1 (* Copyright (C) 2000, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
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9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
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13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://cs.unibo.it/helm/.
28 (* TODO factorize functions to frequent errors (e.g. "Unknwon mutual inductive
33 exception AssertFailure of string Lazy.t;;
34 exception TypeCheckerFailure of string Lazy.t;;
38 let rec debug_aux t i =
40 let module U = UriManager in
41 CicPp.ppobj (C.Variable ("DEBUG", None, t, [], [])) ^ "\n" ^ i
44 raise (TypeCheckerFailure (lazy (List.fold_right debug_aux (t::context) "")))
47 let debug_print = fun _ -> ();;
52 | (he::tl, n) -> let (l1,l2) = split tl (n-1) in (he::l1,l2)
54 raise (TypeCheckerFailure (lazy "Parameters number < left parameters number"))
58 let ugraph_convertibility ug1 ug2 ul2 = true;;
60 let check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri obj =
61 match unchecked_ugraph with
63 if not (ugraph_convertibility inferred_ugraph ug ul) then
64 raise (TypeCheckerFailure (lazy
65 ("inferred univ graph not equal with declared ugraph")))
69 CicUnivUtils.clean_and_fill uri obj inferred_ugraph
72 let debrujin_constructor ?(cb=fun _ _ -> ()) ?(check_exp_named_subst=true) uri number_of_types context =
77 C.Rel n as t when n <= k -> t
79 raise (TypeCheckerFailure (lazy "unbound variable found in constructor type"))
80 | C.Var (uri,exp_named_subst) ->
81 let exp_named_subst' =
82 List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
84 C.Var (uri,exp_named_subst')
86 let l' = List.map (function None -> None | Some t -> Some (aux k t)) l in
89 | C.Implicit _ as t -> t
90 | C.Cast (te,ty) -> C.Cast (aux k te, aux k ty)
91 | C.Prod (n,s,t) -> C.Prod (n, aux k s, aux (k+1) t)
92 | C.Lambda (n,s,t) -> C.Lambda (n, aux k s, aux (k+1) t)
93 | C.LetIn (n,s,ty,t) -> C.LetIn (n, aux k s, aux k ty, aux (k+1) t)
94 | C.Appl l -> C.Appl (List.map (aux k) l)
95 | C.Const (uri,exp_named_subst) ->
96 let exp_named_subst' =
97 List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
99 C.Const (uri,exp_named_subst')
100 | C.MutInd (uri',tyno,exp_named_subst) when UriManager.eq uri uri' ->
101 if check_exp_named_subst && exp_named_subst != [] then
102 raise (TypeCheckerFailure
103 (lazy ("non-empty explicit named substitution is applied to "^
104 "a mutual inductive type which is being defined"))) ;
105 C.Rel (k + number_of_types - tyno) ;
106 | C.MutInd (uri',tyno,exp_named_subst) ->
107 let exp_named_subst' =
108 List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
110 C.MutInd (uri',tyno,exp_named_subst')
111 | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
112 let exp_named_subst' =
113 List.map (function (uri,t) -> (uri,aux k t)) exp_named_subst
115 C.MutConstruct (uri,tyno,consno,exp_named_subst')
116 | C.MutCase (sp,i,outty,t,pl) ->
117 C.MutCase (sp, i, aux k outty, aux k t,
120 let len = List.length fl in
123 (fun (name, i, ty, bo) -> (name, i, aux k ty, aux (k+len) bo))
128 let len = List.length fl in
131 (fun (name, ty, bo) -> (name, aux k ty, aux (k+len) bo))
134 C.CoFix (i, liftedfl)
139 aux (List.length context)
142 exception CicEnvironmentError;;
144 let rec type_of_constant ~logger uri orig_ugraph =
145 let module C = Cic in
146 let module R = CicReduction in
147 let module U = UriManager in
149 match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
150 CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
151 | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
152 logger#log (`Start_type_checking uri) ;
153 (* let's typecheck the uncooked obj *)
154 let inferred_ugraph =
156 C.Constant (_,Some te,ty,_,_) ->
157 let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
158 let type_of_te,ugraph = type_of ~logger te ugraph in
159 let b,ugraph = R.are_convertible [] type_of_te ty ugraph in
161 raise (TypeCheckerFailure (lazy (sprintf
162 "the constant %s is not well typed because the type %s of the body is not convertible to the declared type %s"
163 (U.string_of_uri uri) (CicPp.ppterm type_of_te)
167 | C.Constant (_,None,ty,_,_) ->
168 (* only to check that ty is well-typed *)
169 let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
171 | C.CurrentProof (_,conjs,te,ty,_,_) ->
174 (fun (metasenv,ugraph) ((_,context,ty) as conj) ->
176 type_of_aux' ~logger metasenv context ty ugraph
178 (metasenv @ [conj],ugraph)
179 ) ([],CicUniv.empty_ugraph) conjs
181 let _,ugraph = type_of_aux' ~logger conjs [] ty ugraph in
182 let type_of_te,ugraph = type_of_aux' ~logger conjs [] te ugraph in
183 let b,ugraph = R.are_convertible [] type_of_te ty ugraph in
185 raise (TypeCheckerFailure (lazy (sprintf
186 "the current proof %s is not well typed because the type %s of the body is not convertible to the declared type %s"
187 (U.string_of_uri uri) (CicPp.ppterm type_of_te)
193 (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))
195 let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
196 CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
197 logger#log (`Type_checking_completed uri) ;
198 match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
199 CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
200 | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
202 match cobj,ugraph with
203 (C.Constant (_,_,ty,_,_)),g -> ty,g
204 | (C.CurrentProof (_,_,_,ty,_,_)),g -> ty,g
206 raise (TypeCheckerFailure (lazy ("Unknown constant:" ^ U.string_of_uri uri)))
208 and type_of_variable ~logger uri orig_ugraph =
209 let module C = Cic in
210 let module R = CicReduction in
211 let module U = UriManager in
212 (* 0 because a variable is never cooked => no partial cooking at one level *)
213 match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
214 | CicEnvironment.CheckedObj ((C.Variable (_,_,ty,_,_)),ugraph') -> ty,ugraph'
215 | CicEnvironment.UncheckedObj
216 (C.Variable (_,bo,ty,_,_) as uobj, unchecked_ugraph)
218 logger#log (`Start_type_checking uri) ;
219 (* only to check that ty is well-typed *)
220 let _,ugraph = type_of ~logger ty CicUniv.empty_ugraph in
221 let inferred_ugraph =
225 let ty_bo,ugraph = type_of ~logger bo ugraph in
226 let b,ugraph = R.are_convertible [] ty_bo ty ugraph in
228 raise (TypeCheckerFailure
229 (lazy ("Unknown variable:" ^ U.string_of_uri uri)))
233 let ugraph, ul, obj =
234 check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj
236 CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
237 logger#log (`Type_checking_completed uri) ;
238 (match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
239 CicEnvironment.CheckedObj((C.Variable(_,_,ty,_,_)),ugraph)->ty,ugraph
240 | CicEnvironment.CheckedObj _
241 | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError)
243 raise (TypeCheckerFailure (lazy
244 ("Unknown variable:" ^ U.string_of_uri uri)))
246 and does_not_occur ?(subst=[]) context n nn te =
247 let module C = Cic in
249 C.Rel m when m > n && m <= nn -> false
252 (match List.nth context (m-1) with
253 Some (_,C.Def (bo,_)) ->
254 does_not_occur ~subst context n nn (CicSubstitution.lift m bo)
257 Failure _ -> assert false)
259 | C.Implicit _ -> true
265 | Some x -> i && does_not_occur ~subst context n nn x) l true &&
267 let (canonical_context,term,ty) = CicUtil.lookup_subst mno subst in
268 does_not_occur ~subst context n nn (CicSubstitution.subst_meta l term)
270 CicUtil.Subst_not_found _ -> true)
272 does_not_occur ~subst context n nn te &&
273 does_not_occur ~subst context n nn ty
274 | C.Prod (name,so,dest) ->
275 does_not_occur ~subst context n nn so &&
276 does_not_occur ~subst ((Some (name,(C.Decl so)))::context) (n + 1)
278 | C.Lambda (name,so,dest) ->
279 does_not_occur ~subst context n nn so &&
280 does_not_occur ~subst ((Some (name,(C.Decl so)))::context) (n+1) (nn+1)
282 | C.LetIn (name,so,ty,dest) ->
283 does_not_occur ~subst context n nn so &&
284 does_not_occur ~subst context n nn ty &&
285 does_not_occur ~subst ((Some (name,(C.Def (so,ty))))::context)
286 (n + 1) (nn + 1) dest
288 List.for_all (does_not_occur ~subst context n nn) l
289 | C.Var (_,exp_named_subst)
290 | C.Const (_,exp_named_subst)
291 | C.MutInd (_,_,exp_named_subst)
292 | C.MutConstruct (_,_,_,exp_named_subst) ->
293 List.for_all (fun (_,x) -> does_not_occur ~subst context n nn x)
295 | C.MutCase (_,_,out,te,pl) ->
296 does_not_occur ~subst context n nn out &&
297 does_not_occur ~subst context n nn te &&
298 List.for_all (does_not_occur ~subst context n nn) pl
300 let len = List.length fl in
301 let n_plus_len = n + len in
302 let nn_plus_len = nn + len in
305 (fun (types,len) (n,_,ty,_) ->
