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 (_, term) -> Tactics.cut term
33 | TacticAst.DecideEquality _ -> Tactics.decide_equality
34 | TacticAst.Decompose (_,term) -> Tactics.decompose term
35 | TacticAst.Discriminate (_,term) -> Tactics.discriminate term
36 | TacticAst.Elim (_, term, _) ->
37 Tactics.elim_intros term
38 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
39 | TacticAst.Exact (_, term) -> Tactics.exact term
40 | TacticAst.Exists _ -> Tactics.exists
41 | TacticAst.Fold (_, reduction_kind ,term) ->
43 match reduction_kind with
44 | `Normalize -> CicReduction.normalize ~delta:false ~subst:[]
45 | `Reduce -> ProofEngineReduction.reduce
46 | `Simpl -> ProofEngineReduction.simpl
47 | `Whd -> CicReduction.whd ~delta:false ~subst:[]
49 Tactics.fold ~reduction ~also_in_hypotheses:false ~term
50 | TacticAst.Fourier _ -> Tactics.fourier
51 | TacticAst.FwdSimpl (_, term) ->
52 Tactics.fwd_simpl ~what:term ~dbd:(MatitaDb.instance ())
53 | TacticAst.Generalize (_,term,pat) -> Tactics.generalize term pat
54 | TacticAst.Goal (_, n) -> Tactics.set_goal n
55 | TacticAst.Injection (_,term) -> Tactics.injection term
56 | TacticAst.Intros (_, None, names) ->
57 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
58 | TacticAst.Intros (_, Some num, names) ->
59 PrimitiveTactics.intros_tac ~howmany:num
60 ~mk_fresh_name_callback:(namer_of names) ()
61 | TacticAst.LApply (_, to_what, what) ->
62 Tactics.lapply ?to_what what
63 | TacticAst.Left _ -> Tactics.left
64 | TacticAst.LetIn (loc,term,name) ->
65 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
66 | TacticAst.Reduce (_, reduction_kind, pattern) ->
67 (match reduction_kind with
68 | `Normalize -> Tactics.normalize ~pattern
69 | `Reduce -> Tactics.reduce ~pattern
70 | `Simpl -> Tactics.simpl ~pattern
71 | `Whd -> Tactics.whd ~pattern)
72 | TacticAst.Reflexivity _ -> Tactics.reflexivity
73 | TacticAst.Replace (_, what, with_what) -> Tactics.replace ~what ~with_what
74 | TacticAst.Rewrite (_, dir, t, pattern) ->
76 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
78 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
79 | TacticAst.Right _ -> Tactics.right
80 | TacticAst.Ring _ -> Tactics.ring
81 | TacticAst.Split _ -> Tactics.split
82 | TacticAst.Symmetry _ -> Tactics.symmetry
83 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
85 let eval_tactical status tac =
86 let apply_tactic tactic =
88 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
93 let (_,metasenv,_,_) = proof in
96 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
97 | ng::_ -> Incomplete_proof (proof, ng)
99 { status with proof_status = new_status }
101 let rec tactical_of_ast = function
102 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
103 | TacticAst.Fail loc -> Tacticals.fail
104 | TacticAst.Do (loc, num, tactical) ->
105 Tacticals.do_tactic num (tactical_of_ast tactical)
106 | TacticAst.IdTac loc -> Tacticals.id_tac
107 | TacticAst.Repeat (loc, tactical) ->
108 Tacticals.repeat_tactic (tactical_of_ast tactical)
109 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
110 Tacticals.seq (List.map tactical_of_ast tacticals)
111 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
112 Tacticals.thens (tactical_of_ast tactical)
113 (List.map tactical_of_ast tacticals)
114 | TacticAst.Tries (loc, tacticals) ->
115 Tacticals.try_tactics
116 (List.map (fun t -> "", tactical_of_ast t) tacticals)
117 | TacticAst.Try (loc, tactical) ->
118 Tacticals.try_tactic (tactical_of_ast tactical)
120 apply_tactic (tactical_of_ast tac)
122 let eval_coercion status coercion =
123 let coer_uri,coer_ty =
128 CicEnvironment.get_obj CicUniv.empty_ugraph uri
131 | Cic.Constant (_,_,ty,_,_)
132 | Cic.Variable (_,_,ty,_,_) ->
135 | Cic.MutConstruct (uri,t,c,_) ->
137 CicEnvironment.get_obj CicUniv.empty_ugraph uri
140 | Cic.InductiveDefinition (l,_,_,_) ->
141 let (_,_,_,cl) = List.nth l t in
142 let (_,cty) = List.nth cl c in
147 (* we have to get the source and the tgt type uri
148 * in Coq syntax we have already their names, but
149 * since we don't support Funclass and similar I think
150 * all the coercion should be of the form
152 * So we should be able to extract them from the coercion type
154 let extract_last_two_p ty =
155 let rec aux = function
156 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
157 | Cic.Prod( _, src, tgt) -> src, tgt
162 let ty_src,ty_tgt = extract_last_two_p coer_ty in
165 let ty_src = CicReduction.whd context ty_src in
166 CicUtil.uri_of_term ty_src
169 let ty_tgt = CicReduction.whd context ty_tgt in
170 CicUtil.uri_of_term ty_tgt
173 (* also adds them to the Db *)
