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.Intros (_, None, names) ->
24 (* TODO Zack implement intros length *)
25 PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
26 | TacticAst.Intros (_, Some num, names) ->
27 (* TODO Zack implement intros length *)
28 PrimitiveTactics.intros_tac ~howmany:num
29 ~mk_fresh_name_callback:(namer_of names) ()
30 | TacticAst.Reflexivity _ -> Tactics.reflexivity
31 | TacticAst.Assumption _ -> Tactics.assumption
32 | TacticAst.Contradiction _ -> Tactics.contradiction
33 | TacticAst.Exists _ -> Tactics.exists
34 | TacticAst.Fourier _ -> Tactics.fourier
35 | TacticAst.Goal (_, n) -> Tactics.set_goal n
36 | TacticAst.Left _ -> Tactics.left
37 | TacticAst.Right _ -> Tactics.right
38 | TacticAst.Ring _ -> Tactics.ring
39 | TacticAst.Split _ -> Tactics.split
40 | TacticAst.Symmetry _ -> Tactics.symmetry
41 | TacticAst.Transitivity (_, term) -> Tactics.transitivity term
42 | TacticAst.Apply (_, term) -> Tactics.apply term
43 | TacticAst.Absurd (_, term) -> Tactics.absurd term
44 | TacticAst.Exact (_, term) -> Tactics.exact term
45 | TacticAst.Cut (_, term) -> Tactics.cut term
46 | TacticAst.Elim (_, term, _) ->
47 (* TODO Zack implement "using" argument *)
48 (* old: Tactics.elim_intros_simpl term *)
49 Tactics.elim_intros term
50 | TacticAst.ElimType (_, term) -> Tactics.elim_type term
51 | TacticAst.Replace (_, what, with_what) -> Tactics.replace ~what ~with_what
52 | TacticAst.Auto (_,num) ->
53 AutoTactic.auto_tac ~num (MatitaDb.instance ())
54 | TacticAst.Change (_, what, with_what, _) -> Tactics.change ~what ~with_what
56 (* TODO Zack a lot more of tactics to be implemented here ... *)
57 | TacticAst.Change_pattern of 'term pattern * 'term * 'ident option
58 | TacticAst.Change of 'term * 'term * 'ident option
59 | TacticAst.Decompose of 'ident * 'ident list
60 | TacticAst.Discriminate of 'ident
61 | TacticAst.Fold of reduction_kind * 'term
62 | TacticAst.Injection of 'ident
63 | TacticAst.Replace_pattern of 'term pattern * 'term
65 | TacticAst.LetIn (loc,term,name) ->
66 Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
67 | TacticAst.ReduceAt (_,reduction_kind,ident,path) ->
68 ProofEngineTypes.mk_tactic
69 (fun (((_,metasenv,_,_),goal) as status) ->
70 let metano,context,ty = CicUtil.lookup_meta goal metasenv in
71 let where, also_in_hypotheses =
72 if ident = "goal" then
78 | Some (Cic.Name name,entry) when name = ident -> true
83 raise (ProofEngineTypes.Fail
84 (ident ^ " is not an hypothesis"))
87 | Some (_, Cic.Decl term) -> term
88 | Some (_, Cic.Def (term,ty)) -> term
89 | None -> assert false),true
91 let pointers = CicUtil.select ~term:where ~context:path in
92 (match reduction_kind with
94 ProofEngineTypes.apply_tactic
95 (Tactics.normalize ~also_in_hypotheses ~terms:(Some pointers))
98 ProofEngineTypes.apply_tactic
99 (Tactics.reduce ~also_in_hypotheses ~terms:(Some pointers))
102 ProofEngineTypes.apply_tactic
103 (Tactics.simpl ~also_in_hypotheses ~terms:(Some pointers))
106 ProofEngineTypes.apply_tactic
107 (Tactics.whd ~also_in_hypotheses ~terms:(Some pointers))
109 | TacticAst.Reduce (_,reduction_kind,opts) ->
110 let terms, also_in_hypotheses =
112 | Some (l,`Goal) -> Some l, false
113 | Some (l,`Everywhere) -> Some l, true
114 | None -> None, false
116 (match reduction_kind with
117 | `Normalize -> Tactics.normalize ~also_in_hypotheses ~terms
118 | `Reduce -> Tactics.reduce ~also_in_hypotheses ~terms
119 | `Simpl -> Tactics.simpl ~also_in_hypotheses ~terms
120 | `Whd -> Tactics.whd ~also_in_hypotheses ~terms)
121 | TacticAst.Rewrite (_,dir,t,ident) ->
123 EqualityTactics.rewrite_tac ~term:t
125 EqualityTactics.rewrite_back_tac ~term:t
128 let eval_tactical status tac =
129 let apply_tactic tactic =
131 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
