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 context =
102 | C.Meta (i,(s,C.Ctx l)) ->
103 let l1 = HExtlib.sharing_map (aux (k-s)) l in
104 if l1 == l then t else C.Meta (i,(s,C.Ctx l1))
106 | C.Const (Ref.Ref (uri1,(Ref.Fix (no,_,_) | Ref.CoFix no)))
107 | C.Const (Ref.Ref (uri1,Ref.Ind (_,no,_))) when NUri.eq uri uri1 ->
108 C.Rel (k + number_of_types - no)
109 | t -> U.map (fun _ k -> k+1) k aux t
111 aux (List.length context)
114 let sort_of_prod ~metasenv ~subst context (name,s) t (t1, t2) =
115 let t1 = R.whd ~subst context t1 in
116 let t2 = R.whd ~subst ((name,C.Decl s)::context) t2 in
118 | C.Sort _, C.Sort C.Prop -> t2
119 | C.Sort (C.Type u1), C.Sort (C.Type u2) ->
120 C.Sort (C.Type (NCicEnvironment.max u1 u2))
121 | C.Sort C.Prop,C.Sort (C.Type _) -> t2
122 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Sort _ -> t2
123 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))), C.Meta (i,(_,(C.Irl 0 | C.Ctx [])))
124 | C.Sort _, C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) ->
125 NCic.Meta (i,(0, C.Irl 0))
126 | x, (C.Sort _ | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))))
129 if x == t1 then s, context else t, ((name,C.Decl s)::context)
131 raise (TypeCheckerFailure (lazy (Printf.sprintf
132 "%s is expected to be a type, but its type is %s that is not a sort"
133 (PP.ppterm ~subst ~metasenv ~context y)
134 (PP.ppterm ~subst ~metasenv ~context x))))
137 (* instantiate_parameters ps (x1:T1)...(xn:Tn)C *)
138 (* returns ((x_|ps|:T_|ps|)...(xn:Tn)C){ps_1 / x1 ; ... ; ps_|ps| / x_|ps|} *)
139 let rec instantiate_parameters params c =
142 | C.Prod (_,_,ta), he::tl -> instantiate_parameters tl (S.subst he ta)
143 | _,_ -> raise (AssertFailure (lazy "1"))
146 let specialize_inductive_type_constrs ~subst context ty_term =
147 match R.whd ~subst context ty_term with
148 | C.Const (Ref.Ref (_,Ref.Ind _) as ref)
149 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as ref) :: _ ) as ty ->
150 let args = match ty with C.Appl (_::tl) -> tl | _ -> [] in
151 let _, leftno, itl, _, i = E.get_checked_indtys ref in
152 let left_args,_ = HExtlib.split_nth leftno args in
153 let _,_,_,cl = List.nth itl i in
155 (fun (rel,name,ty) -> rel, name, instantiate_parameters left_args ty) cl
159 let specialize_and_abstract_constrs ~subst r_uri r_len context ty_term =
160 let cl = specialize_inductive_type_constrs ~subst context ty_term in
161 let len = List.length context in
163 match E.get_checked_obj r_uri with
164 | _,_,_,_, C.Inductive (_,_,tys,_) ->
165 context @ List.map (fun (_,name,arity,_) -> name,C.Decl arity) tys
169 List.map (fun (_,id,ty) -> id, debruijn r_uri r_len context ty) cl,
173 exception DoesOccur;;
175 let does_not_occur ~subst context n nn t =
176 let rec aux k _ = function
177 | C.Rel m when m > n+k && m <= nn+k -> raise DoesOccur
178 | C.Rel m when m <= k || m > nn+k -> ()
180 (try match List.nth context (m-1-k) with
181 | _,C.Def (bo,_) -> aux (n-m) () bo
183 with Failure _ -> assert false)
184 | C.Meta (_,(_,(C.Irl 0 | C.Ctx []))) -> (* closed meta *) ()
185 | C.Meta (mno,(s,l)) ->
187 (* possible optimization here: try does_not_occur on l and
188 perform substitution only if DoesOccur is raised *)
189 let _,_,term,_ = U.lookup_subst mno subst in
190 aux (k-s) () (S.subst_meta (0,l) term)
191 with U.Subst_not_found _ -> match l with
192 | C.Irl len -> if not (n+k >= s+len || s > nn+k) then raise DoesOccur
193 | C.Ctx lc -> List.iter (aux (k-s) ()) lc)
194 | t -> U.fold (fun _ k -> k + 1) k aux () t
197 with DoesOccur -> false
200 let rec eat_lambdas ~subst ~metasenv context n te =
201 match (n, R.whd ~subst context te) with
202 | (0, _) -> (te, context)
203 | (n, C.Lambda (name,so,ta)) when n > 0 ->
204 eat_lambdas ~subst ~metasenv ((name,(C.Decl so))::context) (n - 1) ta
206 raise (AssertFailure (lazy (Printf.sprintf "eat_lambdas (%d, %s)" n
207 (PP.ppterm ~subst ~metasenv ~context te))))
210 let rec eat_or_subst_lambdas
211 ~subst ~metasenv n te to_be_subst args (context,_,_ as k)
213 match n, R.whd ~subst context te, to_be_subst, args with
214 | (n, C.Lambda (_,_,ta),true::to_be_subst,arg::args) when n > 0 ->
215 eat_or_subst_lambdas ~subst ~metasenv (n - 1) (S.subst arg ta)
217 | (n, C.Lambda (name,so,ta),false::to_be_subst,_::args) when n > 0 ->
218 eat_or_subst_lambdas ~subst ~metasenv (n - 1) ta to_be_subst args
219 (shift_k (name,(C.Decl so)) k)
220 | (_, te, _, _) -> te, k
223 let check_homogeneous_call ~subst context indparamsno n uri reduct tl =
229 match R.whd ~subst context x with
230 | C.Rel m when m = n - (indparamsno - k) -> k - 1
231 | _ -> raise (TypeCheckerFailure (lazy
232 ("Argument "^string_of_int (indparamsno - k + 1) ^ " (of " ^
233 string_of_int indparamsno ^ " fixed) is not homogeneous in "^
234 "appl:\n"^ PP.ppterm ~context ~subst ~metasenv:[] reduct))))
238 raise (TypeCheckerFailure
239 (lazy ("Non-positive occurence in mutual inductive definition(s) [2]"^
240 NUri.string_of_uri uri)))
243 (* Inductive types being checked for positivity have *)
244 (* indexes x s.t. n < x <= nn. *)
245 let rec weakly_positive ~subst context n nn uri indparamsno posuri te =
246 (*CSC: Not very nice. *)
247 let dummy = C.Sort C.Prop in
248 (*CSC: to be moved in cicSubstitution? *)
249 let rec subst_inductive_type_with_dummy _ = function
250 | C.Const (Ref.Ref (uri',Ref.Ind (true,0,_))) when NUri.eq uri' uri -> dummy
