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) ->
27 AutoTactic.auto_tac_new ?depth ~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.Discriminate (_,term) -> Tactics.discriminate term
35 | TacticAst.Elim (_, term, _) ->
36 Tactics.elim_intros term
37 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
38 | TacticAst.Exact (_, term) -> Tactics.exact term
39 | TacticAst.Exists _ -> Tactics.exists
40 | TacticAst.Fourier _ -> Tactics.fourier
41 | TacticAst.FwdSimpl (_, term) ->
42 Tactics.fwd_simpl ~what:term ~dbd:(MatitaDb.instance ())
43 | TacticAst.Generalize (_,term,pat) -> Tactics.generalize term pat
44 | TacticAst.Goal (_, n) -> Tactics.set_goal n
45 | TacticAst.Intros (_, None, names) ->
46 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
47 | TacticAst.Intros (_, Some num, names) ->
48 PrimitiveTactics.intros_tac ~howmany:num
49 ~mk_fresh_name_callback:(namer_of names) ()
50 | TacticAst.LApply (_, to_what, what) ->
51 Tactics.lapply ?to_what what
52 | TacticAst.Left _ -> Tactics.left
53 | TacticAst.LetIn (loc,term,name) ->
54 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
55 | TacticAst.Reduce (_, reduction_kind, pattern) ->
56 (match reduction_kind with
57 | `Normalize -> Tactics.normalize ~pattern
58 | `Reduce -> Tactics.reduce ~pattern
59 | `Simpl -> Tactics.simpl ~pattern
60 | `Whd -> Tactics.whd ~pattern)
61 | TacticAst.Reflexivity _ -> Tactics.reflexivity
62 | TacticAst.Replace (_, what, with_what) -> Tactics.replace ~what ~with_what
63 | TacticAst.Rewrite (_, dir, t, pattern) ->
65 EqualityTactics.rewrite_tac ~where:pattern ~term:t ()
67 EqualityTactics.rewrite_back_tac ~where:pattern ~term:t ()
68 | TacticAst.Right _ -> Tactics.right
69 | TacticAst.Ring _ -> Tactics.ring
70 | TacticAst.Split _ -> Tactics.split
71 | TacticAst.Symmetry _ -> Tactics.symmetry
72 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
74 let eval_tactical status tac =
75 let apply_tactic tactic =
77 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
82 let (_,metasenv,_,_) = proof in
85 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
86 | ng::_ -> Incomplete_proof (proof, ng)
88 { status with proof_status = new_status }
90 let rec tactical_of_ast = function
91 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
92 | TacticAst.Fail loc -> Tacticals.fail
93 | TacticAst.Do (loc, num, tactical) ->
94 Tacticals.do_tactic num (tactical_of_ast tactical)
95 | TacticAst.IdTac loc -> Tacticals.id_tac
96 | TacticAst.Repeat (loc, tactical) ->
97 Tacticals.repeat_tactic (tactical_of_ast tactical)
98 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
99 Tacticals.seq (List.map tactical_of_ast tacticals)
100 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
101 Tacticals.thens (tactical_of_ast tactical)
102 (List.map tactical_of_ast tacticals)
103 | TacticAst.Tries (loc, tacticals) ->
104 Tacticals.try_tactics
105 (List.map (fun t -> "", tactical_of_ast t) tacticals)
106 | TacticAst.Try (loc, tactical) ->
107 Tacticals.try_tactic (tactical_of_ast tactical)
109 apply_tactic (tactical_of_ast tac)
111 let eval_coercion status coercion =
112 let coer_uri,coer_ty =
117 CicEnvironment.get_obj CicUniv.empty_ugraph uri
120 | Cic.Constant (_,_,ty,_,_)
121 | Cic.Variable (_,_,ty,_,_) ->
124 | Cic.MutConstruct (uri,t,c,_) ->
126 CicEnvironment.get_obj CicUniv.empty_ugraph uri
129 | Cic.InductiveDefinition (l,_,_,_) ->
130 let (_,_,_,cl) = List.nth l t in
131 let (_,cty) = List.nth cl c in
136 (* we have to get the source and the tgt type uri
137 * in Coq syntax we have already their names, but
138 * since we don't support Funclass and similar I think
139 * all the coercion should be of the form
141 * So we should be able to extract them from the coercion type
143 let extract_last_two_p ty =
144 let rec aux = function
145 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
146 | Cic.Prod( _, src, tgt) -> src, tgt
151 let ty_src,ty_tgt = extract_last_two_p coer_ty in
154 let ty_src = CicReduction.whd context ty_src in
155 CicUtil.uri_of_term ty_src
158 let ty_tgt = CicReduction.whd context ty_tgt in
159 CicUtil.uri_of_term ty_tgt
162 (* also adds them to the Db *)
163 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
165 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
166 status new_coercions in
167 {status with proof_status = No_proof}
