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.Meta (_,(_,C.Irl _)) as x -> x
260 | C.Meta (i,(lift,C.Ctx ls)) ->
261 C.Meta (i,(lift,C.Ctx
262 (List.map (subst_inductive_type_with_dummy ()) ls)))
263 | C.Const (Ref.Ref (uri',Ref.Ind (true,0,_))) when NUri.eq uri' uri -> dummy
264 | C.Appl ((C.Const (Ref.Ref (uri',Ref.Ind (true,0,lno))))::tl)
265 when NUri.eq uri' uri ->
266 let _, rargs = HExtlib.split_nth lno tl in
267 if rargs = [] then dummy else C.Appl (dummy :: rargs)
268 | t -> U.map (fun _ x->x) () subst_inductive_type_with_dummy t
270 (* this function has the same semantics of are_all_occurrences_positive
271 but the i-th context entry role is played by dummy and some checks
272 are skipped because we already know that are_all_occurrences_positive
274 let rec aux context n nn te =
275 match R.whd ~subst context te with
276 | t when t = dummy -> true
279 let _,_,term,_ = U.lookup_subst i subst in
280 let t = S.subst_meta lc term in
281 weakly_positive ~subst context n nn uri indparamsno posuri t
282 with U.Subst_not_found _ -> true)
283 | C.Appl (te::rargs) when te = dummy ->
284 List.for_all (does_not_occur ~subst context n nn) rargs
285 | C.Prod (name,source,dest) when
286 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
287 (* dummy abstraction, so we behave as in the anonimous case *)
288 strictly_positive ~subst context n nn indparamsno posuri source &&
289 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
290 | C.Prod (name,source,dest) ->
291 does_not_occur ~subst context n nn source &&
292 aux ((name,C.Decl source)::context) (n + 1) (nn + 1) dest
294 raise (TypeCheckerFailure (lazy "Malformed inductive constructor type"))
296 aux context n nn (subst_inductive_type_with_dummy () te)
298 and strictly_positive ~subst context n nn indparamsno posuri te =
299 match R.whd ~subst context te with
300 | t when does_not_occur ~subst context n nn t -> true
303 let _,_,term,_ = U.lookup_subst i subst in
304 let t = S.subst_meta lc term in
305 strictly_positive ~subst context n nn indparamsno posuri t
306 with U.Subst_not_found _ -> true)
307 | C.Rel _ when indparamsno = 0 -> true
308 | C.Appl ((C.Rel m)::tl) as reduct when m > n && m <= nn ->
309 check_homogeneous_call ~subst context indparamsno n posuri reduct tl;
310 List.for_all (does_not_occur ~subst context n nn) tl
311 | C.Prod (name,so,ta) ->
312 does_not_occur ~subst context n nn so &&
313 strictly_positive ~subst ((name,C.Decl so)::context) (n+1) (nn+1)
314 indparamsno posuri ta
315 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as r)::tl) ->
316 let _,paramsno,tyl,_,i = E.get_checked_indtys r in
317 let _,name,ity,cl = List.nth tyl i in
318 let ok = List.length tyl = 1 in
319 let params, arguments = HExtlib.split_nth paramsno tl in
320 let lifted_params = List.map (S.lift 1) params in
322 List.map (fun (_,_,te) -> instantiate_parameters lifted_params te) cl
325 List.for_all (does_not_occur ~subst context n nn) arguments &&
327 (weakly_positive ~subst ((name,C.Decl ity)::context) (n+1) (nn+1)
328 uri indparamsno posuri) cl
331 (* the inductive type indexes are s.t. n < x <= nn *)
332 and are_all_occurrences_positive ~subst context uri indparamsno i n nn te =
333 match R.whd ~subst context te with
334 | C.Appl ((C.Rel m)::tl) as reduct when m = i ->
335 check_homogeneous_call ~subst context indparamsno n uri reduct tl;
336 List.for_all (does_not_occur ~subst context n nn) tl
337 | C.Rel m when m = i ->
338 if indparamsno = 0 then
341 raise (TypeCheckerFailure
342 (lazy ("Non-positive occurence in mutual inductive definition(s) [3]"^
343 NUri.string_of_uri uri)))
344 | C.Prod (name,source,dest) when
345 does_not_occur ~subst ((name,C.Decl source)::context) 0 1 dest ->
346 strictly_positive ~subst context n nn indparamsno uri source &&
347 are_all_occurrences_positive ~subst
348 ((name,C.Decl source)::context) uri indparamsno
349 (i+1) (n + 1) (nn + 1) dest
