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)
37 type 'a disambiguator_input = string * int * 'a
40 do_heavy_checks: bool ;
43 (** create a ProofEngineTypes.mk_fresh_name_type function which uses given
44 * names as long as they are available, then it fallbacks to name generation
45 * using FreshNamesGenerator module *)
47 let len = List.length names in
49 fun metasenv context name ~typ ->
50 if !count < len then begin
51 let name = match List.nth names !count with
52 | Some s -> Cic.Name s
53 | None -> Cic.Anonymous
58 FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context name ~typ
60 let rec tactic_of_ast status ast =
61 let module PET = ProofEngineTypes in
63 (* Higher order tactics *)
64 | GrafiteAst.Do (loc, n, tactic) ->
65 Tacticals.do_tactic n (tactic_of_ast status tactic)
66 | GrafiteAst.Seq (loc, tactics) -> (* tac1; tac2; ... *)
67 Tacticals.seq (List.map (tactic_of_ast status) tactics)
68 | GrafiteAst.Repeat (loc, tactic) ->
69 Tacticals.repeat_tactic (tactic_of_ast status tactic)
70 | GrafiteAst.Then (loc, tactic, tactics) -> (* tac; [ tac1 | ... ] *)
72 (tactic_of_ast status tactic)
73 (List.map (tactic_of_ast status) tactics)
74 | GrafiteAst.First (loc, tactics) ->
75 Tacticals.first (List.map (tactic_of_ast status) tactics)
76 | GrafiteAst.Try (loc, tactic) ->
77 Tacticals.try_tactic (tactic_of_ast status tactic)
78 | GrafiteAst.Solve (loc, tactics) ->
79 Tacticals.solve_tactics (List.map (tactic_of_ast status) tactics)
80 | GrafiteAst.Progress (loc, tactic) ->
81 Tacticals.progress_tactic (tactic_of_ast status tactic)
82 (* First order tactics *)
83 | GrafiteAst.Absurd (_, term) -> Tactics.absurd term
84 | GrafiteAst.Apply (_, term) -> Tactics.apply term
85 | GrafiteAst.ApplyRule (_, term) -> Tactics.apply term
86 | GrafiteAst.ApplyP (_, term) -> Tactics.applyP term
87 | GrafiteAst.ApplyS (_, term, params) ->
88 Tactics.applyS ~term ~params ~dbd:(LibraryDb.instance ())
89 ~automation_cache:status.GrafiteTypes.automation_cache
90 | GrafiteAst.Assumption _ -> Tactics.assumption
91 | GrafiteAst.AutoBatch (_,params) ->
92 Tactics.auto ~params ~dbd:(LibraryDb.instance ())
93 ~automation_cache:status.GrafiteTypes.automation_cache
94 | GrafiteAst.Cases (_, what, pattern, (howmany, names)) ->
95 Tactics.cases_intros ?howmany ~mk_fresh_name_callback:(namer_of names)
97 | GrafiteAst.Change (_, pattern, with_what) ->
98 Tactics.change ~pattern with_what
99 | GrafiteAst.Clear (_,id) -> Tactics.clear id
100 | GrafiteAst.ClearBody (_,id) -> Tactics.clearbody id
101 | GrafiteAst.Compose (_,t1,t2,times,(howmany, names)) ->
102 Tactics.compose times t1 t2 ?howmany
103 ~mk_fresh_name_callback:(namer_of names)
104 | GrafiteAst.Contradiction _ -> Tactics.contradiction
105 | GrafiteAst.Constructor (_, n) -> Tactics.constructor n
106 | GrafiteAst.Cut (_, ident, term) ->
107 let names = match ident with None -> [] | Some id -> [Some id] in
108 Tactics.cut ~mk_fresh_name_callback:(namer_of names) term
109 | GrafiteAst.Decompose (_, names) ->
110 let mk_fresh_name_callback = namer_of names in
111 Tactics.decompose ~mk_fresh_name_callback ()
112 | GrafiteAst.Demodulate (_, params) ->
114 ~dbd:(LibraryDb.instance ()) ~params
115 ~automation_cache:status.GrafiteTypes.automation_cache
116 | GrafiteAst.Destruct (_,xterms) -> Tactics.destruct xterms
117 | GrafiteAst.Elim (_, what, using, pattern, (depth, names)) ->
118 Tactics.elim_intros ?using ?depth ~mk_fresh_name_callback:(namer_of names)
120 | GrafiteAst.ElimType (_, what, using, (depth, names)) ->
121 Tactics.elim_type ?using ?depth ~mk_fresh_name_callback:(namer_of names)
123 | GrafiteAst.Exact (_, term) -> Tactics.exact term
124 | GrafiteAst.Exists _ -> Tactics.exists
125 | GrafiteAst.Fail _ -> Tactics.fail
126 | GrafiteAst.Fold (_, reduction_kind, term, pattern) ->
128 match reduction_kind with
130 PET.const_lazy_reduction
131 (CicReduction.normalize ~delta:false ~subst:[])
132 | `Simpl -> PET.const_lazy_reduction ProofEngineReduction.simpl
134 PET.const_lazy_reduction (ProofEngineReduction.unfold ?what:None)
135 | `Unfold (Some lazy_term) ->
136 (fun context metasenv ugraph ->
137 let what, metasenv, ugraph = lazy_term context metasenv ugraph in
138 ProofEngineReduction.unfold ~what, metasenv, ugraph)
140 PET.const_lazy_reduction (CicReduction.whd ~delta:false ~subst:[])
142 Tactics.fold ~reduction ~term ~pattern
143 | GrafiteAst.Fourier _ -> Tactics.fourier
144 | GrafiteAst.FwdSimpl (_, hyp, names) ->
145 Tactics.fwd_simpl ~mk_fresh_name_callback:(namer_of names)
146 ~dbd:(LibraryDb.instance ()) hyp
147 | GrafiteAst.Generalize (_,pattern,ident) ->
148 let names = match ident with None -> [] | Some id -> [Some id] in
