacticals.Merge
601 | GrafiteAst.Wildcard _loc -> MatitaTacticals.Wildcard
603 let non_punctuation_tactical_of_ast (text,prefix_len,punct) =
605 | GrafiteAst.Focus (_loc,goals) -> MatitaTacticals.Focus goals
606 | GrafiteAst.Unfocus _loc -> MatitaTacticals.Unfocus
607 | GrafiteAst.Skip _loc -> MatitaTacticals.Tactical MatitaTacticals.Skip
609 let eval_tactical status tac =
610 let status, _, _ = MatitaTacticals.eval tac (status, ~-1) in
611 let status = (* is proof completed? *)
612 match status#proof_status with
613 | GrafiteTypes.Incomplete_proof
614 { GrafiteTypes.stack = stack; proof = proof }
615 when Continuationals.Stack.is_empty stack ->
616 status#set_proof_status (GrafiteTypes.Proof proof)
621 let add_obj = GrafiteSync.add_obj ~pack_coercion_obj:CicRefine.pack_coercion_obj
623 let eval_ng_punct (_text, _prefix_len, punct) =
625 | GrafiteAst.Dot _ -> NTactics.dot_tac
626 | GrafiteAst.Semicolon _ -> fun x -> x
627 | GrafiteAst.Branch _ -> NTactics.branch_tac
628 | GrafiteAst.Shift _ -> NTactics.shift_tac
629 | GrafiteAst.Pos (_,l) -> NTactics.pos_tac l
630 | GrafiteAst.Wildcard _ -> NTactics.wildcard_tac
631 | GrafiteAst.Merge _ -> NTactics.merge_tac
634 let eval_ng_tac tac =
635 let rec aux f (text, prefix_len, tac) =
637 | GrafiteAst.NApply (_loc, t) -> NTactics.apply_tac (text,prefix_len,t)
638 | GrafiteAst.NAssert (_loc, seqs) ->
641 (function (hyps,concl) ->
644 (id,`Decl t) -> id,`Decl (text,prefix_len,t)
645 |(id,`Def (b,t))->id,`Def((text,prefix_len,b),(text,prefix_len,t))
647 (text,prefix_len,concl))
649 | GrafiteAst.NAuto (_loc, (l,a)) ->
651 ~params:(List.map (fun x -> "",0,x) l,a)
652 | GrafiteAst.NBranch _ -> NTactics.branch_tac
653 | GrafiteAst.NCases (_loc, what, where) ->
655 ~what:(text,prefix_len,what)
656 ~where:(text,prefix_len,where)
657 | GrafiteAst.NCase1 (_loc,n) -> NTactics.case1_tac n
658 | GrafiteAst.NChange (_loc, pat, ww) ->
660 ~where:(text,prefix_len,pat) ~with_what:(text,prefix_len,ww)
661 | GrafiteAst.NConstructor (_loc,num,args) ->
662 NTactics.constructor_tac
663 ?num ~args:(List.map (fun x -> text,prefix_len,x) args)
664 | GrafiteAst.NCut (_loc, t) -> NTactics.cut_tac (text,prefix_len,t)
665 | GrafiteAst.NDot _ -> NTactics.dot_tac
666 | GrafiteAst.NElim (_loc, what, where) ->
668 ~what:(text,prefix_len,what)
669 ~where:(text,prefix_len,where)
670 | GrafiteAst.NFocus (_,l) -> NTactics.focus_tac l
671 | GrafiteAst.NGeneralize (_loc, where) ->
672 NTactics.generalize_tac ~where:(text,prefix_len,where)
673 | GrafiteAst.NId _ -> (fun x -> x)
674 | GrafiteAst.NIntro (_loc,n) -> NTactics.intro_tac n
675 | GrafiteAst.NLApply (_loc, t) -> NTactics.lapply_tac (text,prefix_len,t)
676 | GrafiteAst.NLetIn (_loc,where,what,name) ->
677 NTactics.letin_tac ~where:(text,prefix_len,where)
678 ~what:(text,prefix_len,what) name
679 | GrafiteAst.NMerge _ -> NTactics.merge_tac
680 | GrafiteAst.NPos (_,l) -> NTactics.pos_tac l
681 | GrafiteAst.NReduce (_loc, reduction, where) ->
682 NTactics.reduce_tac ~reduction ~where:(text,prefix_len,where)
683 | GrafiteAst.NRewrite (_loc,dir,what,where) ->
684 NTactics.rewrite_tac ~dir ~what:(text,prefix_len,what)
685 ~where:(text,prefix_len,where)
686 | GrafiteAst.NSemicolon _ -> fun x -> x
687 | GrafiteAst.NShift _ -> NTactics.shift_tac
688 | GrafiteAst.NSkip _ -> NTactics.skip_tac