306 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
311 (fun (_,_,ty,bo) i ->
312 i && does_not_occur ~subst context n nn ty &&
313 does_not_occur ~subst (tys @ context) n_plus_len nn_plus_len bo
316 let len = List.length fl in
317 let n_plus_len = n + len in
318 let nn_plus_len = nn + len in
321 (fun (types,len) (n,ty,_) ->
322 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
328 i && does_not_occur ~subst context n nn ty &&
329 does_not_occur ~subst (tys @ context) n_plus_len nn_plus_len bo
332 (*CSC l'indice x dei tipi induttivi e' t.c. n < x <= nn *)
333 (*CSC questa funzione e' simile alla are_all_occurrences_positive, ma fa *)
334 (*CSC dei controlli leggermente diversi. Viene invocata solamente dalla *)
335 (*CSC strictly_positive *)
336 (*CSC definizione (giusta???) tratta dalla mail di Hugo ;-) *)
337 and weakly_positive context n nn uri te =
338 let module C = Cic in
339 (*CSC: Che schifo! Bisogna capire meglio e trovare una soluzione ragionevole!*)
341 C.MutInd (HelmLibraryObjects.Datatypes.nat_URI,0,[])
343 (*CSC: mettere in cicSubstitution *)
344 let rec subst_inductive_type_with_dummy_mutind =
346 C.MutInd (uri',0,_) when UriManager.eq uri' uri ->
348 | C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri ->
350 | C.Cast (te,ty) -> subst_inductive_type_with_dummy_mutind te
351 | C.Prod (name,so,ta) ->
352 C.Prod (name, subst_inductive_type_with_dummy_mutind so,
353 subst_inductive_type_with_dummy_mutind ta)
354 | C.Lambda (name,so,ta) ->
355 C.Lambda (name, subst_inductive_type_with_dummy_mutind so,
356 subst_inductive_type_with_dummy_mutind ta)
357 | C.LetIn (name,so,ty,ta) ->
358 C.LetIn (name, subst_inductive_type_with_dummy_mutind so,
359 subst_inductive_type_with_dummy_mutind ty,
360 subst_inductive_type_with_dummy_mutind ta)
362 C.Appl (List.map subst_inductive_type_with_dummy_mutind tl)
363 | C.MutCase (uri,i,outtype,term,pl) ->
365 subst_inductive_type_with_dummy_mutind outtype,
366 subst_inductive_type_with_dummy_mutind term,
367 List.map subst_inductive_type_with_dummy_mutind pl)
369 C.Fix (i,List.map (fun (name,i,ty,bo) -> (name,i,
370 subst_inductive_type_with_dummy_mutind ty,
371 subst_inductive_type_with_dummy_mutind bo)) fl)
373 C.CoFix (i,List.map (fun (name,ty,bo) -> (name,
374 subst_inductive_type_with_dummy_mutind ty,
375 subst_inductive_type_with_dummy_mutind bo)) fl)
376 | C.Const (uri,exp_named_subst) ->
377 let exp_named_subst' =
379 (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
382 C.Const (uri,exp_named_subst')
383 | C.Var (uri,exp_named_subst) ->
384 let exp_named_subst' =
386 (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
389 C.Var (uri,exp_named_subst')
390 | C.MutInd (uri,typeno,exp_named_subst) ->
391 let exp_named_subst' =
393 (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
396 C.MutInd (uri,typeno,exp_named_subst')
397 | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
398 let exp_named_subst' =
400 (function (uri,t) -> (uri,subst_inductive_type_with_dummy_mutind t))
403 C.MutConstruct (uri,typeno,consno,exp_named_subst')
406 match CicReduction.whd context te with
408 C.Appl ((C.MutInd (uri',0,_))::tl) when UriManager.eq uri' uri -> true
410 C.Appl ((C.MutInd (uri',_,_))::tl) when UriManager.eq uri' uri -> true
411 | C.MutInd (uri',0,_) when UriManager.eq uri' uri -> true
412 | C.Prod (name,source,dest) when
413 does_not_occur ((Some (name,(C.Decl source)))::context) 0 1 dest ->
414 (* dummy abstraction, so we behave as in the anonimous case *)
415 strictly_positive context n nn
416 (subst_inductive_type_with_dummy_mutind source) &&
417 weakly_positive ((Some (name,(C.Decl source)))::context)
418 (n + 1) (nn + 1) uri dest
419 | C.Prod (name,source,dest) ->
420 does_not_occur context n nn
421 (subst_inductive_type_with_dummy_mutind source)&&
422 weakly_positive ((Some (name,(C.Decl source)))::context)
423 (n + 1) (nn + 1) uri dest
425 raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
427 (* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
428 (* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
429 and instantiate_parameters params c =
430 let module C = Cic in
431 match (c,params) with
433 | (C.Prod (_,_,ta), he::tl) ->
434 instantiate_parameters tl
435 (CicSubstitution.subst he ta)
436 | (C.Cast (te,_), _) -> instantiate_parameters params te
437 | (t,l) -> raise (AssertFailure (lazy "1"))
439 and strictly_positive context n nn te =
440 let module C = Cic in
441 let module U = UriManager in
442 match CicReduction.whd context te with
443 | t when does_not_occur context n nn t -> true
446 (*CSC: bisogna controllare ty????*)
447 strictly_positive context n nn te
448 | C.Prod (name,so,ta) ->
449 does_not_occur context n nn so &&
450 strictly_positive ((Some (name,(C.Decl so)))::context) (n+1) (nn+1) ta
451 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
452 List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
453 | C.Appl ((C.MutInd (uri,i,exp_named_subst))::_)
454 | (C.MutInd (uri,i,exp_named_subst)) as t ->
455 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
456 let (ok,paramsno,ity,cl,name) =
457 let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
459 C.InductiveDefinition (tl,_,paramsno,_) ->
460 let (name,_,ity,cl) = List.nth tl i in
461 (List.length tl = 1, paramsno, ity, cl, name)
462 (* (true, paramsno, ity, cl, name) *)
466 (lazy ("Unknown inductive type:" ^ U.string_of_uri uri)))
468 let (params,arguments) = split tl paramsno in
469 let lifted_params = List.map (CicSubstitution.lift 1) params in
473 instantiate_parameters lifted_params
474 (CicSubstitution.subst_vars exp_named_subst te)
479 (fun x i -> i && does_not_occur context n nn x)
485 ((Some (C.Name name,(Cic.Decl ity)))::context) (n+1) (nn+1) uri
490 (* the inductive type indexes are s.t. n < x <= nn *)
491 and are_all_occurrences_positive context uri indparamsno i n nn te =
492 let module C = Cic in
493 match CicReduction.whd context te with
494 C.Appl ((C.Rel m)::tl) when m = i ->
495 (*CSC: riscrivere fermandosi a 0 *)
496 (* let's check if the inductive type is applied at least to *)
497 (* indparamsno parameters *)
503 match CicReduction.whd context x with
504 C.Rel m when m = n - (indparamsno - k) -> k - 1
506 raise (TypeCheckerFailure
508 ("Non-positive occurence in mutual inductive definition(s) [1]" ^
509 UriManager.string_of_uri uri)))
513 List.fold_right (fun x i -> i && does_not_occur context n nn x) tl true
515 raise (TypeCheckerFailure
516 (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
517 UriManager.string_of_uri uri)))
518 | C.Rel m when m = i ->
519 if indparamsno = 0 then
522 raise (TypeCheckerFailure
523 (lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
524 UriManager.string_of_uri uri)))
525 | C.Prod (name,source,dest) when
526 does_not_occur ((Some (name,(C.Decl source)))::context) 0 1 dest ->
527 (* dummy abstraction, so we behave as in the anonimous case *)
528 strictly_positive context n nn source &&
529 are_all_occurrences_positive
530 ((Some (name,(C.Decl source)))::context) uri indparamsno
531 (i+1) (n + 1) (nn + 1) dest
532 | C.Prod (name,source,dest) ->
533 does_not_occur context n nn source &&
534 are_all_occurrences_positive ((Some (name,(C.Decl source)))::context)
535 uri indparamsno (i+1) (n + 1) (nn + 1) dest
538 (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
539 (UriManager.string_of_uri uri))))
541 (* Main function to checks the correctness of a mutual *)
542 (* inductive block definition. This is the function *)
543 (* exported to the proof-engine. *)
544 and typecheck_mutual_inductive_defs ~logger uri (itl,_,indparamsno) ugraph =
545 let module U = UriManager in
546 (* let's check if the arity of the inductive types are well *)
548 let ugrap1 = List.fold_left
549 (fun ugraph (_,_,x,_) -> let _,ugraph' =
550 type_of ~logger x ugraph in ugraph')
553 (* let's check if the types of the inductive constructors *)
554 (* are well formed. *)
555 (* In order not to use type_of_aux we put the types of the *)
556 (* mutual inductive types at the head of the types of the *)
557 (* constructors using Prods *)
558 let len = List.length itl in
560 List.rev_map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl in
563 (fun (_,_,ty,cl) (i,ugraph) ->
564 let _,ty_sort = split_prods ~subst:[] [] ~-1 ty in
567 (fun ugraph (name,te) ->
568 let te = debrujin_constructor uri len [] te in
569 let context,te = split_prods ~subst:[] tys indparamsno te in
570 let con_sort,ugraph = type_of_aux' ~logger [] context te ugraph in
573 CicReduction.whd context con_sort, CicReduction.whd [] ty_sort
575 Cic.Sort (Cic.Type u1), Cic.Sort (Cic.Type u2)