149 Tactics.generalize ~mk_fresh_name_callback:(namer_of names) pattern
150 | GrafiteAst.IdTac _ -> Tactics.id
151 | GrafiteAst.Intros (_, (howmany, names)) ->
152 PrimitiveTactics.intros_tac ?howmany
153 ~mk_fresh_name_callback:(namer_of names) ()
154 | GrafiteAst.Inversion (_, term) ->
155 Tactics.inversion term
156 | GrafiteAst.LApply (_, linear, how_many, to_what, what, ident) ->
157 let names = match ident with None -> [] | Some id -> [Some id] in
158 Tactics.lapply ~mk_fresh_name_callback:(namer_of names)
159 ~linear ?how_many ~to_what what
160 | GrafiteAst.Left _ -> Tactics.left
161 | GrafiteAst.LetIn (loc,term,name) ->
162 Tactics.letin term ~mk_fresh_name_callback:(namer_of [Some name])
163 | GrafiteAst.Reduce (_, reduction_kind, pattern) ->
164 (match reduction_kind with
165 | `Normalize -> Tactics.normalize ~pattern
166 | `Simpl -> Tactics.simpl ~pattern
167 | `Unfold what -> Tactics.unfold ~pattern what
168 | `Whd -> Tactics.whd ~pattern)
169 | GrafiteAst.Reflexivity _ -> Tactics.reflexivity
170 | GrafiteAst.Replace (_, pattern, with_what) ->
171 Tactics.replace ~pattern ~with_what
172 | GrafiteAst.Rewrite (_, direction, t, pattern, names) ->
173 EqualityTactics.rewrite_tac ~direction ~pattern t
174 (* to be replaced with ~mk_fresh_name_callback:(namer_of names) *)
175 (List.map (function Some s -> s | None -> assert false) names)
176 | GrafiteAst.Right _ -> Tactics.right
177 | GrafiteAst.Ring _ -> Tactics.ring
178 | GrafiteAst.Split _ -> Tactics.split
179 | GrafiteAst.Symmetry _ -> Tactics.symmetry
180 | GrafiteAst.Transitivity (_, term) -> Tactics.transitivity term
181 (* Implementazioni Aggiunte *)
182 | GrafiteAst.Assume (_, id, t) -> Declarative.assume id t
183 | GrafiteAst.Suppose (_, t, id, t1) -> Declarative.suppose t id t1
184 | GrafiteAst.By_just_we_proved (_, just, ty, id, t1) ->
185 Declarative.by_just_we_proved ~dbd:(LibraryDb.instance())
186 ~automation_cache:status.GrafiteTypes.automation_cache just ty id t1
187 | GrafiteAst.We_need_to_prove (_, t, id, t2) ->
188 Declarative.we_need_to_prove t id t2
189 | GrafiteAst.Bydone (_, t) ->
190 Declarative.bydone ~dbd:(LibraryDb.instance())
191 ~automation_cache:status.GrafiteTypes.automation_cache t
192 | GrafiteAst.We_proceed_by_cases_on (_, t, t1) ->
193 Declarative.we_proceed_by_cases_on t t1
194 | GrafiteAst.We_proceed_by_induction_on (_, t, t1) ->
195 Declarative.we_proceed_by_induction_on t t1
196 | GrafiteAst.Byinduction (_, t, id) -> Declarative.byinduction t id
197 | GrafiteAst.Thesisbecomes (_, t) -> Declarative.thesisbecomes t
198 | GrafiteAst.ExistsElim (_, just, id1, t1, id2, t2) ->
199 Declarative.existselim ~dbd:(LibraryDb.instance())
200 ~automation_cache:status.GrafiteTypes.automation_cache just id1 t1 id2 t2
201 | GrafiteAst.Case (_,id,params) -> Declarative.case id params
202 | GrafiteAst.AndElim(_,just,id1,t1,id2,t2) ->
203 Declarative.andelim ~dbd:(LibraryDb.instance ())
204 ~automation_cache:status.GrafiteTypes.automation_cache just id1 t1 id2 t2
205 | GrafiteAst.RewritingStep (_,termine,t1,t2,cont) ->
206 Declarative.rewritingstep ~dbd:(LibraryDb.instance ())
207 ~automation_cache:status.GrafiteTypes.automation_cache termine t1 t2 cont
209 let classify_tactic tactic =
211 (* tactics that can't close the goal (return a goal we want to "select") *)
212 | GrafiteAst.Rewrite _
214 | GrafiteAst.Replace _
215 | GrafiteAst.Reduce _
217 | GrafiteAst.Generalize _
220 | GrafiteAst.Decompose _ -> true
221 (* tactics like apply *)
224 let reorder_metasenv start refine tactic goals current_goal always_opens_a_goal=
225 (* let print_m name metasenv =
226 prerr_endline (">>>>> " ^ name);
227 prerr_endline (CicMetaSubst.ppmetasenv [] metasenv)
229 (* phase one calculates:
230 * new_goals_from_refine: goals added by refine
231 * head_goal: the first goal opened by ythe tactic
232 * other_goals: other goals opened by the tactic
234 let new_goals_from_refine = PEH.compare_metasenvs start refine in
235 let new_goals_from_tactic = PEH.compare_metasenvs refine tactic in
236 let head_goal, other_goals, goals =
238 | [] -> None,[],goals
240 (* assert (List.mem hd new_goals_from_tactic);
241 * invalidato dalla goal_tac
243 Some hd, List.filter ((<>) hd) new_goals_from_tactic, List.filter ((<>)
248 | None -> new_goals_from_refine @ other_goals
249 | Some x -> x :: new_goals_from_refine @ other_goals
251 (* extract the metas generated by refine and tactic *)
252 let metas_for_tactic_head =
255 | Some head_goal -> List.filter (fun (n,_,_) -> n = head_goal) tactic in
256 let metas_for_tactic_goals =
258 (fun x -> List.find (fun (metano,_,_) -> metano = x) tactic)
261 let metas_for_refine_goals =
