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
126 | TacticAst.FwdSimpl (_, name) ->
127 Tactics.fwd_simpl ~hyp:(Cic.Name name) ~dbd:(MatitaDb.instance ())
128 | TacticAst.LApply (_, term, substs) ->
129 let f (name, term) = Cic.Name name, term in
130 Tactics.lapply ~substs:(List.map f substs) term
133 let eval_tactical status tac =
134 let apply_tactic tactic =
136 ProofEngineTypes.apply_tactic tactic (MatitaMisc.get_proof_status status)
141 let (_,metasenv,_,_) = proof in
144 | (ng,_,_)::_ -> Incomplete_proof (proof,ng))
145 | ng::_ -> Incomplete_proof (proof, ng)
147 { status with proof_status = new_status }
149 let rec tactical_of_ast = function
150 | TacticAst.Tactic (loc, tactic) -> tactic_of_ast tactic
151 | TacticAst.Fail loc -> Tacticals.fail
152 | TacticAst.Do (loc, num, tactical) ->
153 Tacticals.do_tactic num (tactical_of_ast tactical)
154 | TacticAst.IdTac loc -> Tacticals.id_tac
155 | TacticAst.Repeat (loc, tactical) ->
156 Tacticals.repeat_tactic (tactical_of_ast tactical)
157 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
158 Tacticals.seq (List.map tactical_of_ast tacticals)
159 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
160 Tacticals.thens (tactical_of_ast tactical)
161 (List.map tactical_of_ast tacticals)
162 | TacticAst.Tries (loc, tacticals) ->
163 Tacticals.try_tactics
164 (List.map (fun t -> "", tactical_of_ast t) tacticals)
165 | TacticAst.Try (loc, tactical) ->
166 Tacticals.try_tactic (tactical_of_ast tactical)
168 apply_tactic (tactical_of_ast tac)
170 let eval_coercion status coercion =
171 let coer_uri,coer_ty =
176 CicEnvironment.get_obj CicUniv.empty_ugraph uri
179 | Cic.Constant (_,_,ty,_,_)
180 | Cic.Variable (_,_,ty,_,_) ->
183 | Cic.MutConstruct (uri,t,c,_) ->
185 CicEnvironment.get_obj CicUniv.empty_ugraph uri
188 | Cic.InductiveDefinition (l,_,_,_) ->
189 let (_,_,_,cl) = List.nth l t in
190 let (_,cty) = List.nth cl c in
195 (* we have to get the source and the tgt type uri
196 * in Coq syntax we have already their names, but
197 * since we don't support Funclass and similar I think
198 * all the coercion should be of the form
200 * So we should be able to extract them from the coercion type
202 let extract_last_two_p ty =
203 let rec aux = function
204 | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
205 | Cic.Prod( _, src, tgt) -> src, tgt
210 let ty_src,ty_tgt = extract_last_two_p coer_ty in
213 let ty_src = CicReduction.whd context ty_src in
214 UriManager.uri_of_string (CicUtil.uri_of_term ty_src)
217 let ty_tgt = CicReduction.whd context ty_tgt in
218 UriManager.uri_of_string (CicUtil.uri_of_term ty_tgt)
221 (* also adds them to the Db *)
222 CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
224 List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
225 status new_coercions in
226 {status with proof_status = No_proof}
228 let generate_elimination_principles uri status =
229 let elim sort status =
231 let uri,obj = CicElim.elim_of ~sort uri 0 in
232 MatitaSync.add_obj uri obj status
233 with CicElim.Can_t_eliminate -> status
235 List.fold_left (fun status sort -> elim sort status) status
236 [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
238 let generate_projections uri fields status =
239 let projections = CicRecord.projections_of uri fields in
241 (fun status (uri, name, bo) ->
244 CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
245 let bo = Unshare.unshare bo in
246 let ty = Unshare.unshare ty in
247 let attrs = [`Class `Projection; `Generated] in
248 let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
249 MatitaSync.add_obj uri obj status
251 CicTypeChecker.TypeCheckerFailure s ->
253 ("Unable to create projection " ^ name ^ " cause: " ^ s);
255 | CicEnvironment.Object_not_found uri ->
256 let depend = UriManager.name_of_uri uri in
258 ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
262 let eval_command status cmd =
264 | TacticAst.Set (loc, name, value) -> set_option status name value
265 | TacticAst.Qed loc ->
266 let uri, metasenv, bo, ty =
267 match status.proof_status with
268 | Proof (Some uri, metasenv, body, ty) ->
269 uri, metasenv, body, ty
270 | Proof (None, metasenv, body, ty) ->
272 ("Someone allows to start a thm without giving the "^
273 "name/uri. This should be fixed!")
