6 let debug_print = if debug then prerr_endline else ignore ;;
8 (** create a ProofEngineTypes.mk_fresh_name_type function which uses given
9 * names as long as they are available, then it fallbacks to name generation
10 * using FreshNamesGenerator module *)
12 let len = List.length names in
14 fun metasenv context name ~typ ->
15 if !count < len then begin
16 let name = Cic.Name (List.nth names !count) in
20 FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context name ~typ
22 let tactic_of_ast = function
23 | TacticAst.Absurd (_, term) -> Tactics.absurd term
24 | TacticAst.Apply (_, term) -> Tactics.apply term
25 | TacticAst.Assumption _ -> Tactics.assumption
26 | TacticAst.Auto (_,depth,width) ->
27 AutoTactic.auto_tac ?depth ?width ~dbd:(MatitaDb.instance ()) ()
28 | TacticAst.Change (_, what, with_what, pattern) ->
29 Tactics.change ~what ~with_what ~pattern
30 | TacticAst.Clear (_,id) -> Tactics.clear id
31 | TacticAst.ClearBody (_,id) -> Tactics.clearbody id
32 | TacticAst.Contradiction _ -> Tactics.contradiction
33 | TacticAst.Compare (_, term) -> Tactics.compare term
34 | TacticAst.Constructor (_, n) -> Tactics.constructor n
35 | TacticAst.Cut (_, ident, term) ->
36 let names = match ident with None -> [] | Some id -> [id] in
37 Tactics.cut ~mk_fresh_name_callback:(namer_of names) term
38 | TacticAst.DecideEquality _ -> Tactics.decide_equality
39 | TacticAst.Decompose (_,term) -> Tactics.decompose term
40 | TacticAst.Discriminate (_,term) -> Tactics.discriminate term
41 | TacticAst.Elim (_, term, _) ->
42 Tactics.elim_intros term
43 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
44 | TacticAst.Exact (_, term) -> Tactics.exact term
45 | TacticAst.Exists _ -> Tactics.exists
46 | TacticAst.Fail _ -> Tactics.fail
47 | TacticAst.Fold (_, reduction_kind ,term, pattern) ->
49 match reduction_kind with
50 | `Normalize -> CicReduction.normalize ~delta:false ~subst:[]
51 | `Reduce -> ProofEngineReduction.reduce
52 | `Simpl -> ProofEngineReduction.simpl
53 | `Whd -> CicReduction.whd ~delta:false ~subst:[]
55 Tactics.fold ~reduction ~pattern ~term
56 | TacticAst.Fourier _ -> Tactics.fourier
57 | TacticAst.FwdSimpl (_, term) ->
58 Tactics.fwd_simpl ~what:term ~dbd:(MatitaDb.instance ())
59 | TacticAst.Generalize (_,term,ident,pat) ->
60 let names = match ident with None -> [] | Some id -> [id] in
61 Tactics.generalize ~term ~mk_fresh_name_callback:(namer_of names) pat
62 | TacticAst.Goal (_, n) -> Tactics.set_goal n
63 | TacticAst.IdTac _ -> Tactics.id
64 | TacticAst.Injection (_,term) -> Tactics.injection term
65 | TacticAst.Intros (_, None, names) ->
66 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
67 | TacticAst.Intros (_, Some num, names) ->
68 PrimitiveTactics.intros_tac ~howmany:num
69 ~mk_fresh_name_callback:(namer_of names) ()
70 | TacticAst.LApply (_, to_what, what, ident) ->
71 let names = match ident with None -> [] | Some id -> [id] in
72 Tactics.lapply ~mk_fresh_name_callback:(namer_of names) ?to_what what
73 | TacticAst.Left _ -> Tactics.left
74 | TacticAst.LetIn (loc,term,name) ->
75 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
76 | TacticAst.Reduce (_, reduction_kind, pattern) ->
77 (match reduction_kind with
78 | `Normalize -> Tactics.normalize ~pattern
79 | `Reduce -> Tactics.reduce ~pattern
80 | `Simpl -> Tactics.simpl ~pattern
81 | `Whd -> Tactics.whd ~pattern)
82 | TacticAst.Reflexivity _ -> Tactics.reflexivity
83 | TacticAst.Replace (_, pattern, with_what) ->
84 Tactics.replace ~pattern ~with_what
85 | TacticAst.Rewrite (_, dir, t, pattern) ->
87 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
89 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
90 | TacticAst.Right _ -> Tactics.right
91 | TacticAst.Ring _ -> Tactics.ring
92 | TacticAst.Split _ -> Tactics.split
93 | TacticAst.Symmetry _ -> Tactics.symmetry