251 | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind (true,0,lno))))::tl)
252 when NUri.eq uri' uri ->
253 let _, rargs = HExtlib.split_nth lno tl in
254 if rargs = [] then dummy else C.Appl (dummy :: rargs)
255 | t -> U.map (fun _ x->x) () subst_inductive_type_with_dummy t
257 (* this function has the same semantics of are_all_occurrences_positive
258 but the i-th context entry role is played by dummy and some checks
259 are skipped because we already know that are_all_occurrences_positive
261 let rec aux context n nn te =
262 match R.whd ~subst context te with
263 | t when t = dummy -> true
264 | C.Appl (te::rargs) when te = dummy ->
265 List.for_all (does_not_occur ~subst context n nn) rargs
266 | C.Prod (name,source,dest) when
267 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
268 (* dummy abstraction, so we behave as in the anonimous case *)
269 strictly_positive ~subst context n nn indparamsno posuri source &&
270 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
271 | C.Prod (name,source,dest) ->
272 does_not_occur ~subst context n nn source &&
273 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
275 raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
277 aux context n nn (subst_inductive_type_with_dummy () te)
279 and strictly_positive ~subst context n nn indparamsno posuri te =
280 match R.whd ~subst context te with
281 | t when does_not_occur ~subst context n nn t -> true
282 | C.Rel _ when indparamsno = 0 -> true
283 | C.Appl ((C.Rel m)::tl) as reduct when m > n && m <= nn ->
284 check_homogeneous_call ~subst context indparamsno n posuri reduct tl;
285 List.for_all (does_not_occur ~subst context n nn) tl
286 | C.Prod (name,so,ta) ->
287 does_not_occur ~subst context n nn so &&
288 strictly_positive ~subst ((name,C.Decl so)::context) (n+1) (nn+1)
289 indparamsno posuri ta
290 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as r)::tl) ->
291 let _,paramsno,tyl,_,i = E.get_checked_indtys r in
292 let _,name,ity,cl = List.nth tyl i in
293 let ok = List.length tyl = 1 in
294 let params, arguments = HExtlib.split_nth paramsno tl in
295 let lifted_params = List.map (S.lift 1) params in
297 List.map (fun (_,_,te) -> instantiate_parameters lifted_params te) cl
300 List.for_all (does_not_occur ~subst context n nn) arguments &&
302 (weakly_positive ~subst ((name,C.Decl ity)::context) (n+1) (nn+1)
303 uri indparamsno posuri) cl
306 (* the inductive type indexes are s.t. n < x <= nn *)
307 and are_all_occurrences_positive ~subst context uri indparamsno i n nn te =
308 match R.whd ~subst context te with
309 | C.Appl ((C.Rel m)::tl) as reduct when m = i ->
310 check_homogeneous_call ~subst context indparamsno n uri reduct tl;
311 List.for_all (does_not_occur ~subst context n nn) tl
312 | C.Rel m when m = i ->
313 if indparamsno = 0 then
316 raise (TypeCheckerFailure
317 (lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
318 NUri.string_of_uri uri)))
319 | C.Prod (name,source,dest) when
320 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
321 strictly_positive ~subst context n nn indparamsno uri source &&
322 are_all_occurrences_positive ~subst
323 ((name,C.Decl source)::context) uri indparamsno
324 (i+1) (n + 1) (nn + 1) dest
325 | C.Prod (name,source,dest) ->
326 if not (does_not_occur ~subst context n nn source) then
327 raise (TypeCheckerFailure (lazy ("Non-positive occurrence in "^
328 PP.ppterm ~context ~metasenv:[] ~subst te)));
329 are_all_occurrences_positive ~subst ((name,C.Decl source)::context)
330 uri indparamsno (i+1) (n + 1) (nn + 1) dest
333 (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
334 (NUri.string_of_uri uri))))
337 exception NotGuarded of string Lazy.t;;
339 let type_of_branch ~subst context leftno outty cons tycons =
340 let rec aux liftno context cons tycons =
341 match R.whd ~subst context tycons with
342 | C.Const (Ref.Ref (_,Ref.Ind _)) -> C.Appl [S.lift liftno outty ; cons]
343 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _))::tl) ->
344 let _,arguments = HExtlib.split_nth leftno tl in
345 C.Appl (S.lift liftno outty::arguments@[cons])
346 | C.Prod (name,so,de) ->
348 match S.lift 1 cons with
349 | C.Appl l -> C.Appl (l@[C.Rel 1])
350 | t -> C.Appl [t ; C.Rel 1]
352 C.Prod (name,so, aux (liftno+1) ((name,(C.Decl so))::context) cons de)
353 | t -> raise (AssertFailure
354 (lazy ("type_of_branch, the contructor has type: " ^ NCicPp.ppterm
355 ~metasenv:[] ~context:[] ~subst:[] t)))
357 aux 0 context cons tycons
361 let rec typeof ~subst ~metasenv context term =
362 let rec typeof_aux context =
363 fun t -> (*prerr_endline (PP.ppterm ~metasenv ~subst ~context t);*)
367 match List.nth context (n - 1) with
368 | (_,C.Decl ty) -> S.lift n ty
369 | (_,C.Def (_,ty)) -> S.lift n ty
371 raise (TypeCheckerFailure (lazy ("unbound variable " ^ string_of_int n
372 ^" under: " ^ NCicPp.ppcontext ~metasenv ~subst context))))
373 | C.Sort (C.Type [false,u]) -> C.Sort (C.Type [true, u])
374 | C.Sort (C.Type _) ->
375 raise (AssertFailure (lazy ("Cannot type an inferred type: "^
376 NCicPp.ppterm ~subst ~metasenv ~context t)))
377 | C.Sort _ -> C.Sort (C.Type NCicEnvironment.type0)
378 | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
379 | C.Meta (n,l) as t ->
380 let canonical_ctx,ty =
382 let _,c,_,ty = U.lookup_subst n subst in c,ty
383 with U.Subst_not_found _ -> try
384 let _,c,ty = U.lookup_meta n metasenv in c, ty