174 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
176 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
177 status new_coercions in
178 {status with proof_status = No_proof}
180 let generate_elimination_principles uri status =
181 let elim sort status =
183 let uri,obj = CicElim.elim_of ~sort uri 0 in
184 MatitaSync.add_obj uri obj status
185 with CicElim.Can_t_eliminate -> status
187 List.fold_left (fun status sort -> elim sort status) status
188 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
190 let generate_projections uri fields status =
191 let projections = CicRecord.projections_of uri fields in
193 (fun status (uri, name, bo) ->
196 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
197 let bo = Unshare.unshare bo in
198 let ty = Unshare.unshare ty in
199 let attrs = [`Class `Projection; `Generated] in
200 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
201 MatitaSync.add_obj uri obj status
203 CicTypeChecker.TypeCheckerFailure s ->
205 ("Unable to create projection " ^ name ^ " cause: " ^ s);
207 | CicEnvironment.Object_not_found uri ->
208 let depend = UriManager.name_of_uri uri in
210 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
214 let eval_command status cmd =
216 | TacticAst.Set (loc, name, value) -> set_option status name value
217 | TacticAst.Qed loc ->
218 let uri, metasenv, bo, ty =
219 match status.proof_status with
220 | Proof (Some uri, metasenv, body, ty) ->
221 uri, metasenv, body, ty
222 | Proof (None, metasenv, body, ty) ->
224 ("Someone allows to start a thm without giving the "^
225 "name/uri. This should be fixed!")
226 | _-> command_error "You can't qed an uncomplete theorem"
228 let suri = UriManager.string_of_uri uri in
229 if metasenv <> [] then
230 command_error "Proof not completed! metasenv is not empty!";
231 let name = UriManager.name_of_uri uri in
232 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
233 MatitaSync.add_obj uri obj status
234 | TacticAst.Coercion (loc, coercion) ->
235 eval_coercion status coercion
236 | TacticAst.Alias (loc, spec) ->
238 | TacticAst.Ident_alias (id,uri) ->
239 {status with aliases =
240 DisambiguateTypes.Environment.add
241 (DisambiguateTypes.Id id)
242 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
244 | TacticAst.Symbol_alias (symb, instance, desc) ->
245 {status with aliases =
246 DisambiguateTypes.Environment.add
247 (DisambiguateTypes.Symbol (symb,instance))
248 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
250 | TacticAst.Number_alias (instance,desc) ->
251 {status with aliases =
252 DisambiguateTypes.Environment.add
253 (DisambiguateTypes.Num instance)
254 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
255 | TacticAst.Obj (loc,obj) ->
258 Cic.Constant (name,_,_,_,_)
259 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
260 | Cic.InductiveDefinition (types,_,_,_) ->
262 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
263 | _ -> assert false in
265 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
267 let metasenv = MatitaMisc.get_proof_metasenv status in
269 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
270 assert (metasenv = metasenv');
272 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
273 let initial_proof = (Some uri, metasenv, bo, ty) in
274 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
276 if metasenv <> [] then
278 "metasenv not empty while giving a definition with body: " ^
279 CicMetaSubst.ppmetasenv metasenv []);
280 let status = MatitaSync.add_obj uri obj status in
282 Cic.Constant _ -> status
283 | Cic.InductiveDefinition (_,_,_,attrs) ->
284 let status = generate_elimination_principles uri status in
285 let rec get_record_attrs =
288 | (`Class (`Record fields))::_ -> Some fields
289 | _::tl -> get_record_attrs tl
291 (match get_record_attrs attrs with
292 None -> status (* not a record *)
293 | Some fields -> generate_projections uri fields status)
295 | Cic.Variable _ -> assert false
297 let eval_executable status ex =
299 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
300 | TacticAst.Command (_, cmd) -> eval_command status cmd
301 | TacticAst.Macro (_, mac) ->
302 command_error (sprintf "The macro %s can't be in a script"
303 (TacticAstPp.pp_macro_cic mac))
305 let eval_comment status c = status
309 | TacticAst.Executable (_,ex) -> eval_executable status ex
310 | TacticAst.Comment (_,c) -> eval_comment status c
312 let disambiguate_term status term =
313 let (aliases, metasenv, cic, _) =
315 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
316 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
317 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
323 match status.proof_status with