576 | Cic.Sort (Cic.CProp u1), Cic.Sort (Cic.CProp u2)
577 | Cic.Sort (Cic.Type u1), Cic.Sort (Cic.CProp u2) ->
578 CicUniv.add_ge u2 u1 ugraph
579 | Cic.Sort (Cic.CProp u1), Cic.Sort (Cic.Type u2) ->
580 CicUniv.add_gt u2 u1 ugraph
581 | Cic.Sort _, Cic.Sort Cic.Prop
582 | Cic.Sort _, Cic.Sort Cic.CProp _
583 | Cic.Sort _, Cic.Sort Cic.Set
584 | Cic.Sort _, Cic.Sort Cic.Type _ -> ugraph
588 (lazy ("Wrong constructor or inductive arity shape: "^
589 CicPp.ppterm a ^ " --- " ^ CicPp.ppterm b))) in
590 (* let's check also the positivity conditions *)
593 (are_all_occurrences_positive context uri indparamsno
594 (i+indparamsno) indparamsno (len+indparamsno) te)
597 prerr_endline (UriManager.string_of_uri uri);
598 prerr_endline (string_of_int (List.length tys));
601 (lazy ("Non positive occurence in " ^ U.string_of_uri uri))) end
610 (* Main function to checks the correctness of a mutual *)
611 (* inductive block definition. *)
612 and check_mutual_inductive_defs uri obj ugraph =
614 Cic.InductiveDefinition (itl, params, indparamsno, _) ->
615 typecheck_mutual_inductive_defs uri (itl,params,indparamsno) ugraph
617 raise (TypeCheckerFailure (
618 lazy ("Unknown mutual inductive definition:" ^
619 UriManager.string_of_uri uri)))
621 and type_of_mutual_inductive_defs ~logger uri i orig_ugraph =
622 let module C = Cic in
623 let module R = CicReduction in
624 let module U = UriManager in
626 match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
627 CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
628 | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
629 logger#log (`Start_type_checking uri) ;
630 let inferred_ugraph =
631 check_mutual_inductive_defs ~logger uri uobj CicUniv.empty_ugraph
633 let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
634 CicEnvironment.set_type_checking_info uri (obj,ugraph,ul);
635 logger#log (`Type_checking_completed uri) ;
636 (match CicEnvironment.is_type_checked ~trust:false orig_ugraph uri with
637 CicEnvironment.CheckedObj (cobj,ugraph') -> (cobj,ugraph')
638 | CicEnvironment.UncheckedObj _ -> raise CicEnvironmentError
642 | C.InductiveDefinition (dl,_,_,_) ->
643 let (_,_,arity,_) = List.nth dl i in
646 raise (TypeCheckerFailure
647 (lazy ("Unknown mutual inductive definition:" ^ U.string_of_uri uri)))
649 and type_of_mutual_inductive_constr ~logger uri i j orig_ugraph =
650 let module C = Cic in
651 let module R = CicReduction in
652 let module U = UriManager in
654 match CicEnvironment.is_type_checked ~trust:true orig_ugraph uri with
655 CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
656 | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
657 logger#log (`Start_type_checking uri) ;
658 let inferred_ugraph =
659 check_mutual_inductive_defs ~logger uri uobj CicUniv.empty_ugraph
661 let ugraph, ul, obj = check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri uobj in
662 CicEnvironment.set_type_checking_info uri (obj, ugraph, ul);
663 logger#log (`Type_checking_completed uri) ;
665 CicEnvironment.is_type_checked ~trust:false orig_ugraph uri
667 CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
668 | CicEnvironment.UncheckedObj _ ->
669 raise CicEnvironmentError)
672 C.InductiveDefinition (dl,_,_,_) ->
673 let (_,_,_,cl) = List.nth dl i in
674 let (_,ty) = List.nth cl (j-1) in
677 raise (TypeCheckerFailure
678 (lazy ("Unknown mutual inductive definition:" ^ UriManager.string_of_uri uri)))
680 and recursive_args context n nn te =
681 let module C = Cic in
682 match CicReduction.whd context te with
689 | C.Cast _ (*CSC ??? *) ->
690 raise (AssertFailure (lazy "3")) (* due to type-checking *)
691 | C.Prod (name,so,de) ->
692 (not (does_not_occur context n nn so)) ::
693 (recursive_args ((Some (name,(C.Decl so)))::context) (n+1) (nn + 1) de)
696 raise (AssertFailure (lazy "4")) (* due to type-checking *)
698 | C.Const _ -> raise (AssertFailure (lazy "5"))
702 | C.CoFix _ -> raise (AssertFailure (lazy "6")) (* due to type-checking *)
704 and get_new_safes ~subst context p rl safes n nn x =
705 let module C = Cic in
706 let module U = UriManager in
707 let module R = CicReduction in
708 match R.whd ~subst context p, rl with
709 | C.Lambda (name,so,ta), b::tl ->
710 let safes = List.map (fun x -> x + 1) safes in
711 let safes = if b then 1::safes else safes in
712 get_new_safes ~subst ((Some (name,(C.Decl so)))::context)
713 ta tl safes (n+1) (nn+1) (x+1)
714 | C.MutConstruct _ as e, _
716 | e, [] -> (e,safes,n,nn,x,context)
720 (Printf.sprintf "Get New Safes: p=%s" (CicPp.ppterm p))))
722 and split_prods ~subst context n te =
723 let module C = Cic in
724 let module R = CicReduction in
725 match (n, R.whd ~subst context te) with
727 | (n, C.Sort _) when n <= 0 -> context,te
728 | (n, C.Prod (name,so,ta)) ->
729 split_prods ~subst ((Some (name,(C.Decl so)))::context) (n - 1) ta
730 | (_, _) -> raise (AssertFailure (lazy "8"))
732 and eat_lambdas ~subst context n te =
733 let module C = Cic in
734 let module R = CicReduction in
735 match (n, R.whd ~subst context te) with
736 (0, _) -> (te, 0, context)
737 | (n, C.Lambda (name,so,ta)) when n > 0 ->
738 let (te, k, context') =
739 eat_lambdas ~subst ((Some (name,(C.Decl so)))::context) (n - 1) ta
741 (te, k + 1, context')
743 raise (AssertFailure (lazy (sprintf "9 (%d, %s)" n (CicPp.ppterm te))))
745 and specialize_inductive_type ~logger ~subst ~metasenv context t =
746 let ty,_= type_of_aux' ~logger ~subst metasenv context t CicUniv.oblivion_ugraph in
747 match CicReduction.whd ~subst context ty with
748 | Cic.MutInd (uri,_,exp)
749 | Cic.Appl (Cic.MutInd (uri,_,exp) :: _) as ty ->
750 let args = match ty with Cic.Appl (_::tl) -> tl | _ -> [] in
751 let o,_ = CicEnvironment.get_obj CicUniv.oblivion_ugraph uri in
753 | Cic.InductiveDefinition (tl,_,paramsno,_) ->
754 let left_args,_ = HExtlib.split_nth paramsno args in
755 List.map (fun (name, isind, arity, cl) ->
756 let arity = CicSubstitution.subst_vars exp arity in
757 let arity = instantiate_parameters left_args arity in
761 let ty = CicSubstitution.subst_vars exp ty in
762 id, instantiate_parameters left_args ty)
765 name, isind, arity, cl)
770 and check_is_really_smaller_arg
771 ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes te
773 let module C = Cic in
774 let module U = UriManager in
775 (*CSC: we could perform beta-iota(-zeta?) immediately, and
776 delta only on-demand when it fails without *)
777 match CicReduction.whd ~subst context te with
778 C.Rel m when List.mem m safes -> true
784 check_is_really_smaller_arg rec_uri rec_uri_len
785 ~logger ~metasenv ~subst context n nn kl x safes he
786 | C.Lambda (name,ty,ta) ->
787 check_is_really_smaller_arg rec_uri rec_uri_len
788 ~logger ~metasenv ~subst (Some (name,Cic.Decl ty)::context)
789 (n+1) (nn+1) kl (x+1) (List.map (fun n -> n+1) safes) ta
790 | C.MutCase (uri,i,outtype,term,pl) ->
792 | C.Rel m | C.Appl ((C.Rel m)::_) when List.mem m safes || m = x ->
794 specialize_inductive_type ~logger ~subst ~metasenv context term
798 (fun (types,len) (n,_,ty,_) ->
799 Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
803 let _,isinductive,_,cl = List.nth tys i in
804 if not isinductive then
806 (check_is_really_smaller_arg rec_uri rec_uri_len
807 ~logger ~metasenv ~subst context n nn kl x safes)
814 debrujin_constructor ~check_exp_named_subst:false
815 rec_uri rec_uri_len context c in
816 let len_ctx = List.length context in
817 recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
819 let (e, safes',n',nn',x',context') =
820 get_new_safes ~subst context p rec_params safes n nn x
822 check_is_really_smaller_arg rec_uri rec_uri_len
823 ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
827 (check_is_really_smaller_arg
828 rec_uri rec_uri_len ~logger ~metasenv ~subst
829 context n nn kl x safes) pl
832 let len = List.length fl in
833 let n_plus_len = n + len
834 and nn_plus_len = nn + len
835 and x_plus_len = x + len
838 (fun (types,len) (n,_,ty,_) ->
839 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
842 and safes' = List.map (fun x -> x + len) safes in
845 check_is_really_smaller_arg
846 rec_uri rec_uri_len ~logger ~metasenv ~subst
847 (tys@context) n_plus_len nn_plus_len kl
851 raise (AssertFailure (lazy ("An inhabitant of an inductive type in normal form cannot have this shape: " ^ CicPp.ppterm t)))
853 and guarded_by_destructors
854 ~logger ~metasenv ~subst rec_uri rec_uri_len context n nn kl x safes t
856 let module C = Cic in
857 let module U = UriManager in
858 let t = CicReduction.whd ~delta:false ~subst context t in
861 C.Rel m when m > n && m <= nn -> false
863 (match List.nth context (m-1) with
864 Some (_,C.Decl _) -> true
