2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department, University of Bologna, Italy.
6 ||T|| HELM is free software; you can redistribute it and/or
7 ||A|| modify it under the terms of the GNU General Public License
8 \ / version 2 or (at your option) any later version.
9 \ / This software is distributed as is, NO WARRANTY.
10 V_______________________________________________________________ *)
14 exception RefineFailure of (Stdpp.location * string) Lazy.t;;
15 exception Uncertain of (Stdpp.location * string) Lazy.t;;
16 exception AssertFailure of string Lazy.t;;
19 module Ref = NReference
21 let debug = ref false;;
26 prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
31 let time1 = Unix.gettimeofday () in
32 indent := !indent ^ String.make 1 c;
33 times := time1 :: !times;
34 prerr_endline ("{{{" ^ !indent ^ " ")
40 let time2 = Unix.gettimeofday () in
42 match !times with time1::tl -> times := tl; time1 | [] -> assert false in
43 prerr_endline ("}}} " ^ string_of_float (time2 -. time1));
44 if not ok then prerr_endline "exception raised!";
46 indent := String.sub !indent 0 (String.length !indent -1)
48 Invalid_argument _ -> indent := "??"; ()
53 let wrap_exc msg = function
54 | NCicUnification.Uncertain _ -> Uncertain msg
55 | NCicUnification.UnificationFailure _ -> RefineFailure msg
56 | NCicTypeChecker.TypeCheckerFailure _ -> RefineFailure msg
60 let exp_implicit status ~localise metasenv subst context with_type t =
63 let metasenv,subst,expty =
65 None -> metasenv,subst,None
67 let (metasenv,subst),typ =
69 NCicMetaSubst.delift status
70 ~unify:(fun m s c t1 t2 ->
71 try Some (NCicUnification.unify status m s c t1 t2)
72 with NCicUnification.UnificationFailure _ | NCicUnification.Uncertain _ -> None)
73 metasenv subst context 0 (0,NCic.Irl 0) typ
75 NCicMetaSubst.MetaSubstFailure _
76 | NCicMetaSubst.Uncertain _ ->
77 raise (RefineFailure (lazy (localise t,"Trying to create a closed meta with a non closed type: " ^ status#ppterm ~metasenv ~subst ~context typ)))
80 metasenv,subst,Some typ
82 NCicMetaSubst.mk_meta metasenv [] ?with_type:expty `IsTerm,subst
83 | `Type -> NCicMetaSubst.mk_meta metasenv context ?with_type `IsType,subst
84 | `Term -> NCicMetaSubst.mk_meta metasenv context ?with_type `IsTerm,subst
87 ~attrs:[`Name s] metasenv context ?with_type `IsTerm,subst
89 raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^
90 "can only be used in argument position")))
94 let check_allowed_sort_elimination status localise r orig =
97 | C.Appl l -> C.Appl (l @ [arg])
98 | t -> C.Appl [t;arg] in
99 (* ctx, ind_type @ lefts, sort_of_ind_ty@lefts, outsort *)
100 let rec aux metasenv subst context ind arity1 arity2 =
101 (*D*)inside 'S'; try let rc =
102 let arity1 = NCicReduction.whd status ~subst context arity1 in
103 pp (lazy(status#ppterm ~subst ~metasenv ~context arity1 ^ " elimsto " ^
104 status#ppterm ~subst ~metasenv ~context arity2 ^ "\nMENV:\n"^
105 status#ppmetasenv ~subst metasenv));
107 | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) ->
108 let metasenv, _, meta, _ =
109 NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `IsType
111 let metasenv, subst =
112 try NCicUnification.unify status metasenv subst context
113 arity2 (C.Prod (name, so1, meta))
114 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
115 "expected %s, found %s" (* XXX localizzare meglio *)
116 (status#ppterm ~subst ~metasenv ~context (C.Prod (name, so1, meta)))
117 (status#ppterm ~subst ~metasenv ~context arity2))) exc)
119 aux metasenv subst ((name, C.Decl so1)::context)
120 (mkapp (NCicSubstitution.lift status 1 ind) (C.Rel 1)) de1 meta
121 | C.Sort _ (* , t ==?== C.Prod _ *) ->
122 let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `IsSort in
123 let metasenv, subst =
124 try NCicUnification.unify status metasenv subst context
125 arity2 (C.Prod ("_", ind, meta))
126 with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf
127 "expected %s, found %s" (* XXX localizzare meglio *)
128 (status#ppterm ~subst ~metasenv ~context (C.Prod ("_", ind, meta)))
129 (status#ppterm ~subst ~metasenv ~context arity2))) exc)
131 (try NCicTypeChecker.check_allowed_sort_elimination status
132 ~metasenv ~subst r context ind arity1 arity2;
134 with exc -> raise (wrap_exc (lazy (localise orig,
135 "Sort elimination not allowed ")) exc))
137 (*D*)in outside true; rc with exc -> outside false; raise exc
142 let rec typeof (status:#NCicCoercion.status)
143 ?(localise=fun _ -> Stdpp.dummy_loc)
144 metasenv subst context term expty
146 let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty =
147 (*D*)inside 'F'; try let rc =
151 | C.Implicit _ -> assert false
152 | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty
153 | C.Appl _ when skip_appl -> metasenv, subst, t, expty
155 pp (lazy ("forcing infty=expty: "^
156 (status#ppterm ~metasenv ~subst ~context infty) ^ " === " ^
157 (status#ppterm ~metasenv ~subst:[] ~context expty)));
159 let metasenv, subst =
160 (*D*)inside 'U'; try let rc =
161 NCicUnification.unify status metasenv subst context infty expty
162 (*D*)in outside true; rc with exc -> outside false; raise exc
164 metasenv, subst, t, expty
166 | NCicUnification.Uncertain _
167 | NCicUnification.UnificationFailure _ as exc ->