274 | _-> command_error "You can't qed an uncomplete theorem"
276 let suri = UriManager.string_of_uri uri in
277 if metasenv <> [] then
278 command_error "Proof not completed! metasenv is not empty!";
279 let name = UriManager.name_of_uri uri in
280 let obj = Cic.Constant (name,Some bo,ty,[],[]) in
281 MatitaSync.add_obj uri obj status
282 | TacticAst.Coercion (loc, coercion) ->
283 eval_coercion status coercion
284 | TacticAst.Alias (loc, spec) ->
286 | TacticAst.Ident_alias (id,uri) ->
287 {status with aliases =
288 DisambiguateTypes.Environment.add
289 (DisambiguateTypes.Id id)
290 ("boh?",(fun _ _ _ -> CicUtil.term_of_uri uri))
292 | TacticAst.Symbol_alias (symb, instance, desc) ->
293 {status with aliases =
294 DisambiguateTypes.Environment.add
295 (DisambiguateTypes.Symbol (symb,instance))
296 (DisambiguateChoices.lookup_symbol_by_dsc symb desc)
298 | TacticAst.Number_alias (instance,desc) ->
299 {status with aliases =
300 DisambiguateTypes.Environment.add
301 (DisambiguateTypes.Num instance)
302 (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
303 | TacticAst.Obj (loc,obj) ->
306 Cic.Constant (name,_,_,_,_)
307 | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
308 | Cic.InductiveDefinition (types,_,_,_) ->
310 (match types with (name,_,_,_)::_ -> name | _ -> assert false)
311 | _ -> assert false in
313 UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
315 let metasenv = MatitaMisc.get_proof_metasenv status in
317 Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
318 assert (metasenv = metasenv');
320 match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
321 let initial_proof = (Some uri, metasenv, bo, ty) in
322 { status with proof_status = Incomplete_proof (initial_proof,goalno)}
324 if metasenv <> [] then
326 "metasenv not empty while giving a definition with body: " ^
327 CicMetaSubst.ppmetasenv metasenv []);
328 let status = MatitaSync.add_obj uri obj status in
330 Cic.Constant _ -> status
331 | Cic.InductiveDefinition (_,_,_,attrs) ->
332 let status = generate_elimination_principles uri status in
333 let rec get_record_attrs =
336 | (`Class (`Record fields))::_ -> Some fields
337 | _::tl -> get_record_attrs tl
339 (match get_record_attrs attrs with
340 None -> status (* not a record *)
341 | Some fields -> generate_projections uri fields status)
343 | Cic.Variable _ -> assert false
345 let eval_executable status ex =
347 | TacticAst.Tactical (_, tac) -> eval_tactical status tac
348 | TacticAst.Command (_, cmd) -> eval_command status cmd
349 | TacticAst.Macro (_, mac) ->
350 command_error (sprintf "The macro %s can't be in a script"
351 (TacticAstPp.pp_macro_cic mac))
353 let eval_comment status c = status
357 | TacticAst.Executable (_,ex) -> eval_executable status ex
358 | TacticAst.Comment (_,c) -> eval_comment status c
360 let disambiguate_term status term =
361 let (aliases, metasenv, cic, _) =
363 MatitaDisambiguator.disambiguate_term ~dbd:(MatitaDb.instance ())
364 ~aliases:(status.aliases) ~context:(MatitaMisc.get_proof_context status)
365 ~metasenv:(MatitaMisc.get_proof_metasenv status) term
371 match status.proof_status with
372 | No_proof -> Intermediate metasenv
373 | Incomplete_proof ((uri, _, proof, ty), goal) ->
374 Incomplete_proof ((uri, metasenv, proof, ty), goal)
375 | Intermediate _ -> Intermediate metasenv
376 | Proof _ -> assert false
381 proof_status = proof_status }
385 let disambiguate_obj status obj =
388 TacticAst.Inductive (_,(name,_,_,_)::_)
389 | TacticAst.Record (_,name,_,_) ->
390 Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
391 | TacticAst.Inductive _ -> assert false
393 let (aliases, metasenv, cic, _) =
395 MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
396 ~aliases:(status.aliases) ~uri obj
402 match status.proof_status with
403 | No_proof -> Intermediate metasenv
406 | Proof _ -> assert false
411 proof_status = proof_status }
415 let disambiguate_closedtypes status terms =
416 let term = CicAst.pack terms in