136 let (_,metasenv,_,_) = proof in
139 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
140 | ng::_ -> Incomplete_proof (proof, ng)
142 { status with proof_status = new_status }
144 let rec tactical_of_ast = function
145 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
146 | TacticAst.Fail loc -> Tacticals.fail
147 | TacticAst.Do (loc, num, tactical) ->
148 Tacticals.do_tactic num (tactical_of_ast tactical)
149 | TacticAst.IdTac loc -> Tacticals.id_tac
150 | TacticAst.Repeat (loc, tactical) ->
151 Tacticals.repeat_tactic (tactical_of_ast tactical)
152 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
153 Tacticals.seq (List.map tactical_of_ast tacticals)
154 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
155 Tacticals.thens (tactical_of_ast tactical)
156 (List.map tactical_of_ast tacticals)
157 | TacticAst.Tries (loc, tacticals) ->
158 Tacticals.try_tactics
159 (List.map (fun t -> "", tactical_of_ast t) tacticals)
160 | TacticAst.Try (loc, tactical) ->
161 Tacticals.try_tactic (tactical_of_ast tactical)
163 apply_tactic (tactical_of_ast tac)
165 let eval_coercion status coercion =
166 let coer_uri,coer_ty =
171 CicEnvironment.get_obj CicUniv.empty_ugraph uri
174 | Cic.Constant (_,_,ty,_,_)
175 | Cic.Variable (_,_,ty,_,_) ->
178 | Cic.MutConstruct (uri,t,c,_) ->
180 CicEnvironment.get_obj CicUniv.empty_ugraph uri
183 | Cic.InductiveDefinition (l,_,_,_) ->
184 let (_,_,_,cl) = List.nth l t in
185 let (_,cty) = List.nth cl c in
190 (* we have to get the source and the tgt type uri
191 * in Coq syntax we have already their names, but
192 * since we don't support Funclass and similar I think
193 * all the coercion should be of the form
195 * So we should be able to extract them from the coercion type
197 let extract_last_two_p ty =
198 let rec aux = function
199 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
200 | Cic.Prod( _, src, tgt) -> src, tgt
205 let ty_src,ty_tgt = extract_last_two_p coer_ty in
208 let ty_src = CicReduction.whd context ty_src in
209 UriManager.uri_of_string (CicUtil.uri_of_term ty_src)
212 let ty_tgt = CicReduction.whd context ty_tgt in
213 UriManager.uri_of_string (CicUtil.uri_of_term ty_tgt)
216 (* also adds them to the Db *)
217 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
219 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
220 status new_coercions in
221 {status with proof_status = No_proof}
223 let generate_elimination_principles uri status =
224 let elim sort status =
226 let uri,obj = CicElim.elim_of ~sort uri 0 in
227 MatitaSync.add_obj uri obj status
228 with CicElim.Can_t_eliminate -> status
230 List.fold_left (fun status sort -> elim sort status) status
231 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
233 let generate_projections uri status =
234 let projections = CicRecord.projections_of uri in
236 (fun status (uri, name, bo) ->
239 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
240 let bo = Unshare.unshare bo in
241 let ty = Unshare.unshare ty in
242 let attrs = [`Class `Projection; `Generated] in
243 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
244 MatitaSync.add_obj uri obj status
246 CicTypeChecker.TypeCheckerFailure s ->
248 ("Unable to create projection " ^ name ^ " cause: " ^ s);
250 | CicEnvironment.Object_not_found uri ->
251 let depend = UriManager.name_of_uri uri in
253 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
257 let eval_command status cmd =
259 | TacticAst.Set (loc, name, value) -> set_option status name value
260 | TacticAst.Qed loc ->
261 let uri, metasenv, bo, ty =
262 match status.proof_status with
263 | Proof (Some uri, metasenv, body, ty) ->
264 uri, metasenv, body, ty
265 | Proof (None, metasenv, body, ty) ->
267 ("Someone allows to start a thm without giving the "^
268 "name/uri. This should be fixed!")