168 try_coercions status ~localise
169 metasenv subst context t orig infty (`Type expty) exc)
170 | None -> metasenv, subst, t, infty
171 (*D*)in outside true; rc with exc -> outside false; raise exc
173 let rec typeof_aux metasenv subst context expty =
175 (*D*)inside 'R'; try let rc =
176 pp (lazy (status#ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^
177 match expty with None -> "None" | Some e ->
178 status#ppterm ~metasenv ~subst ~context e));
179 let metasenv, subst, t, infty =
184 match List.nth context (n - 1) with
185 | (_,C.Decl ty) -> NCicSubstitution.lift status n ty
186 | (_,C.Def (_,ty)) -> NCicSubstitution.lift status n ty
188 raise (RefineFailure (lazy (localise t,"unbound variable"))))
190 metasenv, subst, t, infty
192 (try metasenv, subst, t, C.Sort (NCicEnvironment.typeof_sort s)
194 | NCicEnvironment.UntypableSort msg ->
195 raise (RefineFailure (lazy (localise t, Lazy.force msg)))
196 | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg))
197 | C.Implicit infos ->
198 let (metasenv,_,t,ty),subst =
199 exp_implicit status ~localise metasenv subst context expty t infos
202 typeof_aux metasenv subst context None t
204 metasenv, subst, t, ty
205 | C.Meta (n,l) as t ->
208 let _,_,_,ty = NCicUtils.lookup_subst n subst in metasenv, ty
209 with NCicUtils.Subst_not_found _ ->
210 NCicMetaSubst.extend_meta metasenv n
212 metasenv, subst, t, NCicSubstitution.subst_meta status l ty
214 metasenv, subst, t, NCicTypeChecker.typeof status ~subst ~metasenv context t
215 | C.Prod (name,(s as orig_s),(t as orig_t)) ->
216 let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in
217 let metasenv, subst, s, s1 =
219 metasenv subst context s orig_s localise s1 in
220 let context1 = (name,(C.Decl s))::context in
221 let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in
222 let metasenv, subst, t, s2 =
224 metasenv subst context1 t orig_t localise s2 in
225 let metasenv, subst, s, t, ty =
226 sort_of_prod status localise metasenv subst
227 context orig_s orig_t (name,s) t (s1,s2)
229 metasenv, subst, NCic.Prod(name,s,t), ty
230 | C.Lambda (n,(s as orig_s),t) as orig ->
231 let exp_s, exp_ty_t, force_after =
233 | None -> None, None, false
235 match NCicReduction.whd status ~subst context expty with
236 | C.Prod (_,s,t) -> Some s, Some t, false
237 | _ -> None, None, true
239 let (metasenv,subst), s =
242 (* optimized case: implicit and implicitly typed meta
243 * the optimization prevents proliferation of metas *)
245 | C.Implicit _ -> (metasenv,subst),exp_s
247 let metasenv, subst, s = match s with
249 when (try (match NCicUtils.lookup_meta n metasenv with
250 | _,_,C.Implicit (`Typeof _) -> true
253 | _ -> false) -> metasenv, subst, s
254 | _ -> check_type status ~localise metasenv subst context s in
256 pp(lazy("Force source to: "^status#ppterm ~metasenv ~subst
258 NCicUnification.unify ~test_eq_only:true status metasenv subst context s exp_s,s
259 with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf
260 "Source type %s was expected to be %s" (status#ppterm ~metasenv
261 ~subst ~context s) (status#ppterm ~metasenv ~subst ~context
264 let metasenv, subst, s =
265 check_type status ~localise metasenv subst context s in
268 let context_for_t = (n,C.Decl s) :: context in
269 let metasenv, subst, t, ty_t =
270 typeof_aux metasenv subst context_for_t exp_ty_t t
273 force_ty false true metasenv subst context orig
274 (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty
276 metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t)
277 | C.LetIn (n,ty,t,bo) ->
278 let metasenv, subst, ty =
279 check_type status ~localise metasenv subst context ty in
280 let metasenv, subst, t, _ =
281 typeof_aux metasenv subst context (Some ty) t in
282 let context1 = (n, C.Def (t,ty)) :: context in
283 let metasenv, subst, expty1 =
285 | None -> metasenv, subst, None
288 NCicUnification.delift_type_wrt_terms
289 status metasenv subst context1 (NCicSubstitution.lift status 1 x)
290 [NCicSubstitution.lift status 1 t]
294 let metasenv, subst, bo, bo_ty =
295 typeof_aux metasenv subst context1 expty1 bo
297 let bo_ty = NCicSubstitution.subst status ~avoid_beta_redexes:true t bo_ty in
298 metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty
299 | C.Appl ((he as orig_he)::(_::_ as args)) ->
300 let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in
302 if upto > 0 then NCicReduction.head_beta_reduce status ~upto t else t
304 let refine_appl metasenv subst args =
305 let metasenv, subst, he, ty_he =
306 typeof_aux metasenv subst context None he in
307 let metasenv, subst, t, ty =
308 eat_prods status ~localise force_ty metasenv subst context expty t
309 orig_he he ty_he args in
310 metasenv, subst, hbr t, ty
312 if args = [C.Implicit `Vector] && expty <> None then
313 (* we try here to expand the vector a 0 implicits, but we use
314 * the expected type *)
316 let metasenv, subst, he, ty_he =
317 typeof_aux metasenv subst context expty he in
318 metasenv, subst, hbr he, ty_he
319 with Uncertain _ | RefineFailure _ -> refine_appl metasenv subst args
321 (* CSC: whd can be useful on he too... *)
323 C.Const (Ref.Ref (uri1,Ref.Con _)) -> (
325 HExtlib.map_option (NCicReduction.whd status ~subst context) expty
327 Some (C.Appl(C.Const(Ref.Ref (uri2,Ref.Ind _) as ref)::expargs))