385 (* match ty with C.Implicit _ -> assert false | _ -> c,ty *)
386 with U.Meta_not_found _ ->
387 raise (AssertFailure (lazy (Printf.sprintf
388 "%s not found in:\n%s" (PP.ppterm ~subst ~metasenv ~context t)
389 (PP.ppmetasenv ~subst metasenv)
392 check_metasenv_consistency t ~subst ~metasenv context canonical_ctx l;
394 | C.Const ref -> type_of_constant ref
395 | C.Prod (name,s,t) ->
396 let sort1 = typeof_aux context s in
397 let sort2 = typeof_aux ((name,(C.Decl s))::context) t in
398 sort_of_prod ~metasenv ~subst context (name,s) t (sort1,sort2)
399 | C.Lambda (n,s,t) ->
400 let sort = typeof_aux context s in
401 (match R.whd ~subst context sort with
402 | C.Meta _ | C.Sort _ -> ()
405 (TypeCheckerFailure (lazy (Printf.sprintf
406 ("Not well-typed lambda-abstraction: " ^^
407 "the source %s should be a type; instead it is a term " ^^
408 "of type %s") (PP.ppterm ~subst ~metasenv ~context s)
409 (PP.ppterm ~subst ~metasenv ~context sort)))));
410 let ty = typeof_aux ((n,(C.Decl s))::context) t in
412 | C.LetIn (n,ty,t,bo) ->
413 let ty_t = typeof_aux context t in
414 let _ = typeof_aux context ty in
415 if not (R.are_convertible ~metasenv ~subst context ty_t ty) then
418 (lazy (Printf.sprintf
419 "The type of %s is %s but it is expected to be %s"
420 (PP.ppterm ~subst ~metasenv ~context t)
421 (PP.ppterm ~subst ~metasenv ~context ty_t)
422 (PP.ppterm ~subst ~metasenv ~context ty))))
424 let ty_bo = typeof_aux ((n,C.Def (t,ty))::context) bo in
425 S.subst ~avoid_beta_redexes:true t ty_bo
426 | C.Appl (he::(_::_ as args)) ->
427 let ty_he = typeof_aux context he in
428 let args_with_ty = List.map (fun t -> t, typeof_aux context t) args in
429 eat_prods ~subst ~metasenv context he ty_he args_with_ty
430 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
431 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,outtype,term,pl) ->
432 let outsort = typeof_aux context outtype in
433 let _,leftno,itl,_,_ = E.get_checked_indtys r in
435 let _,_,_,cl = List.nth itl tyno in List.length cl
437 let parameters, arguments =
438 let ty = R.whd ~subst context (typeof_aux context term) in
441 C.Const (Ref.Ref (_,Ref.Ind _) as r') -> r',[]
442 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as r') :: tl) -> r',tl
445 (TypeCheckerFailure (lazy (Printf.sprintf
446 "Case analysis: analysed term %s is not an inductive one"
447 (PP.ppterm ~subst ~metasenv ~context term)))) in
448 if not (Ref.eq r r') then
450 (TypeCheckerFailure (lazy (Printf.sprintf
451 ("Case analysys: analysed term type is %s, but is expected " ^^
452 "to be (an application of) %s")
453 (PP.ppterm ~subst ~metasenv ~context ty)
454 (PP.ppterm ~subst ~metasenv ~context (C.Const r')))))
456 try HExtlib.split_nth leftno tl
459 raise (TypeCheckerFailure (lazy (Printf.sprintf
460 "%s is partially applied"
461 (PP.ppterm ~subst ~metasenv ~context ty)))) in
462 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
463 let sort_of_ind_type =
464 if parameters = [] then C.Const r
465 else C.Appl ((C.Const r)::parameters) in
466 let type_of_sort_of_ind_ty = typeof_aux context sort_of_ind_type in
467 check_allowed_sort_elimination ~subst ~metasenv r context
468 sort_of_ind_type type_of_sort_of_ind_ty outsort;
469 (* let's check if the type of branches are right *)
470 if List.length pl <> constructorsno then
471 raise (TypeCheckerFailure (lazy ("Wrong number of cases in a match")));
472 let j,branches_ok,p_ty, exp_p_ty =
474 (fun (j,b,old_p_ty,old_exp_p_ty) p ->
477 let cons = Ref.mk_constructor j r in
478 if parameters = [] then C.Const cons
479 else C.Appl (C.Const cons::parameters)
481 let ty_p = typeof_aux context p in
482 let ty_cons = typeof_aux context cons in
484 type_of_branch ~subst context leftno outtype cons ty_cons
486 j+1, R.are_convertible ~metasenv ~subst context ty_p ty_branch,
489 j,false,old_p_ty,old_exp_p_ty
490 ) (1,true,C.Sort C.Prop,C.Sort C.Prop) pl
492 if not branches_ok then
495 (lazy (Printf.sprintf ("Branch for constructor %s :=\n%s\n"^^
496 "has type %s\nnot convertible with %s")
497 (PP.ppterm ~subst ~metasenv ~context
498 (C.Const (Ref.mk_constructor (j-1) r)))
499 (PP.ppterm ~metasenv ~subst ~context (List.nth pl (j-2)))
500 (PP.ppterm ~metasenv ~subst ~context p_ty)
501 (PP.ppterm ~metasenv ~subst ~context exp_p_ty))));
502 let res = outtype::arguments@[term] in
503 R.head_beta_reduce (C.Appl res)
504 | C.Match _ -> assert false
506 (* check_metasenv_consistency checks that the "canonical" context of a
507 metavariable is consitent - up to relocation via the relocation list l -
508 with the actual context *)
509 and check_metasenv_consistency
510 ~subst ~metasenv term context canonical_context l
514 let context = snd (HExtlib.split_nth shift context) in
515 let rec compare = function
519 raise (AssertFailure (lazy (Printf.sprintf
520 "(2) Local and canonical context %s have different lengths"
521 (PP.ppterm ~subst ~context ~metasenv term))))
523 raise (TypeCheckerFailure (lazy (Printf.sprintf
524 "Unbound variable -%d in %s" m
525 (PP.ppterm ~subst ~metasenv ~context term))))
528 (_,C.Decl t1), (_,C.Decl t2)
529 | (_,C.Def (t1,_)), (_,C.Def (t2,_))
530 | (_,C.Def (_,t1)), (_,C.Decl t2) ->
531 if not (R.are_convertible ~metasenv ~subst tl t1 t2) then
534 (lazy (Printf.sprintf
535 ("Not well typed metavariable local context for %s: " ^^
536 "%s expected, which is not convertible with %s")
