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#automation_cache
90 | GrafiteAst.Assumption _ -> Tactics.assumption
91 | GrafiteAst.AutoBatch (_,params) ->
92 Tactics.auto ~params ~dbd:(LibraryDb.instance ())
93 ~automation_cache:status#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#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#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#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#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#automation_cache just id1 t1 id2 t2
205 | GrafiteAst.RewritingStep (_,termine,t1,t2,cont) ->
206 Declarative.rewritingstep ~dbd:(LibraryDb.instance ())
207 ~automation_cache:status#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#proof_status with
351 | GrafiteTypes.Incomplete_proof p -> p
354 status#set_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#proof_status with
385 | GrafiteTypes.Incomplete_proof p -> p
388 status#set_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)
479 ~refresh_uri_in_universe
482 let t = refresh_uri_in_term t in basic_eval_unification_hint (t,n)
484 NRstatus.Serializer.register "unification_hints" basic_eval_unification_hint
487 let eval_unification_hint status t n =
488 let metasenv,subst,status,t =
489 GrafiteDisambiguate.disambiguate_nterm None status [] [] [] ("",0,t) in
490 assert (metasenv=[]);
491 let t = NCicUntrusted.apply_subst subst [] t in
492 let status = basic_eval_unification_hint (t,n) status in
493 let dump = inject_unification_hint (t,n)::status#dump in
494 let status = status#set_dump dump in
498 let basic_eval_ncoercion (name,t,s,d,p,a) status =
499 NCicCoercion.index_coercion status t s d a p
502 let inject_ncoercion =
503 let basic_eval_ncoercion x ~refresh_uri_in_universe ~refresh_uri_in_term =
504 basic_eval_ncoercion x
506 NRstatus.Serializer.register "ncoercion" basic_eval_ncoercion
509 let eval_ncoercion status name t ty (id,src) tgt =
511 let metasenv,subst,status,ty =
512 GrafiteDisambiguate.disambiguate_nterm None status [] [] [] ("",0,ty) in
513 assert (metasenv=[]);
514 let ty = NCicUntrusted.apply_subst subst [] ty in
515 let metasenv,subst,status,t =
516 GrafiteDisambiguate.disambiguate_nterm (Some ty) status [] [] [] ("",0,t) in
517 assert (metasenv=[]);
518 let t = NCicUntrusted.apply_subst subst [] t in
521 let rec aux cpos ctx = function
522 | NCic.Prod (name,ty,bo) ->
523 if name <> id then aux (cpos+1) ((name,NCic.Decl ty)::ctx) bo
525 let metasenv,subst,status,src =
526 GrafiteDisambiguate.disambiguate_nterm
527 None status ctx [] [] ("",0,src) in
528 let src = NCicUntrusted.apply_subst subst [] src in
529 (* HMM: ma tanto se ignori l'informazione, a che serve?? *)
530 let _ = NCicUnification.unify status metasenv subst ctx ty src in
537 let metasenv,subst,status,tgt =
538 GrafiteDisambiguate.disambiguate_nterm
539 None status [] [] [] ("",0,tgt) in
540 let tgt = NCicUntrusted.apply_subst subst [] tgt in
542 let rec count_prod = function
543 | NCic.Prod (_,_,x) -> 1 + count_prod x
549 let status = basic_eval_ncoercion (name,t,src,tgt,cpos,arity) status in
550 let dump = inject_ncoercion (name,t,src,tgt,cpos,arity)::status#dump in
551 let status = status#set_dump dump in
555 let basic_eval_add_constraint (s,u1,u2) status =
556 NCicLibrary.add_constraint status s u1 u2
559 let inject_constraint =
560 let basic_eval_add_constraint (s,u1,u2)
561 ~refresh_uri_in_universe
564 let u1 = refresh_uri_in_universe u1 in
565 let u2 = refresh_uri_in_universe u2 in
566 basic_eval_add_constraint (s,u1,u2)