328 when NUri.eq uri1 uri2 ->
330 let _,leftno,_,_,_ = NCicEnvironment.get_checked_indtys status ref in
331 let leftexpargs,_ = HExtlib.split_nth leftno expargs in
332 let rec instantiate metasenv subst revargs args =
335 (* some checks are re-done here, but it would be complex
336 to avoid them (e.g. we did not check yet that the
337 constructor is a constructor for that inductive type)*)
338 refine_appl metasenv subst ((List.rev revargs)@args)
339 | (exparg::expargs) as allexpargs ->
341 [] -> raise (Failure "Not enough args")
342 | (C.Implicit `Vector::args) as allargs ->
344 instantiate metasenv subst revargs args allexpargs
346 Sys.Break as exn -> raise exn
348 instantiate metasenv subst revargs
349 (C.Implicit `Term :: allargs) allexpargs)
351 let metasenv,subst,arg,_ =
352 typeof_aux metasenv subst context None arg in
354 NCicUnification.unify status metasenv subst context
357 instantiate metasenv subst(arg::revargs) args expargs
359 instantiate metasenv subst [] args leftexpargs
361 | Sys.Break as exn -> raise exn
363 refine_appl metasenv subst args (* to try coercions *))
364 | _ -> refine_appl metasenv subst args)
365 | _ -> refine_appl metasenv subst args)
366 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
367 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,
368 outtype,(term as orig_term),pl) as orig ->
369 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys status r in
370 let _, _, arity, cl = List.nth itl tyno in
371 let constructorsno = List.length cl in
372 let _, metasenv, args =
373 NCicMetaSubst.saturate status metasenv subst context arity 0 in
374 let ind = if args = [] then C.Const r else C.Appl (C.Const r::args) in
375 let metasenv, subst, term, _ =
376 typeof_aux metasenv subst context (Some ind) term in
377 let parameters, arguments = HExtlib.split_nth leftno args in
380 | C.Implicit _ as ot ->
381 let rec aux = function
382 | [] -> NCic.Lambda ("_",NCic.Implicit `Type,ot)
383 | _::tl -> NCic.Lambda ("_",NCic.Implicit `Type,aux tl)
388 let metasenv, subst, outtype, outsort =
389 typeof_aux metasenv subst context None outtype in
391 (* next lines are to do a subst-expansion of the outtype, so
392 that when it becomes a beta-abstraction, the beta-redex is
393 fired during substitution *)
394 let _,fresh_metanoouttype,newouttype,_ =
395 NCicMetaSubst.mk_meta metasenv context `IsTerm in
397 (fresh_metanoouttype,([`Name "outtype"],context,outtype,outsort))
399 let outtype = newouttype in
401 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
403 if parameters = [] then C.Const r
404 else C.Appl ((C.Const r)::parameters) in
405 let metasenv, subst, ind, ind_ty =
406 typeof_aux metasenv subst context None ind in
407 let metasenv, subst =
408 check_allowed_sort_elimination status localise r orig_term metasenv subst
409 context ind ind_ty outsort
411 (* let's check if the type of branches are right *)
412 if List.length pl <> constructorsno then
413 raise (RefineFailure (lazy (localise orig,
414 "Wrong number of cases in a match")));
416 let metasenv, subst =
418 | None -> metasenv, subst
420 NCicUnification.unify status metasenv subst context resty expty
423 let _, metasenv, subst, pl =
425 (fun p (j, metasenv, subst, branches) ->
427 let cons = Ref.mk_constructor j r in
428 if parameters = [] then C.Const cons
429 else C.Appl (C.Const cons::parameters)
431 let metasenv, subst, cons, ty_cons =
432 typeof_aux metasenv subst context None cons in
434 NCicTypeChecker.type_of_branch status
435 ~subst context leftno outtype cons ty_cons in
436 pp (lazy ("TYPEOFBRANCH: " ^
437 status#ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^
438 status#ppterm ~metasenv ~subst ~context ty_branch ));
439 let metasenv, subst, p, _ =
440 typeof_aux metasenv subst context (Some ty_branch) p in
441 j-1, metasenv, subst, p :: branches)
442 pl (List.length pl, metasenv, subst, [])
444 let resty = C.Appl (outtype::arguments@[term]) in
445 let resty = NCicReduction.head_beta_reduce status ~subst resty in
446 metasenv, subst, C.Match (r, outtype, term, pl),resty
447 | C.Match _ -> assert false
449 pp (lazy (status#ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^
450 status#ppterm ~metasenv ~subst ~context infty ));
451 force_ty true true metasenv subst context orig t infty expty
452 (*D*)in outside true; rc with exc -> outside false; raise exc
454 typeof_aux metasenv subst context expty term
456 and check_type status ~localise metasenv subst context (ty as orig_ty) =
457 let metasenv, subst, ty, sort =
458 typeof status ~localise metasenv subst context ty None
460 let metasenv, subst, ty, _ =
461 force_to_sort status metasenv subst context ty orig_ty localise sort
465 and try_coercions status
466 ~localise metasenv subst context t orig_t infty expty exc
468 let cs_subst = NCicSubstitution.subst status ~avoid_beta_redexes:true in
472 pp (lazy "WWW: trying coercions -- preliminary unification");
473 let metasenv, subst =
474 NCicUnification.unify status metasenv subst context infty expty
475 in metasenv, subst, t, expty
476 | _ -> raise (Failure "Special case Prod or Sort"))
479 (* we try with a coercion *)
480 let rec first exc = function
484 `Type expty -> status#ppterm ~metasenv ~subst ~context expty