689 | GrafiteAst.NUnfocus _ -> NTactics.unfocus_tac
690 | GrafiteAst.NWildcard _ -> NTactics.wildcard_tac
691 | GrafiteAst.NTry (_,tac) -> NTactics.try_tac
692 (aux f (text, prefix_len, tac))
693 | GrafiteAst.NAssumption _ -> NTactics.assumption_tac
694 | GrafiteAst.NBlock (_,l) ->
695 NTactics.block_tac (List.map (fun x -> aux f (text,prefix_len,x)) l)
696 |GrafiteAst.NRepeat (_,tac) ->
697 NTactics.repeat_tac (f f (text, prefix_len, tac))
699 aux aux tac (* trick for non uniform recursion call *)
702 let subst_metasenv_and_fix_names status =
703 let u,h,metasenv, subst,o = status#obj in
705 NCicUntrusted.map_obj_kind ~skip_body:true
706 (NCicUntrusted.apply_subst subst []) o
708 status#set_obj(u,h,NCicUntrusted.apply_subst_metasenv subst metasenv,subst,o)
711 let rec eval_ncommand opts status (text,prefix_len,cmd) =
713 | GrafiteAst.UnificationHint (loc, t, n) -> eval_unification_hint status t n
714 | GrafiteAst.NCoercion (loc, name, t, ty, source, target) ->
715 NCicCoercDeclaration.eval_ncoercion status name t ty source target
716 | GrafiteAst.NQed loc ->
717 if status#ng_mode <> `ProofMode then
718 raise (GrafiteTypes.Command_error "Not in proof mode")
720 let uri,height,menv,subst,obj_kind = status#obj in
723 (GrafiteTypes.Command_error"You can't Qed an incomplete theorem")
726 NCicUntrusted.map_obj_kind
727 (NCicUntrusted.apply_subst subst []) obj_kind in
728 let height = NCicTypeChecker.height_of_obj_kind uri [] obj_kind in
729 (* fix the height inside the object *)
730 let rec fix () = function
731 | NCic.Const (NReference.Ref (u,spec)) when NUri.eq u uri ->
732 NCic.Const (NReference.reference_of_spec u
734 | NReference.Def _ -> NReference.Def height
735 | NReference.Fix (i,j,_) -> NReference.Fix(i,j,height)
736 | NReference.CoFix _ -> NReference.CoFix height
737 | NReference.Ind _ | NReference.Con _
738 | NReference.Decl as s -> s))
739 | t -> NCicUtils.map (fun _ () -> ()) () fix t
744 NCicUntrusted.map_obj_kind (fix ()) obj_kind
747 let obj = uri,height,[],[],obj_kind in
748 let old_status = status in
749 let status = NCicLibrary.add_obj status obj in
750 HLog.message ("New object: " ^ NUri.string_of_uri uri);
752 (*prerr_endline (NCicPp.ppobj obj);*)
753 let boxml = NCicElim.mk_elims obj in
754 let boxml = boxml @ NCicElim.mk_projections obj in
757 let timestamp,uris_rev =
759 (fun (status,uris_rev) (uri,_,_,_,_) as obj ->
760 let status = NCicLibrary.add_obj status obj in
762 ) (status,[]) objs in
763 let uris = uri::List.rev uris_rev in
765 let status = status#set_ng_mode `CommandMode in
766 let status = LexiconSync.add_aliases_for_objs status (`New [uri]) in
769 (fun (status,uris) boxml ->
772 eval_ncommand opts status
773 ("",0,GrafiteAst.NObj (HExtlib.dummy_floc,boxml))
775 status, concat_nuris uris nuris
777 NCicTypeChecker.TypeCheckerFailure msg
778 when Lazy.force msg =
779 "Sort elimination not allowed" ->
781 ) (status,`New [] (* uris *)) boxml in
784 _,_,_,_,NCic.Inductive
785 (true,leftno,[_,_,_,[_,_,_]],(_,`Record fields))
788 (fun (name,is_coercion,arity) ->
789 if is_coercion then Some(name,leftno,arity) else None) fields
793 (fun (status,uris) (name,cpos,arity) ->
794 let metasenv,subst,status,t =
795 GrafiteDisambiguate.disambiguate_nterm None status [] [] []
796 ("",0,CicNotationPt.Ident (name,None)) in
797 assert (metasenv = [] && subst = []);