537 (PP.ppterm ~subst ~metasenv ~context term)
538 (PP.ppterm ~subst ~metasenv ~context t2)
539 (PP.ppterm ~subst ~metasenv ~context t1))))
542 (TypeCheckerFailure (lazy (Printf.sprintf
543 ("Not well typed metavariable local context for %s: " ^^
544 "a definition expected, but a declaration found")
545 (PP.ppterm ~subst ~metasenv ~context term)))));
546 compare (m - 1,tl,ctl)
548 compare (n,context,canonical_context)
550 (* we avoid useless lifting by shortening the context*)
551 let l,context = (0,lc_kind), snd (HExtlib.split_nth shift context) in
552 let lifted_canonical_context =
553 let rec lift_metas i = function
555 | (n,C.Decl t)::tl ->
556 (n,C.Decl (S.subst_meta l (S.lift i t)))::(lift_metas (i+1) tl)
557 | (n,C.Def (t,ty))::tl ->
558 (n,C.Def ((S.subst_meta l (S.lift i t)),
559 S.subst_meta l (S.lift i ty)))::(lift_metas (i+1) tl)
561 lift_metas 1 canonical_context in
562 let l = U.expand_local_context lc_kind in
567 | t, (_,C.Def (ct,_)) ->
568 (*CSC: the following optimization is to avoid a possibly expensive
569 reduction that can be easily avoided and that is quite
570 frequent. However, this is better handled using levels to
576 match List.nth context (n - 1) with
577 | (_,C.Def (te,_)) -> S.lift n te
582 if not (R.are_convertible ~metasenv ~subst context optimized_t ct)
586 (lazy (Printf.sprintf
587 ("Not well typed metavariable local context: " ^^
588 "expected a term convertible with %s, found %s")
589 (PP.ppterm ~subst ~metasenv ~context ct)
590 (PP.ppterm ~subst ~metasenv ~context t))))
591 | t, (_,C.Decl ct) ->
592 let type_t = typeof_aux context t in
593 if not (R.are_convertible ~metasenv ~subst context type_t ct) then
594 raise (TypeCheckerFailure
595 (lazy (Printf.sprintf
596 ("Not well typed metavariable local context: "^^
597 "expected a term of type %s, found %s of type %s")
598 (PP.ppterm ~subst ~metasenv ~context ct)
599 (PP.ppterm ~subst ~metasenv ~context t)
600 (PP.ppterm ~subst ~metasenv ~context type_t))))
601 ) l lifted_canonical_context
603 | Invalid_argument "List.iter2" ->
604 raise (AssertFailure (lazy (Printf.sprintf
605 "(1) Local and canonical context %s have different lengths"
606 (PP.ppterm ~subst ~metasenv ~context term))))
609 typeof_aux context term
611 and check_allowed_sort_elimination ~subst ~metasenv r =
614 | C.Appl l -> C.Appl (l @ [arg])
615 | t -> C.Appl [t;arg] in
616 let rec aux context ind arity1 arity2 =
617 let arity1 = R.whd ~subst context arity1 in
618 let arity2 = R.whd ~subst context arity2 in
619 match arity1,arity2 with
620 | C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
621 if not (R.are_convertible ~metasenv ~subst context so1 so2) then
622 raise (TypeCheckerFailure (lazy (Printf.sprintf
623 "In outtype: expected %s, found %s"
624 (PP.ppterm ~subst ~metasenv ~context so1)
625 (PP.ppterm ~subst ~metasenv ~context so2)
627 aux ((name, C.Decl so1)::context)
628 (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
629 | C.Sort _, C.Prod (name,so,ta) ->
630 if not (R.are_convertible ~metasenv ~subst context so ind) then
631 raise (TypeCheckerFailure (lazy (Printf.sprintf
632 "In outtype: expected %s, found %s"
633 (PP.ppterm ~subst ~metasenv ~context ind)
634 (PP.ppterm ~subst ~metasenv ~context so)
636 (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with
637 | (C.Sort C.Type _, C.Sort _)
638 | (C.Sort C.Prop, C.Sort C.Prop) -> ()
639 | (C.Sort C.Prop, C.Sort C.Type _) ->
640 (* TODO: we should pass all these parameters since we
641 * have them already *)
642 let _,leftno,itl,_,i = E.get_checked_indtys r in
643 let itl_len = List.length itl in
644 let _,itname,ittype,cl = List.nth itl i in
645 let cl_len = List.length cl in
646 (* is it a singleton, non recursive and non informative
647 definition or an empty one? *)
650 (itl_len = 1 && cl_len = 1 &&
651 let _,_,constrty = List.hd cl in
652 is_non_recursive_singleton
653 ~subst r itname ittype constrty &&
654 is_non_informative ~metasenv ~subst leftno constrty))
656 raise (TypeCheckerFailure (lazy
657 ("Sort elimination not allowed")));
663 and eat_prods ~subst ~metasenv context he ty_he args_with_ty =
664 let rec aux ty_he = function
666 | (arg, ty_arg)::tl ->
667 match R.whd ~subst context ty_he with
669 if R.are_convertible ~metasenv ~subst context ty_arg s then
670 aux (S.subst ~avoid_beta_redexes:true arg t) tl
674 (lazy (Printf.sprintf
675 ("Appl: wrong application of %s: the argument %s has type"^^
676 "\n%s\nbut it should have type \n%s\nContext:\n%s\n")
677 (PP.ppterm ~subst ~metasenv ~context he)
678 (PP.ppterm ~subst ~metasenv ~context arg)
679 (PP.ppterm ~subst ~metasenv ~context ty_arg)
680 (PP.ppterm ~subst ~metasenv ~context s)
681 (PP.ppcontext ~subst ~metasenv context))))
685 (lazy (Printf.sprintf
686 "Appl: %s is not a function, it cannot be applied"
687 (PP.ppterm ~subst ~metasenv ~context
688 (let res = List.length tl in
689 let eaten = List.length args_with_ty - res in
692 (fst (HExtlib.split_nth eaten args_with_ty)))))))))
694 aux ty_he args_with_ty
696 and is_non_recursive_singleton ~subst (Ref.Ref (uri,_)) iname ity cty =
697 let ctx = [iname, C.Decl ity] in
698 let cty = debruijn uri 1 [] cty in
699 let len = List.length ctx in
700 let rec aux ctx n nn t =
701 match R.whd ~subst ctx t with
702 | C.Prod (name, src, tgt) ->
703 does_not_occur ~subst ctx n nn src &&
704 aux ((name, C.Decl src) :: ctx) (n+1) (nn+1) tgt
