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_______________________________________________________________ *)
15 module Ref = NReference
16 module R = NCicReduction
17 module S = NCicSubstitution
19 module E = NCicEnvironment
22 exception TypeCheckerFailure of string Lazy.t
23 exception AssertFailure of string Lazy.t
27 | TypeCheckerFailure s as e -> prerr_endline (Lazy.force s); raise e
33 | Evil of int (* rno *)
34 | UnfFix of bool list (* fixed arguments *)
38 let is_dangerous i l =
39 List.exists (function (j,Evil _) when j=i -> true | _ -> false) l
43 List.exists (function (j,UnfFix _) when j=i -> true | _ -> false) l
47 List.exists (function (j,Safe) when j=i -> true | _ -> false) l
51 try match List.assoc i l with Evil rno -> rno | _ -> assert false
52 with Not_found -> assert false
55 let get_fixed_args i l =
56 try match List.assoc i l with UnfFix fa -> fa | _ -> assert false
57 with Not_found -> assert false
60 let shift_k e (c,rf,x) = e::c,List.map (fun (k,v) -> k+1,v) rf,x+1;;
63 let string_of_recfuns ~subst ~metasenv ~context l =
64 let pp = PP.ppterm ~subst ~metasenv ~context in
65 let safe, rest = List.partition (function (_,Safe) -> true | _ -> false) l in
66 let dang,unf = List.partition (function (_,UnfFix _)-> false | _->true)rest in
67 "\n\tsafes: "^String.concat "," (List.map (fun (i,_)->pp (C.Rel i)) safe) ^
68 "\n\tfix : "^String.concat ","
70 (function (i,UnfFix l)-> pp(C.Rel i)^"/"^String.concat "," (List.map
72 | _ ->assert false) unf) ^
73 "\n\trec : "^String.concat ","
75 (function (i,Evil rno)->pp(C.Rel i)^"/"^string_of_int rno
76 | _ -> assert false) dang)
80 let fixed_args bos j n nn =
81 let rec aux k acc = function
82 | C.Appl (C.Rel i::args) when i-k > n && i-k <= nn ->
83 let rec combine l1 l2 =
86 | he1::tl1, he2::tl2 -> (he1,he2)::combine tl1 tl2
87 | _::tl, [] -> (false,C.Rel ~-1)::combine tl [] (* dummy term *)
88 | [],_::_ -> assert false
90 let lefts, _ = HExtlib.split_nth (min j (List.length args)) args in
91 List.map (fun ((b,x),i) -> b && x = C.Rel (k-i))
92 (HExtlib.list_mapi (fun x i -> x,i) (combine acc lefts))
93 | t -> U.fold (fun _ k -> k+1) k aux acc t
95 List.fold_left (aux 0)
96 (let rec f = function 0 -> [] | n -> true :: f (n-1) in f j) bos
99 let debruijn uri number_of_types ~subst context =
100 (* manca la subst! *)
103 | C.Meta (i,(s,l)) ->
105 let _,_,term,_ = U.lookup_subst i subst in
106 let ts = S.subst_meta (0,l) term in
107 let ts' = aux (k-s) ts in
108 if ts == ts' then t else ts'
109 with U.Subst_not_found _ ->
112 let l1 = HExtlib.sharing_map (aux (k-s)) l in
113 if l1 == l then t else C.Meta (i,(s,C.Ctx l1))
115 | C.Const (Ref.Ref (uri1,(Ref.Fix (no,_,_) | Ref.CoFix no)))
116 | C.Const (Ref.Ref (uri1,Ref.Ind (_,no,_))) when NUri.eq uri uri1 ->
117 C.Rel (k + number_of_types - no)
118 | t -> U.map (fun _ k -> k+1) k aux t
120 aux (List.length context)
123 let sort_of_prod ~metasenv ~subst context (name,s) t (t1, t2) =
124 let t1 = R.whd ~subst context t1 in
125 let t2 = R.whd ~subst ((name,C.Decl s)::context) t2 in
127 | C.Sort _, C.Sort C.Prop -> t2
128 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
129 C.Sort (C.Type (NCicEnvironment.max u1 u2))
130 | C.Sort C.Prop,C.Sort (C.Type _) -> t2
131 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Sort _ -> t2
132 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Meta (i,(_,(C.Irl 0 | C.Ctx [])))
133 | C.Sort _, C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) ->
134 NCic.Meta (i,(0, C.Irl 0))
135 | x, (C.Sort _ | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))))
138 if x == t1 then s, context else t, ((name,C.Decl s)::context)
140 raise (TypeCheckerFailure (lazy (Printf.sprintf
141 "%s is expected to be a type, but its type is %s that is not a sort"
142 (PP.ppterm ~subst ~metasenv ~context y)
143 (PP.ppterm ~subst ~metasenv ~context x))))
146 (* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
147 (* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
148 let rec instantiate_parameters params c =
151 | C.Prod (_,_,ta), he::tl -> instantiate_parameters tl (S.subst he ta)
152 | _,_ -> raise (AssertFailure (lazy "1"))
155 let specialize_inductive_type_constrs ~subst context ty_term =
156 match R.whd ~subst context ty_term with
157 | C.Const (Ref.Ref (_,Ref.Ind _) as ref)
158 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as ref) :: _ ) as ty ->
159 let args = match ty with C.Appl (_::tl) -> tl | _ -> [] in
160 let _, leftno, itl, _, i = E.get_checked_indtys ref in
161 let left_args,_ = HExtlib.split_nth leftno args in
162 let _,_,_,cl = List.nth itl i in
164 (fun (rel,name,ty) -> rel, name, instantiate_parameters left_args ty) cl
168 let specialize_and_abstract_constrs ~subst r_uri r_len context ty_term =
169 let cl = specialize_inductive_type_constrs ~subst context ty_term in
170 let len = List.length context in
172 match E.get_checked_obj r_uri with
173 | _,_,_,_, C.Inductive (_,_,tys,_) ->
174 context @ List.map (fun (_,name,arity,_) -> name,C.Decl arity) tys
178 List.map (fun (_,id,ty) -> id, debruijn r_uri r_len ~subst context ty) cl,
182 exception DoesOccur;;
184 let does_not_occur ~subst context n nn t =
185 let rec aux k _ = function
186 | C.Rel m when m > n+k && m <= nn+k -> raise DoesOccur
187 | C.Rel m when m <= k || m > nn+k -> ()
189 (try match List.nth context (m-1-k) with
190 | _,C.Def (bo,_) -> aux (n-m) () bo
192 with Failure _ -> assert false)
193 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))) -> (* closed meta *) ()
194 | C.Meta (mno,(s,l)) ->
196 (* possible optimization here: try does_not_occur on l and