485 | `Sort -> "[[sort]]"
486 | `Prod -> "[[prod]]" in
487 pp (lazy "WWW: no more coercions!");
488 raise (wrap_exc (lazy (localise orig_t, Printf.sprintf
489 "The term\n%s\nhas type\n%s\nbut is here used with type\n%s"
490 (status#ppterm ~metasenv ~subst ~context t)
491 (status#ppterm ~metasenv ~subst ~context infty)
493 | (_,metasenv, newterm, newtype, meta)::tl ->
495 pp (lazy("K=" ^ status#ppterm ~metasenv ~subst ~context newterm));
496 pp (lazy ( "UNIFICATION in CTX:\n"^
497 status#ppcontext ~metasenv ~subst context
499 status#ppmetasenv metasenv ~subst
501 status#ppterm ~metasenv ~subst ~context t ^ " === " ^
502 status#ppterm ~metasenv ~subst ~context meta ^ "\n"));
503 let metasenv, subst =
504 NCicUnification.unify status metasenv subst context t meta in
507 pp (lazy ( "UNIFICATION in CTX:\n"^
508 status#ppcontext ~metasenv ~subst context
510 status#ppmetasenv metasenv ~subst
512 status#ppterm ~metasenv ~subst ~context newtype ^ " === " ^
513 status#ppterm ~metasenv ~subst ~context expty ^ "\n"));
515 NCicUnification.unify status metasenv subst context newtype expty
517 metasenv, subst, newterm, newtype
519 (match NCicReduction.whd status ~subst context newtype with
520 NCic.Sort _ -> metasenv,subst,newterm,newtype
523 (match NCicReduction.whd status ~subst context newtype with
524 NCic.Prod _ -> metasenv,subst,newterm,newtype
527 | NCicUnification.UnificationFailure _ -> first exc tl
528 | NCicUnification.Uncertain _ as exc -> first exc tl
532 pp (lazy "WWW: trying coercions -- inner check");
533 match infty, expty, t with
534 (* `Sort|`Prod + Match not implemented *)
535 | _,`Type expty, NCic.Match (Ref.Ref (_,Ref.Ind (_,tyno,leftno)) as r,outty,m,pl) ->
536 (*{{{*) pp (lazy "CASE");
537 (* {{{ helper functions *)
538 let get_cl_and_left_p refit outty =
540 | NReference.Ref (uri, NReference.Ind (_,tyno,leftno)) ->
541 let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys status r in
542 let _, _, ty, cl = List.nth itl tyno in
543 let constructorsno = List.length cl in
546 match NCicReduction.whd status ~subst ~delta:max_int ctx t with
547 | NCic.Prod (name,src,tgt) ->
548 let ctx = (name, (NCic.Decl src)) :: ctx in
554 let rec skip_lambda_delifting t n =
557 | NCic.Lambda (_,_,t),n ->
558 pp (lazy ("WWW: failing term? "^ status#ppterm ~subst:[] ~metasenv:[] ~context:[] t));
559 skip_lambda_delifting
560 (* substitute dangling indices with a dummy *)
561 (NCicSubstitution.subst status (NCic.Sort NCic.Prop) t) (n - 1)
564 let get_l_r_p n = function
565 | NCic.Lambda (_,NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))),_) -> [],[]
566 | NCic.Lambda (_,NCic.Appl
567 (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) :: args),_) ->
568 HExtlib.split_nth n args
571 let pis = count_pis ty in
572 let rno = pis - leftno in
573 let t = skip_lambda_delifting outty rno in
574 let left_p, _ = get_l_r_p leftno t in
575 let instantiate_with_left cl =
579 (fun t p -> match t with
580 | NCic.Prod (_,_,t) ->
586 let cl = instantiate_with_left (List.map (fun (_,_,x) -> x) cl) in
587 cl, left_p, leftno, rno
590 (*{{{*) pp (lazy "CASE");
591 let rec keep_lambdas_and_put_expty ctx t bo right_p matched n =
594 let rec mkr n = function
595 | [] -> [] | _::tl -> NCic.Rel n :: mkr (n+1) tl
597 pp (lazy ("input replace: " ^ status#ppterm ~context:ctx ~metasenv:[] ~subst:[] bo));
599 NCicRefineUtil.replace_lifting status
600 ~equality:(fun _ -> NCicRefineUtil.alpha_equivalence status)
602 ~what:(matched::right_p)
603 ~with_what:(NCic.Rel 1::List.rev (mkr 2 right_p))
606 pp (lazy ("output replace: " ^ status#ppterm ~context:ctx ~metasenv:[] ~subst:[] bo));
608 | NCic.Lambda (name, src, tgt),_ ->
609 NCic.Lambda (name, src,
610 keep_lambdas_and_put_expty
611 ((name, NCic.Decl src)::ctx) tgt (NCicSubstitution.lift status 1 bo)
612 (List.map (NCicSubstitution.lift status 1) right_p) (NCicSubstitution.lift status 1 matched) (n-1))
615 (*let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.ind(1,0,2)")) in
616 let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.con(0,1,2)")) in*)
617 let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/basics/jmeq/jmeq.ind(1,0,2)")) in
618 let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/basics/jmeq/jmeq.con(0,1,2)")) in
620 metasenv subst context cty outty mty m i
622 let rec aux context outty par j mty m = function
623 | NCic.Prod (name, src, tgt) ->
626 ((name, NCic.Decl src) :: context)
627 (NCicSubstitution.lift status 1 outty) (NCic.Rel j::par) (j+1)
628 (NCicSubstitution.lift status 1 mty) (NCicSubstitution.lift status 1 m) tgt
630 NCic.Prod (name, src, t), k
631 | NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r) ->
633 let k = NCic.Const(Ref.mk_constructor i r) in
634 NCicUntrusted.mk_appl k par
636 (* the type has no parameters, so kty = mty
638 try NCicTypechecker.typeof ~subst ~metasenv context k
639 with NCicTypeChecker.TypeCheckerFailure _ -> assert false
642 NCic.Appl [eq; mty; m; mty; k],
643 (NCicSubstitution.lift status 1
644 (NCicReduction.head_beta_reduce status ~delta:max_int
645 (NCicUntrusted.mk_appl outty [k])))),[mty,m,mty,k]
646 | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r)::pl) ->
647 let left_p,right_p = HExtlib.split_nth leftno pl in
648 let has_rights = right_p <> [] in