865 | Some (_,C.Def (bo,_)) ->
866 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
867 (CicSubstitution.lift m bo)
868 | None -> raise (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
872 | C.Implicit _ -> true
874 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes te &&
875 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty
876 | C.Prod (name,so,ta) ->
877 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
878 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((Some (name,(C.Decl so)))::context)
879 (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
880 | C.Lambda (name,so,ta) ->
881 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
882 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((Some (name,(C.Decl so)))::context)
883 (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
884 | C.LetIn (name,so,ty,ta) ->
885 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes so &&
886 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes ty &&
887 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst ((Some (name,(C.Def (so,ty))))::context)
888 (n+1) (nn+1) kl (x+1) (List.map (fun x -> x + 1) safes) ta
889 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
890 let k = List.nth kl (m - n - 1) in
891 if not (List.length tl > k) then false
894 (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) tl &&
895 check_is_really_smaller_arg
897 ~logger ~metasenv ~subst context n nn kl x safes (List.nth tl k)
898 | C.Var (_,exp_named_subst)
899 | C.Const (_,exp_named_subst)
900 | C.MutInd (_,_,exp_named_subst)
901 | C.MutConstruct (_,_,_,exp_named_subst) ->
903 (fun (_,t) -> guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
905 | C.MutCase (uri,i,outtype,term,pl) ->
906 (match CicReduction.whd ~subst context term with
908 | C.Appl ((C.Rel m)::_) as t when List.mem m safes || m = x ->
909 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
911 (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
914 specialize_inductive_type ~logger ~subst ~metasenv context t
918 (fun (types,len) (n,_,ty,_) ->
919 Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
923 let _,isinductive,_,cl = List.nth tys i in
924 if not isinductive then
925 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
926 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes term &&
928 (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes)
931 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
936 debrujin_constructor ~check_exp_named_subst:false
937 rec_uri rec_uri_len context c in
938 let len_ctx = List.length context in
939 recursive_args (context@tys_ctx) len_ctx (len_ctx+rec_uri_len) c
941 let (e, safes',n',nn',x',context') =
942 get_new_safes ~subst context p rec_params safes n nn x
944 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context' n' nn' kl x' safes' e
947 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes outtype &&
948 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes term &&
949 (*CSC: manca ??? il controllo sul tipo di term? *)
951 (fun p i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes p)
954 | C.Appl (C.Fix (fixno, fl)::_) | C.Fix (fixno,fl) as t->
955 let l = match t with C.Appl (_::tl) -> tl | _ -> [] in
956 let len = List.length fl in
957 let n_plus_len = n + len in
958 let nn_plus_len = nn + len in
959 let x_plus_len = x + len in
962 (fun (types,len) (n,_,ty,_) ->
963 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
966 let safes' = List.map (fun x -> x + len) safes in
968 (guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes) l &&
970 (fun (fixno',i) (_,recno,ty,bo) ->
973 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
976 List.length l > recno &&
977 (*case where the recursive argument is already really_smaller *)
978 check_is_really_smaller_arg
979 rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes
982 let bo_without_lambdas,_,context =
983 eat_lambdas ~subst (tys@context) (recno+1) bo
985 (* we assume the formal argument to be safe *)
986 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context (n_plus_len+recno+1)
987 (nn_plus_len+recno+1) kl (x_plus_len+recno+1)
988 (1::List.map (fun x -> x+recno+1) safes')
991 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len
992 kl x_plus_len safes' bo
995 let len = List.length fl in
996 let n_plus_len = n + len
997 and nn_plus_len = nn + len
998 and x_plus_len = x + len
1001 (fun (types,len) (n,ty,_) ->
1002 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
1005 and safes' = List.map (fun x -> x + len) safes in
1009 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x_plus_len safes' ty &&
1010 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst (tys@context) n_plus_len nn_plus_len kl
1011 x_plus_len safes' bo
1015 (fun t i -> i && guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t)
1020 let t' = CicReduction.whd ~subst context t in
1024 guarded_by_destructors rec_uri rec_uri_len ~logger ~metasenv ~subst context n nn kl x safes t'
1026 (* the boolean h means already protected *)
1027 (* args is the list of arguments the type of the constructor that may be *)
1028 (* found in head position must be applied to. *)
1029 and guarded_by_constructors ~logger ~subst ~metasenv indURI =
1030 let module C = Cic in
1031 let rec aux context n nn h te =
1032 match CicReduction.whd ~subst context te with
1033 | C.Rel m when m > n && m <= nn -> h
1041 | C.LetIn _ -> raise (AssertFailure (lazy "17"))
1042 | C.Lambda (name,so,de) ->
1043 does_not_occur ~subst context n nn so &&
1044 aux ((Some (name,(C.Decl so)))::context) (n + 1) (nn + 1) h de
1045 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
1046 h && List.for_all (does_not_occur ~subst context n nn) tl
1047 | C.MutConstruct (_,_,_,exp_named_subst) ->
1049 (fun (_,x) -> does_not_occur ~subst context n nn x) exp_named_subst
1050 | C.Appl ((C.MutConstruct (uri,i,j,exp_named_subst))::tl) as t ->
1052 (fun (_,x) -> does_not_occur ~subst context n nn x) exp_named_subst &&
1053 let consty, len_tys, tys_ctx, paramsno =
1055 specialize_inductive_type ~logger ~subst ~metasenv context t in
1056 let _,_,_,cl = List.nth tys i in
1057 let _,ty = List.nth cl (j-1) in
1058 ty, List.length tys,
1060 (fun (types,len) (n,_,ty,_) ->
1061 Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types, len+1)
1062 ([],0) tys), paramsno
1066 debrujin_constructor ~check_exp_named_subst:false
1067 indURI len_tys context consty
1069 let len_ctx = List.length context in
1070 recursive_args (context@tys_ctx) len_ctx (len_ctx+len_tys) c
1072 let rec analyse_instantiated_type rec_spec args =
1073 match rec_spec, args with
1074 | h::rec_spec, he::args ->
1075 aux context n nn h he &&
1076 analyse_instantiated_type rec_spec args
1078 | _ -> raise (AssertFailure (lazy
1079 ("Too many args for constructor: " ^ String.concat " "
1080 (List.map (fun x-> CicPp.ppterm x) args))))
1082 let left, args = HExtlib.split_nth paramsno tl in
1083 List.for_all (does_not_occur ~subst context n nn) left &&
1084 analyse_instantiated_type rec_params args
1085 | C.Appl ((C.MutCase (_,_,out,te,pl))::_)
1086 | C.MutCase (_,_,out,te,pl) as t ->
1087 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
1088 List.for_all (does_not_occur ~subst context n nn) tl &&
1089 does_not_occur ~subst context n nn out &&
1090 does_not_occur ~subst context n nn te &&
1091 List.for_all (aux context n nn h ) pl
1093 | C.Appl (C.Fix (_,fl)::_) as t ->
1094 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
1095 let len = List.length fl in
1096 let n_plus_len = n + len
1097 and nn_plus_len = nn + len
1100 (fun (types,len) (n,_,ty,_) ->
1101 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
1105 List.for_all (does_not_occur ~subst context n nn) tl &&
1108 does_not_occur ~subst context n nn ty &&
1109 aux (tys@context) n_plus_len nn_plus_len h bo)
1111 | C.Appl ((C.CoFix (_,fl))::_)
1112 | C.CoFix (_,fl) as t ->
1113 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
1114 let len = List.length fl in
1115 let n_plus_len = n + len
1116 and nn_plus_len = nn + len
1119 (fun (types,len) (n,ty,_) ->
1120 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
1124 List.for_all (does_not_occur ~subst context n nn) tl &&
1127 does_not_occur ~subst context n nn ty &&
1128 aux (tys@context) n_plus_len nn_plus_len h bo)
1132 | C.Appl _ as t -> does_not_occur ~subst context n nn t
1136 and check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
1137 need_dummy ind arity1 arity2 ugraph =
1138 let module C = Cic in
1139 let module U = UriManager in
1140 let arity1 = CicReduction.whd ~subst context arity1 in
