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.Clear (_,id) -> Tactics.clear id
30 | TacticAst.ClearBody (_,id) -> Tactics.clearbody id
31 | TacticAst.Contradiction _ -> Tactics.contradiction
32 | TacticAst.Compare (_, term) -> Tactics.compare term
33 | TacticAst.Constructor (_, n) -> Tactics.constructor n
34 | TacticAst.Cut (_, ident, term) ->
35 let names = match ident with None -> [] | Some id -> [id] in
36 Tactics.cut ~mk_fresh_name_callback:(namer_of names) term
37 | TacticAst.DecideEquality _ -> Tactics.decide_equality
38 | TacticAst.Decompose (_,term) -> Tactics.decompose term
39 | TacticAst.Discriminate (_,term) -> Tactics.discriminate term
40 | TacticAst.Elim (_, term, _) ->
41 Tactics.elim_intros term
42 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
43 | TacticAst.Exact (_, term) -> Tactics.exact term
44 | TacticAst.Exists _ -> Tactics.exists
45 | TacticAst.Fail _ -> Tactics.fail
46 | TacticAst.Fold (_, reduction_kind ,term, pattern) ->
48 match reduction_kind with
49 | `Normalize -> CicReduction.normalize ~delta:false ~subst:[]
50 | `Reduce -> ProofEngineReduction.reduce
51 | `Simpl -> ProofEngineReduction.simpl
52 | `Whd -> CicReduction.whd ~delta:false ~subst:[]
54 Tactics.fold ~reduction ~pattern ~term
55 | TacticAst.Fourier _ -> Tactics.fourier
56 | TacticAst.FwdSimpl (_, term) ->
57 Tactics.fwd_simpl ~what:term ~dbd:(MatitaDb.instance ())
58 | TacticAst.Generalize (_,term,ident,pat) ->
59 let names = match ident with None -> [] | Some id -> [id] in
60 Tactics.generalize ~term ~mk_fresh_name_callback:(namer_of names) pat
61 | TacticAst.Goal (_, n) -> Tactics.set_goal n
62 | TacticAst.IdTac _ -> Tactics.id
63 | TacticAst.Injection (_,term) -> Tactics.injection term
64 | TacticAst.Intros (_, None, names) ->
65 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
66 | TacticAst.Intros (_, Some num, names) ->
67 PrimitiveTactics.intros_tac ~howmany:num
68 ~mk_fresh_name_callback:(namer_of names) ()
69 | TacticAst.LApply (_, to_what, what) ->
70 Tactics.lapply ?to_what what
71 | TacticAst.Left _ -> Tactics.left
72 | TacticAst.LetIn (loc,term,name) ->
73 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
74 | TacticAst.Reduce (_, reduction_kind, pattern) ->
75 (match reduction_kind with
76 | `Normalize -> Tactics.normalize ~pattern
77 | `Reduce -> Tactics.reduce ~pattern
78 | `Simpl -> Tactics.simpl ~pattern
79 | `Whd -> Tactics.whd ~pattern)
80 | TacticAst.Reflexivity _ -> Tactics.reflexivity
81 | TacticAst.Replace (_, pattern, with_what) ->
82 Tactics.replace ~pattern ~with_what
83 | TacticAst.Rewrite (_, dir, t, pattern) ->
85 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
87 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
88 | TacticAst.Right _ -> Tactics.right
89 | TacticAst.Ring _ -> Tactics.ring
90 | TacticAst.Split _ -> Tactics.split
91 | TacticAst.Symmetry _ -> Tactics.symmetry
92 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
94 let eval_tactical status tac =
95 let apply_tactic tactic =
97 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
102 let (_,metasenv,_,_) = proof in
105 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
106 | ng::_ -> Incomplete_proof (proof, ng)
108 { status with proof_status = new_status }
110 let rec tactical_of_ast = function
111 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
112 | TacticAst.Do (loc, num, tactical) ->
