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, _) -> Tactics.change ~what ~with_what
29 | TacticAst.Contradiction _ -> Tactics.contradiction
30 | TacticAst.Compare (_, term) -> Tactics.compare term
31 | TacticAst.Constructor (_, n) -> Tactics.constructor n
32 | TacticAst.Cut (_, ident, term) ->
33 let names = match ident with None -> [] | Some id -> [id] in
34 Tactics.cut ~mk_fresh_name_callback:(namer_of names) term
35 | TacticAst.DecideEquality _ -> Tactics.decide_equality
36 | TacticAst.Decompose (_,term) -> Tactics.decompose term
37 | TacticAst.Discriminate (_,term) -> Tactics.discriminate term
38 | TacticAst.Elim (_, term, _) ->
39 Tactics.elim_intros term
40 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
41 | TacticAst.Exact (_, term) -> Tactics.exact term
42 | TacticAst.Exists _ -> Tactics.exists
43 | TacticAst.Fold (_, reduction_kind ,term) ->
45 match reduction_kind with
46 | `Normalize -> CicReduction.normalize ~delta:false ~subst:[]
47 | `Reduce -> ProofEngineReduction.reduce
48 | `Simpl -> ProofEngineReduction.simpl
49 | `Whd -> CicReduction.whd ~delta:false ~subst:[]
51 Tactics.fold ~reduction ~also_in_hypotheses:false ~term
52 | TacticAst.Fourier _ -> Tactics.fourier
53 | TacticAst.FwdSimpl (_, term) ->
54 Tactics.fwd_simpl ~what:term ~dbd:(MatitaDb.instance ())
55 | TacticAst.Generalize (_,term,pat) -> Tactics.generalize term pat
56 | TacticAst.Goal (_, n) -> Tactics.set_goal n
57 | TacticAst.Injection (_,term) -> Tactics.injection term
58 | TacticAst.Intros (_, None, names) ->
59 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
60 | TacticAst.Intros (_, Some num, names) ->
61 PrimitiveTactics.intros_tac ~howmany:num
62 ~mk_fresh_name_callback:(namer_of names) ()
63 | TacticAst.LApply (_, to_what, what) ->
64 Tactics.lapply ?to_what what
65 | TacticAst.Left _ -> Tactics.left
66 | TacticAst.LetIn (loc,term,name) ->
67 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
68 | TacticAst.Reduce (_, reduction_kind, pattern) ->
69 (match reduction_kind with
70 | `Normalize -> Tactics.normalize ~pattern
71 | `Reduce -> Tactics.reduce ~pattern
72 | `Simpl -> Tactics.simpl ~pattern
73 | `Whd -> Tactics.whd ~pattern)
74 | TacticAst.Reflexivity _ -> Tactics.reflexivity
75 | TacticAst.Replace (_, what, with_what) -> Tactics.replace ~what ~with_what
76 | TacticAst.Rewrite (_, dir, t, pattern) ->
78 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
80 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
81 | TacticAst.Right _ -> Tactics.right
82 | TacticAst.Ring _ -> Tactics.ring
83 | TacticAst.Split _ -> Tactics.split
84 | TacticAst.Symmetry _ -> Tactics.symmetry
85 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
87 let eval_tactical status tac =
88 let apply_tactic tactic =
90 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
95 let (_,metasenv,_,_) = proof in
98 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
99 | ng::_ -> Incomplete_proof (proof, ng)
101 { status with proof_status = new_status }
103 let rec tactical_of_ast = function
104 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
105 | TacticAst.Fail loc -> Tacticals.fail
106 | TacticAst.Do (loc, num, tactical) ->
107 Tacticals.do_tactic num (tactical_of_ast tactical)
108 | TacticAst.IdTac loc -> Tacticals.id_tac