1141 let rec check_allowed_sort_elimination_aux ugraph context arity2 need_dummy =
1142 match arity1, CicReduction.whd ~subst context arity2 with
1143 (C.Prod (name,so1,de1), C.Prod (_,so2,de2)) ->
1145 CicReduction.are_convertible ~subst ~metasenv context so1 so2 ugraph in
1147 check_allowed_sort_elimination ~subst ~metasenv ~logger
1148 ((Some (name,C.Decl so1))::context) uri i
1149 need_dummy (C.Appl [CicSubstitution.lift 1 ind ; C.Rel 1]) de1 de2
1153 | (C.Sort _, C.Prod (name,so,ta)) when not need_dummy ->
1155 CicReduction.are_convertible ~subst ~metasenv context so ind ugraph in
1159 check_allowed_sort_elimination_aux ugraph1
1160 ((Some (name,C.Decl so))::context) ta true
1161 | (C.Sort C.Prop, C.Sort C.Prop) when need_dummy -> true,ugraph
1162 | (C.Sort C.Prop, C.Sort C.Set)
1163 | (C.Sort C.Prop, C.Sort (C.CProp _))
1164 | (C.Sort C.Prop, C.Sort (C.Type _) ) when need_dummy ->
1165 (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
1167 C.InductiveDefinition (itl,_,paramsno,_) ->
1168 let itl_len = List.length itl in
1169 let (name,_,ty,cl) = List.nth itl i in
1170 let cl_len = List.length cl in
1171 if (cl_len = 0 || (itl_len = 1 && cl_len = 1)) then
1172 let non_informative,ugraph =
1173 if cl_len = 0 then true,ugraph
1175 is_non_informative ~logger [Some (C.Name name,C.Decl ty)]
1176 paramsno (snd (List.nth cl 0)) ugraph
1178 (* is it a singleton or empty non recursive and non informative
1180 non_informative, ugraph
1184 raise (TypeCheckerFailure
1185 (lazy ("Unknown mutual inductive definition:" ^
1186 UriManager.string_of_uri uri)))
1188 | (C.Sort C.Set, C.Sort C.Prop) when need_dummy -> true , ugraph
1189 | (C.Sort C.Set, C.Sort C.Set) when need_dummy -> true , ugraph
1190 | (C.Sort C.Set, C.Sort (C.Type _))
1191 | (C.Sort C.Set, C.Sort (C.CProp _))
1193 (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
1195 C.InductiveDefinition (itl,_,paramsno,_) ->
1197 List.map (fun (n,_,ty,_) -> Some (Cic.Name n,(Cic.Decl ty))) itl
1199 let (_,_,_,cl) = List.nth itl i in
1201 (fun (_,x) (i,ugraph) ->
1203 is_small ~logger tys paramsno x ugraph
1208 raise (TypeCheckerFailure
1209 (lazy ("Unknown mutual inductive definition:" ^
1210 UriManager.string_of_uri uri)))
1212 | (C.Sort (C.Type _), C.Sort _) when need_dummy -> true , ugraph
1213 | (C.Sort (C.CProp _), C.Sort _) when need_dummy -> true , ugraph
1214 | (_,_) -> false,ugraph
1216 check_allowed_sort_elimination_aux ugraph context arity2 need_dummy
1218 and type_of_branch ~subst context argsno need_dummy outtype term constype =
1219 let module C = Cic in
1220 let module R = CicReduction in
1221 match R.whd ~subst context constype with
1226 C.Appl [outtype ; term]
1227 | C.Appl (C.MutInd (_,_,_)::tl) ->
1228 let (_,arguments) = split tl argsno
1230 if need_dummy && arguments = [] then
1233 C.Appl (outtype::arguments@(if need_dummy then [] else [term]))
1234 | C.Prod (name,so,de) ->
1236 match CicSubstitution.lift 1 term with
1237 C.Appl l -> C.Appl (l@[C.Rel 1])
1238 | t -> C.Appl [t ; C.Rel 1]
1240 C.Prod (name,so,type_of_branch ~subst
1241 ((Some (name,(C.Decl so)))::context) argsno need_dummy
1242 (CicSubstitution.lift 1 outtype) term' de)
1243 | _ -> raise (AssertFailure (lazy "20"))
1245 (* check_metasenv_consistency checks that the "canonical" context of a
1246 metavariable is consitent - up to relocation via the relocation list l -
1247 with the actual context *)
1250 and check_metasenv_consistency ~logger ~subst metasenv context
1251 canonical_context l ugraph
1253 let module C = Cic in
1254 let module R = CicReduction in
1255 let module S = CicSubstitution in
1256 let lifted_canonical_context =
1260 | (Some (n,C.Decl t))::tl ->
1261 (Some (n,C.Decl (S.subst_meta l (S.lift i t))))::(aux (i+1) tl)
1262 | None::tl -> None::(aux (i+1) tl)
1263 | (Some (n,C.Def (t,ty)))::tl ->
1264 (Some (n,C.Def ((S.subst_meta l (S.lift i t)),S.subst_meta l (S.lift i ty))))::(aux (i+1) tl)
1266 aux 1 canonical_context
1272 | Some t,Some (_,C.Def (ct,_)) ->
1273 (*CSC: the following optimization is to avoid a possibly expensive
1274 reduction that can be easily avoided and that is quite
1275 frequent. However, this is better handled using levels to
1276 control reduction *)
1281 match List.nth context (n - 1) with
1282 Some (_,C.Def (te,_)) -> S.lift n te
1288 (*if t <> optimized_t && optimized_t = ct then prerr_endline "!!!!!!!!!!!!!!!"
1289 else if t <> optimized_t then prerr_endline ("@@ " ^ CicPp.ppterm t ^ " ==> " ^ CicPp.ppterm optimized_t ^ " <==> " ^ CicPp.ppterm ct);*)
1291 R.are_convertible ~subst ~metasenv context optimized_t ct ugraph
1296 (lazy (sprintf "Not well typed metavariable local context: expected a term convertible with %s, found %s" (CicPp.ppterm ct) (CicPp.ppterm t))))
1299 | Some t,Some (_,C.Decl ct) ->
1300 let type_t,ugraph1 =
1301 type_of_aux' ~logger ~subst metasenv context t ugraph
1304 R.are_convertible ~subst ~metasenv context type_t ct ugraph1
1307 raise (TypeCheckerFailure
1308 (lazy (sprintf "Not well typed metavariable local context: expected a term of type %s, found %s of type %s"
1309 (CicPp.ppterm ct) (CicPp.ppterm t)
1310 (CicPp.ppterm type_t))))
1314 raise (TypeCheckerFailure
1315 (lazy ("Not well typed metavariable local context: "^
1316 "an hypothesis, that is not hidden, is not instantiated")))
1317 ) ugraph l lifted_canonical_context
1321 type_of_aux' is just another name (with a different scope)
1325 and type_of_aux' ~logger ?(subst = []) metasenv context t ugraph =
1326 let rec type_of_aux ~logger context t ugraph =
1327 let module C = Cic in
1328 let module R = CicReduction in
1329 let module S = CicSubstitution in
1330 let module U = UriManager in
1334 match List.nth context (n - 1) with
1335 Some (_,C.Decl t) -> S.lift n t,ugraph
1336 | Some (_,C.Def (_,ty)) -> S.lift n ty,ugraph
1338 (TypeCheckerFailure (lazy "Reference to deleted hypothesis"))
1341 raise (TypeCheckerFailure (lazy "unbound variable"))
1343 | C.Var (uri,exp_named_subst) ->
1346 check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
1348 let ty,ugraph2 = type_of_variable ~logger uri ugraph1 in
1349 let ty1 = CicSubstitution.subst_vars exp_named_subst ty in
1354 let (canonical_context,term,ty) = CicUtil.lookup_subst n subst in
1356 check_metasenv_consistency ~logger
1357 ~subst metasenv context canonical_context l ugraph
1359 (* assuming subst is well typed !!!!! *)
1360 ((CicSubstitution.subst_meta l ty), ugraph1)
1361 (* type_of_aux context (CicSubstitution.subst_meta l term) *)
1362 with CicUtil.Subst_not_found _ ->
1363 let (_,canonical_context,ty) = CicUtil.lookup_meta n metasenv in
1365 check_metasenv_consistency ~logger
1366 ~subst metasenv context canonical_context l ugraph
1368 ((CicSubstitution.subst_meta l ty),ugraph1))
1369 (* TASSI: CONSTRAINTS *)
1370 | C.Sort (C.CProp t) ->
1371 let t' = CicUniv.fresh() in
1373 let ugraph1 = CicUniv.add_gt t' t ugraph in
1374 (C.Sort (C.Type t')),ugraph1
1376 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1377 | C.Sort (C.Type t) ->
1378 let t' = CicUniv.fresh() in
1380 let ugraph1 = CicUniv.add_gt t' t ugraph in
1381 (C.Sort (C.Type t')),ugraph1
1383 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1384 | C.Sort (C.Prop|C.Set) -> (C.Sort (C.Type (CicUniv.fresh ()))),ugraph
1385 | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
1386 | C.Cast (te,ty) as t ->
1387 let _,ugraph1 = type_of_aux ~logger context ty ugraph in
1388 let ty_te,ugraph2 = type_of_aux ~logger context te ugraph1 in
1390 R.are_convertible ~subst ~metasenv context ty_te ty ugraph2
1395 raise (TypeCheckerFailure
1396 (lazy (sprintf "Invalid cast %s" (CicPp.ppterm t))))
1397 | C.Prod (name,s,t) ->
1398 let sort1,ugraph1 = type_of_aux ~logger context s ugraph in
1400 type_of_aux ~logger ((Some (name,(C.Decl s)))::context) t ugraph1
1402 sort_of_prod ~subst context (name,s) (sort1,sort2) ugraph2
1403 | C.Lambda (n,s,t) ->
1404 let sort1,ugraph1 = type_of_aux ~logger context s ugraph in
1405 (match R.whd ~subst context sort1 with
1410 (TypeCheckerFailure (lazy (sprintf
1411 "Not well-typed lambda-abstraction: the source %s should be a type; instead it is a term of type %s" (CicPp.ppterm s)
1412 (CicPp.ppterm sort1))))
1415 type_of_aux ~logger ((Some (n,(C.Decl s)))::context) t ugraph1
1417 (C.Prod (n,s,type2)),ugraph2
1418 | C.LetIn (n,s,ty,t) ->
1419 (* only to check if s is well-typed *)
1420 let ty',ugraph1 = type_of_aux ~logger context s ugraph in
1421 let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in
1423 R.are_convertible ~subst ~metasenv context ty ty' ugraph1
1429 "The type of %s is %s but it is expected to be %s"
1430 (CicPp.ppterm s) (CicPp.ppterm ty') (CicPp.ppterm ty))))