169 let generate_elimination_principles uri status =
170 let elim sort status =
172 let uri,obj = CicElim.elim_of ~sort uri 0 in
173 MatitaSync.add_obj uri obj status
174 with CicElim.Can_t_eliminate -> status
176 List.fold_left (fun status sort -> elim sort status) status
177 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
179 let generate_projections uri fields status =
180 let projections = CicRecord.projections_of uri fields in
182 (fun status (uri, name, bo) ->
185 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
186 let bo = Unshare.unshare bo in
187 let ty = Unshare.unshare ty in
188 let attrs = [`Class `Projection; `Generated] in
189 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
190 MatitaSync.add_obj uri obj status
192 CicTypeChecker.TypeCheckerFailure s ->
194 ("Unable to create projection " ^ name ^ " cause: " ^ s);
196 | CicEnvironment.Object_not_found uri ->
197 let depend = UriManager.name_of_uri uri in
199 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
203 let eval_command status cmd =
205 | TacticAst.Set (loc, name, value) -> set_option status name value
206 | TacticAst.Qed loc ->
207 let uri, metasenv, bo, ty =
208 match status.proof_status with
209 | Proof (Some uri, metasenv, body, ty) ->
210 uri, metasenv, body, ty
211 | Proof (None, metasenv, body, ty) ->
213 ("Someone allows to start a thm without giving the "^
214 "name/uri. This should be fixed!")
215 | _-> command_error "You can't qed an uncomplete theorem"
217 let suri = UriManager.string_of_uri uri in
218 if metasenv <> [] then
219 command_error "Proof not completed! metasenv is not empty!";
220 let name = UriManager.name_of_uri uri in
221 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
222 MatitaSync.add_obj uri obj status
223 | TacticAst.Coercion (loc, coercion) ->
224 eval_coercion status coercion
225 | TacticAst.Alias (loc, spec) ->
227 | TacticAst.Ident_alias (id,uri) ->
228 {status with aliases =
229 DisambiguateTypes.Environment.add
230 (DisambiguateTypes.Id id)
231 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri (UriManager.uri_of_string uri)))
233 | TacticAst.Symbol_alias (symb, instance, desc) ->
234 {status with aliases =
235 DisambiguateTypes.Environment.add
236 (DisambiguateTypes.Symbol (symb,instance))
237 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
239 | TacticAst.Number_alias (instance,desc) ->
240 {status with aliases =
241 DisambiguateTypes.Environment.add
242 (DisambiguateTypes.Num instance)
243 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
244 | TacticAst.Obj (loc,obj) ->
247 Cic.Constant (name,_,_,_,_)
248 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
249 | Cic.InductiveDefinition (types,_,_,_) ->
251 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
252 | _ -> assert false in
254 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
256 let metasenv = MatitaMisc.get_proof_metasenv status in
258 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
259 assert (metasenv = metasenv');
261 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
262 let initial_proof = (Some uri, metasenv, bo, ty) in
263 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
265 if metasenv <> [] then
267 "metasenv not empty while giving a definition with body: " ^
268 CicMetaSubst.ppmetasenv metasenv []);
269 let status = MatitaSync.add_obj uri obj status in
271 Cic.Constant _ -> status
272 | Cic.InductiveDefinition (_,_,_,attrs) ->
273 let status = generate_elimination_principles uri status in
274 let rec get_record_attrs =
277 | (`Class (`Record fields))::_ -> Some fields
278 | _::tl -> get_record_attrs tl
280 (match get_record_attrs attrs with
281 None -> status (* not a record *)
282 | Some fields -> generate_projections uri fields status)
284 | Cic.Variable _ -> assert false
286 let eval_executable status ex =
288 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
289 | TacticAst.Command (_, cmd) -> eval_command status cmd
290 | TacticAst.Macro (_, mac) ->
291 command_error (sprintf "The macro %s can't be in a script"
292 (TacticAstPp.pp_macro_cic mac))
294 let eval_comment status c = status
298 | TacticAst.Executable (_,ex) -> eval_executable status ex
299 | TacticAst.Comment (_,c) -> eval_comment status c
301 let disambiguate_term status term =
302 let (aliases, metasenv, cic, _) =
304 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