650 let k = NCic.Const(Ref.mk_constructor i r) in
651 NCicUntrusted.mk_appl k (left_p@par)
655 NCicTypeChecker.typeof status ~subst ~metasenv context k
657 | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) ->
658 snd (HExtlib.split_nth leftno args)
660 with NCicTypeChecker.TypeCheckerFailure _-> assert false
664 | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) ->
665 snd (HExtlib.split_nth leftno args)
669 (fun x y (tacc,pacc) ->
671 try NCicTypeChecker.typeof status ~subst ~metasenv context x
672 with NCicTypeChecker.TypeCheckerFailure _ -> assert false
675 try NCicTypeChecker.typeof status ~subst ~metasenv context y
676 with NCicTypeChecker.TypeCheckerFailure _ -> assert false
678 NCic.Prod ("_", NCic.Appl [eq;xty;x;yty;y],
679 NCicSubstitution.lift status 1 tacc), (xty,x,yty,y)::pacc)
680 (orig_right_p @ [m]) (right_p @ [k])
681 (NCicReduction.head_beta_reduce status ~delta:max_int
682 (NCicUntrusted.mk_appl outty (right_p@[k])), [])
684 (* if has_rights then
685 NCicReduction.head_beta_reduce status ~delta:max_int
686 (NCic.Appl (outty ::right_p @ [k])),k
689 NCic.Appl [eq; mty; m; k],
690 (NCicSubstitution.lift status 1
691 (NCicReduction.head_beta_reduce status ~delta:max_int
692 (NCic.Appl (outty ::right_p @ [k]))))),k*)
695 aux context outty [] 1 mty m cty
697 let add_lambda_for_refl_m pbo eqs cty =
698 (* k lives in the right context *)
699 (* if rno <> 0 then pbo else *)
700 let rec aux = function
701 | NCic.Lambda (name,src,bo), NCic.Prod (_,_,ty) ->
702 NCic.Lambda (name,src,
704 | t,_ -> snd (List.fold_right
705 (fun (xty,x,yty,y) (n,acc) -> n+1, NCic.Lambda ("p" ^ string_of_int n,
706 NCic.Appl [eq; xty; x; yty; y],
707 NCicSubstitution.lift status 1 acc)) eqs (1,t))
709 NCic.Appl [eq; mty; m; k],NCicSubstitution.lift status 1 t)*)
713 let add_pi_for_refl_m context new_outty mty m lno rno =
714 (*if rno <> 0 then new_outty else*)
715 let rec aux context mty m = function
716 | NCic.Lambda (name, src, tgt) ->
717 let context = (name, NCic.Decl src)::context in
718 NCic.Lambda (name, src, aux context (NCicSubstitution.lift status 1 mty) (NCicSubstitution.lift status 1 m) tgt)
722 | NCic.Appl (_::params) -> (snd (HExtlib.split_nth lno params))@[m]
726 List.map (fun x -> NCic.Rel x)
727 (List.rev (HExtlib.list_seq 1 (rno+2))) in
731 try NCicTypeChecker.typeof status ~subst ~metasenv context x
732 with NCicTypeChecker.TypeCheckerFailure _ -> assert false
735 try NCicTypeChecker.typeof status ~subst ~metasenv context y
736 with NCicTypeChecker.TypeCheckerFailure _ -> assert false
739 ("_", NCic.Appl [eq;xty;x;yty;y],
740 (NCicSubstitution.lift status 1 acc)))
743 ("_", NCic.Appl [eq;mty;m;NCic.Rel 1],
744 NCicSubstitution.lift status 1 t)*)
746 aux context mty m new_outty
747 in (* }}} end helper functions *)
748 (* constructors types with left params already instantiated *)
749 let outty = NCicUntrusted.apply_subst status subst context outty in
750 let cl, left_p, leftno,rno =
751 get_cl_and_left_p r outty
756 NCicTypeChecker.typeof status ~subst ~metasenv context m
758 | (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) | NCic.Meta _) as mty -> [], mty
759 | NCic.Appl ((NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))|NCic.Meta _)::args) as mty ->
760 snd (HExtlib.split_nth leftno args), mty
762 with NCicTypeChecker.TypeCheckerFailure _ ->
763 raise (AssertFailure(lazy "already ill-typed matched term"))
765 let mty = NCicUntrusted.apply_subst status subst context mty in
766 let outty = NCicUntrusted.apply_subst status subst context outty in
767 let expty = NCicUntrusted.apply_subst status subst context expty in
769 keep_lambdas_and_put_expty context outty expty right_p m (rno+1)
772 (lazy ("CASE: new_outty: " ^ status#ppterm
773 ~context ~metasenv ~subst new_outty));
774 let _,pl,subst,metasenv =
776 (fun cty pbo (i, acc, s, menv) ->
777 pp (lazy ("begin iteration"));
778 (* Pi k_par, (Pi H:m=(K_i left_par k_par)),
779 * (new_)outty right_par (K_i left_par k_par) *)
781 add_params menv s context cty outty mty m i in
783 (lazy ("CASE: infty_pbo: "^ status#ppterm
784 ~context ~metasenv ~subst infty_pbo));
785 let expty_pbo, eqs = (* k is (K_i left_par k_par) *)
786 add_params menv s context cty new_outty mty m i in
788 (lazy ("CASE: expty_pbo: "^ status#ppterm
789 ~context ~metasenv ~subst expty_pbo));
790 let pbo = add_lambda_for_refl_m pbo eqs cty in
792 (lazy ("CASE: pbo: " ^ status#ppterm
793 ~context ~metasenv ~subst pbo));
794 let metasenv, subst, pbo, _ =
795 try_coercions status ~localise menv s context pbo
796 orig_t (*??*) infty_pbo (`Type expty_pbo) exc
799 (lazy ("CASE: pbo2: " ^ status#ppterm
800 ~context ~metasenv ~subst pbo));
801 (i-1, pbo::acc, subst, metasenv))
802 cl pl (List.length pl, [], subst, metasenv)
804 (*let metasenv, subst =
806 NCicUnification.unify status metasenv subst context outty new_outty
807 with _ -> raise (RefineFailure (lazy (localise orig_t, "try_coercions")))
809 let new_outty = add_pi_for_refl_m context new_outty mty m leftno rno in
810 pp (lazy ("CASE: new_outty: " ^ (status#ppterm
811 ~metasenv ~subst ~context new_outty)));
814 (fun t -> NCicTypeChecker.typeof status ~subst ~metasenv context t) right_p in
816 List.map2 (fun x y -> NCic.Appl[eq_refl;x;y]) (right_tys@[mty])