350 | C.Prod (name,source,dest) ->
351 if not (does_not_occur ~subst context n nn source) then
352 raise (TypeCheckerFailure (lazy ("Non-positive occurrence in "^
353 PP.ppterm ~context ~metasenv:[] ~subst te)));
354 are_all_occurrences_positive ~subst ((name,C.Decl source)::context)
355 uri indparamsno (i+1) (n + 1) (nn + 1) dest
358 (TypeCheckerFailure (lazy ("Malformed inductive constructor type " ^
359 (NUri.string_of_uri uri))))
362 exception NotGuarded of string Lazy.t;;
364 let type_of_branch ~subst context leftno outty cons tycons =
365 let rec aux liftno context cons tycons =
366 match R.whd ~subst context tycons with
367 | C.Const (Ref.Ref (_,Ref.Ind _)) -> C.Appl [S.lift liftno outty ; cons]
368 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _))::tl) ->
369 let _,arguments = HExtlib.split_nth leftno tl in
370 C.Appl (S.lift liftno outty::arguments@[cons])
371 | C.Prod (name,so,de) ->
373 match S.lift 1 cons with
374 | C.Appl l -> C.Appl (l@[C.Rel 1])
375 | t -> C.Appl [t ; C.Rel 1]
377 C.Prod (name,so, aux (liftno+1) ((name,(C.Decl so))::context) cons de)
378 | t -> raise (AssertFailure
379 (lazy ("type_of_branch, the contructor has type: " ^ NCicPp.ppterm
380 ~metasenv:[] ~context:[] ~subst:[] t)))
382 aux 0 context cons tycons
386 let rec typeof ~subst ~metasenv context term =
387 let rec typeof_aux context =
388 fun t -> (*prerr_endline (PP.ppterm ~metasenv ~subst ~context t);*)
392 match List.nth context (n - 1) with
393 | (_,C.Decl ty) -> S.lift n ty
394 | (_,C.Def (_,ty)) -> S.lift n ty
396 raise (TypeCheckerFailure (lazy ("unbound variable " ^ string_of_int n
397 ^" under: " ^ NCicPp.ppcontext ~metasenv ~subst context))))
399 (try C.Sort (NCicEnvironment.typeof_sort s)
401 | NCicEnvironment.UntypableSort msg -> raise (TypeCheckerFailure msg)
402 | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg))
403 | C.Implicit _ -> raise (AssertFailure (lazy "Implicit found"))
404 | C.Meta (n,l) as t ->
405 let canonical_ctx,ty =
407 let _,c,_,ty = U.lookup_subst n subst in c,ty
408 with U.Subst_not_found _ -> try
409 let _,c,ty = U.lookup_meta n metasenv in c, ty
410 (* match ty with C.Implicit _ -> assert false | _ -> c,ty *)
411 with U.Meta_not_found _ ->
412 raise (AssertFailure (lazy (Printf.sprintf
413 "%s not found in:\n%s" (PP.ppterm ~subst ~metasenv ~context t)
414 (PP.ppmetasenv ~subst metasenv)
417 check_metasenv_consistency t ~subst ~metasenv context canonical_ctx l;
419 | C.Const ref -> type_of_constant ref
420 | C.Prod (name,s,t) ->
421 let sort1 = typeof_aux context s in
422 let sort2 = typeof_aux ((name,(C.Decl s))::context) t in
423 sort_of_prod ~metasenv ~subst context (name,s) t (sort1,sort2)
424 | C.Lambda (n,s,t) ->
425 let sort = typeof_aux context s in
426 (match R.whd ~subst context sort with
427 | C.Meta _ | C.Sort _ -> ()
430 (TypeCheckerFailure (lazy (Printf.sprintf
431 ("Not well-typed lambda-abstraction: " ^^
432 "the source %s should be a type; instead it is a term " ^^
433 "of type %s") (PP.ppterm ~subst ~metasenv ~context s)
434 (PP.ppterm ~subst ~metasenv ~context sort)))));
435 let ty = typeof_aux ((n,(C.Decl s))::context) t in
437 | C.LetIn (n,ty,t,bo) ->
438 let ty_t = typeof_aux context t in
439 let _ = typeof_aux context ty in
440 if not (R.are_convertible ~metasenv ~subst context ty_t ty) then
443 (lazy (Printf.sprintf
444 "The type of %s is %s but it is expected to be %s"
445 (PP.ppterm ~subst ~metasenv ~context t)
446 (PP.ppterm ~subst ~metasenv ~context ty_t)
447 (PP.ppterm ~subst ~metasenv ~context ty))))
449 let ty_bo = typeof_aux ((n,C.Def (t,ty))::context) bo in
450 S.subst ~avoid_beta_redexes:true t ty_bo
451 | C.Appl (he::(_::_ as args)) ->
452 let ty_he = typeof_aux context he in
453 let args_with_ty = List.map (fun t -> t, typeof_aux context t) args in
454 eat_prods ~subst ~metasenv context he ty_he args_with_ty
455 | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2"))