262 List.filter (fun (n,_,_) -> List.mem n new_goals_from_refine) tactic in
263 let produced_metas, goals =
265 if always_opens_a_goal then
266 metas_for_tactic_head @ metas_for_refine_goals @
267 metas_for_tactic_goals
269 (* print_m "metas_for_refine_goals" metas_for_refine_goals;
270 print_m "metas_for_tactic_head" metas_for_tactic_head;
271 print_m "metas_for_tactic_goals" metas_for_tactic_goals; *)
272 metas_for_refine_goals @ metas_for_tactic_head @
273 metas_for_tactic_goals
276 let goals = List.map (fun (metano, _, _) -> metano) produced_metas in
277 produced_metas, goals
279 (* residual metas, preserving the original order *)
284 | (metano, _, _) :: tl when metano = e ->
285 [], List.map (fun (x,_,_) -> x) tl
286 | (metano, _, _) :: tl -> let b, a = split e tl in metano :: b, a
288 let find n metasenv =
290 Some (List.find (fun (metano, _, _) -> metano = n) metasenv)
291 with Not_found -> None
296 match find n tactic with
300 let before_l, after_l = split current_goal start in
302 List.filter (fun x -> not (List.mem x produced_goals)) before_l in
304 List.filter (fun x -> not (List.mem x produced_goals)) after_l in
305 let before = extract before_l in
306 let after = extract after_l in
310 print_m "BEGIN" start;
311 prerr_endline ("goal was: " ^ string_of_int current_goal);
312 prerr_endline ("and metas from refine are:");
314 (fun t -> prerr_string (" " ^ string_of_int t))
315 new_goals_from_refine;
317 print_m "before" before;
318 print_m "metas_for_tactic_head" metas_for_tactic_head;
319 print_m "metas_for_refine_goals" metas_for_refine_goals;
320 print_m "metas_for_tactic_goals" metas_for_tactic_goals;
321 print_m "produced_metas" produced_metas;
322 print_m "after" after;
323 |+ FINE DEBUG CODE +| *)
324 before @ produced_metas @ after, goals
326 let apply_tactic ~disambiguate_tactic (text,prefix_len,tactic) (status, goal) =
327 let starting_metasenv = GrafiteTypes.get_proof_metasenv status in
328 let before = List.map (fun g, _, _ -> g) starting_metasenv in
329 let status, tactic = disambiguate_tactic status goal (text,prefix_len,tactic) in
330 let metasenv_after_refinement = GrafiteTypes.get_proof_metasenv status in
331 let proof = GrafiteTypes.get_current_proof status in
332 let proof_status = proof, goal in
333 let always_opens_a_goal = classify_tactic tactic in
334 let tactic = tactic_of_ast status tactic in
335 let (proof, opened) = ProofEngineTypes.apply_tactic tactic proof_status in
336 let after = ProofEngineTypes.goals_of_proof proof in
337 let opened_goals, closed_goals = Tacticals.goals_diff ~before ~after ~opened in
338 let proof, opened_goals =
339 let uri, metasenv_after_tactic, subst, t, ty, attrs = proof in
340 let reordered_metasenv, opened_goals =
343 metasenv_after_refinement metasenv_after_tactic
344 opened goal always_opens_a_goal
346 let proof' = uri, reordered_metasenv, [], t, ty, attrs in
349 let incomplete_proof =
350 match status.GrafiteTypes.proof_status with
351 | GrafiteTypes.Incomplete_proof p -> p
354 { status with GrafiteTypes.proof_status =
355 GrafiteTypes.Incomplete_proof
356 { incomplete_proof with GrafiteTypes.proof = proof } },
357 opened_goals, closed_goals
359 let apply_atomic_tactical ~disambiguate_tactic ~patch (text,prefix_len,tactic) (status, goal) =
360 let starting_metasenv = GrafiteTypes.get_proof_metasenv status in
361 let before = List.map (fun g, _, _ -> g) starting_metasenv in
362 let status, tactic = disambiguate_tactic status goal (text,prefix_len,tactic) in
363 let metasenv_after_refinement = GrafiteTypes.get_proof_metasenv status in
364 let proof = GrafiteTypes.get_current_proof status in
365 let proof_status = proof, goal in
366 let always_opens_a_goal = classify_tactic tactic in
367 let tactic = tactic_of_ast status tactic in
368 let tactic = patch tactic in
369 let (proof, opened) = ProofEngineTypes.apply_tactic tactic proof_status in
370 let after = ProofEngineTypes.goals_of_proof proof in
371 let opened_goals, closed_goals = Tacticals.goals_diff ~before ~after ~opened in
372 let proof, opened_goals =
373 let uri, metasenv_after_tactic, _subst, t, ty, attrs = proof in
374 let reordered_metasenv, opened_goals =
377 metasenv_after_refinement metasenv_after_tactic
378 opened goal always_opens_a_goal
380 let proof' = uri, reordered_metasenv, _subst, t, ty, attrs in
383 let incomplete_proof =
384 match status.GrafiteTypes.proof_status with
385 | GrafiteTypes.Incomplete_proof p -> p
388 { status with GrafiteTypes.proof_status =
389 GrafiteTypes.Incomplete_proof
390 { incomplete_proof with GrafiteTypes.proof = proof } },
391 opened_goals, closed_goals
394 'term 'lazy_term 'reduction 'obj 'ident.