113 Tacticals.do_tactic num (tactical_of_ast tactical)
114 | TacticAst.Repeat (loc, tactical) ->
115 Tacticals.repeat_tactic (tactical_of_ast tactical)
116 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
117 Tacticals.seq (List.map tactical_of_ast tacticals)
118 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
119 Tacticals.thens (tactical_of_ast tactical)
120 (List.map tactical_of_ast tacticals)
121 | TacticAst.Tries (loc, tacticals) ->
122 Tacticals.try_tactics
123 (List.map (fun t -> "", tactical_of_ast t) tacticals)
124 | TacticAst.Try (loc, tactical) ->
125 Tacticals.try_tactic (tactical_of_ast tactical)
127 apply_tactic (tactical_of_ast tac)
129 let eval_coercion status coercion =
130 let coer_uri,coer_ty =
135 CicEnvironment.get_obj CicUniv.empty_ugraph uri
138 | Cic.Constant (_,_,ty,_,_)
139 | Cic.Variable (_,_,ty,_,_) ->
142 | Cic.MutConstruct (uri,t,c,_) ->
144 CicEnvironment.get_obj CicUniv.empty_ugraph uri
147 | Cic.InductiveDefinition (l,_,_,_) ->
148 let (_,_,_,cl) = List.nth l t in
149 let (_,cty) = List.nth cl c in
154 (* we have to get the source and the tgt type uri
155 * in Coq syntax we have already their names, but
156 * since we don't support Funclass and similar I think
157 * all the coercion should be of the form
159 * So we should be able to extract them from the coercion type
161 let extract_last_two_p ty =
162 let rec aux = function
163 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
164 | Cic.Prod( _, src, tgt) -> src, tgt
169 let ty_src,ty_tgt = extract_last_two_p coer_ty in
172 let ty_src = CicReduction.whd context ty_src in
173 CicUtil.uri_of_term ty_src
176 let ty_tgt = CicReduction.whd context ty_tgt in
177 CicUtil.uri_of_term ty_tgt
180 (* also adds them to the Db *)
181 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
183 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
184 status new_coercions in
185 {status with proof_status = No_proof}
187 let generate_elimination_principles uri status =
188 let elim sort status =
190 let uri,obj = CicElim.elim_of ~sort uri 0 in
191 MatitaSync.add_obj uri obj status
192 with CicElim.Can_t_eliminate -> status
194 List.fold_left (fun status sort -> elim sort status) status
195 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
197 let generate_projections uri fields status =
198 let projections = CicRecord.projections_of uri fields in
200 (fun status (uri, name, bo) ->
203 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
204 let bo = Unshare.unshare bo in
205 let ty = Unshare.unshare ty in
206 let attrs = [`Class `Projection; `Generated] in
207 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
208 MatitaSync.add_obj uri obj status
210 CicTypeChecker.TypeCheckerFailure s ->
212 ("Unable to create projection " ^ name ^ " cause: " ^ s);
214 | CicEnvironment.Object_not_found uri ->
215 let depend = UriManager.name_of_uri uri in
217 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
221 let eval_command status cmd =
223 | TacticAst.Set (loc, name, value) -> set_option status name value
224 | TacticAst.Qed loc ->
225 let uri, metasenv, bo, ty =
226 match status.proof_status with
227 | Proof (Some uri, metasenv, body, ty) ->
228 uri, metasenv, body, ty
229 | Proof (None, metasenv, body, ty) ->
231 ("Someone allows to start a thm without giving the "^
232 "name/uri. This should be fixed!")