705 | C.Rel k | C.Appl (C.Rel k :: _) when k = nn -> true
708 aux ctx (len-1) len cty
710 and is_non_informative ~metasenv ~subst paramsno c =
711 let rec aux context c =
712 match R.whd ~subst context c with
713 | C.Prod (n,so,de) ->
714 let s = typeof ~metasenv ~subst context so in
715 s = C.Sort C.Prop && aux ((n,(C.Decl so))::context) de
717 let context',dx = NCicReduction.split_prods ~subst [] paramsno c in
720 and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl =
721 (* let's check if the arity of the inductive types are well formed *)
722 List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl;
723 (* let's check if the types of the inductive constructors are well formed. *)
724 let len = List.length tyl in
725 let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in
728 (fun (it_relev,_,ty,cl) i ->
729 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
730 let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in
732 (fun (k_relev,_,te) ->
734 try snd (HExtlib.split_nth leftno k_relev)
735 with Failure _ -> k_relev in
736 let te = debruijn uri len [] te in
737 let context,te = NCicReduction.split_prods ~subst tys leftno te in
738 let _,chopped_context_rev =
739 HExtlib.split_nth (List.length tys) (List.rev context) in
740 let sx_context_te_rev,_ =
741 HExtlib.split_nth leftno chopped_context_rev in
743 ignore (List.fold_left2
744 (fun context item1 item2 ->
746 match item1,item2 with
747 (_,C.Decl ty1),(_,C.Decl ty2) ->
748 R.are_convertible ~metasenv ~subst context ty1 ty2
749 | (_,C.Def (bo1,ty1)),(_,C.Def (bo2,ty2)) ->
750 R.are_convertible ~metasenv ~subst context ty1 ty2 &&
751 R.are_convertible ~metasenv ~subst context bo1 bo2
754 if not convertible then
755 raise (TypeCheckerFailure (lazy
756 ("Mismatch between the left parameters of the constructor " ^
757 "and those of its inductive type")))
760 ) [] sx_context_ty_rev sx_context_te_rev)
761 with Invalid_argument "List.fold_left2" -> assert false);
762 let con_sort = typeof ~subst ~metasenv context te in
763 (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with
764 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
765 if not (E.universe_leq u1 u2) then
768 (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^
769 " of the constructor is not included in the inductive" ^
770 " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2)))
771 | C.Sort _, C.Sort C.Prop
772 | C.Sort _, C.Sort C.Type _ -> ()
776 (lazy ("Wrong constructor or inductive arity shape"))));
777 (* let's check also the positivity conditions *)
780 (are_all_occurrences_positive ~subst context uri leftno
781 (i+leftno) leftno (len+leftno) te)
785 (lazy ("Non positive occurence in "^NUri.string_of_uri
787 else check_relevance ~subst ~metasenv context k_relev te)
789 check_relevance ~subst ~metasenv [] it_relev ty;
793 and check_relevance ~subst ~metasenv context relevance ty =
794 let error context ty =
795 raise (TypeCheckerFailure
796 (lazy ("Wrong relevance declaration: " ^
797 String.concat "," (List.map string_of_bool relevance)^
798 "\nfor type: "^PP.ppterm ~metasenv ~subst ~context ty)))
800 let rec aux context relevance ty =
801 match R.whd ~subst context ty with
802 | C.Prod (name,so,de) ->
803 let sort = typeof ~subst ~metasenv context so in
804 (match (relevance,R.whd ~subst context sort) with
806 | false::tl,C.Sort C.Prop -> aux ((name,(C.Decl so))::context) tl de
807 | true::_,C.Sort C.Prop
809 | false::_,C.Meta _ -> error context ty
811 | true::tl,C.Meta _ -> aux ((name,(C.Decl so))::context) tl de
812 | _ -> raise (AssertFailure (lazy (Printf.sprintf
813 "Prod: the type %s of the source of %s is not a sort"
814 (PP.ppterm ~subst ~metasenv ~context sort)
815 (PP.ppterm ~subst ~metasenv ~context so)))))
816 | _ -> (match relevance with
818 | _::_ -> error context ty)
819 in aux context relevance ty
821 and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t =
822 let recursor f k t = U.fold shift_k k (fun k () -> f k) () t in
823 let rec aux (context, recfuns, x as k) t =
825 prerr_endline ("GB:\n" ^
826 PP.ppcontext ~subst ~metasenv context^
827 PP.ppterm ~metasenv ~subst ~context t^
828 string_of_recfuns ~subst ~metasenv ~context recfuns);
832 | C.Rel m as t when is_dangerous m recfuns ->
833 raise (NotGuarded (lazy
834 (PP.ppterm ~subst ~metasenv ~context t ^
835 " is a partial application of a fix")))
836 | C.Appl ((C.Rel m)::tl) as t when is_dangerous m recfuns ->
837 let rec_no = get_recno m recfuns in
838 if not (List.length tl > rec_no) then
839 raise (NotGuarded (lazy
840 (PP.ppterm ~context ~subst ~metasenv t ^
841 " is a partial application of a fix")))
843 let rec_arg = List.nth tl rec_no in
844 if not (is_really_smaller r_uri r_len ~subst ~metasenv k rec_arg) then
845 raise (NotGuarded (lazy (Printf.sprintf ("Recursive call %s, %s is not"
846 ^^ " smaller.\ncontext:\n%s") (PP.ppterm ~context ~subst ~metasenv
847 t) (PP.ppterm ~context ~subst ~metasenv rec_arg)
848 (PP.ppcontext ~subst ~metasenv context))));
850 | C.Appl ((C.Rel m)::tl) when is_unfolded m recfuns ->
851 let fixed_args = get_fixed_args m recfuns in
852 HExtlib.list_iter_default2
853 (fun x b -> if not b then aux k x) tl false fixed_args
855 (match List.nth context (m-1) with
857 | _,C.Def (bo,_) -> aux k (S.lift m bo))
859 | C.Appl (C.Const ((Ref.Ref (uri,Ref.Fix (i,recno,_))) as r)::args) ->