94 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
96 let eval_tactical status tac =
97 let apply_tactic tactic =
99 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
104 let (_,metasenv,_,_) = proof in
107 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
108 | ng::_ -> Incomplete_proof (proof, ng)
110 { status with proof_status = new_status }
112 let rec tactical_of_ast = function
113 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
114 | TacticAst.Do (loc, num, tactical) ->
115 Tacticals.do_tactic num (tactical_of_ast tactical)
116 | TacticAst.Repeat (loc, tactical) ->
117 Tacticals.repeat_tactic (tactical_of_ast tactical)
118 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
119 Tacticals.seq (List.map tactical_of_ast tacticals)
120 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
121 Tacticals.thens (tactical_of_ast tactical)
122 (List.map tactical_of_ast tacticals)
123 | TacticAst.Tries (loc, tacticals) ->
124 Tacticals.try_tactics
125 (List.map (fun t -> "", tactical_of_ast t) tacticals)
126 | TacticAst.Try (loc, tactical) ->
127 Tacticals.try_tactic (tactical_of_ast tactical)
129 apply_tactic (tactical_of_ast tac)
131 let eval_coercion status coercion =
132 let coer_uri,coer_ty =
137 CicEnvironment.get_obj CicUniv.empty_ugraph uri
140 | Cic.Constant (_,_,ty,_,_)
141 | Cic.Variable (_,_,ty,_,_) ->
144 | Cic.MutConstruct (uri,t,c,_) ->
146 CicEnvironment.get_obj CicUniv.empty_ugraph uri
149 | Cic.InductiveDefinition (l,_,_,_) ->
150 let (_,_,_,cl) = List.nth l t in
151 let (_,cty) = List.nth cl c in
156 (* we have to get the source and the tgt type uri
157 * in Coq syntax we have already their names, but
158 * since we don't support Funclass and similar I think
159 * all the coercion should be of the form
161 * So we should be able to extract them from the coercion type
163 let extract_last_two_p ty =
164 let rec aux = function
165 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
166 | Cic.Prod( _, src, tgt) -> src, tgt
171 let ty_src,ty_tgt = extract_last_two_p coer_ty in
174 let ty_src = CicReduction.whd context ty_src in
175 CicUtil.uri_of_term ty_src
178 let ty_tgt = CicReduction.whd context ty_tgt in
179 CicUtil.uri_of_term ty_tgt
182 (* also adds them to the Db *)
183 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
185 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
186 status new_coercions in
187 {status with proof_status = No_proof}
189 let generate_elimination_principles uri status =
190 let elim sort status =
192 let uri,obj = CicElim.elim_of ~sort uri 0 in
193 MatitaSync.add_obj uri obj status
194 with CicElim.Can_t_eliminate -> status
196 List.fold_left (fun status sort -> elim sort status) status
197 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
199 let generate_projections uri fields status =
200 let projections = CicRecord.projections_of uri fields in
202 (fun status (uri, name, bo) ->
205 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
206 let bo = Unshare.unshare bo in
207 let ty = Unshare.unshare ty in
208 let attrs = [`Class `Projection; `Generated] in
209 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
210 MatitaSync.add_obj uri obj status
212 CicTypeChecker.TypeCheckerFailure s ->
214 ("Unable to create projection " ^ name ^ " cause: " ^ s);
216 | CicEnvironment.Object_not_found uri ->
217 let depend = UriManager.name_of_uri uri in
219 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
223 let eval_command status cmd =
225 | TacticAst.Set (loc, name, value) -> set_option status name value
226 | TacticAst.Qed loc ->
227 let uri, metasenv, bo, ty =
228 match status.proof_status with
229 | Proof (Some uri, metasenv, body, ty) ->
230 uri, metasenv, body, ty
231 | Proof (None, metasenv, body, ty) ->
233 ("Someone allows to start a thm without giving the "^
234 "name/uri. This should be fixed!")