324 | No_proof -> Intermediate metasenv
325 | Incomplete_proof ((uri, _, proof, ty), goal) ->
326 Incomplete_proof ((uri, metasenv, proof, ty), goal)
327 | Intermediate _ -> Intermediate metasenv
328 | Proof _ -> assert false
333 proof_status = proof_status }
337 let disambiguate_obj status obj =
340 TacticAst.Inductive (_,(name,_,_,_)::_)
341 | TacticAst.Record (_,name,_,_) ->
342 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
343 | TacticAst.Inductive _ -> assert false
345 let (aliases, metasenv, cic, _) =
347 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
348 ~aliases:(status.aliases) ~uri obj
354 match status.proof_status with
355 | No_proof -> Intermediate metasenv
358 | Proof _ -> assert false
363 proof_status = proof_status }
367 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
368 let interp path = Disambiguate.interpretate_path [] aliases path in
372 | Some path -> Some (interp path) in
373 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
374 (hyp_paths ,goal_path)
376 let disambiguate_tactic status = function
377 | TacticAst.Apply (loc, term) ->
378 let status, cic = disambiguate_term status term in
379 status, TacticAst.Apply (loc, cic)
380 | TacticAst.Absurd (loc, term) ->
381 let status, cic = disambiguate_term status term in
382 status, TacticAst.Absurd (loc, cic)
383 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
384 | TacticAst.Auto (loc,depth,width) -> status, TacticAst.Auto (loc,depth,width)
385 | TacticAst.Change (loc, what, with_what, pattern) ->
386 let status, cic1 = disambiguate_term status what in
387 let status, cic2 = disambiguate_term status with_what in
388 let pattern = disambiguate_pattern status.aliases pattern in
389 status, TacticAst.Change (loc, cic1, cic2, pattern)
390 | TacticAst.Compare (loc,term) ->
391 let status, term = disambiguate_term status term in
392 status, TacticAst.Compare (loc,term)
393 | TacticAst.Constructor (loc,n) ->
394 status, TacticAst.Constructor (loc,n)
395 | TacticAst.Contradiction loc ->
396 status, TacticAst.Contradiction loc
397 | TacticAst.Cut (loc, term) ->
398 let status, cic = disambiguate_term status term in
399 status, TacticAst.Cut (loc, cic)
400 | TacticAst.DecideEquality loc ->
401 status, TacticAst.DecideEquality loc
402 | TacticAst.Decompose (loc,term) ->
403 let status,term = disambiguate_term status term in
404 status, TacticAst.Decompose(loc,term)
405 | TacticAst.Discriminate (loc,term) ->
406 let status,term = disambiguate_term status term in
407 status, TacticAst.Discriminate(loc,term)
408 | TacticAst.Exact (loc, term) ->
409 let status, cic = disambiguate_term status term in
410 status, TacticAst.Exact (loc, cic)
411 | TacticAst.Elim (loc, term, Some term') ->
412 let status, cic1 = disambiguate_term status term in
413 let status, cic2 = disambiguate_term status term' in
414 status, TacticAst.Elim (loc, cic1, Some cic2)
415 | TacticAst.Elim (loc, term, None) ->
416 let status, cic = disambiguate_term status term in
417 status, TacticAst.Elim (loc, cic, None)
418 | TacticAst.ElimType (loc, term) ->
419 let status, cic = disambiguate_term status term in
420 status, TacticAst.ElimType (loc, cic)
421 | TacticAst.Exists loc -> status, TacticAst.Exists loc
422 | TacticAst.Fold (loc,reduction_kind, term) ->
423 let status, term = disambiguate_term status term in
424 status, TacticAst.Fold (loc,reduction_kind, term)
425 | TacticAst.FwdSimpl (loc, term) ->
426 let status, term = disambiguate_term status term in
427 status, TacticAst.FwdSimpl (loc, term)
428 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
429 | TacticAst.Generalize (loc,term,pattern) ->
430 let status,term = disambiguate_term status term in
431 let pattern = disambiguate_pattern status.aliases pattern in
432 status, TacticAst.Generalize(loc,term,pattern)
433 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
434 | TacticAst.Injection (loc,term) ->
435 let status, term = disambiguate_term status term in
436 status, TacticAst.Injection (loc,term)
437 | TacticAst.Intros (loc, num, names) ->
438 status, TacticAst.Intros (loc, num, names)
439 | TacticAst.LApply (loc, to_what, what) ->
440 let status, to_what =
443 | Some to_what -> status, Some (disambiguate_term status to_what) in
444 let status, what = disambiguate_term status what in
445 status, TacticAst.LApply (loc, None, what)
446 | TacticAst.Left loc -> status, TacticAst.Left loc
447 | TacticAst.LetIn (loc, term, name) ->
448 let status, term = disambiguate_term status term in
449 status, TacticAst.LetIn (loc,term,name)
450 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
451 let pattern = disambiguate_pattern status.aliases pattern in