417 let status, term = disambiguate_term status term in
418 status, CicUtil.unpack term
420 let disambiguate_tactic status = function
421 | TacticAst.Transitivity (loc, term) ->
422 let status, cic = disambiguate_term status term in
423 status, TacticAst.Transitivity (loc, cic)
424 | TacticAst.Apply (loc, term) ->
425 let status, cic = disambiguate_term status term in
426 status, TacticAst.Apply (loc, cic)
427 | TacticAst.Absurd (loc, term) ->
428 let status, cic = disambiguate_term status term in
429 status, TacticAst.Absurd (loc, cic)
430 | TacticAst.Exact (loc, term) ->
431 let status, cic = disambiguate_term status term in
432 status, TacticAst.Exact (loc, cic)
433 | TacticAst.Cut (loc, term) ->
434 let status, cic = disambiguate_term status term in
435 status, TacticAst.Cut (loc, cic)
436 | TacticAst.Elim (loc, term, Some term') ->
437 let status, cic1 = disambiguate_term status term in
438 let status, cic2 = disambiguate_term status term' in
439 status, TacticAst.Elim (loc, cic1, Some cic2)
440 | TacticAst.Elim (loc, term, None) ->
441 let status, cic = disambiguate_term status term in
442 status, TacticAst.Elim (loc, cic, None)
443 | TacticAst.ElimType (loc, term) ->
444 let status, cic = disambiguate_term status term in
445 status, TacticAst.ElimType (loc, cic)
446 | TacticAst.Replace (loc, what, with_what) ->
447 let status, cic1 = disambiguate_term status what in
448 let status, cic2 = disambiguate_term status with_what in
449 status, TacticAst.Replace (loc, cic1, cic2)
450 | TacticAst.Change (loc, what, with_what, ident) ->
451 let status, cic1 = disambiguate_term status what in
452 let status, cic2 = disambiguate_term status with_what in
453 status, TacticAst.Change (loc, cic1, cic2, ident)
455 (* TODO Zack a lot more of tactics to be implemented here ... *)
456 | TacticAst.Change_pattern of 'term pattern * 'term * 'ident option
457 | TacticAst.Change of 'term * 'term * 'ident option
458 | TacticAst.Decompose of 'ident * 'ident list
459 | TacticAst.Discriminate of 'ident
460 | TacticAst.Fold of reduction_kind * 'term
461 | TacticAst.Injection of 'ident
462 | TacticAst.Replace_pattern of 'term pattern * 'term
464 | TacticAst.LetIn (loc,term,name) ->
465 let status, term = disambiguate_term status term in
466 status, TacticAst.LetIn (loc,term,name)
467 | TacticAst.ReduceAt (loc, reduction_kind, ident, path) ->
468 let path = Disambiguate.interpretate_path [] status.aliases path in
469 status, TacticAst.ReduceAt(loc, reduction_kind, ident, path)
470 | TacticAst.Reduce (loc, reduction_kind, opts) ->
473 | None -> status, None
476 List.fold_right (fun t (status,acc) ->
477 let status',t' = disambiguate_term status t in
481 status, Some (l, pat)
483 status, TacticAst.Reduce (loc, reduction_kind, opts)
484 | TacticAst.Rewrite (loc,dir,t,ident) ->
485 let status, term = disambiguate_term status t in
486 status, TacticAst.Rewrite (loc,dir,term,ident)
487 | TacticAst.Intros (loc, num, names) ->
488 status, TacticAst.Intros (loc, num, names)
489 | TacticAst.Auto (loc,num) -> status, TacticAst.Auto (loc,num)
490 | TacticAst.Reflexivity loc -> status, TacticAst.Reflexivity loc
491 | TacticAst.Assumption loc -> status, TacticAst.Assumption loc
492 | TacticAst.Contradiction loc -> status, TacticAst.Contradiction loc
493 | TacticAst.Exists loc -> status, TacticAst.Exists loc
494 | TacticAst.Fourier loc -> status, TacticAst.Fourier loc
495 | TacticAst.Left loc -> status, TacticAst.Left loc
496 | TacticAst.Right loc -> status, TacticAst.Right loc
497 | TacticAst.Ring loc -> status, TacticAst.Ring loc
498 | TacticAst.Split loc -> status, TacticAst.Split loc
499 | TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
500 | TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
501 | TacticAst.FwdSimpl (loc, name) -> status, TacticAst.FwdSimpl (loc, name)
502 | TacticAst.LApply (loc, term, substs) ->
503 let f (status, substs) (name, term) =
504 let status, term = disambiguate_term status term in
505 status, (name, term) :: substs