109 | TacticAst.Repeat (loc, tactical) ->
110 Tacticals.repeat_tactic (tactical_of_ast tactical)
111 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
112 Tacticals.seq (List.map tactical_of_ast tacticals)
113 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
114 Tacticals.thens (tactical_of_ast tactical)
115 (List.map tactical_of_ast tacticals)
116 | TacticAst.Tries (loc, tacticals) ->
117 Tacticals.try_tactics
118 (List.map (fun t -> "", tactical_of_ast t) tacticals)
119 | TacticAst.Try (loc, tactical) ->
120 Tacticals.try_tactic (tactical_of_ast tactical)
122 apply_tactic (tactical_of_ast tac)
124 let eval_coercion status coercion =
125 let coer_uri,coer_ty =
130 CicEnvironment.get_obj CicUniv.empty_ugraph uri
133 | Cic.Constant (_,_,ty,_,_)
134 | Cic.Variable (_,_,ty,_,_) ->
137 | Cic.MutConstruct (uri,t,c,_) ->
139 CicEnvironment.get_obj CicUniv.empty_ugraph uri
142 | Cic.InductiveDefinition (l,_,_,_) ->
143 let (_,_,_,cl) = List.nth l t in
144 let (_,cty) = List.nth cl c in
149 (* we have to get the source and the tgt type uri
150 * in Coq syntax we have already their names, but
151 * since we don't support Funclass and similar I think
152 * all the coercion should be of the form
154 * So we should be able to extract them from the coercion type
156 let extract_last_two_p ty =
157 let rec aux = function
158 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
159 | Cic.Prod( _, src, tgt) -> src, tgt
164 let ty_src,ty_tgt = extract_last_two_p coer_ty in
167 let ty_src = CicReduction.whd context ty_src in
168 CicUtil.uri_of_term ty_src
171 let ty_tgt = CicReduction.whd context ty_tgt in
172 CicUtil.uri_of_term ty_tgt
175 (* also adds them to the Db *)
176 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
178 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
179 status new_coercions in
180 {status with proof_status = No_proof}
182 let generate_elimination_principles uri status =
183 let elim sort status =
185 let uri,obj = CicElim.elim_of ~sort uri 0 in
186 MatitaSync.add_obj uri obj status
187 with CicElim.Can_t_eliminate -> status
189 List.fold_left (fun status sort -> elim sort status) status
190 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
192 let generate_projections uri fields status =
193 let projections = CicRecord.projections_of uri fields in
195 (fun status (uri, name, bo) ->
198 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
199 let bo = Unshare.unshare bo in
200 let ty = Unshare.unshare ty in
201 let attrs = [`Class `Projection; `Generated] in
202 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
203 MatitaSync.add_obj uri obj status
205 CicTypeChecker.TypeCheckerFailure s ->
207 ("Unable to create projection " ^ name ^ " cause: " ^ s);
209 | CicEnvironment.Object_not_found uri ->
210 let depend = UriManager.name_of_uri uri in
212 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
216 let eval_command status cmd =
218 | TacticAst.Set (loc, name, value) -> set_option status name value
219 | TacticAst.Qed loc ->
220 let uri, metasenv, bo, ty =
221 match status.proof_status with
222 | Proof (Some uri, metasenv, body, ty) ->
223 uri, metasenv, body, ty
224 | Proof (None, metasenv, body, ty) ->
226 ("Someone allows to start a thm without giving the "^
227 "name/uri. This should be fixed!")