456 | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r,outtype,term,pl) ->
457 let outsort = typeof_aux context outtype in
458 let _,leftno,itl,_,_ = E.get_checked_indtys r in
460 let _,_,_,cl = List.nth itl tyno in List.length cl
462 let parameters, arguments =
463 let ty = R.whd ~subst context (typeof_aux context term) in
466 C.Const (Ref.Ref (_,Ref.Ind _) as r') -> r',[]
467 | C.Appl (C.Const (Ref.Ref (_,Ref.Ind _) as r') :: tl) -> r',tl
470 (TypeCheckerFailure (lazy (Printf.sprintf
471 "Case analysis: analysed term %s is not an inductive one"
472 (PP.ppterm ~subst ~metasenv ~context term)))) in
473 if not (Ref.eq r r') then
475 (TypeCheckerFailure (lazy (Printf.sprintf
476 ("Case analysys: analysed term type is %s, but is expected " ^^
477 "to be (an application of) %s")
478 (PP.ppterm ~subst ~metasenv ~context ty)
479 (PP.ppterm ~subst ~metasenv ~context (C.Const r')))))
481 try HExtlib.split_nth leftno tl
484 raise (TypeCheckerFailure (lazy (Printf.sprintf
485 "%s is partially applied"
486 (PP.ppterm ~subst ~metasenv ~context ty)))) in
487 (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *)
488 let sort_of_ind_type =
489 if parameters = [] then C.Const r
490 else C.Appl ((C.Const r)::parameters) in
491 let type_of_sort_of_ind_ty = typeof_aux context sort_of_ind_type in
492 check_allowed_sort_elimination ~subst ~metasenv r context
493 sort_of_ind_type type_of_sort_of_ind_ty outsort;
494 (* let's check if the type of branches are right *)
495 if List.length pl <> constructorsno then
496 raise (TypeCheckerFailure (lazy ("Wrong number of cases in a match")));
497 let j,branches_ok,p_ty, exp_p_ty =
499 (fun (j,b,old_p_ty,old_exp_p_ty) p ->
502 let cons = Ref.mk_constructor j r in
503 if parameters = [] then C.Const cons
504 else C.Appl (C.Const cons::parameters)
506 let ty_p = typeof_aux context p in
507 let ty_cons = typeof_aux context cons in
509 type_of_branch ~subst context leftno outtype cons ty_cons
511 j+1, R.are_convertible ~metasenv ~subst context ty_p ty_branch,
514 j,false,old_p_ty,old_exp_p_ty
515 ) (1,true,C.Sort C.Prop,C.Sort C.Prop) pl
517 if not branches_ok then
520 (lazy (Printf.sprintf ("Branch for constructor %s :=\n%s\n"^^
521 "has type %s\nnot convertible with %s")
522 (PP.ppterm ~subst ~metasenv ~context
523 (C.Const (Ref.mk_constructor (j-1) r)))
524 (PP.ppterm ~metasenv ~subst ~context (List.nth pl (j-2)))
525 (PP.ppterm ~metasenv ~subst ~context p_ty)
526 (PP.ppterm ~metasenv ~subst ~context exp_p_ty))));
527 let res = outtype::arguments@[term] in
528 R.head_beta_reduce (C.Appl res)
529 | C.Match _ -> assert false
531 (* check_metasenv_consistency checks that the "canonical" context of a
532 metavariable is consitent - up to relocation via the relocation list l -
533 with the actual context *)
534 and check_metasenv_consistency
535 ~subst ~metasenv term context canonical_context l
539 let context = snd (HExtlib.split_nth shift context) in
540 let rec compare = function
544 raise (AssertFailure (lazy (Printf.sprintf
545 "(2) Local and canonical context %s have different lengths"
546 (PP.ppterm ~subst ~context ~metasenv term))))
548 raise (TypeCheckerFailure (lazy (Printf.sprintf
549 "Unbound variable -%d in %s" m
550 (PP.ppterm ~subst ~metasenv ~context term))))
553 (_,C.Decl t1), (_,C.Decl t2)
554 | (_,C.Def (t1,_)), (_,C.Def (t2,_))
555 | (_,C.Def (_,t1)), (_,C.Decl t2) ->
556 if not (R.are_convertible ~metasenv ~subst tl t1 t2) then
559 (lazy (Printf.sprintf
560 ("Not well typed metavariable local context for %s: " ^^
561 "%s expected, which is not convertible with %s")
562 (PP.ppterm ~subst ~metasenv ~context term)
563 (PP.ppterm ~subst ~metasenv ~context t2)
564 (PP.ppterm ~subst ~metasenv ~context t1))))
567 (TypeCheckerFailure (lazy (Printf.sprintf
568 ("Not well typed metavariable local context for %s: " ^^
569 "a definition expected, but a declaration found")
570 (PP.ppterm ~subst ~metasenv ~context term)))));
571 compare (m - 1,tl,ctl)