568 NRstatus.Serializer.register "constraints" basic_eval_add_constraint
571 let eval_add_constraint status s u1 u2 =
572 let status = basic_eval_add_constraint (s,u1,u2) status in
573 let dump = inject_constraint (s,u1,u2)::status#dump in
574 let status = status#set_dump dump in
578 let add_coercions_of_lemmas lemmas status =
582 match CoercDb.is_a_coercion (Cic.Const (uri,[])) with
584 | Some (_,tgt,_,sat,_) ->
585 let arity = match tgt with CoercDb.Fun n -> n | _ -> 0 in
586 Some (coercion_moo_statement_of (uri,arity,sat,0)))
589 let status = GrafiteTypes.add_moo_content moo_content status in
590 status#set_coercions (CoercDb.dump ()),
593 let eval_coercion status ~add_composites uri arity saturations =
595 try CicUtil.uri_of_term uri
596 with Invalid_argument _ ->
597 raise (Invalid_argument "coercion can only be constants/constructors")
600 GrafiteSync.add_coercion ~add_composites
601 ~pack_coercion_obj:CicRefine.pack_coercion_obj
602 status uri arity saturations status#baseuri in
603 let moo_content = coercion_moo_statement_of (uri,arity,saturations,0) in
604 let status = GrafiteTypes.add_moo_content [moo_content] status in
605 add_coercions_of_lemmas lemmas status
607 let eval_prefer_coercion status c =
609 try CicUtil.uri_of_term c
610 with Invalid_argument _ ->
611 raise (Invalid_argument "coercion can only be constants/constructors")
613 let status = GrafiteSync.prefer_coercion status uri in
614 let moo_content = GrafiteAst.PreferCoercion (HExtlib.dummy_floc,c) in
615 let status = GrafiteTypes.add_moo_content [moo_content] status in
618 module MatitaStatus =
620 type input_status = GrafiteTypes.status * ProofEngineTypes.goal
623 GrafiteTypes.status * ProofEngineTypes.goal list * ProofEngineTypes.goal list
625 type tactic = input_status -> output_status
627 let mk_tactic tac = tac
628 let apply_tactic tac = tac
629 let goals (_, opened, closed) = opened, closed
630 let get_stack (status, _) = GrafiteTypes.get_stack status
632 let set_stack stack (status, opened, closed) =
633 GrafiteTypes.set_stack stack status, opened, closed
635 let inject (status, _) = (status, [], [])
636 let focus goal (status, _, _) = (status, goal)
639 module MatitaTacticals = Continuationals.Make(MatitaStatus)
641 let tactic_of_ast' tac =
642 MatitaTacticals.Tactical (MatitaTacticals.Tactic (MatitaStatus.mk_tactic tac))
644 let punctuation_tactical_of_ast (text,prefix_len,punct) =
646 | GrafiteAst.Dot _loc -> MatitaTacticals.Dot
647 | GrafiteAst.Semicolon _loc -> MatitaTacticals.Semicolon
648 | GrafiteAst.Branch _loc -> MatitaTacticals.Branch
649 | GrafiteAst.Shift _loc -> MatitaTacticals.Shift
650 | GrafiteAst.Pos (_loc, i) -> MatitaTacticals.Pos i
651 | GrafiteAst.Merge _loc -> MatitaTacticals.Merge
652 | GrafiteAst.Wildcard _loc -> MatitaTacticals.Wildcard
654 let non_punctuation_tactical_of_ast (text,prefix_len,punct) =
656 | GrafiteAst.Focus (_loc,goals) -> MatitaTacticals.Focus goals
657 | GrafiteAst.Unfocus _loc -> MatitaTacticals.Unfocus
658 | GrafiteAst.Skip _loc -> MatitaTacticals.Tactical MatitaTacticals.Skip
660 let eval_tactical status tac =
661 let status, _, _ = MatitaTacticals.eval tac (status, ~-1) in
662 let status = (* is proof completed? *)
663 match status#proof_status with
664 | GrafiteTypes.Incomplete_proof
665 { GrafiteTypes.stack = stack; proof = proof }
666 when Continuationals.Stack.is_empty stack ->
667 status#set_proof_status (GrafiteTypes.Proof proof)
672 let add_obj = GrafiteSync.add_obj ~pack_coercion_obj:CicRefine.pack_coercion_obj
674 let eval_ng_punct (_text, _prefix_len, punct) =
676 | GrafiteAst.Dot _ -> NTactics.dot_tac