228 | _-> command_error "You can't qed an uncomplete theorem"
230 let suri = UriManager.string_of_uri uri in
231 if metasenv <> [] then
232 command_error "Proof not completed! metasenv is not empty!";
233 let name = UriManager.name_of_uri uri in
234 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
235 MatitaSync.add_obj uri obj status
236 | TacticAst.Coercion (loc, coercion) ->
237 eval_coercion status coercion
238 | TacticAst.Alias (loc, spec) ->
240 | TacticAst.Ident_alias (id,uri) ->
241 {status with aliases =
242 DisambiguateTypes.Environment.add
243 (DisambiguateTypes.Id id)
244 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
246 | TacticAst.Symbol_alias (symb, instance, desc) ->
247 {status with aliases =
248 DisambiguateTypes.Environment.add
249 (DisambiguateTypes.Symbol (symb,instance))
250 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
252 | TacticAst.Number_alias (instance,desc) ->
253 {status with aliases =
254 DisambiguateTypes.Environment.add
255 (DisambiguateTypes.Num instance)
256 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
257 | TacticAst.Obj (loc,obj) ->
260 Cic.Constant (name,_,_,_,_)
261 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
262 | Cic.InductiveDefinition (types,_,_,_) ->
264 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
265 | _ -> assert false in
267 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
269 let metasenv = MatitaMisc.get_proof_metasenv status in
271 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
272 assert (metasenv = metasenv');
274 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
275 let initial_proof = (Some uri, metasenv, bo, ty) in
276 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
278 if metasenv <> [] then
280 "metasenv not empty while giving a definition with body: " ^
281 CicMetaSubst.ppmetasenv metasenv []);
282 let status = MatitaSync.add_obj uri obj status in
284 Cic.Constant _ -> status
285 | Cic.InductiveDefinition (_,_,_,attrs) ->
286 let status = generate_elimination_principles uri status in
287 let rec get_record_attrs =
290 | (`Class (`Record fields))::_ -> Some fields
291 | _::tl -> get_record_attrs tl
293 (match get_record_attrs attrs with
294 None -> status (* not a record *)
295 | Some fields -> generate_projections uri fields status)
297 | Cic.Variable _ -> assert false
299 let eval_executable status ex =
301 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
302 | TacticAst.Command (_, cmd) -> eval_command status cmd
303 | TacticAst.Macro (_, mac) ->
304 command_error (sprintf "The macro %s can't be in a script"
305 (TacticAstPp.pp_macro_cic mac))
307 let eval_comment status c = status
311 | TacticAst.Executable (_,ex) -> eval_executable status ex
312 | TacticAst.Comment (_,c) -> eval_comment status c
314 let disambiguate_term status term =
315 let (aliases, metasenv, cic, _) =
317 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
318 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
319 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
325 match status.proof_status with
326 | No_proof -> Intermediate metasenv
327 | Incomplete_proof ((uri, _, proof, ty), goal) ->
328 Incomplete_proof ((uri, metasenv, proof, ty), goal)
329 | Intermediate _ -> Intermediate metasenv
330 | Proof _ -> assert false
335 proof_status = proof_status }
339 let disambiguate_obj status obj =
342 TacticAst.Inductive (_,(name,_,_,_)::_)
343 | TacticAst.Record (_,name,_,_) ->
344 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
345 | TacticAst.Inductive _ -> assert false
347 let (aliases, metasenv, cic, _) =
349 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
350 ~aliases:(status.aliases) ~uri obj
356 match status.proof_status with
357 | No_proof -> Intermediate metasenv
360 | Proof _ -> assert false
365 proof_status = proof_status }
369 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
370 let interp path = Disambiguate.interpretate_path [] aliases path in
374 | Some path -> Some (interp path) in
375 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
376 (hyp_paths ,goal_path)
378 let disambiguate_tactic status = function