573 compare (n,context,canonical_context)
575 (* we avoid useless lifting by shortening the context*)
576 let l,context = (0,lc_kind), snd (HExtlib.split_nth shift context) in
577 let lifted_canonical_context =
578 let rec lift_metas i = function
580 | (n,C.Decl t)::tl ->
581 (n,C.Decl (S.subst_meta l (S.lift i t)))::(lift_metas (i+1) tl)
582 | (n,C.Def (t,ty))::tl ->
583 (n,C.Def ((S.subst_meta l (S.lift i t)),
584 S.subst_meta l (S.lift i ty)))::(lift_metas (i+1) tl)
586 lift_metas 1 canonical_context in
587 let l = U.expand_local_context lc_kind in
592 | t, (_,C.Def (ct,_)) ->
593 (*CSC: the following optimization is to avoid a possibly expensive
594 reduction that can be easily avoided and that is quite
595 frequent. However, this is better handled using levels to
601 match List.nth context (n - 1) with
602 | (_,C.Def (te,_)) -> S.lift n te
607 if not (R.are_convertible ~metasenv ~subst context optimized_t ct)
611 (lazy (Printf.sprintf
612 ("Not well typed metavariable local context: " ^^
613 "expected a term convertible with %s, found %s")
614 (PP.ppterm ~subst ~metasenv ~context ct)
615 (PP.ppterm ~subst ~metasenv ~context t))))
616 | t, (_,C.Decl ct) ->
617 let type_t = typeof_aux context t in
618 if not (R.are_convertible ~metasenv ~subst context type_t ct) then
619 raise (TypeCheckerFailure
620 (lazy (Printf.sprintf
621 ("Not well typed metavariable local context: "^^
622 "expected a term of type %s, found %s of type %s")
623 (PP.ppterm ~subst ~metasenv ~context ct)
624 (PP.ppterm ~subst ~metasenv ~context t)
625 (PP.ppterm ~subst ~metasenv ~context type_t))))
626 ) l lifted_canonical_context
628 | Invalid_argument "List.iter2" ->
629 raise (AssertFailure (lazy (Printf.sprintf
630 "(1) Local and canonical context %s have different lengths"
631 (PP.ppterm ~subst ~metasenv ~context term))))
634 typeof_aux context term
636 and check_allowed_sort_elimination ~subst ~metasenv r =
639 | C.Appl l -> C.Appl (l @ [arg])
640 | t -> C.Appl [t;arg] in
641 let rec aux context ind arity1 arity2 =
642 let arity1 = R.whd ~subst context arity1 in
643 let arity2 = R.whd ~subst context arity2 in
644 match arity1,arity2 with
645 | C.Prod (name,so1,de1), C.Prod (_,so2,de2) ->
646 if not (R.are_convertible ~metasenv ~subst context so1 so2) then
647 raise (TypeCheckerFailure (lazy (Printf.sprintf
648 "In outtype: expected %s, found %s"
649 (PP.ppterm ~subst ~metasenv ~context so1)
650 (PP.ppterm ~subst ~metasenv ~context so2)
652 aux ((name, C.Decl so1)::context)
653 (mkapp (S.lift 1 ind) (C.Rel 1)) de1 de2
654 | C.Sort _, C.Prod (name,so,ta) ->
655 if not (R.are_convertible ~metasenv ~subst context so ind) then
656 raise (TypeCheckerFailure (lazy (Printf.sprintf
657 "In outtype: expected %s, found %s"
658 (PP.ppterm ~subst ~metasenv ~context ind)
659 (PP.ppterm ~subst ~metasenv ~context so)
661 (match arity1, R.whd ~subst ((name,C.Decl so)::context) ta with
662 | C.Sort s1, (C.Sort s2 as arity2) ->
663 (match NCicEnvironment.allowed_sort_elimination s1 s2 with
666 (* TODO: we should pass all these parameters since we
667 * have them already *)
668 let _,leftno,itl,_,i = E.get_checked_indtys r in
669 let itl_len = List.length itl in
670 let _,itname,ittype,cl = List.nth itl i in
671 let cl_len = List.length cl in
672 (* is it a singleton, non recursive and non informative
673 definition or an empty one? *)
676 (itl_len = 1 && cl_len = 1 &&
677 let _,_,constrty = List.hd cl in
678 is_non_recursive_singleton
679 ~subst r itname ittype constrty &&
680 is_non_informative ~metasenv ~subst leftno constrty))
682 raise (TypeCheckerFailure (lazy
683 ("Sort elimination not allowed: " ^
684 NCicPp.ppterm ~metasenv ~subst ~context arity1
686 NCicPp.ppterm ~metasenv ~subst ~context arity2
693 and eat_prods ~subst ~metasenv context he ty_he args_with_ty =
694 let rec aux ty_he = function
696 | (arg, ty_arg)::tl ->
697 match R.whd ~subst context ty_he with