269 | _-> command_error "You can't qed an uncomplete theorem"
271 let suri = UriManager.string_of_uri uri in
272 if metasenv <> [] then
273 command_error "Proof not completed! metasenv is not empty!";
274 let name = UriManager.name_of_uri uri in
275 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
276 MatitaSync.add_obj uri obj status
277 | TacticAst.Coercion (loc, coercion) ->
278 eval_coercion status coercion
279 | TacticAst.Alias (loc, spec) ->
281 | TacticAst.Ident_alias (id,uri) ->
282 {status with aliases =
283 DisambiguateTypes.Environment.add
284 (DisambiguateTypes.Id id)
285 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri uri))
287 | TacticAst.Symbol_alias (symb, instance, desc) ->
288 {status with aliases =
289 DisambiguateTypes.Environment.add
290 (DisambiguateTypes.Symbol (symb,instance))
291 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
293 | TacticAst.Number_alias (instance,desc) ->
294 {status with aliases =
295 DisambiguateTypes.Environment.add
296 (DisambiguateTypes.Num instance)
297 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
298 | TacticAst.Obj (loc,obj) ->
301 Cic.Constant (name,_,_,_,_)
302 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
303 | Cic.InductiveDefinition (types,_,_,_) ->
305 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
306 | _ -> assert false in
308 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
310 let metasenv = MatitaMisc.get_proof_metasenv status in
312 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
313 assert (metasenv = metasenv');
315 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
316 let initial_proof = (Some uri, metasenv, bo, ty) in
317 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
319 if metasenv <> [] then
321 "metasenv not empty while giving a definition with body: " ^
322 CicMetaSubst.ppmetasenv metasenv []);
323 let status = MatitaSync.add_obj uri obj status in
325 Cic.Constant _ -> status
326 | Cic.InductiveDefinition (_,_,_,attrs)
327 when List.mem (`Class `Record) attrs ->
328 let status = generate_elimination_principles uri status in
329 generate_projections uri status
330 | Cic.InductiveDefinition (_,_,_,_) ->
331 generate_elimination_principles uri status
333 | Cic.Variable _ -> assert false
335 let eval_executable status ex =
337 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
338 | TacticAst.Command (_, cmd) -> eval_command status cmd
339 | TacticAst.Macro (_, mac) ->
340 command_error (sprintf "The macro %s can't be in a script"
341 (TacticAstPp.pp_macro_cic mac))
343 let eval_comment status c = status
347 | TacticAst.Executable (_,ex) -> eval_executable status ex
348 | TacticAst.Comment (_,c) -> eval_comment status c
350 let disambiguate_term status term =
351 let (aliases, metasenv, cic, _) =
353 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
354 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
355 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
361 match status.proof_status with
362 | No_proof -> Intermediate metasenv
363 | Incomplete_proof ((uri, _, proof, ty), goal) ->
364 Incomplete_proof ((uri, metasenv, proof, ty), goal)
365 | Intermediate _ -> Intermediate metasenv
366 | Proof _ -> assert false
371 proof_status = proof_status }
375 let disambiguate_obj status obj =
378 TacticAst.Inductive (_,(name,_,_,_)::_)
379 | TacticAst.Record (_,name,_,_) ->
380 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
381 | TacticAst.Inductive _ -> assert false
383 let (aliases, metasenv, cic, _) =
385 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
386 ~aliases:(status.aliases) ~uri obj
392 match status.proof_status with
393 | No_proof -> Intermediate metasenv
396 | Proof _ -> assert false
401 proof_status = proof_status }