818 let t = NCic.Appl (NCic.Match(r,new_outty,m,pl) :: eqs)
820 metasenv, subst, t, expty (*}}}*)
821 | _,`Type expty,NCic.LetIn(name,ty,t,bo) ->
822 let rec mk_fresh_name ctx firstch n =
823 let candidate = (String.make 1 firstch) ^ (string_of_int n) in
824 if (List.for_all (fun (s,_) -> s <> candidate) ctx) then candidate
825 else mk_fresh_name ctx firstch (n+1)
828 let name' = mk_fresh_name context 'l' 0 in
829 let context_bo = (name', NCic.Def (t,ty)) :: context in
830 let metasenv, subst, bo2, _ =
831 try_coercions status ~localise metasenv subst context_bo
832 bo orig_t (NCicSubstitution.lift status 1 infty)
833 (`Type (NCicSubstitution.lift status 1 expty)) exc
835 let coerced = NCic.LetIn (name',ty,t,bo2) in
836 pp (lazy ("LETIN: coerced = " ^ status#ppterm ~metasenv ~subst ~context coerced));
837 metasenv, subst, coerced, expty
838 | NCic.Prod (nameprod, src, ty),`Type (NCic.Prod (_, src2, ty2) as expty), _ ->
839 let rec mk_fresh_name ctx firstch n =
840 let candidate = (String.make 1 firstch) ^ (string_of_int n) in
841 if (List.for_all (fun (s,_) -> s <> candidate) ctx) then candidate
842 else mk_fresh_name ctx firstch (n+1)
844 (*{{{*) pp (lazy "LAM");
845 pp (lazy ("LAM: t = " ^ status#ppterm ~metasenv ~subst ~context t));
846 let name_con = mk_fresh_name context 'c' 0
847 (*FreshNamesGenerator.mk_fresh_name
848 ~subst metasenv context ~typ:src2 Cic.Anonymous*)
850 let context_src2 = ((name_con, NCic.Decl src2) :: context) in
851 (* contravariant part: the argument of f:src->ty *)
852 let metasenv, subst, rel1, _ =
853 try_coercions status ~localise metasenv subst context_src2
854 (NCic.Rel 1) orig_t (NCicSubstitution.lift status 1 src2)
855 (`Type (NCicSubstitution.lift status 1 src)) exc
857 (* covariant part: the result of f(c x); x:src2; (c x):src *)
860 | NCic.Lambda (n,_,bo) -> n, cs_subst rel1 (NCicSubstitution.lift_from status 2 1 bo)
861 | _ -> name_con, NCicUntrusted.mk_appl (NCicSubstitution.lift status 1 t) [rel1]
863 (* we fix the possible dependency problem in the source ty *)
864 let ty = cs_subst rel1 (NCicSubstitution.lift_from status 2 1 ty) in
865 let metasenv, subst, bo, _ =
866 try_coercions status ~localise metasenv subst context_src2
867 bo orig_t ty (`Type ty2) exc
869 let coerced = NCic.Lambda (name_t,src2, bo) in
870 pp (lazy ("LAM: coerced = " ^ status#ppterm ~metasenv ~subst ~context coerced));
871 metasenv, subst, coerced, expty (*}}}*)
879 (match NCicEnvironment.get_universes () with
881 | _ -> assert false))
882 | `Prod -> NCic.Prod ("_",NCic.Implicit `Type,NCic.Implicit `Type)
884 pp(lazy("try_coercion " ^
885 status#ppterm ~metasenv ~subst ~context infty ^ " |---> " ^
886 status#ppterm ~metasenv ~subst ~context expty));
888 (NCicCoercion.look_for_coercion
889 status metasenv subst context infty expty)
891 and force_to_sort status metasenv subst context t orig_t localise ty =
893 let metasenv, subst, ty =
894 NCicUnification.sortfy status (Failure "sortfy") metasenv subst context ty in
895 metasenv, subst, t, ty
898 let ty = NCicReduction.whd status ~subst context ty in
899 try_coercions status ~localise metasenv subst context
901 (Uncertain (lazy (localise orig_t,
902 "The type of " ^ status#ppterm ~metasenv ~subst ~context t ^
903 " is not a sort: " ^ status#ppterm ~metasenv ~subst ~context ty)))
905 and sort_of_prod status localise metasenv subst context orig_s orig_t (name,s)
908 (* force to sort is done in the Prod case in typeof *)
910 | C.Sort _, C.Sort C.Prop -> metasenv, subst, s, t, t2
911 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
912 metasenv, subst, s, t, C.Sort (C.Type (NCicEnvironment.max u1 u2))
913 | C.Sort C.Prop,C.Sort (C.Type _) -> metasenv, subst, s, t, t2
915 | C.Meta _, C.Meta (_,(_,_))
916 | C.Sort _, C.Meta (_,(_,_)) -> metasenv, subst, s, t, t2
917 | x, (C.Sort _ | C.Meta _) | _, x ->
918 let y, context, orig =
919 if x == t1 then s, context, orig_s
920 else t, ((name,C.Decl s)::context), orig_t
922 raise (RefineFailure (lazy (localise orig,Printf.sprintf
923 "%s is expected to be a type, but its type is %s that is not a sort"
924 (status#ppterm ~subst ~metasenv ~context y)
925 (status#ppterm ~subst ~metasenv ~context x))))
927 and guess_name status subst ctx ty =
928 let aux initial = "#" ^ String.make 1 initial in
930 | C.Const (NReference.Ref (u,_))
931 | C.Appl (C.Const (NReference.Ref (u,_)) :: _) ->
932 aux (String.sub (NUri.name_of_uri u) 0 1).[0]
933 | C.Prod _ -> aux 'f'
936 let _,_,t,_ = NCicUtils.lookup_subst n subst in
937 guess_name status subst ctx (NCicSubstitution.subst_meta status lc t)
938 with NCicUtils.Subst_not_found _ -> aux 'M')
941 and eat_prods status ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args =
942 (*D*)inside 'E'; try let rc =
943 let rec aux metasenv subst args_so_far he ty_he xxx =
944 (*D*)inside 'V'; try let rc =
947 let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in
948 pp(lazy("FORCE FINAL APPL: " ^
949 status#ppterm ~metasenv ~subst ~context res ^
950 " of type " ^ status#ppterm ~metasenv ~subst ~context ty_he
951 ^ " to type " ^ match expty with None -> "None" | Some x ->
952 status#ppterm ~metasenv ~subst ~context x));
953 (* whatever the term is, we force the type. in case of ((Lambda..) ?...)