699 if R.are_convertible ~metasenv ~subst context ty_arg s then
700 aux (S.subst ~avoid_beta_redexes:true arg t) tl
704 (lazy (Printf.sprintf
705 ("Appl: wrong application of %s: the argument %s has type"^^
706 "\n%s\nbut it should have type \n%s\nContext:\n%s\n")
707 (PP.ppterm ~subst ~metasenv ~context he)
708 (PP.ppterm ~subst ~metasenv ~context arg)
709 (PP.ppterm ~subst ~metasenv ~context ty_arg)
710 (PP.ppterm ~subst ~metasenv ~context s)
711 (PP.ppcontext ~subst ~metasenv context))))
715 (lazy (Printf.sprintf
716 "Appl: %s is not a function, it cannot be applied"
717 (PP.ppterm ~subst ~metasenv ~context
718 (let res = List.length tl in
719 let eaten = List.length args_with_ty - res in
722 (fst (HExtlib.split_nth eaten args_with_ty)))))))))
724 aux ty_he args_with_ty
726 and is_non_recursive_singleton ~subst (Ref.Ref (uri,_)) iname ity cty =
727 let ctx = [iname, C.Decl ity] in
728 let cty = debruijn uri 1 [] ~subst cty in
729 let len = List.length ctx in
730 let rec aux ctx n nn t =
731 match R.whd ~subst ctx t with
732 | C.Prod (name, src, tgt) ->
733 does_not_occur ~subst ctx n nn src &&
734 aux ((name, C.Decl src) :: ctx) (n+1) (nn+1) tgt
735 | C.Rel k | C.Appl (C.Rel k :: _) when k = nn -> true
738 aux ctx (len-1) len cty
740 and is_non_informative ~metasenv ~subst paramsno c =
741 let rec aux context c =
742 match R.whd ~subst context c with
743 | C.Prod (n,so,de) ->
744 let s = typeof ~metasenv ~subst context so in
745 (s = C.Sort C.Prop ||
746 match s with C.Sort (C.Type ((`CProp,_)::_)) -> true | _ -> false) &&
747 aux ((n,(C.Decl so))::context) de
749 let context',dx = NCicReduction.split_prods ~subst [] paramsno c in
752 and check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl =
753 (* let's check if the arity of the inductive types are well formed *)
754 List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl;
755 (* let's check if the types of the inductive constructors are well formed. *)
756 let len = List.length tyl in
757 let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in
760 (fun (it_relev,_,ty,cl) i ->
761 let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in
762 let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in
764 (fun (k_relev,_,te) ->
766 try snd (HExtlib.split_nth leftno k_relev)
767 with Failure _ -> k_relev in
768 let te = debruijn uri len [] ~subst te in
769 let context,te = NCicReduction.split_prods ~subst tys leftno te in
770 let _,chopped_context_rev =
771 HExtlib.split_nth (List.length tys) (List.rev context) in
772 let sx_context_te_rev,_ =
773 HExtlib.split_nth leftno chopped_context_rev in
775 ignore (List.fold_left2
776 (fun context item1 item2 ->
778 match item1,item2 with
779 (_,C.Decl ty1),(_,C.Decl ty2) ->
780 R.are_convertible ~metasenv ~subst context ty1 ty2
781 | (_,C.Def (bo1,ty1)),(_,C.Def (bo2,ty2)) ->
782 R.are_convertible ~metasenv ~subst context ty1 ty2 &&
783 R.are_convertible ~metasenv ~subst context bo1 bo2
786 if not convertible then
787 raise (TypeCheckerFailure (lazy
788 ("Mismatch between the left parameters of the constructor " ^
789 "and those of its inductive type")))
792 ) [] sx_context_ty_rev sx_context_te_rev)
793 with Invalid_argument "List.fold_left2" -> assert false);
794 let con_sort = typeof ~subst ~metasenv context te in
795 (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with
796 (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) ->
797 if not (E.universe_leq u1 u2) then
800 (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^
801 " of the constructor is not included in the inductive" ^
802 " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2)))
803 | C.Sort _, C.Sort C.Prop
804 | C.Sort _, C.Sort C.Type _ -> ()
808 (lazy ("Wrong constructor or inductive arity shape"))));
809 (* let's check also the positivity conditions *)
812 (are_all_occurrences_positive ~subst context uri leftno
813 (i+leftno) leftno (len+leftno) te)
