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) ->
71 Tactics.lapply ?to_what what
72 | TacticAst.Left _ -> Tactics.left
73 | TacticAst.LetIn (loc,term,name) ->
74 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
75 | TacticAst.Reduce (_, reduction_kind, pattern) ->
76 (match reduction_kind with
77 | `Normalize -> Tactics.normalize ~pattern
78 | `Reduce -> Tactics.reduce ~pattern
79 | `Simpl -> Tactics.simpl ~pattern
80 | `Whd -> Tactics.whd ~pattern)
81 | TacticAst.Reflexivity _ -> Tactics.reflexivity
82 | TacticAst.Replace (_, pattern, with_what) ->
83 Tactics.replace ~pattern ~with_what
84 | TacticAst.Rewrite (_, dir, t, pattern) ->
86 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
88 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
89 | TacticAst.Right _ -> Tactics.right
90 | TacticAst.Ring _ -> Tactics.ring
91 | TacticAst.Split _ -> Tactics.split
92 | TacticAst.Symmetry _ -> Tactics.symmetry
93 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
95 let eval_tactical status tac =
96 let apply_tactic tactic =
98 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
103 let (_,metasenv,_,_) = proof in
106 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
107 | ng::_ -> Incomplete_proof (proof, ng)
109 { status with proof_status = new_status }
111 let rec tactical_of_ast = function
112 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
113 | TacticAst.Do (loc, num, tactical) ->
114 Tacticals.do_tactic num (tactical_of_ast tactical)
115 | TacticAst.Repeat (loc, tactical) ->
116 Tacticals.repeat_tactic (tactical_of_ast tactical)
117 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
118 Tacticals.seq (List.map tactical_of_ast tacticals)
119 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
120 Tacticals.thens (tactical_of_ast tactical)
121 (List.map tactical_of_ast tacticals)
122 | TacticAst.Tries (loc, tacticals) ->
123 Tacticals.try_tactics
124 (List.map (fun t -> "", tactical_of_ast t) tacticals)
125 | TacticAst.Try (loc, tactical) ->
126 Tacticals.try_tactic (tactical_of_ast tactical)
128 apply_tactic (tactical_of_ast tac)
130 let eval_coercion status coercion =
131 let coer_uri,coer_ty =
136 CicEnvironment.get_obj CicUniv.empty_ugraph uri
139 | Cic.Constant (_,_,ty,_,_)
140 | Cic.Variable (_,_,ty,_,_) ->
143 | Cic.MutConstruct (uri,t,c,_) ->
145 CicEnvironment.get_obj CicUniv.empty_ugraph uri
148 | Cic.InductiveDefinition (l,_,_,_) ->
149 let (_,_,_,cl) = List.nth l t in
150 let (_,cty) = List.nth cl c in
155 (* we have to get the source and the tgt type uri
156 * in Coq syntax we have already their names, but
157 * since we don't support Funclass and similar I think
158 * all the coercion should be of the form
160 * So we should be able to extract them from the coercion type
162 let extract_last_two_p ty =
163 let rec aux = function
164 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
165 | Cic.Prod( _, src, tgt) -> src, tgt
170 let ty_src,ty_tgt = extract_last_two_p coer_ty in
173 let ty_src = CicReduction.whd context ty_src in
174 CicUtil.uri_of_term ty_src
177 let ty_tgt = CicReduction.whd context ty_tgt in
178 CicUtil.uri_of_term ty_tgt
181 (* also adds them to the Db *)
182 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
184 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
185 status new_coercions in
186 {status with proof_status = No_proof}
188 let generate_elimination_principles uri status =
189 let elim sort status =
191 let uri,obj = CicElim.elim_of ~sort uri 0 in
192 MatitaSync.add_obj uri obj status
193 with CicElim.Can_t_eliminate -> status
195 List.fold_left (fun status sort -> elim sort status) status
196 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
198 let generate_projections uri fields status =
199 let projections = CicRecord.projections_of uri fields in
201 (fun status (uri, name, bo) ->
204 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
205 let bo = Unshare.unshare bo in
206 let ty = Unshare.unshare ty in
207 let attrs = [`Class `Projection; `Generated] in
208 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
209 MatitaSync.add_obj uri obj status
211 CicTypeChecker.TypeCheckerFailure s ->
213 ("Unable to create projection " ^ name ^ " cause: " ^ s);
215 | CicEnvironment.Object_not_found uri ->
216 let depend = UriManager.name_of_uri uri in
218 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
222 let eval_command status cmd =
224 | TacticAst.Set (loc, name, value) -> set_option status name value
225 | TacticAst.Qed loc ->
226 let uri, metasenv, bo, ty =
227 match status.proof_status with
228 | Proof (Some uri, metasenv, body, ty) ->
229 uri, metasenv, body, ty
230 | Proof (None, metasenv, body, ty) ->
232 ("Someone allows to start a thm without giving the "^
233 "name/uri. This should be fixed!")