197 perform substitution only if DoesOccur is raised *)
198 let _,_,term,_ = U.lookup_subst mno subst in
199 aux (k-s) () (S.subst_meta (0,l) term)
200 with U.Subst_not_found _ -> match l with
201 | C.Irl len -> if not (n+k >= s+len || s > nn+k) then raise DoesOccur
202 | C.Ctx lc -> List.iter (aux (k-s) ()) lc)
203 | t -> U.fold (fun _ k -> k + 1) k aux () t
206 with DoesOccur -> false
209 let rec eat_lambdas ~subst ~metasenv context n te =
210 match (n, R.whd ~subst context te) with
211 | (0, _) -> (te, context)
212 | (n, C.Lambda (name,so,ta)) when n > 0 ->
213 eat_lambdas ~subst ~metasenv ((name,(C.Decl so))::context) (n - 1) ta
215 raise (AssertFailure (lazy (Printf.sprintf "eat_lambdas (%d, %s)" n
216 (PP.ppterm ~subst ~metasenv ~context te))))
219 let rec eat_or_subst_lambdas
220 ~subst ~metasenv n te to_be_subst args (context,_,_ as k)
222 match n, R.whd ~subst context te, to_be_subst, args with
223 | (n, C.Lambda (_,_,ta),true::to_be_subst,arg::args) when n > 0 ->
224 eat_or_subst_lambdas ~subst ~metasenv (n - 1) (S.subst arg ta)
226 | (n, C.Lambda (name,so,ta),false::to_be_subst,_::args) when n > 0 ->
227 eat_or_subst_lambdas ~subst ~metasenv (n - 1) ta to_be_subst args
228 (shift_k (name,(C.Decl so)) k)
229 | (_, te, _, _) -> te, k
232 let check_homogeneous_call ~subst context indparamsno n uri reduct tl =
238 match R.whd ~subst context x with
239 | C.Rel m when m = n - (indparamsno - k) -> k - 1
240 | _ -> raise (TypeCheckerFailure (lazy
241 ("Argument "^string_of_int (indparamsno - k + 1) ^ " (of " ^
242 string_of_int indparamsno ^ " fixed) is not homogeneous in "^
243 "appl:\n"^ PP.ppterm ~context ~subst ~metasenv:[] reduct))))
247 raise (TypeCheckerFailure
248 (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
249 NUri.string_of_uri uri)))
252 (* Inductive types being checked for positivity have *)
253 (* indexes x s.t. n < x <= nn. *)
254 let rec weakly_positive ~subst context n nn uri indparamsno posuri te =
255 (*CSC: Not very nice. *)
256 let dummy = C.Sort C.Prop in
257 (*CSC: to be moved in cicSubstitution? *)
258 let rec subst_inductive_type_with_dummy _ = function
259 | C.Const (Ref.Ref (uri',Ref.Ind (true,0,_))) when NUri.eq uri' uri -> dummy
260 | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind (true,0,lno))))::tl)
261 when NUri.eq uri' uri ->
262 let _, rargs = HExtlib.split_nth lno tl in
263 if rargs = [] then dummy else C.Appl (dummy :: rargs)
264 | t -> U.map (fun _ x->x) () subst_inductive_type_with_dummy t
266 (* this function has the same semantics of are_all_occurrences_positive
267 but the i-th context entry role is played by dummy and some checks
268 are skipped because we already know that are_all_occurrences_positive
270 let rec aux context n nn te =
271 match R.whd ~subst context te with
272 | t when t = dummy -> true
273 | C.Appl (te::rargs) when te = dummy ->
274 List.for_all (does_not_occur ~subst context n nn) rargs
275 | C.Prod (name,source,dest) when
276 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
277 (* dummy abstraction, so we behave as in the anonimous case *)
278 strictly_positive ~subst context n nn indparamsno posuri source &&
279 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
280 | C.Prod (name,source,dest) ->
281 does_not_occur ~subst context n nn source &&
282 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
284 raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
286 aux context n nn (subst_inductive_type_with_dummy () te)
288 and strictly_positive ~subst context n nn indparamsno posuri te =
289 match R.whd ~subst context te with
290 | t when does_not_occur ~subst context n nn t -> true
291 | C.Rel _ when indparamsno = 0 -> true
292 | C.Appl ((C.Rel m)::tl) as reduct when m > n && m <= nn ->
293 check_homogeneous_call ~subst context indparamsno n posuri reduct tl;
294 List.for_all (does_not_occur ~subst context n nn) tl
295 | C.Prod (name,so,ta) ->
296 does_not_occur ~subst context n nn so &&
297 strictly_positive ~subst ((name,C.Decl so)::context) (n+1) (nn+1)
298 indparamsno posuri ta
299 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as r)::tl) ->
300 let _,paramsno,tyl,_,i = E.get_checked_indtys r in
301 let _,name,ity,cl = List.nth tyl i in
302 let ok = List.length tyl = 1 in
303 let params, arguments = HExtlib.split_nth paramsno tl in
304 let lifted_params = List.map (S.lift 1) params in
306 List.map (fun (_,_,te) -> instantiate_parameters lifted_params te) cl
309 List.for_all (does_not_occur ~subst context n nn) arguments &&
311 (weakly_positive ~subst ((name,C.Decl ity)::context) (n+1) (nn+1)
312 uri indparamsno posuri) cl
315 (* the inductive type indexes are s.t. n < x <= nn *)
316 and are_all_occurrences_positive ~subst context uri indparamsno i n nn te =
317 match R.whd ~subst context te with
318 | C.Appl ((C.Rel m)::tl) as reduct when m = i ->
319 check_homogeneous_call ~subst context indparamsno n uri reduct tl;
320 List.for_all (does_not_occur ~subst context n nn) tl
321 | C.Rel m when m = i ->
322 if indparamsno = 0 then
325 raise (TypeCheckerFailure
326 (lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
327 NUri.string_of_uri uri)))
328 | C.Prod (name,source,dest) when
329 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
330 strictly_positive ~subst context n nn indparamsno uri source &&
331 are_all_occurrences_positive ~subst
332 ((name,C.Decl source)::context) uri indparamsno
333 (i+1) (n + 1) (nn + 1) dest
334 | C.Prod (name,source,dest) ->
335 if not (does_not_occur ~subst context n nn source) then
336 raise (TypeCheckerFailure (lazy ("Non-positive occurrence in "^