817 (lazy ("Non positive occurence in "^NUri.string_of_uri
819 else check_relevance ~subst ~metasenv context k_relev te)
821 check_relevance ~subst ~metasenv [] it_relev ty;
825 and check_relevance ~subst ~metasenv context relevance ty =
826 let error context ty =
827 raise (TypeCheckerFailure
828 (lazy ("Wrong relevance declaration: " ^
829 String.concat "," (List.map string_of_bool relevance)^
830 "\nfor type: "^PP.ppterm ~metasenv ~subst ~context ty)))
832 let rec aux context relevance ty =
833 match R.whd ~subst context ty with
834 | C.Prod (name,so,de) ->
835 let sort = typeof ~subst ~metasenv context so in
836 (match (relevance,R.whd ~subst context sort) with
838 | false::tl,C.Sort C.Prop -> aux ((name,(C.Decl so))::context) tl de
839 | true::_,C.Sort C.Prop
841 | false::_,C.Meta _ -> error context ty
843 | true::tl,C.Meta _ -> aux ((name,(C.Decl so))::context) tl de
844 | _ -> raise (AssertFailure (lazy (Printf.sprintf
845 "Prod: the type %s of the source of %s is not a sort"
846 (PP.ppterm ~subst ~metasenv ~context sort)
847 (PP.ppterm ~subst ~metasenv ~context so)))))
848 | _ -> (match relevance with
850 | _::_ -> error context ty)
851 in aux context relevance ty
853 and guarded_by_destructors r_uri r_len ~subst ~metasenv context recfuns t =
854 let recursor f k t = U.fold shift_k k (fun k () -> f k) () t in
855 let rec aux (context, recfuns, x as k) t =
857 prerr_endline ("GB:\n" ^
858 PP.ppcontext ~subst ~metasenv context^
859 PP.ppterm ~metasenv ~subst ~context t^
860 string_of_recfuns ~subst ~metasenv ~context recfuns);
864 | C.Rel m as t when is_dangerous m recfuns ->
865 raise (NotGuarded (lazy
866 (PP.ppterm ~subst ~metasenv ~context t ^
867 " is a partial application of a fix")))
868 | C.Appl ((C.Rel m)::tl) as t when is_dangerous m recfuns ->
869 let rec_no = get_recno m recfuns in
870 if not (List.length tl > rec_no) then
871 raise (NotGuarded (lazy
872 (PP.ppterm ~context ~subst ~metasenv t ^
873 " is a partial application of a fix")))
875 let rec_arg = List.nth tl rec_no in
876 if not (is_really_smaller r_uri r_len ~subst ~metasenv k rec_arg) then
877 raise (NotGuarded (lazy (Printf.sprintf ("Recursive call %s, %s is not"
878 ^^ " smaller.\ncontext:\n%s") (PP.ppterm ~context ~subst ~metasenv
879 t) (PP.ppterm ~context ~subst ~metasenv rec_arg)
880 (PP.ppcontext ~subst ~metasenv context))));
882 | C.Appl ((C.Rel m)::tl) when is_unfolded m recfuns ->
883 let fixed_args = get_fixed_args m recfuns in
884 HExtlib.list_iter_default2
885 (fun x b -> if not b then aux k x) tl false fixed_args
887 (match List.nth context (m-1) with
889 | _,C.Def (bo,_) -> aux k (S.lift m bo))
891 | C.Appl (C.Const ((Ref.Ref (uri,Ref.Fix (i,recno,_))) as r)::args) ->
892 if List.exists (fun t -> try aux k t;false with NotGuarded _ -> true) args
894 let fl,_,_ = E.get_checked_fixes_or_cofixes r in
896 List.split (List.map (fun (_,name,_,ty,bo) -> (name, C.Decl ty), bo) fl)
898 let fl_len = List.length fl in
899 let bos = List.map (debruijn uri fl_len context ~subst) bos in
900 let j = List.fold_left min max_int (List.map (fun (_,_,i,_,_)->i) fl) in
901 let ctx_len = List.length context in
902 (* we may look for fixed params not only up to j ... *)
903 let fa = fixed_args bos j ctx_len (ctx_len + fl_len) in
904 HExtlib.list_iter_default2
905 (fun x b -> if not b then aux k x) args false fa;
906 let context = context@ctx_tys in
907 let ctx_len = List.length context in
909 HExtlib.list_mapi (fun _ i -> ctx_len - i, UnfFix fa) ctx_tys
911 let new_k = context, extra_recfuns@recfuns, x in
916 eat_or_subst_lambdas ~subst ~metasenv j bo fa args new_k
920 List.length args > recno &&
921 (*case where the recursive argument is already really_smaller *)
922 is_really_smaller r_uri r_len ~subst ~metasenv k
923 (List.nth args recno)
925 let bo,(context, _, _ as new_k) = bo_and_k in
927 eat_lambdas ~subst ~metasenv context (recno + 1 - j) bo in
928 let new_context_part,_ =