860 if List.exists (fun t -> try aux k t;false with NotGuarded _ -> true) args
862 let fl,_,_ = E.get_checked_fixes_or_cofixes r in
864 List.split (List.map (fun (_,name,_,ty,bo) -> (name, C.Decl ty), bo) fl)
866 let fl_len = List.length fl in
867 let bos = List.map (debruijn uri fl_len context) bos in
868 let j = List.fold_left min max_int (List.map (fun (_,_,i,_,_)->i) fl) in
869 let ctx_len = List.length context in
870 (* we may look for fixed params not only up to j ... *)
871 let fa = fixed_args bos j ctx_len (ctx_len + fl_len) in
872 HExtlib.list_iter_default2
873 (fun x b -> if not b then aux k x) args false fa;
874 let context = context@ctx_tys in
875 let ctx_len = List.length context in
877 HExtlib.list_mapi (fun _ i -> ctx_len - i, UnfFix fa) ctx_tys
879 let new_k = context, extra_recfuns@recfuns, x in
884 eat_or_subst_lambdas ~subst ~metasenv j bo fa args new_k
888 List.length args > recno &&
889 (*case where the recursive argument is already really_smaller *)
890 is_really_smaller r_uri r_len ~subst ~metasenv k
891 (List.nth args recno)
893 let bo,(context, _, _ as new_k) = bo_and_k in
895 eat_lambdas ~subst ~metasenv context (recno + 1 - j) bo in
896 let new_context_part,_ =
897 HExtlib.split_nth (List.length context' - List.length context)
899 let k = List.fold_right shift_k new_context_part new_k in
900 let context, recfuns, x = k in
901 let k = context, (1,Safe)::recfuns, x in
907 List.iter (fun (bo,k) -> aux k bo) bos_and_ks
908 | C.Match (Ref.Ref (_,Ref.Ind (true,_,_)),outtype,term,pl) as t ->
909 (match R.whd ~subst context term with
910 | C.Rel m | C.Appl (C.Rel m :: _ ) as t when is_safe m recfuns || m = x ->
911 let ty = typeof ~subst ~metasenv context term in
912 let dc_ctx, dcl, start, stop =
913 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
914 let args = match t with C.Appl (_::tl) -> tl | _ -> [] in
916 List.iter (aux k) args;
919 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
920 let p, k = get_new_safes ~subst k p rl in
923 | _ -> recursor aux k t)
924 | t -> recursor aux k t
926 NotGuarded _ as exc ->
927 let t' = R.whd ~delta:0 ~subst context t in
928 if t = t' then raise exc
931 try aux (context, recfuns, 1) t
932 with NotGuarded s -> raise (TypeCheckerFailure s)
934 and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn =
935 let rec aux context n nn h te =
936 match R.whd ~subst context te with
937 | C.Rel m when m > n && m <= nn -> h
938 | C.Rel _ | C.Meta _ -> true
942 | C.Const (Ref.Ref (_,Ref.Ind _))
943 | C.LetIn _ -> raise (AssertFailure (lazy "17"))
944 | C.Lambda (name,so,de) ->
945 does_not_occur ~subst context n nn so &&
946 aux ((name,C.Decl so)::context) (n + 1) (nn + 1) h de
947 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
948 h && List.for_all (does_not_occur ~subst context n nn) tl
949 | C.Const (Ref.Ref (_,Ref.Con _)) -> true
950 | C.Appl (C.Const (Ref.Ref (_, Ref.Con (_,j,paramsno))) :: tl) as t ->
951 let ty_t = typeof ~subst ~metasenv context t in
952 let dc_ctx, dcl, start, stop =
953 specialize_and_abstract_constrs ~subst indURI indlen context ty_t in
954 let _, dc = List.nth dcl (j-1) in
956 prerr_endline (PP.ppterm ~subst ~metasenv ~context:dc_ctx dc);
957 prerr_endline (PP.ppcontext ~subst ~metasenv dc_ctx);
959 let rec_params = recursive_args ~subst ~metasenv dc_ctx start stop dc in
960 let rec analyse_instantiated_type rec_spec args =
961 match rec_spec, args with
962 | h::rec_spec, he::args ->
963 aux context n nn h he && analyse_instantiated_type rec_spec args
965 | _ -> raise (AssertFailure (lazy
966 ("Too many args for constructor: " ^ String.concat " "
967 (List.map (fun x-> PP.ppterm ~subst ~metasenv ~context x) args))))
969 let _, args = HExtlib.split_nth paramsno tl in
970 analyse_instantiated_type rec_params args
971 | C.Appl ((C.Match (_,out,te,pl))::_)
972 | C.Match (_,out,te,pl) as t ->
973 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
974 List.for_all (does_not_occur ~subst context n nn) tl &&
975 does_not_occur ~subst context n nn out &&
976 does_not_occur ~subst context n nn te &&
977 List.for_all (aux context n nn h) pl
978 (* IMPOSSIBLE unsless we allow to pass cofix to other fix/cofix as we do for
979 higher order fix in g_b_destructors.
981 | C.Const (Ref.Ref (u,(Ref.Fix _| Ref.CoFix _)) as ref)
982 | C.Appl(C.Const (Ref.Ref(u,(Ref.Fix _| Ref.CoFix _)) as ref) :: _) as t ->
983 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
984 let fl,_,_ = E.get_checked_fixes_or_cofixes ref in
985 let len = List.length fl in
986 let tys = List.map (fun (_,n,_,ty,_) -> n, C.Decl ty) fl in
987 List.for_all (does_not_occur ~subst context n nn) tl &&
990 aux (context@tys) n nn h (debruijn u len context bo))
994 | C.Appl _ as t -> does_not_occur ~subst context n nn t
996 aux context 0 nn false t
998 and recursive_args ~subst ~metasenv context n nn te =
999 match R.whd ~subst context te with
1000 | C.Rel _ | C.Appl _ | C.Const _ -> []
1001 | C.Prod (name,so,de) ->
1002 (not (does_not_occur ~subst context n nn so)) ::
1003 (recursive_args ~subst ~metasenv
1004 ((name,(C.Decl so))::context) (n+1) (nn + 1) de)
1006 raise (AssertFailure (lazy ("recursive_args:" ^ PP.ppterm ~subst
1007 ~metasenv ~context:[] t)))
1009 and get_new_safes ~subst (context, recfuns, x as k) p rl =
1010 match R.whd ~subst context p, rl with
1011 | C.Lambda (name,so,ta), b::tl ->
1012 let recfuns = (if b then [0,Safe] else []) @ recfuns in