337 PP.ppterm ~context ~metasenv:[] ~subst te)));
338 are_all_occurrences_positive ~subst ((name,C.Decl source)::context)
339 uri indparamsno (i+1) (n + 1) (nn + 1) dest
342 (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
343 (NUri.string_of_uri uri))))
346 exception NotGuarded of string Lazy.t;;
348 let type_of_branch ~subst context leftno outty cons tycons =
349 let rec aux liftno context cons tycons =
350 match R.whd ~subst context tycons with
351 | C.Const (Ref.Ref (_,Ref.Ind _)) -> C.Appl [S.lift liftno outty ; cons]
352 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _))::tl) ->
353 let _,arguments = HExtlib.split_nth leftno tl in
354 C.Appl (S.lift liftno outty::arguments@[cons])
355 | C.Prod (name,so,de) ->
357 match S.lift 1 cons with
358 | C.Appl l -> C.Appl (l@[C.Rel 1])
359 | t -> C.Appl [t ; C.Rel 1]
361 C.Prod (name,so, aux (liftno+1) ((name,(C.Decl so))::context) cons de)
362 | t -> raise (AssertFailure
363 (lazy ("type_of_branch, the contructor has type: " ^ NCicPp.ppterm
364 ~metasenv:[] ~context:[] ~subst:[] t)))
366 aux 0 context cons tycons
370 let rec typeof ~subst ~metasenv context term =
371 let rec typeof_aux context =
372 fun t -> (*prerr_endline (PP.ppterm ~metasenv ~subst ~context t);*)
376 match List.nth context (n - 1) with
377 | (_,C.Decl ty) -> S.lift n ty
378 | (_,C.Def (_,ty)) -> S.lift n ty
380 raise (TypeCheckerFailure (lazy ("unbound variable " ^ string_of_int n
381 ^" under: " ^ NCicPp.ppcontext ~metasenv ~subst context))))
382 | C.Sort (C.Type [false,u]) -> C.Sort (C.Type [true, u])
383 | C.Sort (C.Type _) ->
384 raise (AssertFailure (lazy ("Cannot type an inferred type: "^
385 NCicPp.ppterm ~subst ~metasenv ~context t)))
386 | C.Sort _ -> C.Sort (C.Type NCicEnvironment.type0)
387 | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
388 | C.Meta (n,l) as t ->
389 let canonical_ctx,ty =
391 let _,c,_,ty = U.lookup_subst n subst in c,ty
392 with U.Subst_not_found _ -> try
393 let _,c,ty = U.lookup_meta n metasenv in c, ty
394 (* match ty with C.Implicit _ -> assert false | _ -> c,ty *)
395 with U.Meta_not_found _ ->
396 raise (AssertFailure (lazy (Printf.sprintf
397 "%s not found in:\n%s" (PP.ppterm ~subst ~metasenv ~context t)
398 (PP.ppmetasenv ~subst metasenv)
401 check_metasenv_consistency t ~subst ~metasenv context canonical_ctx l;
403 | C.Const ref -> type_of_constant ref
404 | C.Prod (name,s,t) ->
405 let sort1 = typeof_aux context s in
406 let sort2 = typeof_aux ((name,(C.Decl s))::context) t in
407 sort_of_prod ~metasenv ~subst context (name,s) t (sort1,sort2)
408 | C.Lambda (n,s,t) ->
409 let sort = typeof_aux context s in
410 (match R.whd ~subst context sort with
411 | C.Meta _ | C.Sort _ -> ()
414 (TypeCheckerFailure (lazy (Printf.sprintf
415 ("Not well-typed lambda-abstraction: " ^^
416 "the source %s should be a type; instead it is a term " ^^
417 "of type %s") (PP.ppterm ~subst ~metasenv ~context s)
418 (PP.ppterm ~subst ~metasenv ~context sort)))));
419 let ty = typeof_aux ((n,(C.Decl s))::context) t in
421 | C.LetIn (n,ty,t,bo) ->
422 let ty_t = typeof_aux context t in
423 let _ = typeof_aux context ty in
424 if not (R.are_convertible ~metasenv ~subst context ty_t ty) then
427 (lazy (Printf.sprintf
428 "The type of %s is %s but it is expected to be %s"
429 (PP.ppterm ~subst ~metasenv ~context t)
430 (PP.ppterm ~subst ~metasenv ~context ty_t)
431 (PP.ppterm ~subst ~metasenv ~context ty))))
433 let ty_bo = typeof_aux ((n,C.Def (t,ty))::context) bo in
434 S.subst ~avoid_beta_redexes:true t ty_bo
435 | C.Appl (he::(_::_ as args)) ->
436 let ty_he = typeof_aux context he in
437 let args_with_ty = List.map (fun t -> t, typeof_aux context t) args in
438 eat_prods ~subst ~metasenv context he ty_he args_with_ty
439 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
440 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,outtype,term,pl) ->
441 let outsort = typeof_aux context outtype in
442 let _,leftno,itl,_,_ = E.get_checked_indtys r in
444 let _,_,_,cl = List.nth itl tyno in List.length cl
446 let parameters, arguments =
447 let ty = R.whd ~subst context (typeof_aux context term) in
450 C.Const (Ref.Ref (_,Ref.Ind _) as r') -> r',[]
451 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as r') :: tl) -> r',tl
454 (TypeCheckerFailure (lazy (Printf.sprintf
455 "Case analysis: analysed term %s is not an inductive one"
456 (PP.ppterm ~subst ~metasenv ~context term)))) in
457 if not (Ref.eq r r') then
459 (TypeCheckerFailure (lazy (Printf.sprintf
460 ("Case analysys: analysed term type is %s, but is expected " ^^
461 "to be (an application of) %s")
462 (PP.ppterm ~subst ~metasenv ~context ty)
463 (PP.ppterm ~subst ~metasenv ~context (C.Const r')))))
465 try HExtlib.split_nth leftno tl
468 raise (TypeCheckerFailure (lazy (Printf.sprintf
469 "%s is partially applied"
470 (PP.ppterm ~subst ~metasenv ~context ty)))) in
471 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
472 let sort_of_ind_type =
473 if parameters = [] then C.Const r
474 else C.Appl ((C.Const r)::parameters) in
475 let type_of_sort_of_ind_ty = typeof_aux context sort_of_ind_type in
476 check_allowed_sort_elimination ~subst ~metasenv r context
477 sort_of_ind_type type_of_sort_of_ind_ty outsort;
478 (* let's check if the type of branches are right *)
479 if List.length pl <> constructorsno then
480 raise (TypeCheckerFailure (lazy ("Wrong number of cases in a match")));
481 let j,branches_ok,p_ty, exp_p_ty =
483 (fun (j,b,old_p_ty,old_exp_p_ty) p ->
486 let cons = Ref.mk_constructor j r in
487 if parameters = [] then C.Const cons