305 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
306 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
312 match status.proof_status with
313 | No_proof -> Intermediate metasenv
314 | Incomplete_proof ((uri, _, proof, ty), goal) ->
315 Incomplete_proof ((uri, metasenv, proof, ty), goal)
316 | Intermediate _ -> Intermediate metasenv
317 | Proof _ -> assert false
322 proof_status = proof_status }
326 let disambiguate_obj status obj =
329 TacticAst.Inductive (_,(name,_,_,_)::_)
330 | TacticAst.Record (_,name,_,_) ->
331 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
332 | TacticAst.Inductive _ -> assert false
334 let (aliases, metasenv, cic, _) =
336 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
337 ~aliases:(status.aliases) ~uri obj
343 match status.proof_status with
344 | No_proof -> Intermediate metasenv
347 | Proof _ -> assert false
352 proof_status = proof_status }
356 let disambiguate_pattern aliases (hyp_paths ,goal_path) =
357 let interp path = Disambiguate.interpretate_path [] aliases path in
361 | Some path -> Some (interp path) in
362 let hyp_paths = List.map (fun (name, path) -> name, interp path) hyp_paths in
363 (hyp_paths ,goal_path)
365 let disambiguate_tactic status = function
366 | TacticAst.Apply (loc, term) ->
367 let status, cic = disambiguate_term status term in
368 status, TacticAst.Apply (loc, cic)
369 | TacticAst.Absurd (loc, term) ->
370 let status, cic = disambiguate_term status term in
371 status, TacticAst.Absurd (loc, cic)
372 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
373 | TacticAst.Auto (loc,num) -> status, TacticAst.Auto (loc,num)
374 | TacticAst.Change (loc, what, with_what, pattern) ->
375 let status, cic1 = disambiguate_term status what in
376 let status, cic2 = disambiguate_term status with_what in
377 let pattern = disambiguate_pattern status.aliases pattern in
378 status, TacticAst.Change (loc, cic1, cic2, pattern)
379 | TacticAst.Contradiction loc -> status, TacticAst.Contradiction loc
380 | TacticAst.Cut (loc, term) ->
381 let status, cic = disambiguate_term status term in
382 status, TacticAst.Cut (loc, cic)
383 | TacticAst.Discriminate (loc,term) ->
384 let status,term = disambiguate_term status term in
385 status, TacticAst.Discriminate(loc,term)
386 | TacticAst.Exact (loc, term) ->
387 let status, cic = disambiguate_term status term in
388 status, TacticAst.Exact (loc, cic)
389 | TacticAst.Elim (loc, term, Some term') ->
390 let status, cic1 = disambiguate_term status term in
391 let status, cic2 = disambiguate_term status term' in
392 status, TacticAst.Elim (loc, cic1, Some cic2)
393 | TacticAst.Elim (loc, term, None) ->
394 let status, cic = disambiguate_term status term in
395 status, TacticAst.Elim (loc, cic, None)
396 | TacticAst.ElimType (loc, term) ->
397 let status, cic = disambiguate_term status term in
398 status, TacticAst.ElimType (loc, cic)
399 | TacticAst.Exists loc -> status, TacticAst.Exists loc
400 | TacticAst.FwdSimpl (loc, term) ->
401 let status, term = disambiguate_term status term in
402 status, TacticAst.FwdSimpl (loc, term)
403 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
404 | TacticAst.Generalize (loc,term,pattern) ->
405 let status,term = disambiguate_term status term in
406 let pattern = disambiguate_pattern status.aliases pattern in
407 status, TacticAst.Generalize(loc,term,pattern)
408 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
409 | TacticAst.Intros (loc, num, names) ->
410 status, TacticAst.Intros (loc, num, names)
411 | TacticAst.LApply (loc, to_what, what) ->
412 let status, to_what =
415 | Some to_what -> status, Some (disambiguate_term status to_what) in
416 let status, what = disambiguate_term status what in
417 status, TacticAst.LApply (loc, None, what)
418 | TacticAst.Left loc -> status, TacticAst.Left loc
419 | TacticAst.LetIn (loc, term, name) ->
420 let status, term = disambiguate_term status term in
421 status, TacticAst.LetIn (loc,term,name)
422 | TacticAst.Reduce (loc, reduction_kind, pattern) ->
423 let pattern = disambiguate_pattern status.aliases pattern in
424 status, TacticAst.Reduce(loc, reduction_kind, pattern)
425 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
426 | TacticAst.Replace (loc, what, with_what) ->
427 let status, cic1 = disambiguate_term status what in
428 let status, cic2 = disambiguate_term status with_what in