233 | _-> command_error "You can't qed an uncomplete theorem"
235 let suri = UriManager.string_of_uri uri in
236 if metasenv <> [] then
237 command_error "Proof not completed! metasenv is not empty!";
238 let name = UriManager.name_of_uri uri in
239 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
240 MatitaSync.add_obj uri obj status
241 | TacticAst.Coercion (loc, coercion) ->
242 eval_coercion status coercion
243 | TacticAst.Alias (loc, spec) ->
245 | TacticAst.Ident_alias (id,uri) ->
246 {status with aliases =
247 DisambiguateTypes.Environment.add
248 (DisambiguateTypes.Id id)
249 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
251 | TacticAst.Symbol_alias (symb, instance, desc) ->
252 {status with aliases =
253 DisambiguateTypes.Environment.add
254 (DisambiguateTypes.Symbol (symb,instance))
255 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
257 | TacticAst.Number_alias (instance,desc) ->
258 {status with aliases =
259 DisambiguateTypes.Environment.add
260 (DisambiguateTypes.Num instance)
261 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
262 | TacticAst.Obj (loc,obj) ->
265 Cic.Constant (name,_,_,_,_)
266 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
267 | Cic.InductiveDefinition (types,_,_,_) ->
269 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
270 | _ -> assert false in
272 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
274 let metasenv = MatitaMisc.get_proof_metasenv status in
276 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
277 assert (metasenv = metasenv');
279 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
280 let initial_proof = (Some uri, metasenv, bo, ty) in
281 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
283 if metasenv <> [] then
285 "metasenv not empty while giving a definition with body: " ^
286 CicMetaSubst.ppmetasenv metasenv []);
287 let status = MatitaSync.add_obj uri obj status in
289 Cic.Constant _ -> status
290 | Cic.InductiveDefinition (_,_,_,attrs) ->
291 let status = generate_elimination_principles uri status in
292 let rec get_record_attrs =
295 | (`Class (`Record fields))::_ -> Some fields
296 | _::tl -> get_record_attrs tl
298 (match get_record_attrs attrs with
299 None -> status (* not a record *)
300 | Some fields -> generate_projections uri fields status)
302 | Cic.Variable _ -> assert false
304 let eval_executable status ex =
306 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
307 | TacticAst.Command (_, cmd) -> eval_command status cmd
308 | TacticAst.Macro (_, mac) ->
309 command_error (sprintf "The macro %s can't be in a script"
310 (TacticAstPp.pp_macro_cic mac))
312 let eval_comment status c = status
316 | TacticAst.Executable (_,ex) -> eval_executable status ex
317 | TacticAst.Comment (_,c) -> eval_comment status c
319 let disambiguate_term status term =
320 let (aliases, metasenv, cic, _) =
322 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
323 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
324 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
330 match status.proof_status with
331 | No_proof -> Intermediate metasenv
332 | Incomplete_proof ((uri, _, proof, ty), goal) ->
333 Incomplete_proof ((uri, metasenv, proof, ty), goal)
334 | Intermediate _ -> Intermediate metasenv
335 | Proof _ -> assert false
340 proof_status = proof_status }
344 let disambiguate_obj status obj =
347 TacticAst.Inductive (_,(name,_,_,_)::_)
348 | TacticAst.Record (_,name,_,_) ->
349 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
350 | TacticAst.Inductive _ -> assert false
352 let (aliases, metasenv, cic, _) =
354 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
355 ~aliases:(status.aliases) ~uri obj
361 match status.proof_status with
362 | No_proof -> Intermediate metasenv
365 | Proof _ -> assert false
370 proof_status = proof_status }
374 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
375 let interp path = Disambiguate.interpretate_path [] aliases path in
379 | Some path -> Some (interp path) in
380 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
381 (hyp_paths ,goal_path)
383 let disambiguate_tactic status = function
384 | TacticAst.Apply (loc, term) ->
385 let status, cic = disambiguate_term status term in