488 else C.Appl (C.Const cons::parameters)
490 let ty_p = typeof_aux context p in
491 let ty_cons = typeof_aux context cons in
493 type_of_branch ~subst context leftno outtype cons ty_cons
495 j+1, R.are_convertible ~metasenv ~subst context ty_p ty_branch,
498 j,false,old_p_ty,old_exp_p_ty
499 ) (1,true,C.Sort C.Prop,C.Sort C.Prop) pl
501 if not branches_ok then
504 (lazy (Printf.sprintf ("Branch for constructor %s :=\n%s\n"^^
505 "has type %s\nnot convertible with %s")
506 (PP.ppterm ~subst ~metasenv ~context
507 (C.Const (Ref.mk_constructor (j-1) r)))
508 (PP.ppterm ~metasenv ~subst ~context (List.nth pl (j-2)))
509 (PP.ppterm ~metasenv ~subst ~context p_ty)
510 (PP.ppterm ~metasenv ~subst ~context exp_p_ty))));
511 let res = outtype::arguments@[term] in
512 R.head_beta_reduce (C.Appl res)
513 | C.Match _ -> assert false
515 (* check_metasenv_consistency checks that the "canonical" context of a
516 metavariable is consitent - up to relocation via the relocation list l -
517 with the actual context *)
518 and check_metasenv_consistency
519 ~subst ~metasenv term context canonical_context l
523 let context = snd (HExtlib.split_nth shift context) in
524 let rec compare = function
528 raise (AssertFailure (lazy (Printf.sprintf
529 "(2) Local and canonical context %s have different lengths"
530 (PP.ppterm ~subst ~context ~metasenv term))))
532 raise (TypeCheckerFailure (lazy (Printf.sprintf
533 "Unbound variable -%d in %s" m
534 (PP.ppterm ~subst ~metasenv ~context term))))
537 (_,C.Decl t1), (_,C.Decl t2)
538 | (_,C.Def (t1,_)), (_,C.Def (t2,_))
539 | (_,C.Def (_,t1)), (_,C.Decl t2) ->
540 if not (R.are_convertible ~metasenv ~subst tl t1 t2) then
543 (lazy (Printf.sprintf
544 ("Not well typed metavariable local context for %s: " ^^
545 "%s expected, which is not convertible with %s")
546 (PP.ppterm ~subst ~metasenv ~context term)
547 (PP.ppterm ~subst ~metasenv ~context t2)
548 (PP.ppterm ~subst ~metasenv ~context t1))))
551 (TypeCheckerFailure (lazy (Printf.sprintf
552 ("Not well typed metavariable local context for %s: " ^^
553 "a definition expected, but a declaration found")
554 (PP.ppterm ~subst ~metasenv ~context term)))));
555 compare (m - 1,tl,ctl)
557 compare (n,context,canonical_context)
559 (* we avoid useless lifting by shortening the context*)
560 let l,context = (0,lc_kind), snd (HExtlib.split_nth shift context) in
561 let lifted_canonical_context =
562 let rec lift_metas i = function
564 | (n,C.Decl t)::tl ->
565 (n,C.Decl (S.subst_meta l (S.lift i t)))::(lift_metas (i+1) tl)
566 | (n,C.Def (t,ty))::tl ->
567 (n,C.Def ((S.subst_meta l (S.lift i t)),
568 S.subst_meta l (S.lift i ty)))::(lift_metas (i+1) tl)
570 lift_metas 1 canonical_context in
571 let l = U.expand_local_context lc_kind in
576 | t, (_,C.Def (ct,_)) ->
577 (*CSC: the following optimization is to avoid a possibly expensive
578 reduction that can be easily avoided and that is quite
579 frequent. However, this is better handled using levels to
585 match List.nth context (n - 1) with
586 | (_,C.Def (te,_)) -> S.lift n te
591 if not (R.are_convertible ~metasenv ~subst context optimized_t ct)
595 (lazy (Printf.sprintf
596 ("Not well typed metavariable local context: " ^^
597 "expected a term convertible with %s, found %s")
598 (PP.ppterm ~subst ~metasenv ~context ct)
599 (PP.ppterm ~subst ~metasenv ~context t))))
600 | t, (_,C.Decl ct) ->
601 let type_t = typeof_aux context t in
602 if not (R.are_convertible ~metasenv ~subst context type_t ct) then
603 raise (TypeCheckerFailure
604 (lazy (Printf.sprintf
605 ("Not well typed metavariable local context: "^^
606 "expected a term of type %s, found %s of type %s")
607 (PP.ppterm ~subst ~metasenv ~context ct)
608 (PP.ppterm ~subst ~metasenv ~context t)
609 (PP.ppterm ~subst ~metasenv ~context type_t))))
610 ) l lifted_canonical_context
612 | Invalid_argument "List.iter2" ->
613 raise (AssertFailure (lazy (Printf.sprintf
614 "(1) Local and canonical context %s have different lengths"
615 (PP.ppterm ~subst ~metasenv ~context term))))
618 typeof_aux context term
620 and check_allowed_sort_elimination ~subst ~metasenv r =
623 | C.Appl l -> C.Appl (l @ [arg])
624 | t -> C.Appl [t;arg] in
625 let rec aux context ind arity1 arity2 =
626 let arity1 = R.whd ~subst context arity1 in
627 let arity2 = R.whd ~subst context arity2 in
628 match arity1,arity2 with
629 | C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
630 if not (R.are_convertible ~metasenv ~subst context so1 so2) then
631 raise (TypeCheckerFailure (lazy (Printf.sprintf
632 "In outtype: expected %s, found %s"
633 (PP.ppterm ~subst ~metasenv ~context so1)
634 (PP.ppterm ~subst ~metasenv ~context so2)
636 aux ((name, C.Decl so1)::context)
637 (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
638 | C.Sort _, C.Prod (name,so,ta) ->
639 if not (R.are_convertible ~metasenv ~subst context so ind) then
640 raise (TypeCheckerFailure (lazy (Printf.sprintf
641 "In outtype: expected %s, found %s"
642 (PP.ppterm ~subst ~metasenv ~context ind)
643 (PP.ppterm ~subst ~metasenv ~context so)
645 (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with
646 | (C.Sort C.Type _, C.Sort _)
647 | (C.Sort C.Prop, C.Sort C.Prop) -> ()
648 | (C.Sort C.Prop, C.Sort C.Type _) ->
649 (* TODO: we should pass all these parameters since we
650 * have them already *)
651 let _,leftno,itl,_,i = E.get_checked_indtys r in
652 let itl_len = List.length itl in
653 let _,itname,ittype,cl = List.nth itl i in
654 let cl_len = List.length cl in
655 (* is it a singleton, non recursive and non informative
656 definition or an empty one? *)
659 (itl_len = 1 && cl_len = 1 &&