1013 get_new_safes ~subst
1014 (shift_k (name,(C.Decl so)) (context, recfuns, x)) ta tl
1015 | C.Meta _ as e, _ | e, [] -> e, k
1016 | _ -> raise (AssertFailure (lazy "Ill formed pattern"))
1018 and is_really_smaller
1019 r_uri r_len ~subst ~metasenv (context, recfuns, x as k) te
1021 match R.whd ~subst context te with
1022 | C.Rel m when is_safe m recfuns -> true
1023 | C.Lambda (name, s, t) ->
1024 is_really_smaller r_uri r_len ~subst ~metasenv (shift_k (name,C.Decl s) k) t
1026 is_really_smaller r_uri r_len ~subst ~metasenv k he
1028 | C.Const (Ref.Ref (_,Ref.Con _)) -> false
1030 | C.Const (Ref.Ref (_,Ref.Fix _)) -> assert false
1032 | C.Match (Ref.Ref (_,Ref.Ind (isinductive,_,_)),_,term,pl) ->
1034 | C.Rel m | C.Appl (C.Rel m :: _ ) when is_safe m recfuns || m = x ->
1035 if not isinductive then
1036 List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl
1038 let ty = typeof ~subst ~metasenv context term in
1039 let dc_ctx, dcl, start, stop =
1040 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
1043 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
1044 let e, k = get_new_safes ~subst k p rl in
1045 is_really_smaller r_uri r_len ~subst ~metasenv k e)
1047 | _ -> List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl)
1050 and returns_a_coinductive ~subst context ty =
1051 match R.whd ~subst context ty with
1052 | C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)
1053 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)::_) ->
1054 let _, _, itl, _, _ = E.get_checked_indtys ref in
1055 Some (uri,List.length itl)
1056 | C.Prod (n,so,de) ->
1057 returns_a_coinductive ~subst ((n,C.Decl so)::context) de
1060 and type_of_constant ((Ref.Ref (uri,_)) as ref) =
1062 raise (TypeCheckerFailure (lazy "Inconsistent cached infos in reference"))
1064 match E.get_checked_obj uri, ref with
1065 | (_,_,_,_,C.Inductive(isind1,lno1,tl,_)),Ref.Ref(_,Ref.Ind (isind2,i,lno2))->
1066 if isind1 <> isind2 || lno1 <> lno2 then error ();
1067 let _,_,arity,_ = List.nth tl i in arity
1068 | (_,_,_,_,C.Inductive (_,lno1,tl,_)), Ref.Ref (_,Ref.Con (i,j,lno2)) ->
1069 if lno1 <> lno2 then error ();
1070 let _,_,_,cl = List.nth tl i in
1071 let _,_,arity = List.nth cl (j-1) in
1073 | (_,_,_,_,C.Fixpoint (false,fl,_)), Ref.Ref (_,Ref.CoFix i) ->
1074 let _,_,_,arity,_ = List.nth fl i in
1076 | (_,h1,_,_,C.Fixpoint (true,fl,_)), Ref.Ref (_,Ref.Fix (i,recno2,h2)) ->
1077 let _,_,recno1,arity,_ = List.nth fl i in
1078 if h1 <> h2 || recno1 <> recno2 then error ();
1080 | (_,_,_,_,C.Constant (_,_,None,ty,_)), Ref.Ref (_,Ref.Decl) -> ty
1081 | (_,h1,_,_,C.Constant (_,_,Some _,ty,_)), Ref.Ref (_,Ref.Def h2) ->
1082 if h1 <> h2 then error ();
1085 raise (AssertFailure
1086 (lazy ("type_of_constant: environment/reference: " ^
1087 Ref.string_of_reference ref)))
1089 and get_relevance ~metasenv ~subst context t args =
1090 let ty = typeof ~subst ~metasenv context t in
1091 let rec aux context ty = function
1093 | arg::tl -> match R.whd ~subst context ty with
1094 | C.Prod (_,so,de) ->
1095 let sort = typeof ~subst ~metasenv context so in
1096 let new_ty = S.subst ~avoid_beta_redexes:true arg de in
1097 (*prerr_endline ("so: " ^ PP.ppterm ~subst ~metasenv:[]
1099 prerr_endline ("sort: " ^ PP.ppterm ~subst ~metasenv:[]
1101 (match R.whd ~subst context sort with
1103 false::(aux context new_ty tl)
1105 | C.Meta _ -> true::(aux context new_ty tl)
1106 | _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf
1107 "Prod: the type %s of the source of %s is not a sort"
1108 (PP.ppterm ~subst ~metasenv ~context sort)
1109 (PP.ppterm ~subst ~metasenv ~context so)))))
1113 (lazy (Printf.sprintf
1114 "Appl: %s is not a function, it cannot be applied"
1115 (PP.ppterm ~subst ~metasenv ~context
1116 (let res = List.length tl in
1117 let eaten = List.length args - res in
1120 (HExtlib.split_nth eaten args))))))))
1121 in aux context ty args
1124 let typecheck_context ~metasenv ~subst context =
1130 _,C.Decl t -> ignore (typeof ~metasenv ~subst:[] context t)
1131 | name,C.Def (te,ty) ->
1132 ignore (typeof ~metasenv ~subst:[] context ty);
1133 let ty' = typeof ~metasenv ~subst:[] context te in
1134 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1135 raise (AssertFailure (lazy (Printf.sprintf (
1136 "the type of the definiens for %s in the context is not "^^
1137 "convertible with the declared one.\n"^^
1138 "inferred type:\n%s\nexpected type:\n%s")
1139 name (PP.ppterm ~subst ~metasenv ~context ty')
1140 (PP.ppterm ~subst ~metasenv ~context ty))))
1146 let typecheck_metasenv metasenv =
1149 (fun metasenv (i,(_,context,ty) as conj) ->
1150 if List.mem_assoc i metasenv then
1151 raise (TypeCheckerFailure (lazy ("duplicate meta " ^ string_of_int i ^
1153 typecheck_context ~metasenv ~subst:[] context;
1154 ignore (typeof ~metasenv ~subst:[] context ty);
1159 let typecheck_subst ~metasenv subst =
1162 (fun subst (i,(_,context,ty,bo) as conj) ->
1163 if List.mem_assoc i subst then
1164 raise (AssertFailure (lazy ("duplicate meta " ^ string_of_int i ^
1165 " in substitution")));
1166 if List.mem_assoc i metasenv then
1167 raise (AssertFailure (lazy ("meta " ^ string_of_int i ^
1168 " is both in the metasenv and in the substitution")));
1169 typecheck_context ~metasenv ~subst context;
1170 ignore (typeof ~metasenv ~subst context ty);
1171 let ty' = typeof ~metasenv ~subst context bo in