396 (GrafiteTypes.status ->
397 ProofEngineTypes.goal ->
398 (('term, 'lazy_term, 'reduction, 'ident) GrafiteAst.tactic)
399 disambiguator_input ->
400 GrafiteTypes.status *
401 (Cic.term, Cic.lazy_term, Cic.lazy_term GrafiteAst.reduction, string) GrafiteAst.tactic) ->
403 disambiguate_command:
404 (GrafiteTypes.status ->
405 (('term,'obj) GrafiteAst.command) disambiguator_input ->
406 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
409 (GrafiteTypes.status ->
410 (('term,'lazy_term) GrafiteAst.macro) disambiguator_input ->
411 Cic.context -> GrafiteTypes.status * (Cic.term,Cic.lazy_term) GrafiteAst.macro) ->
413 ?do_heavy_checks:bool ->
414 GrafiteTypes.status ->
415 (('term, 'lazy_term, 'reduction, 'obj, 'ident) GrafiteAst.statement)
416 disambiguator_input ->
417 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
420 type 'a eval_command =
422 disambiguate_command:
423 (GrafiteTypes.status -> (('term,'obj) GrafiteAst.command) disambiguator_input ->
424 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
425 options -> GrafiteTypes.status ->
426 (('term,'obj) GrafiteAst.command) disambiguator_input ->
427 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
430 type 'a eval_comment =
431 {ecm_go: 'term 'lazy_term 'reduction_kind 'obj 'ident.
432 disambiguate_command:
433 (GrafiteTypes.status -> (('term,'obj) GrafiteAst.command) disambiguator_input ->
434 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
435 options -> GrafiteTypes.status ->
436 (('term,'lazy_term,'reduction_kind,'obj,'ident) GrafiteAst.comment) disambiguator_input ->
437 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
440 type 'a eval_executable =
441 {ee_go: 'term 'lazy_term 'reduction 'obj 'ident.
443 (GrafiteTypes.status ->
444 ProofEngineTypes.goal ->
445 (('term, 'lazy_term, 'reduction, 'ident) GrafiteAst.tactic)
446 disambiguator_input ->
447 GrafiteTypes.status *
448 (Cic.term, Cic.lazy_term, Cic.lazy_term GrafiteAst.reduction, string) GrafiteAst.tactic) ->
450 disambiguate_command:
451 (GrafiteTypes.status ->
452 (('term,'obj) GrafiteAst.command) disambiguator_input ->
453 GrafiteTypes.status * (Cic.term,Cic.obj) GrafiteAst.command) ->
456 (GrafiteTypes.status ->
457 (('term,'lazy_term) GrafiteAst.macro) disambiguator_input ->
458 Cic.context -> GrafiteTypes.status * (Cic.term,Cic.lazy_term) GrafiteAst.macro) ->
461 GrafiteTypes.status ->
462 (('term, 'lazy_term, 'reduction, 'obj, 'ident) GrafiteAst.code) disambiguator_input ->
463 GrafiteTypes.status * [`Old of UriManager.uri list | `New of NUri.uri list]
466 type 'a eval_from_moo =
467 { efm_go: GrafiteTypes.status -> string -> GrafiteTypes.status }
469 let coercion_moo_statement_of (uri,arity, saturations,_) =
471 (HExtlib.dummy_floc, CicUtil.term_of_uri uri, false, arity, saturations)
473 let basic_eval_unification_hint (t,n) status =
474 NCicUnifHint.add_user_provided_hint status t n
477 let inject_unification_hint =
478 let basic_eval_unification_hint (t,n) ~refresh_uri_in_term =
479 let t = refresh_uri_in_term t in basic_eval_unification_hint (t,n)
481 NRstatus.Serializer.register "unification_hints" basic_eval_unification_hint
484 let eval_unification_hint status t n =
485 let estatus = GrafiteTypes.get_estatus status in
486 let metasenv,subst,estatus,t =
487 GrafiteDisambiguate.disambiguate_nterm None estatus [] [] [] ("",0,t) in
488 assert (metasenv=[]);
489 let t = NCicUntrusted.apply_subst subst [] t in
490 let status = GrafiteTypes.set_estatus estatus status in
492 basic_eval_unification_hint (t,n) (GrafiteTypes.get_estatus status) in
493 let dump = inject_unification_hint (t,n)::estatus#dump in
494 let estatus = estatus#set_dump dump in
495 let status = GrafiteTypes.set_estatus estatus status in
499 let add_coercions_of_lemmas lemmas status =
503 match CoercDb.is_a_coercion (Cic.Const (uri,[])) with
505 | Some (_,tgt,_,sat,_) ->
506 let arity = match tgt with CoercDb.Fun n -> n | _ -> 0 in
507 Some (coercion_moo_statement_of (uri,arity,sat,0)))
510 let status = GrafiteTypes.add_moo_content moo_content status in