660 let _,_,constrty = List.hd cl in
661 is_non_recursive_singleton
662 ~subst r itname ittype constrty &&
663 is_non_informative ~metasenv ~subst leftno constrty))
665 raise (TypeCheckerFailure (lazy
666 ("Sort elimination not allowed")));
672 and eat_prods ~subst ~metasenv context he ty_he args_with_ty =
673 let rec aux ty_he = function
675 | (arg, ty_arg)::tl ->
676 match R.whd ~subst context ty_he with
678 if R.are_convertible ~metasenv ~subst context ty_arg s then
679 aux (S.subst ~avoid_beta_redexes:true arg t) tl
683 (lazy (Printf.sprintf
684 ("Appl: wrong application of %s: the argument %s has type"^^
685 "\n%s\nbut it should have type \n%s\nContext:\n%s\n")
686 (PP.ppterm ~subst ~metasenv ~context he)
687 (PP.ppterm ~subst ~metasenv ~context arg)
688 (PP.ppterm ~subst ~metasenv ~context ty_arg)
689 (PP.ppterm ~subst ~metasenv ~context s)
690 (PP.ppcontext ~subst ~metasenv context))))
694 (lazy (Printf.sprintf
695 "Appl: %s is not a function, it cannot be applied"
696 (PP.ppterm ~subst ~metasenv ~context
697 (let res = List.length tl in
698 let eaten = List.length args_with_ty - res in
701 (fst (HExtlib.split_nth eaten args_with_ty)))))))))
703 aux ty_he args_with_ty
705 and is_non_recursive_singleton ~subst (Ref.Ref (uri,_)) iname ity cty =
706 let ctx = [iname, C.Decl ity] in
707 let cty = debruijn uri 1 [] ~subst cty in
708 let len = List.length ctx in
709 let rec aux ctx n nn t =
710 match R.whd ~subst ctx t with
711 | C.Prod (name, src, tgt) ->
712 does_not_occur ~subst ctx n nn src &&
713 aux ((name, C.Decl src) :: ctx) (n+1) (nn+1) tgt
714 | C.Rel k | C.Appl (C.Rel k :: _) when k = nn -> true
717 aux ctx (len-1) len cty
719 and is_non_informative ~metasenv ~subst paramsno c =
720 let rec aux context c =
721 match R.whd ~subst context c with
722 | C.Prod (n,so,de) ->
723 let s = typeof ~metasenv ~subst context so in
724 s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de
726 let context',dx = NCicReduction.split_prods ~subst [] paramsno c in
729 and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl =
730 (* let's check if the arity of the inductive types are well formed *)
731 List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl;
732 (* let's check if the types of the inductive constructors are well formed. *)
733 let len = List.length tyl in
734 let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in
737 (fun (it_relev,_,ty,cl) i ->
738 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
739 let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in
741 (fun (k_relev,_,te) ->
743 try snd (HExtlib.split_nth leftno k_relev)
744 with Failure _ -> k_relev in
745 let te = debruijn uri len [] ~subst te in
746 let context,te = NCicReduction.split_prods ~subst tys leftno te in
747 let _,chopped_context_rev =
748 HExtlib.split_nth (List.length tys) (List.rev context) in
749 let sx_context_te_rev,_ =
750 HExtlib.split_nth leftno chopped_context_rev in
752 ignore (List.fold_left2
753 (fun context item1 item2 ->
755 match item1,item2 with
756 (_,C.Decl ty1),(_,C.Decl ty2) ->
757 R.are_convertible ~metasenv ~subst context ty1 ty2
758 | (_,C.Def (bo1,ty1)),(_,C.Def (bo2,ty2)) ->
759 R.are_convertible ~metasenv ~subst context ty1 ty2 &&
760 R.are_convertible ~metasenv ~subst context bo1 bo2
763 if not convertible then
764 raise (TypeCheckerFailure (lazy
765 ("Mismatch between the left parameters of the constructor " ^
766 "and those of its inductive type")))
769 ) [] sx_context_ty_rev sx_context_te_rev)
770 with Invalid_argument "List.fold_left2" -> assert false);
771 let con_sort = typeof ~subst ~metasenv context te in
772 (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with
773 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
774 if not (E.universe_leq u1 u2) then
777 (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^
778 " of the constructor is not included in the inductive" ^
779 " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2)))
780 | C.Sort _, C.Sort C.Prop
781 | C.Sort _, C.Sort C.Type _ -> ()
785 (lazy ("Wrong constructor or inductive arity shape"))));
786 (* let's check also the positivity conditions *)
789 (are_all_occurrences_positive ~subst context uri leftno
790 (i+leftno) leftno (len+leftno) te)
794 (lazy ("Non positive occurence in "^NUri.string_of_uri
796 else check_relevance ~subst ~metasenv context k_relev te)
798 check_relevance ~subst ~metasenv [] it_relev ty;
802 and check_relevance ~subst ~metasenv context relevance ty =
803 let error context ty =
804 raise (TypeCheckerFailure
805 (lazy ("Wrong relevance declaration: " ^
806 String.concat "," (List.map string_of_bool relevance)^
807 "\nfor type: "^PP.ppterm ~metasenv ~subst ~context ty)))
809 let rec aux context relevance ty =
810 match R.whd ~subst context ty with
811 | C.Prod (name,so,de) ->
812 let sort = typeof ~subst ~metasenv context so in
813 (match (relevance,R.whd ~subst context sort) with
815 | false::tl,C.Sort C.Prop -> aux ((name,(C.Decl so))::context) tl de
816 | true::_,C.Sort C.Prop
818 | false::_,C.Meta _ -> error context ty
820 | true::tl,C.Meta _ -> aux ((name,(C.Decl so))::context) tl de
821 | _ -> raise (AssertFailure (lazy (Printf.sprintf
822 "Prod: the type %s of the source of %s is not a sort"
823 (PP.ppterm ~subst ~metasenv ~context sort)
824 (PP.ppterm ~subst ~metasenv ~context so)))))
825 | _ -> (match relevance with
827 | _::_ -> error context ty)
828 in aux context relevance ty
830 and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t =
831 let recursor f k t = U.fold shift_k k (fun k () -> f k) () t in