677 | GrafiteAst.Semicolon _ -> fun x -> x
678 | GrafiteAst.Branch _ -> NTactics.branch_tac
679 | GrafiteAst.Shift _ -> NTactics.shift_tac
680 | GrafiteAst.Pos (_,l) -> NTactics.pos_tac l
681 | GrafiteAst.Wildcard _ -> NTactics.wildcard_tac
682 | GrafiteAst.Merge _ -> NTactics.merge_tac
685 let eval_ng_tac tac =
686 let rec aux f (text, prefix_len, tac) =
688 | GrafiteAst.NApply (_loc, t) -> NTactics.apply_tac (text,prefix_len,t)
689 | GrafiteAst.NAssert (_loc, seqs) ->
692 (function (hyps,concl) ->
695 (id,`Decl t) -> id,`Decl (text,prefix_len,t)
696 |(id,`Def (b,t))->id,`Def((text,prefix_len,b),(text,prefix_len,t))
698 (text,prefix_len,concl))
700 | GrafiteAst.NAuto (_loc, (l,a)) ->
702 ~params:(List.map (fun x -> "",0,x) l,a)
703 | GrafiteAst.NBranch _ -> NTactics.branch_tac
704 | GrafiteAst.NCases (_loc, what, where) ->
706 ~what:(text,prefix_len,what)
707 ~where:(text,prefix_len,where)
708 | GrafiteAst.NCase1 (_loc,n) -> NTactics.case1_tac n
709 | GrafiteAst.NChange (_loc, pat, ww) ->
711 ~where:(text,prefix_len,pat) ~with_what:(text,prefix_len,ww)
712 | GrafiteAst.NDot _ -> NTactics.dot_tac
713 | GrafiteAst.NElim (_loc, what, where) ->
715 ~what:(text,prefix_len,what)
716 ~where:(text,prefix_len,where)
717 | GrafiteAst.NFocus (_,l) -> NTactics.focus_tac l
718 | GrafiteAst.NGeneralize (_loc, where) ->
719 NTactics.generalize_tac ~where:(text,prefix_len,where)
720 | GrafiteAst.NId _ -> (fun x -> x)
721 | GrafiteAst.NIntro (_loc,n) -> NTactics.intro_tac n
722 | GrafiteAst.NLetIn (_loc,where,what,name) ->
723 NTactics.letin_tac ~where:(text,prefix_len,where)
724 ~what:(text,prefix_len,what) name
725 | GrafiteAst.NMerge _ -> NTactics.merge_tac
726 | GrafiteAst.NPos (_,l) -> NTactics.pos_tac l
727 | GrafiteAst.NReduce (_loc, reduction, where) ->
728 NTactics.reduce_tac ~reduction ~where:(text,prefix_len,where)
729 | GrafiteAst.NRewrite (_loc,dir,what,where) ->
730 NTactics.rewrite_tac ~dir ~what:(text,prefix_len,what)
731 ~where:(text,prefix_len,where)
732 | GrafiteAst.NSemicolon _ -> fun x -> x
733 | GrafiteAst.NShift _ -> NTactics.shift_tac
734 | GrafiteAst.NSkip _ -> NTactics.skip_tac
735 | GrafiteAst.NUnfocus _ -> NTactics.unfocus_tac
736 | GrafiteAst.NWildcard _ -> NTactics.wildcard_tac
737 | GrafiteAst.NTry (_,tac) -> NTactics.try_tac
738 (aux f (text, prefix_len, tac))
739 | GrafiteAst.NAssumption _ -> NTactics.assumption_tac
740 | GrafiteAst.NBlock (_,l) ->
741 NTactics.block_tac (List.map (fun x -> aux f (text,prefix_len,x)) l)
742 |GrafiteAst.NRepeat (_,tac) ->
743 NTactics.repeat_tac (f f (text, prefix_len, tac))
745 aux aux tac (* trick for non uniform recursion call *)
748 let subst_metasenv_and_fix_names status =
749 let u,h,metasenv, subst,o = status#obj in
751 NCicUntrusted.map_obj_kind ~skip_body:true
752 (NCicUntrusted.apply_subst subst []) o
754 status#set_obj(u,h,NCicUntrusted.apply_subst_metasenv subst metasenv,subst,o)
757 let rec eval_ncommand opts status (text,prefix_len,cmd) =
759 | GrafiteAst.UnificationHint (loc, t, n) -> eval_unification_hint status t n
760 | GrafiteAst.NCoercion (loc, name, t, ty, source, target) ->
761 eval_ncoercion status name t ty source target
762 | GrafiteAst.NQed loc ->
763 if status#ng_mode <> `ProofMode then
764 raise (GrafiteTypes.Command_error "Not in proof mode")
766 let uri,height,menv,subst,obj_kind = status#obj in
769 (GrafiteTypes.Command_error"You can't Qed an incomplete theorem")
772 NCicUntrusted.map_obj_kind
773 (NCicUntrusted.apply_subst subst []) obj_kind in
774 let height = NCicTypeChecker.height_of_obj_kind uri [] obj_kind in