234 | _-> command_error "You can't qed an uncomplete theorem"
236 let suri = UriManager.string_of_uri uri in
237 if metasenv <> [] then
238 command_error "Proof not completed! metasenv is not empty!";
239 let name = UriManager.name_of_uri uri in
240 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
241 MatitaSync.add_obj uri obj status
242 | TacticAst.Coercion (loc, coercion) ->
243 eval_coercion status coercion
244 | TacticAst.Alias (loc, spec) ->
246 | TacticAst.Ident_alias (id,uri) ->
247 {status with aliases =
248 DisambiguateTypes.Environment.add
249 (DisambiguateTypes.Id id)
250 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
252 | TacticAst.Symbol_alias (symb, instance, desc) ->
253 {status with aliases =
254 DisambiguateTypes.Environment.add
255 (DisambiguateTypes.Symbol (symb,instance))
256 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
258 | TacticAst.Number_alias (instance,desc) ->
259 {status with aliases =
260 DisambiguateTypes.Environment.add
261 (DisambiguateTypes.Num instance)
262 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
263 | TacticAst.Obj (loc,obj) ->
266 Cic.Constant (name,_,_,_,_)
267 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
268 | Cic.InductiveDefinition (types,_,_,_) ->
270 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
271 | _ -> assert false in
273 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
275 let metasenv = MatitaMisc.get_proof_metasenv status in
277 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
278 assert (metasenv = metasenv');
280 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
281 let initial_proof = (Some uri, metasenv, bo, ty) in
282 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
284 if metasenv <> [] then
286 "metasenv not empty while giving a definition with body: " ^
287 CicMetaSubst.ppmetasenv metasenv []);
288 let status = MatitaSync.add_obj uri obj status in
290 Cic.Constant _ -> status
291 | Cic.InductiveDefinition (_,_,_,attrs) ->
292 let status = generate_elimination_principles uri status in
293 let rec get_record_attrs =
296 | (`Class (`Record fields))::_ -> Some fields
297 | _::tl -> get_record_attrs tl
299 (match get_record_attrs attrs with
300 None -> status (* not a record *)
301 | Some fields -> generate_projections uri fields status)
303 | Cic.Variable _ -> assert false
305 let eval_executable status ex =
307 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
308 | TacticAst.Command (_, cmd) -> eval_command status cmd
309 | TacticAst.Macro (_, mac) ->
310 command_error (sprintf "The macro %s can't be in a script"
311 (TacticAstPp.pp_macro_cic mac))
313 let eval_comment status c = status
317 | TacticAst.Executable (_,ex) -> eval_executable status ex
318 | TacticAst.Comment (_,c) -> eval_comment status c
320 let disambiguate_term status term =
321 let (aliases, metasenv, cic, _) =
323 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
324 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
325 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
331 match status.proof_status with
332 | No_proof -> Intermediate metasenv
333 | Incomplete_proof ((uri, _, proof, ty), goal) ->
334 Incomplete_proof ((uri, metasenv, proof, ty), goal)
335 | Intermediate _ -> Intermediate metasenv
336 | Proof _ -> assert false
341 proof_status = proof_status }
345 let disambiguate_obj status obj =
348 TacticAst.Inductive (_,(name,_,_,_)::_)
349 | TacticAst.Record (_,name,_,_) ->
350 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
351 | TacticAst.Inductive _ -> assert false
353 let (aliases, metasenv, cic, _) =
355 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
356 ~aliases:(status.aliases) ~uri obj
362 match status.proof_status with
363 | No_proof -> Intermediate metasenv
366 | Proof _ -> assert false
371 proof_status = proof_status }
375 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
376 let interp path = Disambiguate.interpretate_path [] aliases path in
380 | Some path -> Some (interp path) in
381 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
382 (hyp_paths ,goal_path)
384 let disambiguate_tactic status = function
385 | TacticAst.Apply (loc, term) ->
386 let status, cic = disambiguate_term status term in