929 HExtlib.split_nth (List.length context' - List.length context)
931 let k = List.fold_right shift_k new_context_part new_k in
932 let context, recfuns, x = k in
933 let k = context, (1,Safe)::recfuns, x in
939 List.iter (fun (bo,k) -> aux k bo) bos_and_ks
940 | C.Match (Ref.Ref (_,Ref.Ind (true,_,_)),outtype,term,pl) as t ->
941 (match R.whd ~subst context term with
942 | C.Rel m | C.Appl (C.Rel m :: _ ) as t when is_safe m recfuns || m = x ->
943 let ty = typeof ~subst ~metasenv context term in
944 let dc_ctx, dcl, start, stop =
945 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
946 let args = match t with C.Appl (_::tl) -> tl | _ -> [] in
948 List.iter (aux k) args;
951 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
952 let p, k = get_new_safes ~subst k p rl in
955 | _ -> recursor aux k t)
956 | t -> recursor aux k t
958 NotGuarded _ as exc ->
959 let t' = R.whd ~delta:0 ~subst context t in
960 if t = t' then raise exc
963 try aux (context, recfuns, 1) t
964 with NotGuarded s -> raise (TypeCheckerFailure s)
966 and guarded_by_constructors ~subst ~metasenv context t indURI indlen nn =
967 let rec aux context n nn h te =
968 match R.whd ~subst context te with
969 | C.Rel m when m > n && m <= nn -> h
970 | C.Rel _ | C.Meta _ -> true
974 | C.Const (Ref.Ref (_,Ref.Ind _))
975 | C.LetIn _ -> raise (AssertFailure (lazy "17"))
976 | C.Lambda (name,so,de) ->
977 does_not_occur ~subst context n nn so &&
978 aux ((name,C.Decl so)::context) (n + 1) (nn + 1) h de
979 | C.Appl ((C.Rel m)::tl) when m > n && m <= nn ->
980 h && List.for_all (does_not_occur ~subst context n nn) tl
981 | C.Const (Ref.Ref (_,Ref.Con _)) -> true
982 | C.Appl (C.Const (Ref.Ref (_, Ref.Con (_,j,paramsno))) :: tl) as t ->
983 let ty_t = typeof ~subst ~metasenv context t in
984 let dc_ctx, dcl, start, stop =
985 specialize_and_abstract_constrs ~subst indURI indlen context ty_t in
986 let _, dc = List.nth dcl (j-1) in
988 prerr_endline (PP.ppterm ~subst ~metasenv ~context:dc_ctx dc);
989 prerr_endline (PP.ppcontext ~subst ~metasenv dc_ctx);
991 let rec_params = recursive_args ~subst ~metasenv dc_ctx start stop dc in
992 let rec analyse_instantiated_type rec_spec args =
993 match rec_spec, args with
994 | h::rec_spec, he::args ->
995 aux context n nn h he && analyse_instantiated_type rec_spec args
997 | _ -> raise (AssertFailure (lazy
998 ("Too many args for constructor: " ^ String.concat " "
999 (List.map (fun x-> PP.ppterm ~subst ~metasenv ~context x) args))))
1001 let _, args = HExtlib.split_nth paramsno tl in
1002 analyse_instantiated_type rec_params args
1003 | C.Appl ((C.Match (_,out,te,pl))::_)
1004 | C.Match (_,out,te,pl) as t ->
1005 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
1006 List.for_all (does_not_occur ~subst context n nn) tl &&
1007 does_not_occur ~subst context n nn out &&
1008 does_not_occur ~subst context n nn te &&
1009 List.for_all (aux context n nn h) pl
1010 (* IMPOSSIBLE unsless we allow to pass cofix to other fix/cofix as we do for
1011 higher order fix in g_b_destructors.
1013 | C.Const (Ref.Ref (u,(Ref.Fix _| Ref.CoFix _)) as ref)
1014 | C.Appl(C.Const (Ref.Ref(u,(Ref.Fix _| Ref.CoFix _)) as ref) :: _) as t ->
1015 let tl = match t with C.Appl (_::tl) -> tl | _ -> [] in
1016 let fl,_,_ = E.get_checked_fixes_or_cofixes ref in
1017 let len = List.length fl in
1018 let tys = List.map (fun (_,n,_,ty,_) -> n, C.Decl ty) fl in
1019 List.for_all (does_not_occur ~subst context n nn) tl &&
1021 (fun (_,_,_,_,bo) ->
1022 aux (context@tys) n nn h (debruijn u len context bo))
1026 | C.Appl _ as t -> does_not_occur ~subst context n nn t
1028 aux context 0 nn false t
1030 and recursive_args ~subst ~metasenv context n nn te =
1031 match R.whd ~subst context te with
1032 | C.Rel _ | C.Appl _ | C.Const _ -> []
1033 | C.Prod (name,so,de) ->
1034 (not (does_not_occur ~subst context n nn so)) ::
1035 (recursive_args ~subst ~metasenv
1036 ((name,(C.Decl so))::context) (n+1) (nn + 1) de)