954 * the application may also be a lambda! *)
955 force_ty false false metasenv subst context orig_t res ty_he expty
956 | NCic.Implicit `Vector::tl ->
957 let has_some_more_pis x =
958 match NCicReduction.whd status ~subst context x with
959 | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false
963 aux metasenv subst args_so_far he ty_he tl
966 | RefineFailure _ as exc when has_some_more_pis ty_he ->
968 aux metasenv subst args_so_far he ty_he
969 (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl)
971 Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc))
972 | RefineFailure msg when not (has_some_more_pis ty_he) ->
973 (* instantiating the head could change the has_some_more_pis flag *)
974 raise (Uncertain msg))
976 match NCicReduction.whd status ~subst context ty_he with
978 let metasenv, subst, arg, _ =
979 typeof status ~localise metasenv subst context arg (Some s) in
980 let t = NCicSubstitution.subst status ~avoid_beta_redexes:true arg t in
981 aux metasenv subst (arg :: args_so_far) he t tl
983 | C.Appl (C.Meta _ :: _) as t ->
984 let metasenv, subst, arg, ty_arg =
985 typeof status ~localise metasenv subst context arg None in
986 let name = guess_name status subst context ty_arg in
987 let metasenv, _, meta, _ =
988 NCicMetaSubst.mk_meta metasenv
989 ((name,C.Decl ty_arg) :: context) `IsType
991 let flex_prod = C.Prod (name, ty_arg, meta) in
992 (* next line grants that ty_args is a type *)
993 let metasenv,subst, flex_prod, _ =
994 typeof status ~localise metasenv subst context flex_prod None in
996 pp (lazy ( "UNIFICATION in CTX:\n"^
997 status#ppcontext ~metasenv ~subst context
999 status#ppterm ~metasenv ~subst ~context t ^ " === " ^
1000 status#ppterm ~metasenv ~subst ~context flex_prod ^ "\n"));
1002 let metasenv, subst =
1003 try NCicUnification.unify status metasenv subst context t flex_prod
1004 with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf
1005 ("The term %s has an inferred type %s, but is applied to the" ^^
1006 " argument %s of type %s")
1007 (status#ppterm ~metasenv ~subst ~context he)
1008 (status#ppterm ~metasenv ~subst ~context t)
1009 (status#ppterm ~metasenv ~subst ~context arg)
1010 (status#ppterm ~metasenv ~subst ~context ty_arg)))
1012 | NCicUnification.UnificationFailure m ->
1013 NCicUnification.Uncertain m
1015 (* XXX coerce to funclass *)
1017 let meta = NCicSubstitution.subst status ~avoid_beta_redexes:true arg meta in
1018 aux metasenv subst (arg :: args_so_far) he meta tl
1019 | C.Match (_,_,C.Meta _,_)
1020 | C.Match (_,_,C.Appl (C.Meta _ :: _),_)
1021 | C.Appl (C.Const (NReference.Ref (_, NReference.Fix _)) :: _) ->
1022 raise (Uncertain (lazy (localise orig_he, Printf.sprintf
1023 ("The term %s is here applied to %d arguments but expects " ^^
1024 "only %d arguments") (status#ppterm ~metasenv ~subst ~context he)
1025 (List.length args) (List.length args_so_far))))
1027 let metasenv, subst, newhead, newheadty =
1028 try_coercions status ~localise metasenv subst context
1029 (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty
1031 (RefineFailure (lazy (localise orig_he, Printf.sprintf
1032 ("The term %s is here applied to %d arguments but expects " ^^
1033 "only %d arguments") (status#ppterm ~metasenv ~subst ~context he)
1034 (List.length args) (List.length args_so_far))))
1036 aux metasenv subst [] newhead newheadty (arg :: tl)
1037 (*D*)in outside true; rc with exc -> outside false; raise exc
1039 (* We need to reverse the order of the new created metas since they
1040 are pushed on top of the metasenv in the wrong order *)
1041 let highest_meta = NCicMetaSubst.maxmeta () in
1042 let metasenv, subst, newhead, newheadty =
1043 aux metasenv subst [] he ty_he args in
1044 let metasenv_old,metasenv_new =
1045 List.partition (fun (i,_) -> i <= highest_meta) metasenv
1047 (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty
1048 (*D*)in outside true; rc with exc -> outside false; raise exc
1051 let rec first f l1 l2 =
1053 | x1::tl1, x2::tl2 ->
1054 (try f x1 x2 with Not_found -> first f tl1 tl2)
1055 | _ -> raise Not_found
1058 let rec find add dt t =
1063 | C.Meta (_,(_,C.Ctx dl)), C.Meta (_,(_,C.Ctx l))
1064 | C.Appl dl,C.Appl l -> dl,l
1065 | C.Lambda (_,ds,dt), C.Lambda (_,s,t)
1066 | C.Prod (_,ds,dt), C.Prod (_,s,t) -> [ds;dt],[s;t]
1067 | C.LetIn (_,ds,db,dt), C.LetIn (_,s,b,t) -> [ds;db;dt],[s;b;t]
1068 | C.Match (_,dot,dt,dl), C.Match (_,ot,t,l) -> (dot::dt::dl),(ot::t::l)
1069 | _ -> raise Not_found
1071 first (find add) dl l
1074 let relocalise old_localise dt t add =
1076 (try find add dt t with Not_found -> assert false)
1079 let undebruijnate status inductive ref t rev_fl =
1080 let len = List.length rev_fl in
1081 NCicSubstitution.psubst status (fun x -> x)
1083 (fun (_,_,rno,_,_,_) i ->
1084 let i = len - i - 1 in
1086 (if inductive then NReference.mk_fix i rno ref
1087 else NReference.mk_cofix i ref))
1094 status ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj)
1097 | C.Constant (relevance, name, bo, ty, attr) ->
1098 let metasenv, subst, ty =
1099 check_type status ~localise metasenv subst [] ty in
1100 let metasenv, subst, bo, ty, height =
1103 let metasenv, subst, bo, ty =
1104 typeof status ~localise metasenv subst [] bo (Some ty) in
1105 let height = (* XXX recalculate *) height in
1106 metasenv, subst, Some bo, ty, height
1107 | None -> metasenv, subst, None, ty, 0
1109 uri, height, metasenv, subst,
1110 C.Constant (relevance, name, bo, ty, attr)
1111 | C.Fixpoint (inductive, fl, attr) ->
1112 let len = List.length fl in
1113 let types, metasenv, subst, rev_fl =