511 {status with GrafiteTypes.coercions = CoercDb.dump () },
514 let eval_coercion status ~add_composites uri arity saturations =
516 try CicUtil.uri_of_term uri
517 with Invalid_argument _ ->
518 raise (Invalid_argument "coercion can only be constants/constructors")
521 GrafiteSync.add_coercion ~add_composites
522 ~pack_coercion_obj:CicRefine.pack_coercion_obj
523 status uri arity saturations (GrafiteTypes.get_baseuri status) in
524 let moo_content = coercion_moo_statement_of (uri,arity,saturations,0) in
525 let status = GrafiteTypes.add_moo_content [moo_content] status in
526 add_coercions_of_lemmas lemmas status
528 let eval_prefer_coercion status c =
530 try CicUtil.uri_of_term c
531 with Invalid_argument _ ->
532 raise (Invalid_argument "coercion can only be constants/constructors")
534 let status = GrafiteSync.prefer_coercion status uri in
535 let moo_content = GrafiteAst.PreferCoercion (HExtlib.dummy_floc,c) in
536 let status = GrafiteTypes.add_moo_content [moo_content] status in
539 module MatitaStatus =
541 type input_status = GrafiteTypes.status * ProofEngineTypes.goal
544 GrafiteTypes.status * ProofEngineTypes.goal list * ProofEngineTypes.goal list
546 type tactic = input_status -> output_status
548 let mk_tactic tac = tac
549 let apply_tactic tac = tac
550 let goals (_, opened, closed) = opened, closed
551 let get_stack (status, _) = GrafiteTypes.get_stack status
553 let set_stack stack (status, opened, closed) =
554 GrafiteTypes.set_stack stack status, opened, closed
556 let inject (status, _) = (status, [], [])
557 let focus goal (status, _, _) = (status, goal)
560 module MatitaTacticals = Continuationals.Make(MatitaStatus)
562 let tactic_of_ast' tac =
563 MatitaTacticals.Tactical (MatitaTacticals.Tactic (MatitaStatus.mk_tactic tac))
565 let punctuation_tactical_of_ast (text,prefix_len,punct) =
567 | GrafiteAst.Dot _loc -> MatitaTacticals.Dot
568 | GrafiteAst.Semicolon _loc -> MatitaTacticals.Semicolon
569 | GrafiteAst.Branch _loc -> MatitaTacticals.Branch
570 | GrafiteAst.Shift _loc -> MatitaTacticals.Shift
571 | GrafiteAst.Pos (_loc, i) -> MatitaTacticals.Pos i
572 | GrafiteAst.Merge _loc -> MatitaTacticals.Merge
573 | GrafiteAst.Wildcard _loc -> MatitaTacticals.Wildcard
575 let non_punctuation_tactical_of_ast (text,prefix_len,punct) =
577 | GrafiteAst.Focus (_loc,goals) -> MatitaTacticals.Focus goals
578 | GrafiteAst.Unfocus _loc -> MatitaTacticals.Unfocus
579 | GrafiteAst.Skip _loc -> MatitaTacticals.Tactical MatitaTacticals.Skip
581 let eval_tactical status tac =
582 let status, _, _ = MatitaTacticals.eval tac (status, ~-1) in
583 let status = (* is proof completed? *)
584 match status.GrafiteTypes.proof_status with
585 | GrafiteTypes.Incomplete_proof
586 { GrafiteTypes.stack = stack; proof = proof }
587 when Continuationals.Stack.is_empty stack ->
588 { status with GrafiteTypes.proof_status = GrafiteTypes.Proof proof }
593 let add_obj = GrafiteSync.add_obj ~pack_coercion_obj:CicRefine.pack_coercion_obj
595 let eval_ng_punct (_text, _prefix_len, punct) =
597 | GrafiteAst.Dot _ -> NTactics.dot_tac
598 | GrafiteAst.Semicolon _ -> fun x -> x
599 | GrafiteAst.Branch _ -> NTactics.branch_tac
600 | GrafiteAst.Shift _ -> NTactics.shift_tac
601 | GrafiteAst.Pos (_,l) -> NTactics.pos_tac l
602 | GrafiteAst.Wildcard _ -> NTactics.wildcard_tac
603 | GrafiteAst.Merge _ -> NTactics.merge_tac
606 let rec eval_ng_tac (text, prefix_len, tac) =
608 | GrafiteAst.NApply (_loc, t) -> NTactics.apply_tac (text,prefix_len,t)
609 | GrafiteAst.NAssert (_loc, seqs) ->
612 (function (hyps,concl) ->
615 (id,`Decl t) -> id,`Decl (text,prefix_len,t)
616 |(id,`Def (b,t))->id,`Def((text,prefix_len,b),(text,prefix_len,t))
618 (text,prefix_len,concl))
620 | GrafiteAst.NAuto (_loc, (l,a)) ->
622 ~params:(List.map (fun x -> "",0,x) l,a)
623 | GrafiteAst.NBranch _ -> NTactics.branch_tac
624 | GrafiteAst.NCases (_loc, what, where) ->
626 ~what:(text,prefix_len,what)
627 ~where:(text,prefix_len,where)
628 | GrafiteAst.NCase1 (_loc,n) -> NTactics.case1_tac n
629 | GrafiteAst.NChange (_loc, pat, ww) ->
631 ~where:(text,prefix_len,pat) ~with_what:(text,prefix_len,ww)