387 status, TacticAst.Apply (loc, cic)
388 | TacticAst.Absurd (loc, term) ->
389 let status, cic = disambiguate_term status term in
390 status, TacticAst.Absurd (loc, cic)
391 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
392 | TacticAst.Auto (loc,depth,width) -> status, TacticAst.Auto (loc,depth,width)
393 | TacticAst.Change (loc, what, with_what, pattern) ->
394 let status, cic1 = disambiguate_term status what in
395 let status, cic2 = disambiguate_term status with_what in
396 let pattern = disambiguate_pattern status.aliases pattern in
397 status, TacticAst.Change (loc, cic1, cic2, pattern)
398 | TacticAst.Clear (loc,id) -> status,TacticAst.Clear (loc,id)
399 | TacticAst.ClearBody (loc,id) -> status,TacticAst.ClearBody (loc,id)
400 | TacticAst.Compare (loc,term) ->
401 let status, term = disambiguate_term status term in
402 status, TacticAst.Compare (loc,term)
403 | TacticAst.Constructor (loc,n) ->
404 status, TacticAst.Constructor (loc,n)
405 | TacticAst.Contradiction loc ->
406 status, TacticAst.Contradiction loc
407 | TacticAst.Cut (loc, ident, term) ->
408 let status, cic = disambiguate_term status term in
409 status, TacticAst.Cut (loc, ident, cic)
410 | TacticAst.DecideEquality loc ->
411 status, TacticAst.DecideEquality loc
412 | TacticAst.Decompose (loc,term) ->
413 let status,term = disambiguate_term status term in
414 status, TacticAst.Decompose(loc,term)
415 | TacticAst.Discriminate (loc,term) ->
416 let status,term = disambiguate_term status term in
417 status, TacticAst.Discriminate(loc,term)
418 | TacticAst.Exact (loc, term) ->
419 let status, cic = disambiguate_term status term in
420 status, TacticAst.Exact (loc, cic)
421 | TacticAst.Elim (loc, term, Some term') ->
422 let status, cic1 = disambiguate_term status term in
423 let status, cic2 = disambiguate_term status term' in
424 status, TacticAst.Elim (loc, cic1, Some cic2)
425 | TacticAst.Elim (loc, term, None) ->
426 let status, cic = disambiguate_term status term in
427 status, TacticAst.Elim (loc, cic, None)
428 | TacticAst.ElimType (loc, term) ->
429 let status, cic = disambiguate_term status term in
430 status, TacticAst.ElimType (loc, cic)
431 | TacticAst.Exists loc -> status, TacticAst.Exists loc
432 | TacticAst.Fail loc -> status,TacticAst.Fail loc
433 | TacticAst.Fold (loc,reduction_kind, term, pattern) ->
434 let status, term = disambiguate_term status term in
435 let pattern = disambiguate_pattern status.aliases pattern in
436 status, TacticAst.Fold (loc,reduction_kind, term, pattern)
437 | TacticAst.FwdSimpl (loc, term) ->
438 let status, term = disambiguate_term status term in
439 status, TacticAst.FwdSimpl (loc, term)
440 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
441 | TacticAst.Generalize (loc,term,ident,pattern) ->
442 let status,term = disambiguate_term status term in
443 let pattern = disambiguate_pattern status.aliases pattern in
444 status, TacticAst.Generalize(loc,term,ident,pattern)
445 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
446 | TacticAst.IdTac loc -> status,TacticAst.IdTac loc
447 | TacticAst.Injection (loc,term) ->
448 let status, term = disambiguate_term status term in
449 status, TacticAst.Injection (loc,term)
450 | TacticAst.Intros (loc, num, names) ->
451 status, TacticAst.Intros (loc, num, names)
452 | TacticAst.LApply (loc, to_what, what) ->
453 let status, to_what =
457 let status, to_what = disambiguate_term status to_what in
460 let status, what = disambiguate_term status what in
461 status, TacticAst.LApply (loc, to_what, what)
462 | TacticAst.Left loc -> status, TacticAst.Left loc
463 | TacticAst.LetIn (loc, term, name) ->
464 let status, term = disambiguate_term status term in
465 status, TacticAst.LetIn (loc,term,name)
466 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
467 let pattern = disambiguate_pattern status.aliases pattern in
468 status, TacticAst.Reduce(loc, reduction_kind, pattern)
469 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
470 | TacticAst.Replace (loc, pattern, with_what) ->
471 let pattern = disambiguate_pattern status.aliases pattern in
472 let status, with_what = disambiguate_term status with_what in
473 status, TacticAst.Replace (loc, pattern, with_what)