1115 (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) ->
1116 let metasenv, subst, ty =
1117 check_type status ~localise metasenv subst [] ty in
1118 let dbo = NCicTypeChecker.debruijn status uri len [] ~subst bo in
1119 let localise = relocalise localise dbo bo in
1120 (name,C.Decl ty)::types,
1121 metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl
1122 ) ([], metasenv, subst, []) fl (* XXX kl rimosso nel nucleo *)
1124 let metasenv, subst, fl =
1126 (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) ->
1127 let metasenv, subst, dbo, ty =
1128 typeof status ~localise metasenv subst types dbo (Some ty)
1130 metasenv, subst, (relevance,name,k,ty,dbo)::fl)
1131 (metasenv, subst, []) rev_fl
1133 let height = (* XXX recalculate *) height in
1136 (fun (relevance,name,k,ty,dbo) ->
1138 undebruijnate status inductive
1139 (NReference.reference_of_spec uri
1140 (if inductive then NReference.Fix (0,k,0)
1141 else NReference.CoFix 0)) dbo rev_fl
1143 relevance,name,k,ty,bo)
1146 uri, height, metasenv, subst,
1147 C.Fixpoint (inductive, fl, attr)
1148 | C.Inductive (ind, leftno, itl, attr) ->
1149 let len = List.length itl in
1150 let metasenv,subst,rev_itl,tys =
1152 (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) ->
1153 let metasenv, subst, ty =
1154 check_type status ~localise metasenv subst [] ty in
1155 metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx
1156 ) (metasenv,subst,[],[]) itl in
1157 let metasenv,subst,itl,_ =
1159 (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) ->
1160 let context,ty_sort = NCicReduction.split_prods status ~subst [] ~-1 ty in
1161 let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in
1162 let metasenv,subst,cl =
1164 (fun (k_relev,n,te) (metasenv,subst,res) ->
1166 try snd (HExtlib.split_nth leftno k_relev)
1167 with Failure _ -> k_relev in
1168 let te = NCicTypeChecker.debruijn status uri len [] ~subst te in
1169 let metasenv, subst, te =
1170 check_type status ~localise metasenv subst tys te in
1171 let context,te = NCicReduction.split_prods status ~subst tys leftno te in
1172 let _,chopped_context_rev =
1173 HExtlib.split_nth (List.length tys) (List.rev context) in
1174 let sx_context_te_rev,_ =
1175 HExtlib.split_nth leftno chopped_context_rev in
1176 let metasenv,subst,_ =
1179 (fun (metasenv,subst,context) item1 item2 ->
1180 let (metasenv,subst),convertible =
1182 match item1,item2 with
1183 (n1,C.Decl ty1),(n2,C.Decl ty2) ->
1185 NCicUnification.unify status ~test_eq_only:true metasenv
1186 subst context ty1 ty2,true
1188 (metasenv,subst),false
1189 | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) ->
1191 let metasenv,subst =
1192 NCicUnification.unify status ~test_eq_only:true metasenv
1193 subst context ty1 ty2
1195 NCicUnification.unify status ~test_eq_only:true metasenv
1196 subst context bo1 bo2,true
1198 (metasenv,subst),false
1199 | _,_ -> (metasenv,subst),false
1201 | NCicUnification.Uncertain _
1202 | NCicUnification.UnificationFailure _ ->
1203 (metasenv,subst),false
1208 | _,C.Def (b,_) -> b in
1209 if not convertible then
1210 raise (RefineFailure (lazy (localise term2,
1211 ("Mismatch between the left parameters of the constructor " ^
1212 "and those of its inductive type"))))
1214 metasenv,subst,item1::context
1215 ) (metasenv,subst,tys) sx_context_ty_rev sx_context_te_rev
1216 with Invalid_argument "List.fold_left2" -> assert false in
1217 let metasenv, subst =
1218 let rec aux context (metasenv,subst) = function
1219 | NCic.Meta _ -> metasenv, subst
1220 | NCic.Implicit _ -> metasenv, subst
1221 | NCic.Appl (NCic.Rel i :: args) as t
1222 when i > List.length context - len ->
1223 let lefts, _ = HExtlib.split_nth leftno args in
1224 let ctxlen = List.length context in
1225 let (metasenv, subst), _ =
1227 (fun ((metasenv, subst),l) arg ->
1228 NCicUnification.unify status
1229 ~test_eq_only:true metasenv subst context arg
1230 (NCic.Rel (ctxlen - len - l)), l+1
1232 ((metasenv, subst), 0) lefts
1235 | t -> NCicUtils.fold (fun e c -> e::c) context aux
1238 aux context (metasenv,subst) te
1240 let con_sort= NCicTypeChecker.typeof status ~subst ~metasenv context te in
1242 NCicReduction.whd status ~subst context con_sort,
1243 NCicReduction.whd status ~subst [] ty_sort
1245 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
1246 if not (NCicEnvironment.universe_leq u1 u2) then
1249 (lazy(localise te, "The type " ^
1250 status#ppterm ~metasenv ~subst ~context s1 ^
1251 " of the constructor is not included in the inductive"^
1253 status#ppterm ~metasenv ~subst ~context s2)))
1254 | C.Sort _, C.Sort C.Prop
1255 | C.Sort _, C.Sort C.Type _ -> ()
1260 "Wrong constructor or inductive arity shape"))));
1261 (* let's check also the positivity conditions *)
1264 (NCicTypeChecker.are_all_occurrences_positive status
1265 ~subst context uri leftno (i+leftno) leftno (len+leftno) te)
1270 "Non positive occurence in " ^
1271 status#ppterm ~metasenv ~subst ~context te)))
1273 let relsno = List.length itl + leftno in
1275 NCicSubstitution.psubst status
1280 NCic.Const (NReference.reference_of_spec uri
1281 (NReference.Ind (ind,relsno - i,leftno))))
1282 (HExtlib.list_seq 1 (relsno+1))
1286 (fun (name,decl) te ->
1288 NCic.Decl ty -> NCic.Prod (name,ty,te)
1289 | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te)
1290 ) sx_context_te_rev te
1292 metasenv,subst,(k_relev,n,te)::res
1293 ) cl (metasenv,subst,[])
1295 metasenv,subst,(it_relev,n,ty,cl)::res,i+1
1296 ) (metasenv,subst,[],1) rev_itl
1298 uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr)
1301 (* vim:set foldmethod=marker: *)