379 | TacticAst.Apply (loc, term) ->
380 let status, cic = disambiguate_term status term in
381 status, TacticAst.Apply (loc, cic)
382 | TacticAst.Absurd (loc, term) ->
383 let status, cic = disambiguate_term status term in
384 status, TacticAst.Absurd (loc, cic)
385 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
386 | TacticAst.Auto (loc,depth,width) -> status, TacticAst.Auto (loc,depth,width)
387 | TacticAst.Change (loc, what, with_what, pattern) ->
388 let status, cic1 = disambiguate_term status what in
389 let status, cic2 = disambiguate_term status with_what in
390 let pattern = disambiguate_pattern status.aliases pattern in
391 status, TacticAst.Change (loc, cic1, cic2, pattern)
392 | TacticAst.Compare (loc,term) ->
393 let status, term = disambiguate_term status term in
394 status, TacticAst.Compare (loc,term)
395 | TacticAst.Constructor (loc,n) ->
396 status, TacticAst.Constructor (loc,n)
397 | TacticAst.Contradiction loc ->
398 status, TacticAst.Contradiction loc
399 | TacticAst.Cut (loc, ident, term) ->
400 let status, cic = disambiguate_term status term in
401 status, TacticAst.Cut (loc, ident, cic)
402 | TacticAst.DecideEquality loc ->
403 status, TacticAst.DecideEquality loc
404 | TacticAst.Decompose (loc,term) ->
405 let status,term = disambiguate_term status term in
406 status, TacticAst.Decompose(loc,term)
407 | TacticAst.Discriminate (loc,term) ->
408 let status,term = disambiguate_term status term in
409 status, TacticAst.Discriminate(loc,term)
410 | TacticAst.Exact (loc, term) ->
411 let status, cic = disambiguate_term status term in
412 status, TacticAst.Exact (loc, cic)
413 | TacticAst.Elim (loc, term, Some term') ->
414 let status, cic1 = disambiguate_term status term in
415 let status, cic2 = disambiguate_term status term' in
416 status, TacticAst.Elim (loc, cic1, Some cic2)
417 | TacticAst.Elim (loc, term, None) ->
418 let status, cic = disambiguate_term status term in
419 status, TacticAst.Elim (loc, cic, None)
420 | TacticAst.ElimType (loc, term) ->
421 let status, cic = disambiguate_term status term in
422 status, TacticAst.ElimType (loc, cic)
423 | TacticAst.Exists loc -> status, TacticAst.Exists loc
424 | TacticAst.Fold (loc,reduction_kind, term) ->
425 let status, term = disambiguate_term status term in
426 status, TacticAst.Fold (loc,reduction_kind, term)
427 | TacticAst.FwdSimpl (loc, term) ->
428 let status, term = disambiguate_term status term in
429 status, TacticAst.FwdSimpl (loc, term)
430 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
431 | TacticAst.Generalize (loc,term,pattern) ->
432 let status,term = disambiguate_term status term in
433 let pattern = disambiguate_pattern status.aliases pattern in
434 status, TacticAst.Generalize(loc,term,pattern)
435 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
436 | TacticAst.Injection (loc,term) ->
437 let status, term = disambiguate_term status term in
438 status, TacticAst.Injection (loc,term)
439 | TacticAst.Intros (loc, num, names) ->
440 status, TacticAst.Intros (loc, num, names)
441 | TacticAst.LApply (loc, to_what, what) ->
442 let status, to_what =
446 let status, to_what = disambiguate_term status to_what in
449 let status, what = disambiguate_term status what in
450 status, TacticAst.LApply (loc, to_what, what)
451 | TacticAst.Left loc -> status, TacticAst.Left loc
452 | TacticAst.LetIn (loc, term, name) ->
453 let status, term = disambiguate_term status term in
454 status, TacticAst.LetIn (loc,term,name)
455 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
456 let pattern = disambiguate_pattern status.aliases pattern in
457 status, TacticAst.Reduce(loc, reduction_kind, pattern)
458 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
459 | TacticAst.Replace (loc, what, with_what) ->
460 let status, cic1 = disambiguate_term status what in
461 let status, cic2 = disambiguate_term status with_what in
462 status, TacticAst.Replace (loc, cic1, cic2)
463 | TacticAst.Rewrite (loc, dir, t, pattern) ->
464 let status, term = disambiguate_term status t in
465 let pattern = disambiguate_pattern status.aliases pattern in