474 | TacticAst.Rewrite (loc, dir, t, pattern) ->
475 let status, term = disambiguate_term status t in
476 let pattern = disambiguate_pattern status.aliases pattern in
477 status, TacticAst.Rewrite (loc, dir, term, pattern)
478 | TacticAst.Right loc -> status, TacticAst.Right loc
479 | TacticAst.Ring loc -> status, TacticAst.Ring loc
480 | TacticAst.Split loc -> status, TacticAst.Split loc
481 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
482 | TacticAst.Transitivity (loc, term) ->
483 let status, cic = disambiguate_term status term in
484 status, TacticAst.Transitivity (loc, cic)
486 let rec disambiguate_tactical status = function
487 | TacticAst.Tactic (loc, tactic) ->
488 let status, tac = disambiguate_tactic status tactic in
489 status, TacticAst.Tactic (loc, tac)
490 | TacticAst.Do (loc, num, tactical) ->
491 let status, tac = disambiguate_tactical status tactical in
492 status, TacticAst.Do (loc, num, tac)
493 | TacticAst.Repeat (loc, tactical) ->
494 let status, tac = disambiguate_tactical status tactical in
495 status, TacticAst.Repeat (loc, tac)
496 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
497 let status, tacticals = disambiguate_tacticals status tacticals in
498 let tacticals = List.rev tacticals in
499 status, TacticAst.Seq (loc, tacticals)
500 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
501 let status, tactical = disambiguate_tactical status tactical in
502 let status, tacticals = disambiguate_tacticals status tacticals in
503 status, TacticAst.Then (loc, tactical, tacticals)
504 | TacticAst.Tries (loc, tacticals) ->
505 let status, tacticals = disambiguate_tacticals status tacticals in
506 status, TacticAst.Tries (loc, tacticals)
507 | TacticAst.Try (loc, tactical) ->
508 let status, tactical = disambiguate_tactical status tactical in
509 status, TacticAst.Try (loc, tactical)
511 and disambiguate_tacticals status tacticals =
512 let status, tacticals =
514 (fun (status, tacticals) tactical ->
515 let status, tac = disambiguate_tactical status tactical in
516 status, tac :: tacticals)
520 let tacticals = List.rev tacticals in
523 let disambiguate_command status = function
524 | TacticAst.Coercion (loc, term) ->
525 let status, term = disambiguate_term status term in
526 status, TacticAst.Coercion (loc,term)
527 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
529 | TacticAst.Alias _ as x -> status, x
530 | TacticAst.Obj (loc,obj) ->
531 let status,obj = disambiguate_obj status obj in
532 status, TacticAst.Obj (loc,obj)
534 let disambiguate_executable status ex =
536 | TacticAst.Tactical (loc, tac) ->
537 let status, tac = disambiguate_tactical status tac in
538 status, (TacticAst.Tactical (loc, tac))
539 | TacticAst.Command (loc, cmd) ->
540 let status, cmd = disambiguate_command status cmd in
541 status, (TacticAst.Command (loc, cmd))
542 | TacticAst.Macro (_, mac) ->
543 command_error (sprintf "The macro %s can't be in a script"
544 (TacticAstPp.pp_macro_ast mac))
546 let disambiguate_comment status c =
548 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
549 | TacticAst.Code (loc,ex) ->
550 let status, ex = disambiguate_executable status ex in
551 status, TacticAst.Code (loc,ex)
553 let disambiguate_statement status statement =
555 | TacticAst.Comment (loc,c) ->
556 let status, c = disambiguate_comment status c in
557 status, TacticAst.Comment (loc,c)
558 | TacticAst.Executable (loc,ex) ->
559 let status, ex = disambiguate_executable status ex in
560 status, TacticAst.Executable (loc,ex)
562 let eval_ast status ast =
563 let status,st = disambiguate_statement status ast in
564 (* this disambiguation step should be deferred to support tacticals *)
567 let eval_from_stream status str cb =
568 let stl = CicTextualParser2.parse_statements str in
570 (fun status ast -> cb status ast;eval_ast status ast) status
573 let eval_string status str =
574 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
576 let default_options () =
578 StringMap.add "baseuri"
580 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
584 StringMap.add "basedir"
585 (String (Helm_registry.get "matita.basedir" ))
592 aliases = DisambiguateTypes.empty_environment;
593 proof_status = No_proof;
594 options = default_options ();