235 | _-> command_error "You can't qed an uncomplete theorem"
237 let suri = UriManager.string_of_uri uri in
238 if metasenv <> [] then
239 command_error "Proof not completed! metasenv is not empty!";
240 let name = UriManager.name_of_uri uri in
241 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
242 MatitaSync.add_obj uri obj status
243 | TacticAst.Coercion (loc, coercion) ->
244 eval_coercion status coercion
245 | TacticAst.Alias (loc, spec) ->
247 | TacticAst.Ident_alias (id,uri) ->
248 {status with aliases =
249 DisambiguateTypes.Environment.add
250 (DisambiguateTypes.Id id)
251 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
253 | TacticAst.Symbol_alias (symb, instance, desc) ->
254 {status with aliases =
255 DisambiguateTypes.Environment.add
256 (DisambiguateTypes.Symbol (symb,instance))
257 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
259 | TacticAst.Number_alias (instance,desc) ->
260 {status with aliases =
261 DisambiguateTypes.Environment.add
262 (DisambiguateTypes.Num instance)
263 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
264 | TacticAst.Obj (loc,obj) ->
267 Cic.Constant (name,_,_,_,_)
268 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
269 | Cic.InductiveDefinition (types,_,_,_) ->
271 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
272 | _ -> assert false in
274 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
276 let metasenv = MatitaMisc.get_proof_metasenv status in
278 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
279 assert (metasenv = metasenv');
281 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
282 let initial_proof = (Some uri, metasenv, bo, ty) in
283 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
285 if metasenv <> [] then
287 "metasenv not empty while giving a definition with body: " ^
288 CicMetaSubst.ppmetasenv metasenv []);
289 let status = MatitaSync.add_obj uri obj status in
291 Cic.Constant _ -> status
292 | Cic.InductiveDefinition (_,_,_,attrs) ->
293 let status = generate_elimination_principles uri status in
294 let rec get_record_attrs =
297 | (`Class (`Record fields))::_ -> Some fields
298 | _::tl -> get_record_attrs tl
300 (match get_record_attrs attrs with
301 None -> status (* not a record *)
302 | Some fields -> generate_projections uri fields status)
304 | Cic.Variable _ -> assert false
306 let eval_executable status ex =
308 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
309 | TacticAst.Command (_, cmd) -> eval_command status cmd
310 | TacticAst.Macro (_, mac) ->
311 command_error (sprintf "The macro %s can't be in a script"
312 (TacticAstPp.pp_macro_cic mac))
314 let eval_comment status c = status
318 | TacticAst.Executable (_,ex) -> eval_executable status ex
319 | TacticAst.Comment (_,c) -> eval_comment status c
321 let disambiguate_term status term =
322 let (aliases, metasenv, cic, _) =
324 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
325 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
326 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
332 match status.proof_status with
333 | No_proof -> Intermediate metasenv
334 | Incomplete_proof ((uri, _, proof, ty), goal) ->
335 Incomplete_proof ((uri, metasenv, proof, ty), goal)
336 | Intermediate _ -> Intermediate metasenv
337 | Proof _ -> assert false
342 proof_status = proof_status }
346 let disambiguate_obj status obj =
349 TacticAst.Inductive (_,(name,_,_,_)::_)
350 | TacticAst.Record (_,name,_,_) ->
351 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
352 | TacticAst.Inductive _ -> assert false
354 let (aliases, metasenv, cic, _) =
356 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
357 ~aliases:(status.aliases) ~uri obj
363 match status.proof_status with
364 | No_proof -> Intermediate metasenv
367 | Proof _ -> assert false
372 proof_status = proof_status }
376 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
377 let interp path = Disambiguate.interpretate_path [] aliases path in
381 | Some path -> Some (interp path) in
382 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
383 (hyp_paths ,goal_path)
385 let disambiguate_tactic status = function
386 | TacticAst.Apply (loc, term) ->
387 let status, cic = disambiguate_term status term in