405 let disambiguate_closedtypes status terms =
406 let term = CicAst.pack terms in
407 let status, term = disambiguate_term status term in
408 status, CicUtil.unpack term
410 let disambiguate_tactic status = function
411 | TacticAst.Transitivity (loc, term) ->
412 let status, cic = disambiguate_term status term in
413 status, TacticAst.Transitivity (loc, cic)
414 | TacticAst.Apply (loc, term) ->
415 let status, cic = disambiguate_term status term in
416 status, TacticAst.Apply (loc, cic)
417 | TacticAst.Absurd (loc, term) ->
418 let status, cic = disambiguate_term status term in
419 status, TacticAst.Absurd (loc, cic)
420 | TacticAst.Exact (loc, term) ->
421 let status, cic = disambiguate_term status term in
422 status, TacticAst.Exact (loc, cic)
423 | TacticAst.Cut (loc, term) ->
424 let status, cic = disambiguate_term status term in
425 status, TacticAst.Cut (loc, cic)
426 | TacticAst.Elim (loc, term, Some term') ->
427 let status, cic1 = disambiguate_term status term in
428 let status, cic2 = disambiguate_term status term' in
429 status, TacticAst.Elim (loc, cic1, Some cic2)
430 | TacticAst.Elim (loc, term, None) ->
431 let status, cic = disambiguate_term status term in
432 status, TacticAst.Elim (loc, cic, None)
433 | TacticAst.ElimType (loc, term) ->
434 let status, cic = disambiguate_term status term in
435 status, TacticAst.ElimType (loc, cic)
436 | TacticAst.Replace (loc, what, with_what) ->
437 let status, cic1 = disambiguate_term status what in
438 let status, cic2 = disambiguate_term status with_what in
439 status, TacticAst.Replace (loc, cic1, cic2)
440 | TacticAst.Change (loc, what, with_what, ident) ->
441 let status, cic1 = disambiguate_term status what in
442 let status, cic2 = disambiguate_term status with_what in
443 status, TacticAst.Change (loc, cic1, cic2, ident)
445 (* TODO Zack a lot more of tactics to be implemented here ... *)
446 | TacticAst.Change_pattern of 'term pattern * 'term * 'ident option
447 | TacticAst.Change of 'term * 'term * 'ident option
448 | TacticAst.Decompose of 'ident * 'ident list
449 | TacticAst.Discriminate of 'ident
450 | TacticAst.Fold of reduction_kind * 'term
451 | TacticAst.Injection of 'ident
452 | TacticAst.Replace_pattern of 'term pattern * 'term
454 | TacticAst.LetIn (loc,term,name) ->
455 let status, term = disambiguate_term status term in
456 status, TacticAst.LetIn (loc,term,name)
457 | TacticAst.ReduceAt (loc, reduction_kind, ident, path) ->
458 let path = Disambiguate.interpretate_path [] status.aliases path in
459 status, TacticAst.ReduceAt(loc, reduction_kind, ident, path)
460 | TacticAst.Reduce (loc, reduction_kind, opts) ->
463 | None -> status, None
466 List.fold_right (fun t (status,acc) ->
467 let status',t' = disambiguate_term status t in
471 status, Some (l, pat)
473 status, TacticAst.Reduce (loc, reduction_kind, opts)
474 | TacticAst.Rewrite (loc,dir,t,ident) ->
475 let status, term = disambiguate_term status t in
476 status, TacticAst.Rewrite (loc,dir,term,ident)
477 | TacticAst.Intros (loc, num, names) ->
478 status, TacticAst.Intros (loc, num, names)
479 | TacticAst.Auto (loc,num) -> status, TacticAst.Auto (loc,num)
480 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
481 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
482 | TacticAst.Contradiction loc -> status, TacticAst.Contradiction loc
483 | TacticAst.Exists loc -> status, TacticAst.Exists loc
484 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
485 | TacticAst.Left loc -> status, TacticAst.Left loc
486 | TacticAst.Right loc -> status, TacticAst.Right loc
487 | TacticAst.Ring loc -> status, TacticAst.Ring loc
488 | TacticAst.Split loc -> status, TacticAst.Split loc
489 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
490 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