832 let rec aux (context, recfuns, x as k) t =
834 prerr_endline ("GB:\n" ^
835 PP.ppcontext ~subst ~metasenv context^
836 PP.ppterm ~metasenv ~subst ~context t^
837 string_of_recfuns ~subst ~metasenv ~context recfuns);
841 | C.Rel m as t when is_dangerous m recfuns ->
842 raise (NotGuarded (lazy
843 (PP.ppterm ~subst ~metasenv ~context t ^
844 " is a partial application of a fix")))
845 | C.Appl ((C.Rel m)::tl) as t when is_dangerous m recfuns ->
846 let rec_no = get_recno m recfuns in
847 if not (List.length tl > rec_no) then
848 raise (NotGuarded (lazy
849 (PP.ppterm ~context ~subst ~metasenv t ^
850 " is a partial application of a fix")))
852 let rec_arg = List.nth tl rec_no in
853 if not (is_really_smaller r_uri r_len ~subst ~metasenv k rec_arg) then
854 raise (NotGuarded (lazy (Printf.sprintf ("Recursive call %s, %s is not"
855 ^^ " smaller.\ncontext:\n%s") (PP.ppterm ~context ~subst ~metasenv
856 t) (PP.ppterm ~context ~subst ~metasenv rec_arg)
857 (PP.ppcontext ~subst ~metasenv context))));
859 | C.Appl ((C.Rel m)::tl) when is_unfolded m recfuns ->
860 let fixed_args = get_fixed_args m recfuns in
861 HExtlib.list_iter_default2
862 (fun x b -> if not b then aux k x) tl false fixed_args
864 (match List.nth context (m-1) with
866 | _,C.Def (bo,_) -> aux k (S.lift m bo))
868 | C.Appl (C.Const ((Ref.Ref (uri,Ref.Fix (i,recno,_))) as r)::args) ->
869 if List.exists (fun t -> try aux k t;false with NotGuarded _ -> true) args
871 let fl,_,_ = E.get_checked_fixes_or_cofixes r in
873 List.split (List.map (fun (_,name,_,ty,bo) -> (name, C.Decl ty), bo) fl)
875 let fl_len = List.length fl in
876 let bos = List.map (debruijn uri fl_len context ~subst) bos in
877 let j = List.fold_left min max_int (List.map (fun (_,_,i,_,_)->i) fl) in
878 let ctx_len = List.length context in
879 (* we may look for fixed params not only up to j ... *)
880 let fa = fixed_args bos j ctx_len (ctx_len + fl_len) in
881 HExtlib.list_iter_default2
882 (fun x b -> if not b then aux k x) args false fa;
883 let context = context@ctx_tys in
884 let ctx_len = List.length context in
886 HExtlib.list_mapi (fun _ i -> ctx_len - i, UnfFix fa) ctx_tys
888 let new_k = context, extra_recfuns@recfuns, x in
893 eat_or_subst_lambdas ~subst ~metasenv j bo fa args new_k
897 List.length args > recno &&
898 (*case where the recursive argument is already really_smaller *)
899 is_really_smaller r_uri r_len ~subst ~metasenv k
900 (List.nth args recno)
902 let bo,(context, _, _ as new_k) = bo_and_k in
904 eat_lambdas ~subst ~metasenv context (recno + 1 - j) bo in
905 let new_context_part,_ =
906 HExtlib.split_nth (List.length context' - List.length context)
908 let k = List.fold_right shift_k new_context_part new_k in
909 let context, recfuns, x = k in
910 let k = context, (1,Safe)::recfuns, x in
916 List.iter (fun (bo,k) -> aux k bo) bos_and_ks
917 | C.Match (Ref.Ref (_,Ref.Ind (true,_,_)),outtype,term,pl) as t ->
918 (match R.whd ~subst context term with
919 | C.Rel m | C.Appl (C.Rel m :: _ ) as t when is_safe m recfuns || m = x ->
920 let ty = typeof ~subst ~metasenv context term in
921 let dc_ctx, dcl, start, stop =
922 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
923 let args = match t with C.Appl (_::tl) -> tl | _ -> [] in
925 List.iter (aux k) args;
928 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
929 let p, k = get_new_safes ~subst k p rl in
932 | _ -> recursor aux k t)
933 | t -> recursor aux k t
935 NotGuarded _ as exc ->
936 let t' = R.whd ~delta:0 ~subst context t in
937 if t = t' then raise exc
940 try aux (context, recfuns, 1) t
941 with NotGuarded s -> raise (TypeCheckerFailure s)
943 and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn =
944 let rec aux context n nn h te =
945 match R.whd ~subst context te with
946 | C.Rel m when m > n && m <= nn -> h
947 | C.Rel _ | C.Meta _ -> true
951 | C.Const (Ref.Ref (_,Ref.Ind _))
952 | C.LetIn _ -> raise (AssertFailure (lazy "17"))
953 | C.Lambda (name,so,de) ->
954 does_not_occur ~subst context n nn so &&
955 aux ((name,C.Decl so)::context) (n + 1) (nn + 1) h de
956 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
957 h && List.for_all (does_not_occur ~subst context n nn) tl
958 | C.Const (Ref.Ref (_,Ref.Con _)) -> true
959 | C.Appl (C.Const (Ref.Ref (_, Ref.Con (_,j,paramsno))) :: tl) as t ->
960 let ty_t = typeof ~subst ~metasenv context t in
961 let dc_ctx, dcl, start, stop =
962 specialize_and_abstract_constrs ~subst indURI indlen context ty_t in
963 let _, dc = List.nth dcl (j-1) in
965 prerr_endline (PP.ppterm ~subst ~metasenv ~context:dc_ctx dc);
966 prerr_endline (PP.ppcontext ~subst ~metasenv dc_ctx);
968 let rec_params = recursive_args ~subst ~metasenv dc_ctx start stop dc in
969 let rec analyse_instantiated_type rec_spec args =
970 match rec_spec, args with
971 | h::rec_spec, he::args ->
972 aux context n nn h he && analyse_instantiated_type rec_spec args
974 | _ -> raise (AssertFailure (lazy
975 ("Too many args for constructor: " ^ String.concat " "
976 (List.map (fun x-> PP.ppterm ~subst ~metasenv ~context x) args))))
978 let _, args = HExtlib.split_nth paramsno tl in
979 analyse_instantiated_type rec_params args
980 | C.Appl ((C.Match (_,out,te,pl))::_)
981 | C.Match (_,out,te,pl) as t ->
982 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
983 List.for_all (does_not_occur ~subst context n nn) tl &&
984 does_not_occur ~subst context n nn out &&
985 does_not_occur ~subst context n nn te &&
986 List.for_all (aux context n nn h) pl
987 (* IMPOSSIBLE unsless we allow to pass cofix to other fix/cofix as we do for
988 higher order fix in g_b_destructors.