632 | GrafiteAst.NDot _ -> NTactics.dot_tac
633 | GrafiteAst.NElim (_loc, what, where) ->
635 ~what:(text,prefix_len,what)
636 ~where:(text,prefix_len,where)
637 | GrafiteAst.NFocus (_,l) -> NTactics.focus_tac l
638 | GrafiteAst.NGeneralize (_loc, where) ->
639 NTactics.generalize_tac ~where:(text,prefix_len,where)
640 | GrafiteAst.NId _ -> (fun x -> x)
641 | GrafiteAst.NIntro (_loc,n) -> NTactics.intro_tac n
642 | GrafiteAst.NLetIn (_loc,where,what,name) ->
643 NTactics.letin_tac ~where:(text,prefix_len,where)
644 ~what:(text,prefix_len,what) name
645 | GrafiteAst.NMerge _ -> NTactics.merge_tac
646 | GrafiteAst.NPos (_,l) -> NTactics.pos_tac l
647 | GrafiteAst.NReduce (_loc, reduction, where) ->
648 NTactics.reduce_tac ~reduction ~where:(text,prefix_len,where)
649 | GrafiteAst.NRewrite (_loc,dir,what,where) ->
650 NTactics.rewrite_tac ~dir ~what:(text,prefix_len,what)
651 ~where:(text,prefix_len,where)
652 | GrafiteAst.NSemicolon _ -> fun x -> x
653 | GrafiteAst.NShift _ -> NTactics.shift_tac
654 | GrafiteAst.NSkip _ -> NTactics.skip_tac
655 | GrafiteAst.NUnfocus _ -> NTactics.unfocus_tac
656 | GrafiteAst.NWildcard _ -> NTactics.wildcard_tac
657 | GrafiteAst.NTry (_,tac) -> NTactics.try_tac
658 (eval_ng_tac (text, prefix_len, tac))
659 | GrafiteAst.NAssumption _ -> NTactics.assumption_tac
662 let subst_metasenv_and_fix_names s =
663 let u,h,metasenv, subst,o = s#obj in
665 NCicUntrusted.map_obj_kind ~skip_body:true
666 (NCicUntrusted.apply_subst subst []) o
668 s#set_obj (u,h,NCicUntrusted.apply_subst_metasenv subst metasenv,subst,o)
671 let rec eval_ncommand opts status (text,prefix_len,cmd) =
673 | GrafiteAst.UnificationHint (loc, t, n) -> eval_unification_hint status t n
674 | GrafiteAst.NQed loc ->
675 (match status.GrafiteTypes.ng_status with
676 | GrafiteTypes.ProofMode estatus ->
677 let uri,height,menv,subst,obj_kind = estatus#obj in
680 (GrafiteTypes.Command_error"You can't Qed an incomplete theorem")
683 NCicUntrusted.map_obj_kind
684 (NCicUntrusted.apply_subst subst []) obj_kind in
685 let height = NCicTypeChecker.height_of_obj_kind uri obj_kind in
686 (* fix the height inside the object *)
687 let rec fix () = function
688 | NCic.Const (NReference.Ref (u,spec)) when NUri.eq u uri ->
689 NCic.Const (NReference.reference_of_spec u
691 | NReference.Def _ -> NReference.Def height
692 | NReference.Fix (i,j,_) -> NReference.Fix(i,j,height)
693 | NReference.CoFix _ -> NReference.CoFix height
694 | NReference.Ind _ | NReference.Con _
695 | NReference.Decl as s -> s))
696 | t -> NCicUtils.map (fun _ () -> ()) () fix t
701 NCicUntrusted.map_obj_kind (fix ()) obj_kind
704 let obj = uri,height,[],[],obj_kind in
705 NCicTypeChecker.typecheck_obj obj;
706 let estatus = NCicLibrary.add_obj estatus uri obj in
707 let objs = NCicElim.mk_elims obj in
708 let timestamp,uris_rev =
710 (fun (estatus,uris_rev) (uri,_,_,_,_) as obj ->
711 NCicTypeChecker.typecheck_obj obj;
712 let estatus = NCicLibrary.add_obj estatus uri obj in
713 estatus,uri::uris_rev
714 ) (estatus,[]) objs in
715 let uris = uri::List.rev uris_rev in
717 GrafiteTypes.ng_status =
718 GrafiteTypes.CommandMode (estatus :> NEstatus.status)},`New uris
719 | _ -> raise (GrafiteTypes.Command_error "Not in proof mode"))
720 | GrafiteAst.NObj (loc,obj) ->
722 match status.GrafiteTypes.ng_status with
723 | GrafiteTypes.ProofMode _ -> assert false
724 | GrafiteTypes.CommandMode es -> es
727 GrafiteDisambiguate.disambiguate_nobj estatus
728 ~baseuri:(GrafiteTypes.get_baseuri status) (text,prefix_len,obj) in
729 let uri,height,nmenv,nsubst,nobj = obj in
730 let ninitial_stack = Continuationals.Stack.of_nmetasenv nmenv in
733 GrafiteTypes.ng_status =
734 GrafiteTypes.ProofMode
735 (subst_metasenv_and_fix_names
736 ((new NTacStatus.status obj ninitial_stack)#set_estatus estatus))
741 eval_ncommand opts status ("",0,GrafiteAst.NQed Stdpp.dummy_loc)
742 | _ -> status,`New [])
743 | GrafiteAst.NUnivConstraint (loc,strict,u1,u2) ->
744 NCicEnvironment.add_constraint strict [false,u1] [false,u2];
748 let rec eval_command = {ec_go = fun ~disambiguate_command opts status