388 status, TacticAst.Apply (loc, cic)
389 | TacticAst.Absurd (loc, term) ->
390 let status, cic = disambiguate_term status term in
391 status, TacticAst.Absurd (loc, cic)
392 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
393 | TacticAst.Auto (loc,depth,width) -> status, TacticAst.Auto (loc,depth,width)
394 | TacticAst.Change (loc, what, with_what, pattern) ->
395 let status, cic1 = disambiguate_term status what in
396 let status, cic2 = disambiguate_term status with_what in
397 let pattern = disambiguate_pattern status.aliases pattern in
398 status, TacticAst.Change (loc, cic1, cic2, pattern)
399 | TacticAst.Clear (loc,id) -> status,TacticAst.Clear (loc,id)
400 | TacticAst.ClearBody (loc,id) -> status,TacticAst.ClearBody (loc,id)
401 | TacticAst.Compare (loc,term) ->
402 let status, term = disambiguate_term status term in
403 status, TacticAst.Compare (loc,term)
404 | TacticAst.Constructor (loc,n) ->
405 status, TacticAst.Constructor (loc,n)
406 | TacticAst.Contradiction loc ->
407 status, TacticAst.Contradiction loc
408 | TacticAst.Cut (loc, ident, term) ->
409 let status, cic = disambiguate_term status term in
410 status, TacticAst.Cut (loc, ident, cic)
411 | TacticAst.DecideEquality loc ->
412 status, TacticAst.DecideEquality loc
413 | TacticAst.Decompose (loc,term) ->
414 let status,term = disambiguate_term status term in
415 status, TacticAst.Decompose(loc,term)
416 | TacticAst.Discriminate (loc,term) ->
417 let status,term = disambiguate_term status term in
418 status, TacticAst.Discriminate(loc,term)
419 | TacticAst.Exact (loc, term) ->
420 let status, cic = disambiguate_term status term in
421 status, TacticAst.Exact (loc, cic)
422 | TacticAst.Elim (loc, term, Some term') ->
423 let status, cic1 = disambiguate_term status term in
424 let status, cic2 = disambiguate_term status term' in
425 status, TacticAst.Elim (loc, cic1, Some cic2)
426 | TacticAst.Elim (loc, term, None) ->
427 let status, cic = disambiguate_term status term in
428 status, TacticAst.Elim (loc, cic, None)
429 | TacticAst.ElimType (loc, term) ->
430 let status, cic = disambiguate_term status term in
431 status, TacticAst.ElimType (loc, cic)
432 | TacticAst.Exists loc -> status, TacticAst.Exists loc
433 | TacticAst.Fail loc -> status,TacticAst.Fail loc
434 | TacticAst.Fold (loc,reduction_kind, term, pattern) ->
435 let status, term = disambiguate_term status term in
436 let pattern = disambiguate_pattern status.aliases pattern in
437 status, TacticAst.Fold (loc,reduction_kind, term, pattern)
438 | TacticAst.FwdSimpl (loc, term) ->
439 let status, term = disambiguate_term status term in
440 status, TacticAst.FwdSimpl (loc, term)
441 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
442 | TacticAst.Generalize (loc,term,ident,pattern) ->
443 let status,term = disambiguate_term status term in
444 let pattern = disambiguate_pattern status.aliases pattern in
445 status, TacticAst.Generalize(loc,term,ident,pattern)
446 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
447 | TacticAst.IdTac loc -> status,TacticAst.IdTac loc
448 | TacticAst.Injection (loc,term) ->
449 let status, term = disambiguate_term status term in
450 status, TacticAst.Injection (loc,term)
451 | TacticAst.Intros (loc, num, names) ->
452 status, TacticAst.Intros (loc, num, names)
453 | TacticAst.LApply (loc, to_what, what, ident) ->
454 let status, to_what =
458 let status, to_what = disambiguate_term status to_what in
461 let status, what = disambiguate_term status what in
462 status, TacticAst.LApply (loc, to_what, what, ident)
463 | TacticAst.Left loc -> status, TacticAst.Left loc
464 | TacticAst.LetIn (loc, term, name) ->
465 let status, term = disambiguate_term status term in
466 status, TacticAst.LetIn (loc,term,name)
467 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
468 let pattern = disambiguate_pattern status.aliases pattern in
469 status, TacticAst.Reduce(loc, reduction_kind, pattern)
470 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
471 | TacticAst.Replace (loc, pattern, with_what) ->
472 let pattern = disambiguate_pattern status.aliases pattern in
473 let status, with_what = disambiguate_term status with_what in
474 status, TacticAst.Replace (loc, pattern, with_what)