466 status, TacticAst.Rewrite (loc, dir, term, pattern)
467 | TacticAst.Right loc -> status, TacticAst.Right loc
468 | TacticAst.Ring loc -> status, TacticAst.Ring loc
469 | TacticAst.Split loc -> status, TacticAst.Split loc
470 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
471 | TacticAst.Transitivity (loc, term) ->
472 let status, cic = disambiguate_term status term in
473 status, TacticAst.Transitivity (loc, cic)
475 let rec disambiguate_tactical status = function
476 | TacticAst.Tactic (loc, tactic) ->
477 let status, tac = disambiguate_tactic status tactic in
478 status, TacticAst.Tactic (loc, tac)
479 | TacticAst.Do (loc, num, tactical) ->
480 let status, tac = disambiguate_tactical status tactical in
481 status, TacticAst.Do (loc, num, tac)
482 | TacticAst.Repeat (loc, tactical) ->
483 let status, tac = disambiguate_tactical status tactical in
484 status, TacticAst.Repeat (loc, tac)
485 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
486 let status, tacticals = disambiguate_tacticals status tacticals in
487 let tacticals = List.rev tacticals in
488 status, TacticAst.Seq (loc, tacticals)
489 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
490 let status, tactical = disambiguate_tactical status tactical in
491 let status, tacticals = disambiguate_tacticals status tacticals in
492 status, TacticAst.Then (loc, tactical, tacticals)
493 | TacticAst.Tries (loc, tacticals) ->
494 let status, tacticals = disambiguate_tacticals status tacticals in
495 status, TacticAst.Tries (loc, tacticals)
496 | TacticAst.Try (loc, tactical) ->
497 let status, tactical = disambiguate_tactical status tactical in
498 status, TacticAst.Try (loc, tactical)
499 | (TacticAst.IdTac _ | TacticAst.Fail _) as tac ->
502 and disambiguate_tacticals status tacticals =
503 let status, tacticals =
505 (fun (status, tacticals) tactical ->
506 let status, tac = disambiguate_tactical status tactical in
507 status, tac :: tacticals)
511 let tacticals = List.rev tacticals in
514 let disambiguate_command status = function
515 | TacticAst.Coercion (loc, term) ->
516 let status, term = disambiguate_term status term in
517 status, TacticAst.Coercion (loc,term)
518 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
520 | TacticAst.Alias _ as x -> status, x
521 | TacticAst.Obj (loc,obj) ->
522 let status,obj = disambiguate_obj status obj in
523 status, TacticAst.Obj (loc,obj)
525 let disambiguate_executable status ex =
527 | TacticAst.Tactical (loc, tac) ->
528 let status, tac = disambiguate_tactical status tac in
529 status, (TacticAst.Tactical (loc, tac))
530 | TacticAst.Command (loc, cmd) ->
531 let status, cmd = disambiguate_command status cmd in
532 status, (TacticAst.Command (loc, cmd))
533 | TacticAst.Macro (_, mac) ->
534 command_error (sprintf "The macro %s can't be in a script"
535 (TacticAstPp.pp_macro_ast mac))
537 let disambiguate_comment status c =
539 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
540 | TacticAst.Code (loc,ex) ->
541 let status, ex = disambiguate_executable status ex in
542 status, TacticAst.Code (loc,ex)
544 let disambiguate_statement status statement =
546 | TacticAst.Comment (loc,c) ->
547 let status, c = disambiguate_comment status c in
548 status, TacticAst.Comment (loc,c)
549 | TacticAst.Executable (loc,ex) ->
550 let status, ex = disambiguate_executable status ex in
551 status, TacticAst.Executable (loc,ex)
553 let eval_ast status ast =
554 let status,st = disambiguate_statement status ast in
555 (* this disambiguation step should be deferred to support tacticals *)
558 let eval_from_stream status str cb =
559 let stl = CicTextualParser2.parse_statements str in
561 (fun status ast -> cb status ast;eval_ast status ast) status
564 let eval_string status str =
565 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
567 let default_options () =
569 StringMap.add "baseuri"
571 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
575 StringMap.add "basedir"
576 (String (Helm_registry.get "matita.basedir" ))
583 aliases = DisambiguateTypes.empty_environment;
584 proof_status = No_proof;
585 options = default_options ();