1432 (* The type of a LetIn is a LetIn. Extremely slow since the computed
1433 LetIn is later reduced and maybe also re-checked.
1434 (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t))
1436 (* The type of the LetIn is reduced. Much faster than the previous
1437 solution. Moreover the inferred type is probably very different
1438 from the expected one.
1439 (CicReduction.whd ~subst context
1440 (C.LetIn (n,s, type_of_aux ((Some (n,(C.Def s)))::context) t)))
1442 (* One-step LetIn reduction. Even faster than the previous solution.
1443 Moreover the inferred type is closer to the expected one. *)
1446 ((Some (n,(C.Def (s,ty))))::context) t ugraph1
1448 (CicSubstitution.subst ~avoid_beta_redexes:true s ty1),ugraph2
1449 | C.Appl (he::tl) when List.length tl > 0 ->
1450 let hetype,ugraph1 = type_of_aux ~logger context he ugraph in
1451 let tlbody_and_type,ugraph2 =
1454 let ty,ugraph1 = type_of_aux ~logger context x ugraph in
1455 (*let _,ugraph1 = type_of_aux ~logger context ty ugraph1 in*)
1456 ((x,ty)::l,ugraph1))
1459 (* TASSI: questa c'era nel mio... ma non nel CVS... *)
1460 (* let _,ugraph2 = type_of_aux context hetype ugraph2 in *)
1461 eat_prods ~subst context hetype tlbody_and_type ugraph2
1462 | C.Appl _ -> raise (AssertFailure (lazy "Appl: no arguments"))
1463 | C.Const (uri,exp_named_subst) ->
1466 check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
1468 let cty,ugraph2 = type_of_constant ~logger uri ugraph1 in
1470 CicSubstitution.subst_vars exp_named_subst cty
1474 | C.MutInd (uri,i,exp_named_subst) ->
1477 check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
1479 let mty,ugraph2 = type_of_mutual_inductive_defs ~logger uri i ugraph1 in
1481 CicSubstitution.subst_vars exp_named_subst mty
1485 | C.MutConstruct (uri,i,j,exp_named_subst) ->
1487 check_exp_named_subst uri ~logger ~subst context exp_named_subst ugraph
1490 type_of_mutual_inductive_constr ~logger uri i j ugraph1
1493 CicSubstitution.subst_vars exp_named_subst mty
1496 | C.MutCase (uri,i,outtype,term,pl) ->
1497 let outsort,ugraph1 = type_of_aux ~logger context outtype ugraph in
1498 let (need_dummy, k) =
1499 let rec guess_args context t =
1500 let outtype = CicReduction.whd ~subst context t in
1502 C.Sort _ -> (true, 0)
1503 | C.Prod (name, s, t) ->
1505 guess_args ((Some (name,(C.Decl s)))::context) t in
1507 (* last prod before sort *)
1508 match CicReduction.whd ~subst context s with
1509 (*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
1510 C.MutInd (uri',i',_) when U.eq uri' uri && i' = i ->
1512 (*CSC: for _ see comment below about the missing named_exp_subst ?????????? *)
1513 | C.Appl ((C.MutInd (uri',i',_)) :: _)
1514 when U.eq uri' uri && i' = i -> (false, 1)
1522 "Malformed case analasys' output type %s"
1523 (CicPp.ppterm outtype))))
1526 let (parameters, arguments, exp_named_subst),ugraph2 =
1527 let ty,ugraph2 = type_of_aux context term ugraph1 in
1528 match R.whd ~subst context ty with
1529 (*CSC manca il caso dei CAST *)
1530 (*CSC: ma servono i parametri (uri,i)? Se si', perche' non serve anche il *)
1531 (*CSC: parametro exp_named_subst? Se no, perche' non li togliamo? *)
1532 (*CSC: Hint: nella DTD servono per gli stylesheet. *)
1533 C.MutInd (uri',i',exp_named_subst) as typ ->
1534 if U.eq uri uri' && i = i' then
1535 ([],[],exp_named_subst),ugraph2
1540 ("Case analysys: analysed term type is %s, but is expected to be (an application of) %s#1/%d{_}")
1541 (CicPp.ppterm typ) (U.string_of_uri uri) i)))
1543 ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) as typ' ->
1544 if U.eq uri uri' && i = i' then
1546 split tl (List.length tl - k)
1547 in (params,args,exp_named_subst),ugraph2
1552 ("Case analysys: analysed term type is %s, "^
1553 "but is expected to be (an application of) "^
1555 (CicPp.ppterm typ') (U.string_of_uri uri) i)))
1561 "analysed term %s is not an inductive one")
1562 (CicPp.ppterm term))))
1564 let (b, k) = guess_args context outsort in
1565 if not b then (b, k - 1) else (b, k) in
1566 let (parameters, arguments, exp_named_subst),ugraph2 =
1567 let ty,ugraph2 = type_of_aux ~logger context term ugraph1 in
1568 match R.whd ~subst context ty with
1569 C.MutInd (uri',i',exp_named_subst) as typ ->
1570 if U.eq uri uri' && i = i' then
1571 ([],[],exp_named_subst),ugraph2
1575 ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
1576 (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
1577 | C.Appl ((C.MutInd (uri',i',exp_named_subst) as typ):: tl) ->
1578 if U.eq uri uri' && i = i' then
1580 split tl (List.length tl - k)
1581 in (params,args,exp_named_subst),ugraph2
1585 ("Case analysys: analysed term type is %s (%s#1/%d{_}), but is expected to be (an application of) %s#1/%d{_}")
1586 (CicPp.ppterm typ) (U.string_of_uri uri') i' (U.string_of_uri uri) i)))
1591 "Case analysis: analysed term %s is not an inductive one"
1592 (CicPp.ppterm term))))
1595 let's control if the sort elimination is allowed:
1598 let sort_of_ind_type =
1599 if parameters = [] then
1600 C.MutInd (uri,i,exp_named_subst)
1602 C.Appl ((C.MutInd (uri,i,exp_named_subst))::parameters)
1604 let type_of_sort_of_ind_ty,ugraph3 =
1605 type_of_aux ~logger context sort_of_ind_type ugraph2 in
1607 check_allowed_sort_elimination ~subst ~metasenv ~logger context uri i
1608 need_dummy sort_of_ind_type type_of_sort_of_ind_ty outsort ugraph3
1612 (TypeCheckerFailure (lazy ("Case analysis: sort elimination not allowed")));
1613 (* let's check if the type of branches are right *)
1614 let parsno,constructorsno =
1617 CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
1618 with Not_found -> assert false
1621 C.InductiveDefinition (il,_,parsno,_) ->
1623 try List.nth il i with Failure _ -> assert false
1625 parsno, List.length cl
1627 raise (TypeCheckerFailure
1628 (lazy ("Unknown mutual inductive definition:" ^
1629 UriManager.string_of_uri uri)))
1631 if List.length pl <> constructorsno then
1632 raise (TypeCheckerFailure
1633 (lazy ("Wrong number of cases in case analysis"))) ;
1634 let (_,branches_ok,ugraph5) =
1636 (fun (j,b,ugraph) p ->
1639 if parameters = [] then
1640 (C.MutConstruct (uri,i,j,exp_named_subst))
1643 (C.MutConstruct (uri,i,j,exp_named_subst)::parameters))
1645 let ty_p,ugraph1 = type_of_aux ~logger context p ugraph in
1646 let ty_cons,ugraph3 = type_of_aux ~logger context cons ugraph1 in
1649 type_of_branch ~subst context parsno need_dummy outtype cons
1653 ~subst ~metasenv context ty_p ty_branch ugraph3
1658 prerr_endline ("\n!OUTTYPE= " ^ CicPp.ppterm outtype);
1659 prerr_endline ("!CONS= " ^ CicPp.ppterm cons);
1660 prerr_endline ("!TY_CONS= " ^ CicPp.ppterm ty_cons);
1661 prerr_endline ("#### " ^ CicPp.ppterm ty_p ^ "\n<==>\n" ^ CicPp.ppterm ty_branch);
1666 ("#### " ^ CicPp.ppterm ty_p ^
1667 " <==> " ^ CicPp.ppterm ty_branch));
1671 ) (1,true,ugraph4) pl