775 (* fix the height inside the object *)
776 let rec fix () = function
777 | NCic.Const (NReference.Ref (u,spec)) when NUri.eq u uri ->
778 NCic.Const (NReference.reference_of_spec u
780 | NReference.Def _ -> NReference.Def height
781 | NReference.Fix (i,j,_) -> NReference.Fix(i,j,height)
782 | NReference.CoFix _ -> NReference.CoFix height
783 | NReference.Ind _ | NReference.Con _
784 | NReference.Decl as s -> s))
785 | t -> NCicUtils.map (fun _ () -> ()) () fix t
790 NCicUntrusted.map_obj_kind (fix ()) obj_kind
793 let obj = uri,height,[],[],obj_kind in
794 let status = NCicLibrary.add_obj status obj in
795 let objs = NCicElim.mk_elims obj in
796 let timestamp,uris_rev =
798 (fun (status,uris_rev) (uri,_,_,_,_) as obj ->
799 let status = NCicLibrary.add_obj status obj in
801 ) (status,[]) objs in
802 let uris = uri::List.rev uris_rev in
803 status#set_ng_mode `CommandMode,`New uris
804 | GrafiteAst.NObj (loc,obj) ->
805 if status#ng_mode <> `CommandMode then
806 raise (GrafiteTypes.Command_error "Not in command mode")
809 GrafiteDisambiguate.disambiguate_nobj status
810 ~baseuri:status#baseuri (text,prefix_len,obj) in
811 let uri,height,nmenv,nsubst,nobj = obj in
812 let ninitial_stack = Continuationals.Stack.of_nmetasenv nmenv in
813 let status = status#set_obj obj in
814 let status = status#set_stack ninitial_stack in
815 let status = subst_metasenv_and_fix_names status in
816 let status = status#set_ng_mode `ProofMode in
819 eval_ncommand opts status ("",0,GrafiteAst.NQed Stdpp.dummy_loc)
820 | _ -> status,`New [])
821 | GrafiteAst.NUnivConstraint (loc,strict,u1,u2) ->
822 eval_add_constraint status strict [false,u1] [false,u2]
825 let rec eval_command = {ec_go = fun ~disambiguate_command opts status
826 (text,prefix_len,cmd) ->
827 let status,cmd = disambiguate_command status (text,prefix_len,cmd) in
830 | GrafiteAst.Index (loc,None,uri) ->
831 assert false (* TODO: for user input *)
832 | GrafiteAst.Index (loc,Some key,uri) ->
834 status#automation_cache.AutomationCache.univ
836 let universe = Universe.index universe key (CicUtil.term_of_uri uri) in
838 status#automation_cache with AutomationCache.univ = universe }
840 let status = status#set_automation_cache cache in
843 let candidates = Universe.get_candidates status.GrafiteTypes.universe key in
844 ("candidates for " ^ (CicPp.ppterm key) ^ " = " ^
845 (String.concat "\n" (List.map CicPp.ppterm candidates)))
849 let status = GrafiteTypes.add_moo_content [cmd] status in
851 | GrafiteAst.Select (_,uri) as cmd ->
852 if List.mem cmd status#moo_content_rev then status, `Old []
855 AutomationCache.add_term_to_active status#automation_cache
856 [] [] [] (CicUtil.term_of_uri uri) None
858 let status = status#set_automation_cache cache in
859 let status = GrafiteTypes.add_moo_content [cmd] status in
861 | GrafiteAst.Pump (_,steps) ->
863 AutomationCache.pump status#automation_cache steps
865 let status = status#set_automation_cache cache in
867 | GrafiteAst.PreferCoercion (loc, coercion) ->
868 eval_prefer_coercion status coercion
869 | GrafiteAst.Coercion (loc, uri, add_composites, arity, saturations) ->
871 eval_coercion status ~add_composites uri arity saturations
874 | GrafiteAst.Inverter (loc, name, indty, params) ->
875 let buri = status#baseuri in
876 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ".con") in
878 try CicUtil.uri_of_term indty
879 with Invalid_argument _ ->
880 raise (Invalid_argument "not an inductive type to invert") in
882 Inversion_principle.build_inverter ~add_obj status uri indty_uri params