749 (text,prefix_len,cmd) ->
750 let status,cmd = disambiguate_command status (text,prefix_len,cmd) in
753 | GrafiteAst.Index (loc,None,uri) ->
754 assert false (* TODO: for user input *)
755 | GrafiteAst.Index (loc,Some key,uri) ->
757 status.GrafiteTypes.automation_cache.AutomationCache.univ
759 let universe = Universe.index universe key (CicUtil.term_of_uri uri) in
761 status.GrafiteTypes.automation_cache with AutomationCache.univ = universe }
763 let status = { status with GrafiteTypes.automation_cache = cache } in
766 let candidates = Universe.get_candidates status.GrafiteTypes.universe key in
767 ("candidates for " ^ (CicPp.ppterm key) ^ " = " ^
768 (String.concat "\n" (List.map CicPp.ppterm candidates)))
772 let status = GrafiteTypes.add_moo_content [cmd] status in
774 | GrafiteAst.Select (_,uri) as cmd ->
775 if List.mem cmd status.GrafiteTypes.moo_content_rev then status, `Old []
778 AutomationCache.add_term_to_active status.GrafiteTypes.automation_cache
779 [] [] [] (CicUtil.term_of_uri uri) None
781 let status = { status with GrafiteTypes.automation_cache = cache } in
782 let status = GrafiteTypes.add_moo_content [cmd] status in
784 | GrafiteAst.Pump (_,steps) ->
786 AutomationCache.pump status.GrafiteTypes.automation_cache steps
788 let status = { status with GrafiteTypes.automation_cache = cache } in
790 | GrafiteAst.PreferCoercion (loc, coercion) ->
791 eval_prefer_coercion status coercion
792 | GrafiteAst.Coercion (loc, uri, add_composites, arity, saturations) ->
794 eval_coercion status ~add_composites uri arity saturations
797 | GrafiteAst.Inverter (loc, name, indty, params) ->
798 let buri = GrafiteTypes.get_baseuri status in
799 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ".con") in
801 try CicUtil.uri_of_term indty
802 with Invalid_argument _ ->
803 raise (Invalid_argument "not an inductive type to invert") in
805 Inversion_principle.build_inverter ~add_obj status uri indty_uri params
808 | GrafiteAst.Default (loc, what, uris) as cmd ->
809 LibraryObjects.set_default what uris;
810 GrafiteTypes.add_moo_content [cmd] status,`Old []
811 | GrafiteAst.Drop loc -> raise Drop
812 | GrafiteAst.Include (loc, _, baseuri) ->
813 let moopath_rw, moopath_r =
814 LibraryMisc.obj_file_of_baseuri
815 ~must_exist:false ~baseuri ~writable:true,
816 LibraryMisc.obj_file_of_baseuri
817 ~must_exist:false ~baseuri ~writable:false
820 if Sys.file_exists moopath_r then moopath_r else
821 if Sys.file_exists moopath_rw then moopath_rw else
822 raise (IncludedFileNotCompiled (moopath_rw,baseuri))
824 let status = eval_from_moo.efm_go status moopath in
825 let estatus = GrafiteTypes.get_estatus status in
827 NRstatus.Serializer.require ~baseuri:(NUri.uri_of_string baseuri)
829 let status = GrafiteTypes.set_estatus estatus status in
831 let lt_uri = UriManager.uri_of_string "cic:/matita/nat/orders/lt.con" in
832 let nat_uri = UriManager.uri_of_string "cic:/matita/nat/nat/nat.ind" in
833 let nat = Cic.MutInd(nat_uri,0,[]) in
834 let zero = Cic.MutConstruct(nat_uri,0,1,[]) in
835 let succ = Cic.MutConstruct(nat_uri,0,2,[]) in
836 let fake= Cic.Meta(-1,[]) in
837 let term= Cic.Appl [Cic.Const (lt_uri,[]);zero;Cic.Appl[succ;zero]] in let msg =
838 let candidates = Universe.get_candidates status.GrafiteTypes.universe term in
839 ("candidates for " ^ (CicPp.ppterm term) ^ " = " ^
840 (String.concat "\n" (List.map CicPp.ppterm candidates)))
845 | GrafiteAst.Print (_,"proofterm") ->
846 let _,_,_,p,_, _ = GrafiteTypes.get_current_proof status in
847 prerr_endline (Auto.pp_proofterm (Lazy.force p));
849 | GrafiteAst.Print (_,_) -> status,`Old []
850 | GrafiteAst.Qed loc ->
851 let uri, metasenv, _subst, bo, ty, attrs =
852 match status.GrafiteTypes.proof_status with
853 | GrafiteTypes.Proof (Some uri, metasenv, subst, body, ty, attrs) ->
854 uri, metasenv, subst, body, ty, attrs
855 | GrafiteTypes.Proof (None, metasenv, subst, body, ty, attrs) ->
856 raise (GrafiteTypes.Command_error
857 ("Someone allows to start a theorem without giving the "^
858 "name/uri. This should be fixed!"))