507 let status, term = disambiguate_term status term in
508 let status, substs = List.fold_left f (status, []) substs in
509 status, TacticAst.LApply (loc, term, substs)
512 print_endline ("Not yet implemented:" ^ TacticAstPp.pp_tactic x);
515 let rec disambiguate_tactical status = function
516 | TacticAst.Tactic (loc, tactic) ->
517 let status, tac = disambiguate_tactic status tactic in
518 status, TacticAst.Tactic (loc, tac)
519 | TacticAst.Do (loc, num, tactical) ->
520 let status, tac = disambiguate_tactical status tactical in
521 status, TacticAst.Do (loc, num, tac)
522 | TacticAst.Repeat (loc, tactical) ->
523 let status, tac = disambiguate_tactical status tactical in
524 status, TacticAst.Repeat (loc, tac)
525 | TacticAst.Seq (loc, tacticals) -> (* tac1; tac2; ... *)
526 let status, tacticals = disambiguate_tacticals status tacticals in
527 let tacticals = List.rev tacticals in
528 status, TacticAst.Seq (loc, tacticals)
529 | TacticAst.Then (loc, tactical, tacticals) -> (* tac; [ tac1 | ... ] *)
530 let status, tactical = disambiguate_tactical status tactical in
531 let status, tacticals = disambiguate_tacticals status tacticals in
532 status, TacticAst.Then (loc, tactical, tacticals)
533 | TacticAst.Tries (loc, tacticals) ->
534 let status, tacticals = disambiguate_tacticals status tacticals in
535 status, TacticAst.Tries (loc, tacticals)
536 | TacticAst.Try (loc, tactical) ->
537 let status, tactical = disambiguate_tactical status tactical in
538 status, TacticAst.Try (loc, tactical)
539 | (TacticAst.IdTac _ | TacticAst.Fail _) as tac ->
542 and disambiguate_tacticals status tacticals =
543 let status, tacticals =
545 (fun (status, tacticals) tactical ->
546 let status, tac = disambiguate_tactical status tactical in
547 status, tac :: tacticals)
551 let tacticals = List.rev tacticals in
554 let disambiguate_command status = function
555 | TacticAst.Coercion (loc, term) ->
556 let status, term = disambiguate_term status term in
557 status, TacticAst.Coercion (loc,term)
558 | (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
560 | TacticAst.Alias _ as x -> status, x
561 | TacticAst.Obj (loc,obj) ->
562 let status,obj = disambiguate_obj status obj in
563 status, TacticAst.Obj (loc,obj)
565 let disambiguate_executable status ex =
567 | TacticAst.Tactical (loc, tac) ->
568 let status, tac = disambiguate_tactical status tac in
569 status, (TacticAst.Tactical (loc, tac))
570 | TacticAst.Command (loc, cmd) ->
571 let status, cmd = disambiguate_command status cmd in
572 status, (TacticAst.Command (loc, cmd))
573 | TacticAst.Macro (_, mac) ->
574 command_error (sprintf "The macro %s can't be in a script"
575 (TacticAstPp.pp_macro_ast mac))
577 let disambiguate_comment status c =
579 | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
580 | TacticAst.Code (loc,ex) ->
581 let status, ex = disambiguate_executable status ex in
582 status, TacticAst.Code (loc,ex)
584 let disambiguate_statement status statement =
586 | TacticAst.Comment (loc,c) ->
587 let status, c = disambiguate_comment status c in
588 status, TacticAst.Comment (loc,c)
589 | TacticAst.Executable (loc,ex) ->
590 let status, ex = disambiguate_executable status ex in
591 status, TacticAst.Executable (loc,ex)
593 let eval_ast status ast =
594 let status,st = disambiguate_statement status ast in
595 (* this disambiguation step should be deferred to support tacticals *)
598 let eval_from_stream status str cb =
599 let stl = CicTextualParser2.parse_statements str in
601 (fun status ast -> cb status ast;eval_ast status ast) status
604 let eval_string status str =
605 eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
607 let default_options () =
609 StringMap.add "baseuri"
611 (Helm_registry.get "matita.baseuri" ^ Helm_registry.get "matita.owner"))
615 StringMap.add "basedir"
616 (String (Helm_registry.get "matita.basedir" ))
623 aliases = DisambiguateTypes.empty_environment;
624 proof_status = No_proof;
625 options = default_options ();