885 | GrafiteAst.Default (loc, what, uris) as cmd ->
886 LibraryObjects.set_default what uris;
887 GrafiteTypes.add_moo_content [cmd] status,`Old []
888 | GrafiteAst.Drop loc -> raise Drop
889 | GrafiteAst.Include (loc, mode, new_or_old, baseuri) ->
890 (* Old Include command is not recursive; new one is *)
892 if new_or_old = `OldAndNew then
893 let moopath_rw, moopath_r =
894 LibraryMisc.obj_file_of_baseuri
895 ~must_exist:false ~baseuri ~writable:true,
896 LibraryMisc.obj_file_of_baseuri
897 ~must_exist:false ~baseuri ~writable:false in
899 if Sys.file_exists moopath_r then moopath_r else
900 if Sys.file_exists moopath_rw then moopath_rw else
901 raise (IncludedFileNotCompiled (moopath_rw,baseuri))
903 eval_from_moo.efm_go status moopath
908 NRstatus.Serializer.require ~baseuri:(NUri.uri_of_string baseuri)
911 GrafiteTypes.add_moo_content
912 [GrafiteAst.Include (loc,mode,`New,baseuri)] status
915 | GrafiteAst.Print (_,"proofterm") ->
916 let _,_,_,p,_, _ = GrafiteTypes.get_current_proof status in
917 prerr_endline (Auto.pp_proofterm (Lazy.force p));
919 | GrafiteAst.Print (_,_) -> status,`Old []
920 | GrafiteAst.Qed loc ->
921 let uri, metasenv, _subst, bo, ty, attrs =
922 match status#proof_status with
923 | GrafiteTypes.Proof (Some uri, metasenv, subst, body, ty, attrs) ->
924 uri, metasenv, subst, body, ty, attrs
925 | GrafiteTypes.Proof (None, metasenv, subst, body, ty, attrs) ->
926 raise (GrafiteTypes.Command_error
927 ("Someone allows to start a theorem without giving the "^
928 "name/uri. This should be fixed!"))
931 (GrafiteTypes.Command_error "You can't Qed an incomplete theorem")
933 if metasenv <> [] then
935 (GrafiteTypes.Command_error
936 "Proof not completed! metasenv is not empty!");
937 let name = UriManager.name_of_uri uri in
938 let obj = Cic.Constant (name,Some (Lazy.force bo),ty,[],attrs) in
939 let status, lemmas = add_obj uri obj status in
940 status#set_proof_status GrafiteTypes.No_proof,
941 (*CSC: I throw away the arities *)
943 | GrafiteAst.Relation (loc, id, a, aeq, refl, sym, trans) ->
944 Setoids.add_relation id a aeq refl sym trans;
945 status, `Old [] (*CSC: TO BE FIXED *)
946 | GrafiteAst.Set (loc, name, value) -> status, `Old []
947 (* GrafiteTypes.set_option status name value,[] *)
948 | GrafiteAst.Obj (loc,obj) ->
951 Cic.Constant (name,_,_,_,_)
952 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
953 | Cic.InductiveDefinition (types,_,_,_) ->
955 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
956 | _ -> assert false in
957 let buri = status#baseuri in
958 let uri = UriManager.uri_of_string (buri ^ "/" ^ name ^ ext) in
959 let obj = CicRefine.pack_coercion_obj obj in
960 let metasenv = GrafiteTypes.get_proof_metasenv status in
962 | Cic.CurrentProof (_,metasenv',bo,ty,_, attrs) ->
963 let name = UriManager.name_of_uri uri in
964 if not(CicPp.check name ty) then
965 HLog.warn ("Bad name: " ^ name);
966 if opts.do_heavy_checks then
968 let dbd = LibraryDb.instance () in
969 let similar = Whelp.match_term ~dbd ty in
970 let similar_len = List.length similar in
971 if similar_len> 30 then
973 ("Duplicate check will compare your theorem with " ^
974 string_of_int similar_len ^
975 " theorems, this may take a while."));
979 let t = CicUtil.term_of_uri u in
981 CicTypeChecker.type_of_aux'
982 metasenv' [] t CicUniv.oblivion_ugraph
984 fst(CicReduction.are_convertible [] ty' ty g))
987 (match convertible with
991 ("Theorem already proved: " ^ UriManager.string_of_uri x ^
992 "\nPlease use a variant."));
995 let initial_proof = (Some uri, metasenv', _subst, lazy bo, ty, attrs) in