799 NCicCoercDeclaration.
800 basic_eval_and_record_ncoercion_from_t_cpos_arity
801 status (name,t,cpos,arity)
803 let uris = concat_nuris nuris uris in
805 (status,uris) coercions
810 NCicLibrary.time_travel old_status;
812 | GrafiteAst.NCopy (log,tgt,src_uri, map) ->
813 if status#ng_mode <> `CommandMode then
814 raise (GrafiteTypes.Command_error "Not in command mode")
816 let tgt_uri_ext, old_ok =
817 match NCicEnvironment.get_checked_obj src_uri with
818 | _,_,[],[], (NCic.Inductive _ as ok) -> ".ind", ok
819 | _,_,[],[], (NCic.Fixpoint _ as ok) -> ".con", ok
820 | _,_,[],[], (NCic.Constant _ as ok) -> ".con", ok
823 let tgt_uri = NUri.uri_of_string (status#baseuri^"/"^tgt^tgt_uri_ext) in
824 let map = (src_uri, tgt_uri) :: map in
826 let rec subst () = function
827 | NCic.Meta _ -> assert false
828 | NCic.Const (NReference.Ref (u,spec)) as t ->
830 (NReference.reference_of_spec (List.assoc u map)spec)
832 | t -> NCicUtils.map (fun _ _ -> ()) () subst t
834 NCicUntrusted.map_obj_kind ~skip_body:false (subst ()) old_ok
836 let ninitial_stack = Continuationals.Stack.of_nmetasenv [] in
837 let status = status#set_obj (tgt_uri,0,[],[],ok) in
838 (*prerr_endline (NCicPp.ppobj (tgt_uri,0,[],[],ok));*)
839 let status = status#set_stack ninitial_stack in
840 let status = subst_metasenv_and_fix_names status in
841 let status = status#set_ng_mode `ProofMode in
842 eval_ncommand opts status ("",0,GrafiteAst.NQed Stdpp.dummy_loc)
843 | GrafiteAst.NObj (loc,obj) ->
844 if status#ng_mode <> `CommandMode then
845 raise (GrafiteTypes.Command_error "Not in command mode")
848 GrafiteDisambiguate.disambiguate_nobj status
849 ~baseuri:status#baseuri (text,prefix_len,obj) in
850 let uri,height,nmenv,nsubst,nobj = obj in
851 let ninitial_stack = Continuationals.Stack.of_nmetasenv nmenv in
852 let status = status#set_obj obj in
853 let status = status#set_stack ninitial_stack in
854 let status = subst_metasenv_and_fix_names status in
855 let status = status#set_ng_mode `ProofMode in
858 eval_ncommand opts status ("",0,GrafiteAst.NQed Stdpp.dummy_loc)
859 | _ -> status,`New [])
860 | GrafiteAst.NUnivConstraint (loc,strict,u1,u2) ->
861 eval_add_constraint status strict [false,u1] [false,u2]
864 let rec eval_command = {ec_go = fun ~disambiguate_command opts status
865 (text,prefix_len,cmd) ->
866 let status,cmd = disambiguate_command status (text,prefix_len,cmd) in
869 | GrafiteAst.Index (loc,None,uri) ->
870 assert false (* TODO: for user input *)
871 | GrafiteAst.Index (loc,Some key,uri) ->
873 status#automation_cache.AutomationCache.univ
875 let universe = Universe.index universe key (CicUtil.term_of_uri uri) in
877 status#automation_cache with AutomationCache.univ = universe }
879 let status = status#set_automation_cache cache in
882 let candidates = Universe.get_candidates status.GrafiteTypes.universe key in
883 ("candidates for " ^ (CicPp.ppterm key) ^ " = " ^
884 (String.concat "\n" (List.map CicPp.ppterm candidates)))
888 let status = GrafiteTypes.add_moo_content [cmd] status in
890 | GrafiteAst.Select (_,uri) as cmd ->
891 if List.mem cmd status#moo_content_rev then status, `Old []
894 AutomationCache.add_term_to_active status#automation_cache
895 [] [] [] (CicUtil.term_of_uri uri) None
897 let status = status#set_automation_cache cache in
898 let status = GrafiteTypes.add_moo_content [cmd] status in
900 | GrafiteAst.Pump (_,steps) ->
902 AutomationCache.pump status#automation_cache steps
904 let status = status#set_automation_cache cache in
906 | GrafiteAst.PreferCoercion (loc, coercion) ->
907 eval_prefer_coercion status coercion
908 | GrafiteAst.Coercion (loc, uri, add_composites, arity, saturations) ->
910 eval_coercion status ~add_composites uri arity saturations
913 | GrafiteAst.Inverter (loc, name, indty, params) ->