990 | C.Const (Ref.Ref (u,(Ref.Fix _| Ref.CoFix _)) as ref)
991 | C.Appl(C.Const (Ref.Ref(u,(Ref.Fix _| Ref.CoFix _)) as ref) :: _) as t ->
992 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
993 let fl,_,_ = E.get_checked_fixes_or_cofixes ref in
994 let len = List.length fl in
995 let tys = List.map (fun (_,n,_,ty,_) -> n, C.Decl ty) fl in
996 List.for_all (does_not_occur ~subst context n nn) tl &&
999 aux (context@tys) n nn h (debruijn u len context bo))
1003 | C.Appl _ as t -> does_not_occur ~subst context n nn t
1005 aux context 0 nn false t
1007 and recursive_args ~subst ~metasenv context n nn te =
1008 match R.whd ~subst context te with
1009 | C.Rel _ | C.Appl _ | C.Const _ -> []
1010 | C.Prod (name,so,de) ->
1011 (not (does_not_occur ~subst context n nn so)) ::
1012 (recursive_args ~subst ~metasenv
1013 ((name,(C.Decl so))::context) (n+1) (nn + 1) de)
1015 raise (AssertFailure (lazy ("recursive_args:" ^ PP.ppterm ~subst
1016 ~metasenv ~context:[] t)))
1018 and get_new_safes ~subst (context, recfuns, x as k) p rl =
1019 match R.whd ~subst context p, rl with
1020 | C.Lambda (name,so,ta), b::tl ->
1021 let recfuns = (if b then [0,Safe] else []) @ recfuns in
1022 get_new_safes ~subst
1023 (shift_k (name,(C.Decl so)) (context, recfuns, x)) ta tl
1024 | C.Meta _ as e, _ | e, [] -> e, k
1025 | _ -> raise (AssertFailure (lazy "Ill formed pattern"))
1027 and is_really_smaller
1028 r_uri r_len ~subst ~metasenv (context, recfuns, x as k) te
1030 match R.whd ~subst context te with
1031 | C.Rel m when is_safe m recfuns -> true
1032 | C.Lambda (name, s, t) ->
1033 is_really_smaller r_uri r_len ~subst ~metasenv (shift_k (name,C.Decl s) k) t
1035 is_really_smaller r_uri r_len ~subst ~metasenv k he
1037 | C.Const (Ref.Ref (_,Ref.Con _)) -> false
1039 | C.Const (Ref.Ref (_,Ref.Fix _)) -> assert false
1041 | C.Match (Ref.Ref (_,Ref.Ind (isinductive,_,_)),_,term,pl) ->
1043 | C.Rel m | C.Appl (C.Rel m :: _ ) when is_safe m recfuns || m = x ->
1044 if not isinductive then
1045 List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl
1047 let ty = typeof ~subst ~metasenv context term in
1048 let dc_ctx, dcl, start, stop =
1049 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
1052 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
1053 let e, k = get_new_safes ~subst k p rl in
1054 is_really_smaller r_uri r_len ~subst ~metasenv k e)
1056 | _ -> List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl)
1059 and returns_a_coinductive ~subst context ty =
1060 match R.whd ~subst context ty with
1061 | C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)
1062 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)::_) ->
1063 let _, _, itl, _, _ = E.get_checked_indtys ref in
1064 Some (uri,List.length itl)
1065 | C.Prod (n,so,de) ->
1066 returns_a_coinductive ~subst ((n,C.Decl so)::context) de
1069 and type_of_constant ((Ref.Ref (uri,_)) as ref) =
1071 raise (TypeCheckerFailure (lazy "Inconsistent cached infos in reference"))
1073 match E.get_checked_obj uri, ref with
1074 | (_,_,_,_,C.Inductive(isind1,lno1,tl,_)),Ref.Ref(_,Ref.Ind (isind2,i,lno2))->
1075 if isind1 <> isind2 || lno1 <> lno2 then error ();
1076 let _,_,arity,_ = List.nth tl i in arity
1077 | (_,_,_,_,C.Inductive (_,lno1,tl,_)), Ref.Ref (_,Ref.Con (i,j,lno2)) ->
1078 if lno1 <> lno2 then error ();
1079 let _,_,_,cl = List.nth tl i in
1080 let _,_,arity = List.nth cl (j-1) in
1082 | (_,_,_,_,C.Fixpoint (false,fl,_)), Ref.Ref (_,Ref.CoFix i) ->
1083 let _,_,_,arity,_ = List.nth fl i in
1085 | (_,h1,_,_,C.Fixpoint (true,fl,_)), Ref.Ref (_,Ref.Fix (i,recno2,h2)) ->
1086 let _,_,recno1,arity,_ = List.nth fl i in
1087 if h1 <> h2 || recno1 <> recno2 then error ();
1089 | (_,_,_,_,C.Constant (_,_,None,ty,_)), Ref.Ref (_,Ref.Decl) -> ty
1090 | (_,h1,_,_,C.Constant (_,_,Some _,ty,_)), Ref.Ref (_,Ref.Def h2) ->
1091 if h1 <> h2 then error ();
1094 raise (AssertFailure
1095 (lazy ("type_of_constant: environment/reference: " ^
1096 Ref.string_of_reference ref)))
1098 and get_relevance ~metasenv ~subst context t args =
1099 let ty = typeof ~subst ~metasenv context t in
1100 let rec aux context ty = function
1102 | arg::tl -> match R.whd ~subst context ty with
1103 | C.Prod (_,so,de) ->
1104 let sort = typeof ~subst ~metasenv context so in
1105 let new_ty = S.subst ~avoid_beta_redexes:true arg de in
1106 (*prerr_endline ("so: " ^ PP.ppterm ~subst ~metasenv:[]
1108 prerr_endline ("sort: " ^ PP.ppterm ~subst ~metasenv:[]
1110 (match R.whd ~subst context sort with
1112 false::(aux context new_ty tl)
1114 | C.Meta _ -> true::(aux context new_ty tl)
1115 | _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf
1116 "Prod: the type %s of the source of %s is not a sort"
1117 (PP.ppterm ~subst ~metasenv ~context sort)
1118 (PP.ppterm ~subst ~metasenv ~context so)))))
1122 (lazy (Printf.sprintf
1123 "Appl: %s is not a function, it cannot be applied"
1124 (PP.ppterm ~subst ~metasenv ~context
1125 (let res = List.length tl in
1126 let eaten = List.length args - res in
1129 (HExtlib.split_nth eaten args))))))))
1130 in aux context ty args
1133 let typecheck_context ~metasenv ~subst context =
1139 _,C.Decl t -> ignore (typeof ~metasenv ~subst:[] context t)
1140 | name,C.Def (te,ty) ->
1141 ignore (typeof ~metasenv ~subst:[] context ty);
1142 let ty' = typeof ~metasenv ~subst:[] context te in
1143 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1144 raise (AssertFailure (lazy (Printf.sprintf (
1145 "the type of the definiens for %s in the context is not "^^
1146 "convertible with the declared one.\n"^^
1147 "inferred type:\n%s\nexpected type:\n%s")
1148 name (PP.ppterm ~subst ~metasenv ~context ty')
1149 (PP.ppterm ~subst ~metasenv ~context ty))))
1155 let typecheck_metasenv metasenv =
1158 (fun metasenv (i,(_,context,ty) as conj) ->
1159 if List.mem_assoc i metasenv then
1160 raise (TypeCheckerFailure (lazy ("duplicate meta " ^ string_of_int i ^
1162 typecheck_context ~metasenv ~subst:[] context;
1163 ignore (typeof ~metasenv ~subst:[] context ty);