996 let initial_stack = Continuationals.Stack.of_metasenv metasenv' in
997 status#set_proof_status
998 (GrafiteTypes.Incomplete_proof
999 { GrafiteTypes.proof = initial_proof; stack = initial_stack }),
1002 if metasenv <> [] then
1003 raise (GrafiteTypes.Command_error (
1004 "metasenv not empty while giving a definition with body: " ^
1005 CicMetaSubst.ppmetasenv [] metasenv));
1006 let status, lemmas = add_obj uri obj status in
1007 let status,new_lemmas = add_coercions_of_lemmas lemmas status in
1008 status#set_proof_status GrafiteTypes.No_proof,
1009 `Old (uri::new_lemmas@lemmas)
1011 match status#proof_status with
1012 GrafiteTypes.Intermediate _ ->
1013 status#set_proof_status GrafiteTypes.No_proof,uris
1016 } and eval_executable = {ee_go = fun ~disambiguate_tactic ~disambiguate_command
1017 ~disambiguate_macro opts status (text,prefix_len,ex) ->
1019 | GrafiteAst.Tactic (_(*loc*), Some tac, punct) ->
1020 let tac = apply_tactic ~disambiguate_tactic (text,prefix_len,tac) in
1021 let status = eval_tactical status (tactic_of_ast' tac) in
1022 (* CALL auto on every goal, easy way of testing it
1024 GrafiteAst.AutoBatch
1025 (loc, ([],["depth","2";"timeout","1";"type","1"])) in
1027 let auto = apply_tactic ~disambiguate_tactic ("",0,auto) in
1028 let _ = eval_tactical status (tactic_of_ast' auto) in
1029 print_endline "GOOD"; ()
1030 with ProofEngineTypes.Fail _ -> print_endline "BAD" | _ -> ());*)
1031 eval_tactical status
1032 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1033 | GrafiteAst.Tactic (_, None, punct) ->
1034 eval_tactical status
1035 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1036 | GrafiteAst.NTactic (_(*loc*), tacl) ->
1037 if status#ng_mode <> `ProofMode then
1038 raise (GrafiteTypes.Command_error "Not in proof mode")
1043 let status = eval_ng_tac (text,prefix_len,tac) status in
1044 subst_metasenv_and_fix_names status)
1048 | GrafiteAst.NonPunctuationTactical (_, tac, punct) ->
1050 eval_tactical status
1051 (non_punctuation_tactical_of_ast (text,prefix_len,tac))
1053 eval_tactical status
1054 (punctuation_tactical_of_ast (text,prefix_len,punct)),`Old []
1055 | GrafiteAst.Command (_, cmd) ->
1056 eval_command.ec_go ~disambiguate_command opts status (text,prefix_len,cmd)
1057 | GrafiteAst.NCommand (_, cmd) ->
1058 eval_ncommand opts status (text,prefix_len,cmd)
1059 | GrafiteAst.Macro (loc, macro) ->
1060 raise (Macro (loc,disambiguate_macro status (text,prefix_len,macro)))
1062 } and eval_from_moo = {efm_go = fun status fname ->
1063 let ast_of_cmd cmd =
1064 ("",0,GrafiteAst.Executable (HExtlib.dummy_floc,
1065 GrafiteAst.Command (HExtlib.dummy_floc,
1068 let moo = GrafiteMarshal.load_moo fname in
1071 let ast = ast_of_cmd ast in
1074 ~disambiguate_tactic:(fun status _ (_,_,tactic) -> status,tactic)
1075 ~disambiguate_command:(fun status (_,_,cmd) -> status,cmd)
1076 ~disambiguate_macro:(fun _ _ -> assert false)
1079 assert (lemmas=`Old []);
1082 } and eval_ast = {ea_go = fun ~disambiguate_tactic ~disambiguate_command
1083 ~disambiguate_macro ?(do_heavy_checks=false) status
1084 (text,prefix_len,st)
1086 let opts = { do_heavy_checks = do_heavy_checks ; } in
1088 | GrafiteAst.Executable (_,ex) ->
1089 eval_executable.ee_go ~disambiguate_tactic ~disambiguate_command
1090 ~disambiguate_macro opts status (text,prefix_len,ex)
1091 | GrafiteAst.Comment (_,c) ->
1092 eval_comment.ecm_go ~disambiguate_command opts status (text,prefix_len,c)
1093 } and eval_comment = { ecm_go = fun ~disambiguate_command opts status (text,prefix_len,c) ->
1099 let eval_ast = eval_ast.ea_go