429 status, TacticAst.Replace (loc, cic1, cic2)
430 | TacticAst.Rewrite (loc, dir, t, pattern) ->
431 let status, term = disambiguate_term status t in
432 let pattern = disambiguate_pattern status.aliases pattern in
433 status, TacticAst.Rewrite (loc, dir, term, pattern)
434 | TacticAst.Right loc -> status, TacticAst.Right loc
435 | TacticAst.Ring loc -> status, TacticAst.Ring loc
436 | TacticAst.Split loc -> status, TacticAst.Split loc
437 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
438 | TacticAst.Transitivity (loc, term) ->
439 let status, cic = disambiguate_term status term in
440 status, TacticAst.Transitivity (loc, cic)
442 let rec disambiguate_tactical status = function
443 | TacticAst.Tactic (loc, tactic) ->
444 let status, tac = disambiguate_tactic status tactic in
445 status, TacticAst.Tactic (loc, tac)
446 | TacticAst.Do (loc, num, tactical) ->
447 let status, tac = disambiguate_tactical status tactical in
448 status, TacticAst.Do (loc, num, tac)
449 | TacticAst.Repeat (loc, tactical) ->
450 let status, tac = disambiguate_tactical status tactical in
451 status, TacticAst.Repeat (loc, tac)
452 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
453 let status, tacticals = disambiguate_tacticals status tacticals in
454 let tacticals = List.rev tacticals in
455 status, TacticAst.Seq (loc, tacticals)
456 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
457 let status, tactical = disambiguate_tactical status tactical in
458 let status, tacticals = disambiguate_tacticals status tacticals in
459 status, TacticAst.Then (loc, tactical, tacticals)
460 | TacticAst.Tries (loc, tacticals) ->
461 let status, tacticals = disambiguate_tacticals status tacticals in
462 status, TacticAst.Tries (loc, tacticals)
463 | TacticAst.Try (loc, tactical) ->
464 let status, tactical = disambiguate_tactical status tactical in
465 status, TacticAst.Try (loc, tactical)
466 | (TacticAst.IdTac _ | TacticAst.Fail _) as tac ->
469 and disambiguate_tacticals status tacticals =
470 let status, tacticals =
472 (fun (status, tacticals) tactical ->
473 let status, tac = disambiguate_tactical status tactical in
474 status, tac :: tacticals)
478 let tacticals = List.rev tacticals in
481 let disambiguate_command status = function
482 | TacticAst.Coercion (loc, term) ->
483 let status, term = disambiguate_term status term in
484 status, TacticAst.Coercion (loc,term)
485 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
487 | TacticAst.Alias _ as x -> status, x
488 | TacticAst.Obj (loc,obj) ->
489 let status,obj = disambiguate_obj status obj in
490 status, TacticAst.Obj (loc,obj)
492 let disambiguate_executable status ex =
494 | TacticAst.Tactical (loc, tac) ->
495 let status, tac = disambiguate_tactical status tac in
496 status, (TacticAst.Tactical (loc, tac))
497 | TacticAst.Command (loc, cmd) ->
498 let status, cmd = disambiguate_command status cmd in
499 status, (TacticAst.Command (loc, cmd))
500 | TacticAst.Macro (_, mac) ->
501 command_error (sprintf "The macro %s can't be in a script"
502 (TacticAstPp.pp_macro_ast mac))
504 let disambiguate_comment status c =
506 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
507 | TacticAst.Code (loc,ex) ->
508 let status, ex = disambiguate_executable status ex in
509 status, TacticAst.Code (loc,ex)
511 let disambiguate_statement status statement =
513 | TacticAst.Comment (loc,c) ->
514 let status, c = disambiguate_comment status c in
515 status, TacticAst.Comment (loc,c)
516 | TacticAst.Executable (loc,ex) ->
517 let status, ex = disambiguate_executable status ex in
518 status, TacticAst.Executable (loc,ex)
520 let eval_ast status ast =
521 let status,st = disambiguate_statement status ast in
522 (* this disambiguation step should be deferred to support tacticals *)
525 let eval_from_stream status str cb =
526 let stl = CicTextualParser2.parse_statements str in
528 (fun status ast -> cb status ast;eval_ast status ast) status
531 let eval_string status str =
532 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
534 let default_options () =
536 StringMap.add "baseuri"
538 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
542 StringMap.add "basedir"
543 (String (Helm_registry.get "matita.basedir" ))
550 aliases = DisambiguateTypes.empty_environment;
551 proof_status = No_proof;
552 options = default_options ();