1172 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1173 raise (AssertFailure (lazy (Printf.sprintf (
1174 "the type of the definiens for %d in the substitution is not "^^
1175 "convertible with the declared one.\n"^^
1176 "inferred type:\n%s\nexpected type:\n%s")
1178 (PP.ppterm ~subst ~metasenv ~context ty')
1179 (PP.ppterm ~subst ~metasenv ~context ty))));
1184 let height_of_term tl =
1186 let get_height (NReference.Ref (uri,_)) =
1187 let _,height,_,_,_ = NCicEnvironment.get_checked_obj uri in
1191 NCic.Meta (_,(_,NCic.Ctx l)) -> List.iter aux l
1195 | NCic.Implicit _ -> assert false
1196 | NCic.Const nref -> h := max !h (get_height nref)
1197 | NCic.Prod (_,t1,t2)
1198 | NCic.Lambda (_,t1,t2) -> aux t1; aux t2
1199 | NCic.LetIn (_,s,ty,t) -> aux s; aux ty; aux t
1200 | NCic.Appl l -> List.iter aux l
1201 | NCic.Match (_,outty,t,pl) -> aux outty; aux t; List.iter aux pl
1207 let height_of_obj_kind uri =
1210 | NCic.Constant (_,_,None,_,_)
1211 | NCic.Fixpoint (false,_,_) -> 0
1212 | NCic.Fixpoint (true,ifl,_) ->
1213 let iflno = List.length ifl in
1216 (fun l (_,_,_,ty,bo) ->
1217 let bo = debruijn uri iflno [] bo in
1220 | NCic.Constant (_,_,Some bo,ty,_) -> height_of_term [bo;ty]
1223 let typecheck_obj (uri,height,metasenv,subst,kind) =
1224 (*height must be checked since it is not only an optimization during reduction*)
1225 let iheight = height_of_obj_kind uri kind in
1226 if height <> iheight then
1227 raise (TypeCheckerFailure (lazy (Printf.sprintf
1228 "the declared object height (%d) is not the inferred one (%d)"
1230 typecheck_metasenv metasenv;
1231 typecheck_subst ~metasenv subst;
1233 | C.Constant (relevance,_,Some te,ty,_) ->
1234 let _ = typeof ~subst ~metasenv [] ty in
1235 let ty_te = typeof ~subst ~metasenv [] te in
1236 if not (R.are_convertible ~metasenv ~subst [] ty_te ty) then
1237 raise (TypeCheckerFailure (lazy (Printf.sprintf (
1238 "the type of the body is not convertible with the declared one.\n"^^
1239 "inferred type:\n%s\nexpected type:\n%s")
1240 (PP.ppterm ~subst ~metasenv ~context:[] ty_te)
1241 (PP.ppterm ~subst ~metasenv ~context:[] ty))));
1242 check_relevance ~subst ~metasenv [] relevance ty
1243 (*check_relevance ~in_type:false ~subst ~metasenv relevance te*)
1244 | C.Constant (relevance,_,None,ty,_) ->
1245 ignore (typeof ~subst ~metasenv [] ty);
1246 check_relevance ~subst ~metasenv [] relevance ty
1247 | C.Inductive (_, leftno, tyl, _) ->
1248 check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl
1249 | C.Fixpoint (inductive,fl,_) ->
1252 (fun (types,kl) (relevance,name,k,ty,_) ->
1253 let _ = typeof ~subst ~metasenv [] ty in
1254 check_relevance ~subst ~metasenv [] relevance ty;
1255 ((name,C.Decl ty)::types, k::kl)
1258 let len = List.length types in
1260 List.split (List.map2
1261 (fun (_,_,_,_,bo) rno ->
1262 let dbo = debruijn uri len [] bo in
1266 List.iter2 (fun (_,_,x,ty,_) bo ->
1267 let ty_bo = typeof ~subst ~metasenv types bo in
1268 if not (R.are_convertible ~metasenv ~subst types ty_bo ty)
1269 then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies")))
1271 if inductive then begin
1272 let m, context = eat_lambdas ~subst ~metasenv types (x + 1) bo in
1275 match List.hd context with _,C.Decl t -> t | _ -> assert false
1277 match R.whd ~subst (List.tl context) he with
1278 | C.Const (Ref.Ref (uri,Ref.Ind _) as ref)
1279 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as ref) :: _) ->
1280 let _,_,itl,_,_ = E.get_checked_indtys ref in
1281 uri, List.length itl
1284 (* guarded by destructors conditions D{f,k,x,M} *)
1285 let rec enum_from k =
1286 function [] -> [] | v::tl -> (k,v)::enum_from (k+1) tl
1288 guarded_by_destructors r_uri r_len
1289 ~subst ~metasenv context (enum_from (x+2) kl) m
1291 match returns_a_coinductive ~subst [] ty with
1293 raise (TypeCheckerFailure
1294 (lazy "CoFix: does not return a coinductive type"))
1295 | Some (r_uri, r_len) ->
1296 (* guarded by constructors conditions C{f,M} *)
1298 (guarded_by_constructors ~subst ~metasenv types bo r_uri r_len len)
1300 raise (TypeCheckerFailure
1301 (lazy "CoFix: not guarded by constructors"))
1307 let trust = ref (fun _ -> false);;
1308 let set_trust f = trust := f
1309 let trust_obj obj = !trust obj
1312 (* web interface stuff *)
1315 ref (function (`Start_type_checking _|`Type_checking_completed _|`Type_checking_interrupted _|`Type_checking_failed _|`Trust_obj _) -> ())
1318 let set_logger f = logger := f;;
1320 let typecheck_obj obj =
1321 let u,_,_,_,_ = obj in
1323 !logger (`Start_type_checking u);
1325 !logger (`Type_checking_completed u)
1328 !logger (`Type_checking_interrupted u);
1331 !logger (`Type_checking_failed u);
1337 if trust_obj obj then
1338 let u,_,_,_,_ = obj in
1339 !logger (`Trust_obj u)
1344 let _ = NCicReduction.set_get_relevance get_relevance;;
1347 let indent = ref 0;;
1350 let do_indent () = String.make !indent ' ' in
1352 | `Start_type_checking s ->
1354 prerr_endline (do_indent () ^ "Start: " ^ NUri.string_of_uri s);
1356 | `Type_checking_completed s ->
1359 prerr_endline (do_indent () ^ "End: " ^ NUri.string_of_uri s)
1360 | `Type_checking_interrupted s ->
1363 prerr_endline (do_indent () ^ "Break: " ^ NUri.string_of_uri s)
1364 | `Type_checking_failed s ->
1367 prerr_endline (do_indent () ^ "Fail: " ^ NUri.string_of_uri s)
1370 prerr_endline (do_indent () ^ "Trust: " ^ NUri.string_of_uri s))
1372 (* let _ = set_logger logger ;; *)