1168 let typecheck_subst ~metasenv subst =
1171 (fun subst (i,(_,context,ty,bo) as conj) ->
1172 if List.mem_assoc i subst then
1173 raise (AssertFailure (lazy ("duplicate meta " ^ string_of_int i ^
1174 " in substitution")));
1175 if List.mem_assoc i metasenv then
1176 raise (AssertFailure (lazy ("meta " ^ string_of_int i ^
1177 " is both in the metasenv and in the substitution")));
1178 typecheck_context ~metasenv ~subst context;
1179 ignore (typeof ~metasenv ~subst context ty);
1180 let ty' = typeof ~metasenv ~subst context bo in
1181 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1182 raise (AssertFailure (lazy (Printf.sprintf (
1183 "the type of the definiens for %d in the substitution is not "^^
1184 "convertible with the declared one.\n"^^
1185 "inferred type:\n%s\nexpected type:\n%s")
1187 (PP.ppterm ~subst ~metasenv ~context ty')
1188 (PP.ppterm ~subst ~metasenv ~context ty))));
1193 let height_of_term tl =
1195 let get_height (NReference.Ref (uri,_)) =
1196 let _,height,_,_,_ = NCicEnvironment.get_checked_obj uri in
1200 NCic.Meta (_,(_,NCic.Ctx l)) -> List.iter aux l
1204 | NCic.Implicit _ -> assert false
1205 | NCic.Const nref -> h := max !h (get_height nref)
1206 | NCic.Prod (_,t1,t2)
1207 | NCic.Lambda (_,t1,t2) -> aux t1; aux t2
1208 | NCic.LetIn (_,s,ty,t) -> aux s; aux ty; aux t
1209 | NCic.Appl l -> List.iter aux l
1210 | NCic.Match (_,outty,t,pl) -> aux outty; aux t; List.iter aux pl
1216 let height_of_obj_kind uri ~subst =
1219 | NCic.Constant (_,_,None,_,_)
1220 | NCic.Fixpoint (false,_,_) -> 0
1221 | NCic.Fixpoint (true,ifl,_) ->
1222 let iflno = List.length ifl in
1225 (fun l (_,_,_,ty,bo) ->
1226 let bo = debruijn uri iflno [] ~subst bo in
1229 | NCic.Constant (_,_,Some bo,ty,_) -> height_of_term [bo;ty]
1232 let typecheck_obj (uri,height,metasenv,subst,kind) =
1233 (*height must be checked since it is not only an optimization during reduction*)
1234 let iheight = height_of_obj_kind uri ~subst kind in
1235 if height <> iheight then
1236 raise (TypeCheckerFailure (lazy (Printf.sprintf
1237 "the declared object height (%d) is not the inferred one (%d)"
1239 typecheck_metasenv metasenv;
1240 typecheck_subst ~metasenv subst;
1242 | C.Constant (relevance,_,Some te,ty,_) ->
1243 let _ = typeof ~subst ~metasenv [] ty in
1244 let ty_te = typeof ~subst ~metasenv [] te in
1245 if not (R.are_convertible ~metasenv ~subst [] ty_te ty) then
1246 raise (TypeCheckerFailure (lazy (Printf.sprintf (
1247 "the type of the body is not convertible with the declared one.\n"^^
1248 "inferred type:\n%s\nexpected type:\n%s")
1249 (PP.ppterm ~subst ~metasenv ~context:[] ty_te)
1250 (PP.ppterm ~subst ~metasenv ~context:[] ty))));
1251 check_relevance ~subst ~metasenv [] relevance ty
1252 (*check_relevance ~in_type:false ~subst ~metasenv relevance te*)
1253 | C.Constant (relevance,_,None,ty,_) ->
1254 ignore (typeof ~subst ~metasenv [] ty);
1255 check_relevance ~subst ~metasenv [] relevance ty
1256 | C.Inductive (_, leftno, tyl, _) ->
1257 check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl
1258 | C.Fixpoint (inductive,fl,_) ->
1261 (fun (types,kl) (relevance,name,k,ty,_) ->
1262 let _ = typeof ~subst ~metasenv [] ty in
1263 check_relevance ~subst ~metasenv [] relevance ty;
1264 ((name,C.Decl ty)::types, k::kl)
1267 let len = List.length types in
1269 List.split (List.map2
1270 (fun (_,_,_,_,bo) rno ->
1271 let dbo = debruijn uri len [] ~subst bo in
1275 List.iter2 (fun (_,_,x,ty,_) bo ->
1276 let ty_bo = typeof ~subst ~metasenv types bo in
1277 if not (R.are_convertible ~metasenv ~subst types ty_bo ty)
1278 then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies")))
1280 if inductive then begin
1281 let m, context = eat_lambdas ~subst ~metasenv types (x + 1) bo in
1284 match List.hd context with _,C.Decl t -> t | _ -> assert false
1286 match R.whd ~subst (List.tl context) he with
1287 | C.Const (Ref.Ref (uri,Ref.Ind _) as ref)
1288 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as ref) :: _) ->
1289 let _,_,itl,_,_ = E.get_checked_indtys ref in
1290 uri, List.length itl
1293 (* guarded by destructors conditions D{f,k,x,M} *)
1294 let rec enum_from k =
1295 function [] -> [] | v::tl -> (k,v)::enum_from (k+1) tl
1297 guarded_by_destructors r_uri r_len
1298 ~subst ~metasenv context (enum_from (x+2) kl) m
1300 match returns_a_coinductive ~subst [] ty with
1302 raise (TypeCheckerFailure
1303 (lazy "CoFix: does not return a coinductive type"))
1304 | Some (r_uri, r_len) ->
1305 (* guarded by constructors conditions C{f,M} *)
1307 (guarded_by_constructors ~subst ~metasenv types bo r_uri r_len len)
1309 raise (TypeCheckerFailure
1310 (lazy "CoFix: not guarded by constructors"))
1316 let trust = ref (fun _ -> false);;
1317 let set_trust f = trust := f
1318 let trust_obj obj = !trust obj
1321 (* web interface stuff *)
1324 ref (function (`Start_type_checking _|`Type_checking_completed _|`Type_checking_interrupted _|`Type_checking_failed _|`Trust_obj _) -> ())
1327 let set_logger f = logger := f;;
1329 let typecheck_obj obj =
1330 let u,_,_,_,_ = obj in
1332 !logger (`Start_type_checking u);
1334 !logger (`Type_checking_completed u)
1337 !logger (`Type_checking_interrupted u);
1340 !logger (`Type_checking_failed u);
1346 if trust_obj obj then
1347 let u,_,_,_,_ = obj in
1348 !logger (`Trust_obj u)
1353 let _ = NCicReduction.set_get_relevance get_relevance;;
1356 let indent = ref 0;;
1359 let do_indent () = String.make !indent ' ' in
1361 | `Start_type_checking s ->
1363 prerr_endline (do_indent () ^ "Start: " ^ NUri.string_of_uri s);
1365 | `Type_checking_completed s ->
1368 prerr_endline (do_indent () ^ "End: " ^ NUri.string_of_uri s)
1369 | `Type_checking_interrupted s ->
1372 prerr_endline (do_indent () ^ "Break: " ^ NUri.string_of_uri s)
1373 | `Type_checking_failed s ->
1376 prerr_endline (do_indent () ^ "Fail: " ^ NUri.string_of_uri s)
1379 prerr_endline (do_indent () ^ "Trust: " ^ NUri.string_of_uri s))
1381 (* let _ = set_logger logger ;; *)