475 | TacticAst.Rewrite (loc, dir, t, pattern) ->
476 let status, term = disambiguate_term status t in
477 let pattern = disambiguate_pattern status.aliases pattern in
478 status, TacticAst.Rewrite (loc, dir, term, pattern)
479 | TacticAst.Right loc -> status, TacticAst.Right loc
480 | TacticAst.Ring loc -> status, TacticAst.Ring loc
481 | TacticAst.Split loc -> status, TacticAst.Split loc
482 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
483 | TacticAst.Transitivity (loc, term) ->
484 let status, cic = disambiguate_term status term in
485 status, TacticAst.Transitivity (loc, cic)
487 let rec disambiguate_tactical status = function
488 | TacticAst.Tactic (loc, tactic) ->
489 let status, tac = disambiguate_tactic status tactic in
490 status, TacticAst.Tactic (loc, tac)
491 | TacticAst.Do (loc, num, tactical) ->
492 let status, tac = disambiguate_tactical status tactical in
493 status, TacticAst.Do (loc, num, tac)
494 | TacticAst.Repeat (loc, tactical) ->
495 let status, tac = disambiguate_tactical status tactical in
496 status, TacticAst.Repeat (loc, tac)
497 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
498 let status, tacticals = disambiguate_tacticals status tacticals in
499 let tacticals = List.rev tacticals in
500 status, TacticAst.Seq (loc, tacticals)
501 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
502 let status, tactical = disambiguate_tactical status tactical in
503 let status, tacticals = disambiguate_tacticals status tacticals in
504 status, TacticAst.Then (loc, tactical, tacticals)
505 | TacticAst.Tries (loc, tacticals) ->
506 let status, tacticals = disambiguate_tacticals status tacticals in
507 status, TacticAst.Tries (loc, tacticals)
508 | TacticAst.Try (loc, tactical) ->
509 let status, tactical = disambiguate_tactical status tactical in
510 status, TacticAst.Try (loc, tactical)
512 and disambiguate_tacticals status tacticals =
513 let status, tacticals =
515 (fun (status, tacticals) tactical ->
516 let status, tac = disambiguate_tactical status tactical in
517 status, tac :: tacticals)
521 let tacticals = List.rev tacticals in
524 let disambiguate_command status = function
525 | TacticAst.Coercion (loc, term) ->
526 let status, term = disambiguate_term status term in
527 status, TacticAst.Coercion (loc,term)
528 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
530 | TacticAst.Alias _ as x -> status, x
531 | TacticAst.Obj (loc,obj) ->
532 let status,obj = disambiguate_obj status obj in
533 status, TacticAst.Obj (loc,obj)
535 let disambiguate_executable status ex =
537 | TacticAst.Tactical (loc, tac) ->
538 let status, tac = disambiguate_tactical status tac in
539 status, (TacticAst.Tactical (loc, tac))
540 | TacticAst.Command (loc, cmd) ->
541 let status, cmd = disambiguate_command status cmd in
542 status, (TacticAst.Command (loc, cmd))
543 | TacticAst.Macro (_, mac) ->
544 command_error (sprintf "The macro %s can't be in a script"
545 (TacticAstPp.pp_macro_ast mac))
547 let disambiguate_comment status c =
549 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
550 | TacticAst.Code (loc,ex) ->
551 let status, ex = disambiguate_executable status ex in
552 status, TacticAst.Code (loc,ex)
554 let disambiguate_statement status statement =
556 | TacticAst.Comment (loc,c) ->
557 let status, c = disambiguate_comment status c in
558 status, TacticAst.Comment (loc,c)
559 | TacticAst.Executable (loc,ex) ->
560 let status, ex = disambiguate_executable status ex in
561 status, TacticAst.Executable (loc,ex)
563 let eval_ast status ast =
564 let status,st = disambiguate_statement status ast in
565 (* this disambiguation step should be deferred to support tacticals *)
568 let eval_from_stream status str cb =
569 let stl = CicTextualParser2.parse_statements str in
571 (fun status ast -> cb status ast;eval_ast status ast) status
574 let eval_string status str =
575 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
577 let default_options () =
579 StringMap.add "baseuri"
581 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
585 StringMap.add "basedir"
586 (String (Helm_registry.get "matita.basedir" ))
593 aliases = DisambiguateTypes.empty_environment;
594 proof_status = No_proof;
595 options = default_options ();