452 status, TacticAst.Reduce(loc, reduction_kind, pattern)
453 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
454 | TacticAst.Replace (loc, what, with_what) ->
455 let status, cic1 = disambiguate_term status what in
456 let status, cic2 = disambiguate_term status with_what in
457 status, TacticAst.Replace (loc, cic1, cic2)
458 | TacticAst.Rewrite (loc, dir, t, pattern) ->
459 let status, term = disambiguate_term status t in
460 let pattern = disambiguate_pattern status.aliases pattern in
461 status, TacticAst.Rewrite (loc, dir, term, pattern)
462 | TacticAst.Right loc -> status, TacticAst.Right loc
463 | TacticAst.Ring loc -> status, TacticAst.Ring loc
464 | TacticAst.Split loc -> status, TacticAst.Split loc
465 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
466 | TacticAst.Transitivity (loc, term) ->
467 let status, cic = disambiguate_term status term in
468 status, TacticAst.Transitivity (loc, cic)
470 let rec disambiguate_tactical status = function
471 | TacticAst.Tactic (loc, tactic) ->
472 let status, tac = disambiguate_tactic status tactic in
473 status, TacticAst.Tactic (loc, tac)
474 | TacticAst.Do (loc, num, tactical) ->
475 let status, tac = disambiguate_tactical status tactical in
476 status, TacticAst.Do (loc, num, tac)
477 | TacticAst.Repeat (loc, tactical) ->
478 let status, tac = disambiguate_tactical status tactical in
479 status, TacticAst.Repeat (loc, tac)
480 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
481 let status, tacticals = disambiguate_tacticals status tacticals in
482 let tacticals = List.rev tacticals in
483 status, TacticAst.Seq (loc, tacticals)
484 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
485 let status, tactical = disambiguate_tactical status tactical in
486 let status, tacticals = disambiguate_tacticals status tacticals in
487 status, TacticAst.Then (loc, tactical, tacticals)
488 | TacticAst.Tries (loc, tacticals) ->
489 let status, tacticals = disambiguate_tacticals status tacticals in
490 status, TacticAst.Tries (loc, tacticals)
491 | TacticAst.Try (loc, tactical) ->
492 let status, tactical = disambiguate_tactical status tactical in
493 status, TacticAst.Try (loc, tactical)
494 | (TacticAst.IdTac _ | TacticAst.Fail _) as tac ->
497 and disambiguate_tacticals status tacticals =
498 let status, tacticals =
500 (fun (status, tacticals) tactical ->
501 let status, tac = disambiguate_tactical status tactical in
502 status, tac :: tacticals)
506 let tacticals = List.rev tacticals in
509 let disambiguate_command status = function
510 | TacticAst.Coercion (loc, term) ->
511 let status, term = disambiguate_term status term in
512 status, TacticAst.Coercion (loc,term)
513 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
515 | TacticAst.Alias _ as x -> status, x
516 | TacticAst.Obj (loc,obj) ->
517 let status,obj = disambiguate_obj status obj in
518 status, TacticAst.Obj (loc,obj)
520 let disambiguate_executable status ex =
522 | TacticAst.Tactical (loc, tac) ->
523 let status, tac = disambiguate_tactical status tac in
524 status, (TacticAst.Tactical (loc, tac))
525 | TacticAst.Command (loc, cmd) ->
526 let status, cmd = disambiguate_command status cmd in
527 status, (TacticAst.Command (loc, cmd))
528 | TacticAst.Macro (_, mac) ->
529 command_error (sprintf "The macro %s can't be in a script"
530 (TacticAstPp.pp_macro_ast mac))
532 let disambiguate_comment status c =
534 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
535 | TacticAst.Code (loc,ex) ->
536 let status, ex = disambiguate_executable status ex in
537 status, TacticAst.Code (loc,ex)
539 let disambiguate_statement status statement =
541 | TacticAst.Comment (loc,c) ->
542 let status, c = disambiguate_comment status c in
543 status, TacticAst.Comment (loc,c)
544 | TacticAst.Executable (loc,ex) ->
545 let status, ex = disambiguate_executable status ex in
546 status, TacticAst.Executable (loc,ex)
548 let eval_ast status ast =
549 let status,st = disambiguate_statement status ast in
550 (* this disambiguation step should be deferred to support tacticals *)
553 let eval_from_stream status str cb =
554 let stl = CicTextualParser2.parse_statements str in
556 (fun status ast -> cb status ast;eval_ast status ast) status
559 let eval_string status str =
560 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
562 let default_options () =
564 StringMap.add "baseuri"
566 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
570 StringMap.add "basedir"
571 (String (Helm_registry.get "matita.basedir" ))
578 aliases = DisambiguateTypes.empty_environment;
579 proof_status = No_proof;
580 options = default_options ();