1673 if not branches_ok then
1675 (TypeCheckerFailure (lazy "Case analysys: wrong branch type"));
1677 if not need_dummy then outtype::arguments@[term]
1678 else outtype::arguments in
1680 if need_dummy && arguments = [] then outtype
1681 else CicReduction.head_beta_reduce (C.Appl arguments')
1685 let types,kl,ugraph1,len =
1687 (fun (types,kl,ugraph,len) (n,k,ty,_) ->
1688 let _,ugraph1 = type_of_aux ~logger context ty ugraph in
1689 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::types,
1690 k::kl,ugraph1,len+1)
1691 ) ([],[],ugraph,0) fl
1695 (fun ugraph (name,x,ty,bo) ->
1697 type_of_aux ~logger (types@context) bo ugraph
1700 R.are_convertible ~subst ~metasenv (types@context)
1701 ty_bo (CicSubstitution.lift len ty) ugraph1 in
1704 let (m, eaten, context') =
1705 eat_lambdas ~subst (types @ context) (x + 1) bo
1707 let rec_uri, rec_uri_len =
1709 match List.hd context' with
1710 Some (_,Cic.Decl he) -> he
1713 match CicReduction.whd ~subst (List.tl context') he with
1714 | Cic.MutInd (uri,_,_)
1715 | Cic.Appl (Cic.MutInd (uri,_,_)::_) ->
1718 CicEnvironment.get_obj
1719 CicUniv.oblivion_ugraph uri
1721 | Cic.InductiveDefinition (tl,_,_,_), _ ->
1723 | _ -> assert false)
1727 let's control the guarded by
1728 destructors conditions D{f,k,x,M}
1730 if not (guarded_by_destructors ~logger ~metasenv ~subst
1731 rec_uri rec_uri_len context' eaten (len + eaten) kl
1736 (lazy ("Fix: not guarded by destructors:"^CicPp.ppterm t)))
1741 raise (TypeCheckerFailure (lazy ("Fix: ill-typed bodies")))
1743 (*CSC: controlli mancanti solo su D{f,k,x,M} *)
1744 let (_,_,ty,_) = List.nth fl i in
1747 let types,ugraph1,len =
1749 (fun (l,ugraph,len) (n,ty,_) ->
1751 type_of_aux ~logger context ty ugraph in
1752 (Some (C.Name n,(C.Decl (CicSubstitution.lift len ty)))::l,
1758 (fun ugraph (_,ty,bo) ->
1760 type_of_aux ~logger (types @ context) bo ugraph
1763 R.are_convertible ~subst ~metasenv (types @ context) ty_bo
1764 (CicSubstitution.lift len ty) ugraph1
1768 (* let's control that the returned type is coinductive *)
1769 match returns_a_coinductive ~subst context ty with
1773 (lazy "CoFix: does not return a coinductive type"))
1776 let's control the guarded by constructors
1779 if not (guarded_by_constructors ~logger ~subst ~metasenv uri
1780 (types @ context) 0 len false bo) then
1783 (lazy "CoFix: not guarded by constructors"))
1789 (TypeCheckerFailure (lazy "CoFix: ill-typed bodies"))
1792 let (_,ty,_) = List.nth fl i in
1795 and check_exp_named_subst uri ~logger ~subst context ens ugraph =
1797 let obj,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
1799 Cic.Constant (_,_,_,params,_) -> params
1800 | Cic.Variable (_,_,_,params,_) -> params
1801 | Cic.CurrentProof (_,_,_,_,params,_) -> params
1802 | Cic.InductiveDefinition (_,params,_,_) -> params
1804 let rec check_same_order params ens =
1805 match params,ens with
1808 raise (TypeCheckerFailure (lazy "Bad explicit named substitution"))
1809 | uri::tl,(uri',_)::tl' when UriManager.eq uri uri' ->
1810 check_same_order tl tl'
1811 | _::tl,l -> check_same_order tl l
1813 let rec check_exp_named_subst_aux ~logger esubsts l ugraph =
1816 | ((uri,t) as item)::tl ->
1817 let ty_uri,ugraph1 = type_of_variable ~logger uri ugraph in
1819 CicSubstitution.subst_vars esubsts ty_uri in
1820 let typeoft,ugraph2 = type_of_aux ~logger context t ugraph1 in
1822 CicReduction.are_convertible ~subst ~metasenv
1823 context typeoft typeofvar ugraph2
1826 check_exp_named_subst_aux ~logger (esubsts@[item]) tl ugraph3
1829 CicReduction.fdebug := 0 ;
1831 (CicReduction.are_convertible
1832 ~subst ~metasenv context typeoft typeofvar ugraph2) ;
1834 debug typeoft [typeofvar] ;
1835 raise (TypeCheckerFailure (lazy "Wrong Explicit Named Substitution"))
1838 check_same_order params ens ;
1839 check_exp_named_subst_aux ~logger [] ens ugraph
1841 and sort_of_prod ~subst context (name,s) (t1, t2) ugraph =
1842 let module C = Cic in
1843 let t1' = CicReduction.whd ~subst context t1 in
1844 let t2' = CicReduction.whd ~subst ((Some (name,C.Decl s))::context) t2 in
1845 match (t1', t2') with
1846 | (C.Sort s1, C.Sort (C.Prop | C.Set)) ->
1847 (* different from Coq manual!!! *)
1849 | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
1850 let t' = CicUniv.fresh() in
1852 let ugraph1 = CicUniv.add_ge t' t1 ugraph in
1853 let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
1854 C.Sort (C.Type t'),ugraph2
1856 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1857 | (C.Sort (C.CProp t1), C.Sort (C.CProp t2)) ->
1858 let t' = CicUniv.fresh() in
1860 let ugraph1 = CicUniv.add_ge t' t1 ugraph in
1861 let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
1862 C.Sort (C.CProp t'),ugraph2
1864 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1865 | (C.Sort (C.Type t1), C.Sort (C.CProp t2)) ->
1866 let t' = CicUniv.fresh() in
1868 let ugraph1 = CicUniv.add_ge t' t1 ugraph in
1869 let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
1870 C.Sort (C.CProp t'),ugraph2
1872 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1873 | (C.Sort (C.CProp t1), C.Sort (C.Type t2)) ->
1874 let t' = CicUniv.fresh() in
1876 let ugraph1 = CicUniv.add_gt t' t1 ugraph in
1877 let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
1878 C.Sort (C.Type t'),ugraph2
1880 CicUniv.UniverseInconsistency msg -> raise (TypeCheckerFailure msg))
1881 | (C.Sort _,C.Sort (C.Type t1)) -> C.Sort (C.Type t1),ugraph
1882 | (C.Sort _,C.Sort (C.CProp t1)) -> C.Sort (C.CProp t1),ugraph
1883 | (C.Meta _, C.Sort _) -> t2',ugraph
1884 | (C.Meta _, (C.Meta (_,_) as t))
1885 | (C.Sort _, (C.Meta (_,_) as t)) when CicUtil.is_closed t ->
1887 | (_,_) -> raise (TypeCheckerFailure (lazy (sprintf
1888 "Prod: expected two sorts, found = %s, %s" (CicPp.ppterm t1')
1889 (CicPp.ppterm t2'))))
1891 and eat_prods ~subst context hetype l ugraph =
1892 (*CSC: siamo sicuri che le are_convertible non lavorino con termini non *)
1896 | (hete, hety)::tl ->
1897 (match (CicReduction.whd ~subst context hetype) with
1900 (*if (match hety,s with Cic.Sort _,Cic.Sort _ -> false | _,_ -> true) && hety <> s then(
1901 prerr_endline ("AAA22: " ^ CicPp.ppterm hete ^ ": " ^ CicPp.ppterm hety ^ " <==> " ^ CicPp.ppterm s); let res = CicReduction.are_convertible ~subst ~metasenv context hety s ugraph in prerr_endline "#"; res) else*)
1902 CicReduction.are_convertible
1903 ~subst ~metasenv context hety s ugraph
1907 CicReduction.fdebug := -1 ;
1908 eat_prods ~subst context
1909 (CicSubstitution.subst ~avoid_beta_redexes:true hete t)
1911 (*TASSI: not sure *)
1915 CicReduction.fdebug := 0 ;
1916 ignore (CicReduction.are_convertible
1917 ~subst ~metasenv context s hety ugraph) ;
1923 ("Appl: wrong parameter-type, expected %s, found %s")
1924 (CicPp.ppterm hetype) (CicPp.ppterm s))))
1927 raise (TypeCheckerFailure