914 let buri = status#baseuri in
915 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ".con") in
917 try CicUtil.uri_of_term indty
918 with Invalid_argument _ ->
919 raise (Invalid_argument "not an inductive type to invert") in
921 Inversion_principle.build_inverter ~add_obj status uri indty_uri params
924 | GrafiteAst.Default (loc, what, uris) as cmd ->
925 LibraryObjects.set_default what uris;
926 GrafiteTypes.add_moo_content [cmd] status,`Old []
927 | GrafiteAst.Drop loc -> raise Drop
928 | GrafiteAst.Include (loc, mode, new_or_old, baseuri) ->
929 (* Old Include command is not recursive; new one is *)
931 if new_or_old = `OldAndNew then
932 let moopath_rw, moopath_r =
933 LibraryMisc.obj_file_of_baseuri
934 ~must_exist:false ~baseuri ~writable:true,
935 LibraryMisc.obj_file_of_baseuri
936 ~must_exist:false ~baseuri ~writable:false in
938 if Sys.file_exists moopath_r then moopath_r else
939 if Sys.file_exists moopath_rw then moopath_rw else
940 raise (IncludedFileNotCompiled (moopath_rw,baseuri))
942 eval_from_moo.efm_go status moopath
947 NRstatus.Serializer.require ~baseuri:(NUri.uri_of_string baseuri)
950 GrafiteTypes.add_moo_content
951 [GrafiteAst.Include (loc,mode,`New,baseuri)] status
954 | GrafiteAst.Print (_,"proofterm") ->
955 let _,_,_,p,_, _ = GrafiteTypes.get_current_proof status in
956 prerr_endline (Auto.pp_proofterm (Lazy.force p));
958 | GrafiteAst.Print (_,_) -> status,`Old []
959 | GrafiteAst.Qed loc ->
960 let uri, metasenv, _subst, bo, ty, attrs =
961 match status#proof_status with
962 | GrafiteTypes.Proof (Some uri, metasenv, subst, body, ty, attrs) ->
963 uri, metasenv, subst, body, ty, attrs
964 | GrafiteTypes.Proof (None, metasenv, subst, body, ty, attrs) ->
965 raise (GrafiteTypes.Command_error
966 ("Someone allows to start a theorem without giving the "^
967 "name/uri. This should be fixed!"))
970 (GrafiteTypes.Command_error "You can't Qed an incomplete theorem")
972 if metasenv <> [] then
974 (GrafiteTypes.Command_error
975 "Proof not completed! metasenv is not empty!");
976 let name = UriManager.name_of_uri uri in
977 let obj = Cic.Constant (name,Some (Lazy.force bo),ty,[],attrs) in
978 let status, lemmas = add_obj uri obj status in
979 status#set_proof_status GrafiteTypes.No_proof,
980 (*CSC: I throw away the arities *)
982 | GrafiteAst.Relation (loc, id, a, aeq, refl, sym, trans) ->
983 Setoids.add_relation id a aeq refl sym trans;
984 status, `Old [] (*CSC: TO BE FIXED *)
985 | GrafiteAst.Set (loc, name, value) -> status, `Old []
986 (* GrafiteTypes.set_option status name value,[] *)
987 | GrafiteAst.Obj (loc,obj) ->
990 Cic.Constant (name,_,_,_,_)
991 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
992 | Cic.InductiveDefinition (types,_,_,_) ->
994 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
995 | _ -> assert false in
996 let buri = status#baseuri in
997 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ext) in
998 let obj = CicRefine.pack_coercion_obj obj in
999 let metasenv = GrafiteTypes.get_proof_metasenv status in
1001 | Cic.CurrentProof (_,metasenv',bo,ty,_, attrs) ->
1002 let name = UriManager.name_of_uri uri in
1003 if not(CicPp.check name ty) then
1004 HLog.warn ("Bad name: " ^ name);
1005 if opts.do_heavy_checks then
1007 let dbd = LibraryDb.instance () in
1008 let similar = Whelp.match_term ~dbd ty in
1009 let similar_len = List.length similar in
1010 if similar_len> 30 then
1012 ("Duplicate check will compare your theorem with " ^
1013 string_of_int similar_len ^
1014 " theorems, this may take a while."));
1018 let t = CicUtil.term_of_uri u in
1020 CicTypeChecker.type_of_aux'
1021 metasenv' [] t CicUniv.oblivion_ugraph
1023 fst(CicReduction.are_convertible [] ty' ty g))
1026 (match convertible with
1030 ("Theorem already proved: " ^ UriManager.string_of_uri x ^