386 status, TacticAst.Apply (loc, cic)
387 | TacticAst.Absurd (loc, term) ->
388 let status, cic = disambiguate_term status term in
389 status, TacticAst.Absurd (loc, cic)
390 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
391 | TacticAst.Auto (loc,depth,width) -> status, TacticAst.Auto (loc,depth,width)
392 | TacticAst.Change (loc, what, with_what, pattern) ->
393 let status, cic1 = disambiguate_term status what in
394 let status, cic2 = disambiguate_term status with_what in
395 let pattern = disambiguate_pattern status.aliases pattern in
396 status, TacticAst.Change (loc, cic1, cic2, pattern)
397 | TacticAst.Clear (loc,id) -> status,TacticAst.Clear (loc,id)
398 | TacticAst.ClearBody (loc,id) -> status,TacticAst.ClearBody (loc,id)
399 | TacticAst.Compare (loc,term) ->
400 let status, term = disambiguate_term status term in
401 status, TacticAst.Compare (loc,term)
402 | TacticAst.Constructor (loc,n) ->
403 status, TacticAst.Constructor (loc,n)
404 | TacticAst.Contradiction loc ->
405 status, TacticAst.Contradiction loc
406 | TacticAst.Cut (loc, ident, term) ->
407 let status, cic = disambiguate_term status term in
408 status, TacticAst.Cut (loc, ident, cic)
409 | TacticAst.DecideEquality loc ->
410 status, TacticAst.DecideEquality loc
411 | TacticAst.Decompose (loc,term) ->
412 let status,term = disambiguate_term status term in
413 status, TacticAst.Decompose(loc,term)
414 | TacticAst.Discriminate (loc,term) ->
415 let status,term = disambiguate_term status term in
416 status, TacticAst.Discriminate(loc,term)
417 | TacticAst.Exact (loc, term) ->
418 let status, cic = disambiguate_term status term in
419 status, TacticAst.Exact (loc, cic)
420 | TacticAst.Elim (loc, term, Some term') ->
421 let status, cic1 = disambiguate_term status term in
422 let status, cic2 = disambiguate_term status term' in
423 status, TacticAst.Elim (loc, cic1, Some cic2)
424 | TacticAst.Elim (loc, term, None) ->
425 let status, cic = disambiguate_term status term in
426 status, TacticAst.Elim (loc, cic, None)
427 | TacticAst.ElimType (loc, term) ->
428 let status, cic = disambiguate_term status term in
429 status, TacticAst.ElimType (loc, cic)
430 | TacticAst.Exists loc -> status, TacticAst.Exists loc
431 | TacticAst.Fail loc -> status,TacticAst.Fail loc
432 | TacticAst.Fold (loc,reduction_kind, term, pattern) ->
433 let status, term = disambiguate_term status term in
434 let pattern = disambiguate_pattern status.aliases pattern in
435 status, TacticAst.Fold (loc,reduction_kind, term, pattern)
436 | TacticAst.FwdSimpl (loc, term) ->
437 let status, term = disambiguate_term status term in
438 status, TacticAst.FwdSimpl (loc, term)
439 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
440 | TacticAst.Generalize (loc,term,ident,pattern) ->
441 let status,term = disambiguate_term status term in
442 let pattern = disambiguate_pattern status.aliases pattern in
443 status, TacticAst.Generalize(loc,term,ident,pattern)
444 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
445 | TacticAst.IdTac loc -> status,TacticAst.IdTac loc
446 | TacticAst.Injection (loc,term) ->
447 let status, term = disambiguate_term status term in
448 status, TacticAst.Injection (loc,term)
449 | TacticAst.Intros (loc, num, names) ->
450 status, TacticAst.Intros (loc, num, names)
451 | TacticAst.LApply (loc, to_what, what) ->
452 let status, to_what =
456 let status, to_what = disambiguate_term status to_what in
459 let status, what = disambiguate_term status what in
460 status, TacticAst.LApply (loc, to_what, what)
461 | TacticAst.Left loc -> status, TacticAst.Left loc
462 | TacticAst.LetIn (loc, term, name) ->
463 let status, term = disambiguate_term status term in
464 status, TacticAst.LetIn (loc,term,name)
465 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
466 let pattern = disambiguate_pattern status.aliases pattern in
467 status, TacticAst.Reduce(loc, reduction_kind, pattern)
468 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
469 | TacticAst.Replace (loc, pattern, with_what) ->
470 let pattern = disambiguate_pattern status.aliases pattern in
471 let status, with_what = disambiguate_term status with_what in
472 status, TacticAst.Replace (loc, pattern, with_what)