861 (GrafiteTypes.Command_error "You can't Qed an incomplete theorem")
863 if metasenv <> [] then
865 (GrafiteTypes.Command_error
866 "Proof not completed! metasenv is not empty!");
867 let name = UriManager.name_of_uri uri in
868 let obj = Cic.Constant (name,Some (Lazy.force bo),ty,[],attrs) in
869 let status, lemmas = add_obj uri obj status in
870 {status with GrafiteTypes.proof_status = GrafiteTypes.No_proof},
871 (*CSC: I throw away the arities *)
873 | GrafiteAst.Relation (loc, id, a, aeq, refl, sym, trans) ->
874 Setoids.add_relation id a aeq refl sym trans;
875 status, `Old [] (*CSC: TO BE FIXED *)
876 | GrafiteAst.Set (loc, name, value) -> status, `Old []
877 (* GrafiteTypes.set_option status name value,[] *)
878 | GrafiteAst.Obj (loc,obj) ->
881 Cic.Constant (name,_,_,_,_)
882 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
883 | Cic.InductiveDefinition (types,_,_,_) ->
885 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
886 | _ -> assert false in
887 let buri = GrafiteTypes.get_baseuri status in
888 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ext) in
889 let obj = CicRefine.pack_coercion_obj obj in
890 let metasenv = GrafiteTypes.get_proof_metasenv status in
892 | Cic.CurrentProof (_,metasenv',bo,ty,_, attrs) ->
893 let name = UriManager.name_of_uri uri in
894 if not(CicPp.check name ty) then
895 HLog.warn ("Bad name: " ^ name);
896 if opts.do_heavy_checks then
898 let dbd = LibraryDb.instance () in
899 let similar = Whelp.match_term ~dbd ty in
900 let similar_len = List.length similar in
901 if similar_len> 30 then
903 ("Duplicate check will compare your theorem with " ^
904 string_of_int similar_len ^
905 " theorems, this may take a while."));
909 let t = CicUtil.term_of_uri u in
911 CicTypeChecker.type_of_aux'
912 metasenv' [] t CicUniv.oblivion_ugraph
914 fst(CicReduction.are_convertible [] ty' ty g))
917 (match convertible with
921 ("Theorem already proved: " ^ UriManager.string_of_uri x ^
922 "\nPlease use a variant."));
925 let initial_proof = (Some uri, metasenv', _subst, lazy bo, ty, attrs) in
926 let initial_stack = Continuationals.Stack.of_metasenv metasenv' in
927 { status with GrafiteTypes.proof_status =
928 GrafiteTypes.Incomplete_proof
929 { GrafiteTypes.proof = initial_proof; stack = initial_stack } ;
933 if metasenv <> [] then
934 raise (GrafiteTypes.Command_error (
935 "metasenv not empty while giving a definition with body: " ^
936 CicMetaSubst.ppmetasenv [] metasenv));
937 let status, lemmas = add_obj uri obj status in
938 let status,new_lemmas = add_coercions_of_lemmas lemmas status in
939 {status with GrafiteTypes.proof_status = GrafiteTypes.No_proof},
940 `Old (uri::new_lemmas@lemmas)
942 match status.GrafiteTypes.proof_status with
943 GrafiteTypes.Intermediate _ ->
944 {status with GrafiteTypes.proof_status = GrafiteTypes.No_proof},uris
947 } and eval_executable = {ee_go = fun ~disambiguate_tactic ~disambiguate_command
948 ~disambiguate_macro opts status (text,prefix_len,ex) ->
950 | GrafiteAst.Tactic (_(*loc*), Some tac, punct) ->
951 let tac = apply_tactic ~disambiguate_tactic (text,prefix_len,tac) in
952 let status = eval_tactical status (tactic_of_ast' tac) in
953 (* CALL auto on every goal, easy way of testing it
956 (loc, ([],["depth","2";"timeout","1";"type","1"])) in
958 let auto = apply_tactic ~disambiguate_tactic ("",0,auto) in
959 let _ = eval_tactical status (tactic_of_ast' auto) in
960 print_endline "GOOD"; ()
961 with ProofEngineTypes.Fail _ -> print_endline "BAD" | _ -> ());*)
963 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
964 | GrafiteAst.Tactic (_, None, punct) ->
966 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
967 | GrafiteAst.NTactic (_(*loc*), tacl) ->
968 (match status.GrafiteTypes.ng_status with
969 | GrafiteTypes.CommandMode _ -> assert false
970 | GrafiteTypes.ProofMode nstatus ->
974 let nstatus = eval_ng_tac (text,prefix_len,tac) nstatus in
975 subst_metasenv_and_fix_names nstatus)
978 NTacStatus.pp_tac_status nstatus;
979 { status with GrafiteTypes.ng_status= GrafiteTypes.ProofMode nstatus },
981 | GrafiteAst.NonPunctuationTactical (_, tac, punct) ->
984 (non_punctuation_tactical_of_ast (text,prefix_len,tac))
987 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
988 | GrafiteAst.Command (_, cmd) ->
989 eval_command.ec_go ~disambiguate_command opts status (text,prefix_len,cmd)
990 | GrafiteAst.NCommand (_, cmd) ->
991 eval_ncommand opts status (text,prefix_len,cmd)
992 | GrafiteAst.Macro (loc, macro) ->
993 raise (Macro (loc,disambiguate_macro status (text,prefix_len,macro)))
995 } and eval_from_moo = {efm_go = fun status fname ->
997 ("",0,GrafiteAst.Executable (HExtlib.dummy_floc,
998 GrafiteAst.Command (HExtlib.dummy_floc,
1001 let moo = GrafiteMarshal.load_moo fname in
1004 let ast = ast_of_cmd ast in
1007 ~disambiguate_tactic:(fun status _ (_,_,tactic) -> status,tactic)
1008 ~disambiguate_command:(fun status (_,_,cmd) -> status,cmd)
1009 ~disambiguate_macro:(fun _ _ -> assert false)
1012 assert (lemmas=`Old []);
1015 } and eval_ast = {ea_go = fun ~disambiguate_tactic ~disambiguate_command
1016 ~disambiguate_macro ?(do_heavy_checks=false) status
1017 (text,prefix_len,st)
1019 let opts = { do_heavy_checks = do_heavy_checks ; } in
1021 | GrafiteAst.Executable (_,ex) ->
1022 eval_executable.ee_go ~disambiguate_tactic ~disambiguate_command
1023 ~disambiguate_macro opts status (text,prefix_len,ex)
1024 | GrafiteAst.Comment (_,c) ->
1025 eval_comment.ecm_go ~disambiguate_command opts status (text,prefix_len,c)
1026 } and eval_comment = { ecm_go = fun ~disambiguate_command opts status (text,prefix_len,c) ->
1032 let eval_ast = eval_ast.ea_go