1031 "\nPlease use a variant."));
1034 let initial_proof = (Some uri, metasenv', _subst, lazy bo, ty, attrs) in
1035 let initial_stack = Continuationals.Stack.of_metasenv metasenv' in
1036 status#set_proof_status
1037 (GrafiteTypes.Incomplete_proof
1038 { GrafiteTypes.proof = initial_proof; stack = initial_stack }),
1041 if metasenv <> [] then
1042 raise (GrafiteTypes.Command_error (
1043 "metasenv not empty while giving a definition with body: " ^
1044 CicMetaSubst.ppmetasenv [] metasenv));
1045 let status, lemmas = add_obj uri obj status in
1046 let status,new_lemmas = add_coercions_of_lemmas lemmas status in
1047 status#set_proof_status GrafiteTypes.No_proof,
1048 `Old (uri::new_lemmas@lemmas)
1050 match status#proof_status with
1051 GrafiteTypes.Intermediate _ ->
1052 status#set_proof_status GrafiteTypes.No_proof,uris
1055 } and eval_executable = {ee_go = fun ~disambiguate_tactic ~disambiguate_command
1056 ~disambiguate_macro opts status (text,prefix_len,ex) ->
1058 | GrafiteAst.Tactic (_(*loc*), Some tac, punct) ->
1059 let tac = apply_tactic ~disambiguate_tactic (text,prefix_len,tac) in
1060 let status = eval_tactical status (tactic_of_ast' tac) in
1061 (* CALL auto on every goal, easy way of testing it
1063 GrafiteAst.AutoBatch
1064 (loc, ([],["depth","2";"timeout","1";"type","1"])) in
1066 let auto = apply_tactic ~disambiguate_tactic ("",0,auto) in
1067 let _ = eval_tactical status (tactic_of_ast' auto) in
1068 print_endline "GOOD"; ()
1069 with ProofEngineTypes.Fail _ -> print_endline "BAD" | _ -> ());*)
1070 eval_tactical status
1071 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1072 | GrafiteAst.Tactic (_, None, punct) ->
1073 eval_tactical status
1074 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1075 | GrafiteAst.NTactic (_(*loc*), tacl) ->
1076 if status#ng_mode <> `ProofMode then
1077 raise (GrafiteTypes.Command_error "Not in proof mode")
1082 let status = eval_ng_tac (text,prefix_len,tac) status in
1083 subst_metasenv_and_fix_names status)
1087 | GrafiteAst.NonPunctuationTactical (_, tac, punct) ->
1089 eval_tactical status
1090 (non_punctuation_tactical_of_ast (text,prefix_len,tac))
1092 eval_tactical status
1093 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1094 | GrafiteAst.Command (_, cmd) ->
1095 eval_command.ec_go ~disambiguate_command opts status (text,prefix_len,cmd)
1096 | GrafiteAst.NCommand (_, cmd) ->
1097 eval_ncommand opts status (text,prefix_len,cmd)
1098 | GrafiteAst.Macro (loc, macro) ->
1099 raise (Macro (loc,disambiguate_macro status (text,prefix_len,macro)))
1100 | GrafiteAst.NMacro (loc, macro) ->
1101 raise (NMacro (loc,macro))
1103 } and eval_from_moo = {efm_go = fun status fname ->
1104 let ast_of_cmd cmd =
1105 ("",0,GrafiteAst.Executable (HExtlib.dummy_floc,
1106 GrafiteAst.Command (HExtlib.dummy_floc,
1109 let moo = GrafiteMarshal.load_moo fname in
1112 let ast = ast_of_cmd ast in
1115 ~disambiguate_tactic:(fun status _ (_,_,tactic) -> status,tactic)
1116 ~disambiguate_command:(fun status (_,_,cmd) -> status,cmd)
1117 ~disambiguate_macro:(fun _ _ -> assert false)
1120 assert (lemmas=`Old []);
1123 } and eval_ast = {ea_go = fun ~disambiguate_tactic ~disambiguate_command
1124 ~disambiguate_macro ?(do_heavy_checks=false) status
1125 (text,prefix_len,st)
1127 let opts = { do_heavy_checks = do_heavy_checks ; } in
1129 | GrafiteAst.Executable (_,ex) ->
1130 eval_executable.ee_go ~disambiguate_tactic ~disambiguate_command
1131 ~disambiguate_macro opts status (text,prefix_len,ex)
1132 | GrafiteAst.Comment (_,c) ->
1133 eval_comment.ecm_go ~disambiguate_command opts status (text,prefix_len,c)
1134 } and eval_comment = { ecm_go = fun ~disambiguate_command opts status (text,prefix_len,c) ->
1140 let eval_ast = eval_ast.ea_go