473 | TacticAst.Rewrite (loc, dir, t, pattern) ->
474 let status, term = disambiguate_term status t in
475 let pattern = disambiguate_pattern status.aliases pattern in
476 status, TacticAst.Rewrite (loc, dir, term, pattern)
477 | TacticAst.Right loc -> status, TacticAst.Right loc
478 | TacticAst.Ring loc -> status, TacticAst.Ring loc
479 | TacticAst.Split loc -> status, TacticAst.Split loc
480 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
481 | TacticAst.Transitivity (loc, term) ->
482 let status, cic = disambiguate_term status term in
483 status, TacticAst.Transitivity (loc, cic)
485 let rec disambiguate_tactical status = function
486 | TacticAst.Tactic (loc, tactic) ->
487 let status, tac = disambiguate_tactic status tactic in
488 status, TacticAst.Tactic (loc, tac)
489 | TacticAst.Do (loc, num, tactical) ->
490 let status, tac = disambiguate_tactical status tactical in
491 status, TacticAst.Do (loc, num, tac)
492 | TacticAst.Repeat (loc, tactical) ->
493 let status, tac = disambiguate_tactical status tactical in
494 status, TacticAst.Repeat (loc, tac)
495 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
496 let status, tacticals = disambiguate_tacticals status tacticals in
497 let tacticals = List.rev tacticals in
498 status, TacticAst.Seq (loc, tacticals)
499 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
500 let status, tactical = disambiguate_tactical status tactical in
501 let status, tacticals = disambiguate_tacticals status tacticals in
502 status, TacticAst.Then (loc, tactical, tacticals)
503 | TacticAst.Tries (loc, tacticals) ->
504 let status, tacticals = disambiguate_tacticals status tacticals in
505 status, TacticAst.Tries (loc, tacticals)
506 | TacticAst.Try (loc, tactical) ->
507 let status, tactical = disambiguate_tactical status tactical in
508 status, TacticAst.Try (loc, tactical)
510 and disambiguate_tacticals status tacticals =
511 let status, tacticals =
513 (fun (status, tacticals) tactical ->
514 let status, tac = disambiguate_tactical status tactical in
515 status, tac :: tacticals)
519 let tacticals = List.rev tacticals in
522 let disambiguate_command status = function
523 | TacticAst.Coercion (loc, term) ->
524 let status, term = disambiguate_term status term in
525 status, TacticAst.Coercion (loc,term)
526 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
528 | TacticAst.Alias _ as x -> status, x
529 | TacticAst.Obj (loc,obj) ->
530 let status,obj = disambiguate_obj status obj in
531 status, TacticAst.Obj (loc,obj)
533 let disambiguate_executable status ex =
535 | TacticAst.Tactical (loc, tac) ->
536 let status, tac = disambiguate_tactical status tac in
537 status, (TacticAst.Tactical (loc, tac))
538 | TacticAst.Command (loc, cmd) ->
539 let status, cmd = disambiguate_command status cmd in
540 status, (TacticAst.Command (loc, cmd))
541 | TacticAst.Macro (_, mac) ->
542 command_error (sprintf "The macro %s can't be in a script"
543 (TacticAstPp.pp_macro_ast mac))
545 let disambiguate_comment status c =
547 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
548 | TacticAst.Code (loc,ex) ->
549 let status, ex = disambiguate_executable status ex in
550 status, TacticAst.Code (loc,ex)
552 let disambiguate_statement status statement =
554 | TacticAst.Comment (loc,c) ->
555 let status, c = disambiguate_comment status c in
556 status, TacticAst.Comment (loc,c)
557 | TacticAst.Executable (loc,ex) ->
558 let status, ex = disambiguate_executable status ex in
559 status, TacticAst.Executable (loc,ex)
561 let eval_ast status ast =
562 let status,st = disambiguate_statement status ast in
563 (* this disambiguation step should be deferred to support tacticals *)
566 let eval_from_stream status str cb =
567 let stl = CicTextualParser2.parse_statements str in
569 (fun status ast -> cb status ast;eval_ast status ast) status
572 let eval_string status str =
573 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
575 let default_options () =
577 StringMap.add "baseuri"
579 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
583 StringMap.add "basedir"
584 (String (Helm_registry.get "matita.basedir" ))
591 aliases = DisambiguateTypes.empty_environment;
592 proof_status = No_proof;
593 options = default_options ();