492 print_endline ("Not yet implemented:" ^ TacticAstPp.pp_tactic x);
495 let rec disambiguate_tactical status = function
496 | TacticAst.Tactic (loc, tactic) ->
497 let status, tac = disambiguate_tactic status tactic in
498 status, TacticAst.Tactic (loc, tac)
499 | TacticAst.Do (loc, num, tactical) ->
500 let status, tac = disambiguate_tactical status tactical in
501 status, TacticAst.Do (loc, num, tac)
502 | TacticAst.Repeat (loc, tactical) ->
503 let status, tac = disambiguate_tactical status tactical in
504 status, TacticAst.Repeat (loc, tac)
505 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
506 let status, tacticals = disambiguate_tacticals status tacticals in
507 let tacticals = List.rev tacticals in
508 status, TacticAst.Seq (loc, tacticals)
509 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
510 let status, tactical = disambiguate_tactical status tactical in
511 let status, tacticals = disambiguate_tacticals status tacticals in
512 status, TacticAst.Then (loc, tactical, tacticals)
513 | TacticAst.Tries (loc, tacticals) ->
514 let status, tacticals = disambiguate_tacticals status tacticals in
515 status, TacticAst.Tries (loc, tacticals)
516 | TacticAst.Try (loc, tactical) ->
517 let status, tactical = disambiguate_tactical status tactical in
518 status, TacticAst.Try (loc, tactical)
519 | (TacticAst.IdTac _ | TacticAst.Fail _) as tac ->
522 and disambiguate_tacticals status tacticals =
523 let status, tacticals =
525 (fun (status, tacticals) tactical ->
526 let status, tac = disambiguate_tactical status tactical in
527 status, tac :: tacticals)
531 let tacticals = List.rev tacticals in
534 let disambiguate_command status = function
535 | TacticAst.Coercion (loc, term) ->
536 let status, term = disambiguate_term status term in
537 status, TacticAst.Coercion (loc,term)
538 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
540 | TacticAst.Alias _ as x -> status, x
541 | TacticAst.Obj (loc,obj) ->
542 let status,obj = disambiguate_obj status obj in
543 status, TacticAst.Obj (loc,obj)
545 let disambiguate_executable status ex =
547 | TacticAst.Tactical (loc, tac) ->
548 let status, tac = disambiguate_tactical status tac in
549 status, (TacticAst.Tactical (loc, tac))
550 | TacticAst.Command (loc, cmd) ->
551 let status, cmd = disambiguate_command status cmd in
552 status, (TacticAst.Command (loc, cmd))
553 | TacticAst.Macro (_, mac) ->
554 command_error (sprintf "The macro %s can't be in a script"
555 (TacticAstPp.pp_macro_ast mac))
557 let disambiguate_comment status c =
559 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
560 | TacticAst.Code (loc,ex) ->
561 let status, ex = disambiguate_executable status ex in
562 status, TacticAst.Code (loc,ex)
564 let disambiguate_statement status statement =
566 | TacticAst.Comment (loc,c) ->
567 let status, c = disambiguate_comment status c in
568 status, TacticAst.Comment (loc,c)
569 | TacticAst.Executable (loc,ex) ->
570 let status, ex = disambiguate_executable status ex in
571 status, TacticAst.Executable (loc,ex)
573 let eval_ast status ast =
574 let status,st = disambiguate_statement status ast in
575 (* this disambiguation step should be deferred to support tacticals *)
578 let eval_from_stream status str cb =
579 let stl = CicTextualParser2.parse_statements str in
581 (fun status ast -> cb status ast;eval_ast status ast) status
584 let eval_string status str =
585 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
587 let default_options () =
589 StringMap.add "baseuri"
591 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
595 StringMap.add "basedir"
596 (String (Helm_registry.get "matita.basedir" ))
603 aliases = DisambiguateTypes.empty_environment;
604 proof_status = No_proof;
605 options = default_options ();