1928 (lazy "Appl: this is not a function, it cannot be applied"))
1931 and returns_a_coinductive ~subst context ty =
1932 let module C = Cic in
1933 match CicReduction.whd ~subst context ty with
1934 C.MutInd (uri,i,_) ->
1935 (*CSC: definire una funzioncina per questo codice sempre replicato *)
1938 CicEnvironment.get_cooked_obj ~trust:false CicUniv.empty_ugraph uri
1939 with Not_found -> assert false
1942 C.InductiveDefinition (itl,_,_,_) ->
1943 let (_,is_inductive,_,_) = List.nth itl i in
1944 if is_inductive then None else (Some uri)
1946 raise (TypeCheckerFailure
1947 (lazy ("Unknown mutual inductive definition:" ^
1948 UriManager.string_of_uri uri)))
1950 | C.Appl ((C.MutInd (uri,i,_))::_) ->
1951 (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
1953 C.InductiveDefinition (itl,_,_,_) ->
1954 let (_,is_inductive,_,_) = List.nth itl i in
1955 if is_inductive then None else (Some uri)
1957 raise (TypeCheckerFailure
1958 (lazy ("Unknown mutual inductive definition:" ^
1959 UriManager.string_of_uri uri)))
1961 | C.Prod (n,so,de) ->
1962 returns_a_coinductive ~subst ((Some (n,C.Decl so))::context) de
1967 debug_print (lazy ("INIZIO TYPE_OF_AUX " ^ CicPp.ppterm t)) ; flush stderr ;
1970 type_of_aux ~logger context t ugraph
1972 in debug_print (lazy "FINE TYPE_OF_AUX") ; flush stderr ; res
1975 (* is a small constructor? *)
1976 (*CSC: ottimizzare calcolando staticamente *)
1977 and is_small_or_non_informative ~condition ~logger context paramsno c ugraph =
1978 let rec is_small_or_non_informative_aux ~logger context c ugraph =
1979 let module C = Cic in
1980 match CicReduction.whd context c with
1982 let s,ugraph1 = type_of_aux' ~logger [] context so ugraph in
1983 let b = condition s in
1985 is_small_or_non_informative_aux
1986 ~logger ((Some (n,(C.Decl so)))::context) de ugraph1
1989 | _ -> true,ugraph (*CSC: we trust the type-checker *)
1991 let (context',dx) = split_prods ~subst:[] context paramsno c in
1992 is_small_or_non_informative_aux ~logger context' dx ugraph
1994 and is_small ~logger =
1995 is_small_or_non_informative
1996 ~condition:(fun s -> s=Cic.Sort Cic.Prop || s=Cic.Sort Cic.Set)
1999 and is_non_informative ~logger =
2000 is_small_or_non_informative
2001 ~condition:(fun s -> s=Cic.Sort Cic.Prop)
2004 and type_of ~logger t ugraph =
2006 debug_print (lazy ("INIZIO TYPE_OF_AUX' " ^ CicPp.ppterm t)) ; flush stderr ;
2009 type_of_aux' ~logger [] [] t ugraph
2011 in debug_print (lazy "FINE TYPE_OF_AUX'") ; flush stderr ; res
2015 let typecheck_obj0 ~logger uri (obj,unchecked_ugraph) =
2016 let module C = Cic in
2017 let ugraph = CicUniv.empty_ugraph in
2018 let inferred_ugraph =
2020 | C.Constant (_,Some te,ty,_,_) ->
2021 let _,ugraph = type_of ~logger ty ugraph in
2022 let ty_te,ugraph = type_of ~logger te ugraph in
2023 let b,ugraph = (CicReduction.are_convertible [] ty_te ty ugraph) in
2025 raise (TypeCheckerFailure
2027 ("the type of the body is not the one expected:\n" ^
2028 CicPp.ppterm ty_te ^ "\nvs\n" ^
2032 | C.Constant (_,None,ty,_,_) ->
2033 (* only to check that ty is well-typed *)
2034 let _,ugraph = type_of ~logger ty ugraph in
2036 | C.CurrentProof (_,conjs,te,ty,_,_) ->
2037 (* this block is broken since the metasenv should
2038 * be topologically sorted before typing metas *)
2039 ignore(assert false);
2042 (fun (metasenv,ugraph) ((_,context,ty) as conj) ->
2044 type_of_aux' ~logger metasenv context ty ugraph
2046 metasenv @ [conj],ugraph
2049 let _,ugraph = type_of_aux' ~logger conjs [] ty ugraph in
2050 let type_of_te,ugraph =
2051 type_of_aux' ~logger conjs [] te ugraph
2053 let b,ugraph = CicReduction.are_convertible [] type_of_te ty ugraph in
2055 raise (TypeCheckerFailure (lazy (sprintf
2056 "the current proof is not well typed because the type %s of the body is not convertible to the declared type %s"
2057 (CicPp.ppterm type_of_te) (CicPp.ppterm ty))))
2060 | C.Variable (_,bo,ty,_,_) ->
2061 (* only to check that ty is well-typed *)
2062 let _,ugraph = type_of ~logger ty ugraph in
2066 let ty_bo,ugraph = type_of ~logger bo ugraph in
2067 let b,ugraph = CicReduction.are_convertible [] ty_bo ty ugraph in
2069 raise (TypeCheckerFailure
2070 (lazy "the body is not the one expected"))
2074 | (C.InductiveDefinition _ as obj) ->
2075 check_mutual_inductive_defs ~logger uri obj ugraph
2077 check_and_clean_ugraph inferred_ugraph unchecked_ugraph uri obj
2081 let module C = Cic in
2082 let module R = CicReduction in
2083 let module U = UriManager in
2084 let logger = new CicLogger.logger in
2085 match CicEnvironment.is_type_checked ~trust:false CicUniv.empty_ugraph uri with
2086 | CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
2087 | CicEnvironment.UncheckedObj (uobj,unchecked_ugraph) ->
2088 (* let's typecheck the uncooked object *)
2089 logger#log (`Start_type_checking uri) ;
2090 let ugraph, ul, obj = typecheck_obj0 ~logger uri (uobj,unchecked_ugraph) in
2091 CicEnvironment.set_type_checking_info uri (obj,ugraph,ul);
2092 logger#log (`Type_checking_completed uri);
2093 match CicEnvironment.is_type_checked ~trust:false CicUniv.empty_ugraph uri with
2094 | CicEnvironment.CheckedObj (cobj,ugraph') -> cobj,ugraph'
2095 | _ -> raise CicEnvironmentError
2098 let typecheck_obj ~logger uri obj =
2099 let ugraph,univlist,obj = typecheck_obj0 ~logger uri (obj,None) in
2100 CicEnvironment.add_type_checked_obj uri (obj,ugraph,univlist)
2102 (** wrappers which instantiate fresh loggers *)
2104 let profiler = HExtlib.profile "K/CicTypeChecker.type_of_aux'"
2106 let type_of_aux' ?(subst = []) metasenv context t ugraph =
2107 let logger = new CicLogger.logger in
2108 profiler.HExtlib.profile
2109 (type_of_aux' ~logger ~subst metasenv context t) ugraph
2111 let typecheck_obj uri obj =
2112 let logger = new CicLogger.logger in
2113 typecheck_obj ~logger uri obj
2115 (* check_allowed_sort_elimination uri i s1 s2
2116 This function is used outside the kernel to determine in advance whether
2117 a MutCase will be allowed or not.
2118 [uri,i] is the type of the term to match
2119 [s1] is the sort of the term to eliminate (i.e. the head of the arity
2120 of the inductive type [uri,i])
2121 [s2] is the sort of the goal (i.e. the head of the type of the outtype
2123 let check_allowed_sort_elimination uri i s1 s2 =
2124 fst (check_allowed_sort_elimination ~subst:[] ~metasenv:[]
2125 ~logger:(new CicLogger.logger) [] uri i true
2126 (Cic.Implicit None) (* never used *) (Cic.Sort s1) (Cic.Sort s2)
2127 CicUniv.empty_ugraph)
2130 Deannotate.type_of_aux' :=
2137 | Some (_,Cic.Decl ty) ->
2138 ignore (type_of_aux' [] context ty CicUniv.empty_ugraph)
2139 | Some (_,Cic.Def (bo,ty)) ->
2140 ignore (type_of_aux' [] context ty CicUniv.empty_ugraph);
2141 ignore (type_of_aux' [] context bo CicUniv.empty_ugraph));
2144 fst (type_of_aux' [] context t CicUniv.empty_ugraph);;