1038 raise (AssertFailure (lazy ("recursive_args:" ^ PP.ppterm ~subst
1039 ~metasenv ~context:[] t)))
1041 and get_new_safes ~subst (context, recfuns, x as k) p rl =
1042 match R.whd ~subst context p, rl with
1043 | C.Lambda (name,so,ta), b::tl ->
1044 let recfuns = (if b then [0,Safe] else []) @ recfuns in
1045 get_new_safes ~subst
1046 (shift_k (name,(C.Decl so)) (context, recfuns, x)) ta tl
1047 | C.Meta _ as e, _ | e, [] -> e, k
1048 | _ -> raise (AssertFailure (lazy "Ill formed pattern"))
1050 and is_really_smaller
1051 r_uri r_len ~subst ~metasenv (context, recfuns, x as k) te
1053 match R.whd ~subst context te with
1054 | C.Rel m when is_safe m recfuns -> true
1055 | C.Lambda (name, s, t) ->
1056 is_really_smaller r_uri r_len ~subst ~metasenv (shift_k (name,C.Decl s) k) t
1058 is_really_smaller r_uri r_len ~subst ~metasenv k he
1059 | C.Appl [] | C.Implicit _ -> assert false
1061 | C.Match (Ref.Ref (_,Ref.Ind (isinductive,_,_)),_,term,pl) ->
1063 | C.Rel m | C.Appl (C.Rel m :: _ ) when is_safe m recfuns || m = x ->
1064 if not isinductive then
1065 List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl
1067 let ty = typeof ~subst ~metasenv context term in
1068 let dc_ctx, dcl, start, stop =
1069 specialize_and_abstract_constrs ~subst r_uri r_len context ty in
1072 let rl = recursive_args ~subst ~metasenv dc_ctx start stop dc in
1073 let e, k = get_new_safes ~subst k p rl in
1074 is_really_smaller r_uri r_len ~subst ~metasenv k e)
1076 | _ -> List.for_all (is_really_smaller r_uri r_len ~subst ~metasenv k) pl)
1079 and returns_a_coinductive ~subst context ty =
1080 match R.whd ~subst context ty with
1081 | C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)
1082 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind (false,_,_)) as ref)::_) ->
1083 let _, _, itl, _, _ = E.get_checked_indtys ref in
1084 Some (uri,List.length itl)
1085 | C.Prod (n,so,de) ->
1086 returns_a_coinductive ~subst ((n,C.Decl so)::context) de
1089 and type_of_constant ((Ref.Ref (uri,_)) as ref) =
1091 raise (TypeCheckerFailure (lazy "Inconsistent cached infos in reference"))
1093 match E.get_checked_obj uri, ref with
1094 | (_,_,_,_,C.Inductive(isind1,lno1,tl,_)),Ref.Ref(_,Ref.Ind (isind2,i,lno2))->
1095 if isind1 <> isind2 || lno1 <> lno2 then error ();
1096 let _,_,arity,_ = List.nth tl i in arity
1097 | (_,_,_,_,C.Inductive (_,lno1,tl,_)), Ref.Ref (_,Ref.Con (i,j,lno2)) ->
1098 if lno1 <> lno2 then error ();
1099 let _,_,_,cl = List.nth tl i in
1100 let _,_,arity = List.nth cl (j-1) in
1102 | (_,_,_,_,C.Fixpoint (false,fl,_)), Ref.Ref (_,Ref.CoFix i) ->
1103 let _,_,_,arity,_ = List.nth fl i in
1105 | (_,h1,_,_,C.Fixpoint (true,fl,_)), Ref.Ref (_,Ref.Fix (i,recno2,h2)) ->
1106 let _,_,recno1,arity,_ = List.nth fl i in
1107 if h1 <> h2 || recno1 <> recno2 then error ();
1109 | (_,_,_,_,C.Constant (_,_,None,ty,_)), Ref.Ref (_,Ref.Decl) -> ty
1110 | (_,h1,_,_,C.Constant (_,_,Some _,ty,_)), Ref.Ref (_,Ref.Def h2) ->
1111 if h1 <> h2 then error ();
1114 raise (AssertFailure
1115 (lazy ("type_of_constant: environment/reference: " ^
1116 Ref.string_of_reference ref)))
1118 and get_relevance ~metasenv ~subst context t args =
1119 let ty = typeof ~subst ~metasenv context t in
1120 let rec aux context ty = function
1122 | arg::tl -> match R.whd ~subst context ty with
1123 | C.Prod (_,so,de) ->
1124 let sort = typeof ~subst ~metasenv context so in
1125 let new_ty = S.subst ~avoid_beta_redexes:true arg de in
1126 (*prerr_endline ("so: " ^ PP.ppterm ~subst ~metasenv:[]
1128 prerr_endline ("sort: " ^ PP.ppterm ~subst ~metasenv:[]
1130 (match R.whd ~subst context sort with
1132 false::(aux context new_ty tl)
1134 | C.Meta _ -> true::(aux context new_ty tl)
1135 | _ -> raise (TypeCheckerFailure (lazy (Printf.sprintf
1136 "Prod: the type %s of the source of %s is not a sort"
1137 (PP.ppterm ~subst ~metasenv ~context sort)
1138 (PP.ppterm ~subst ~metasenv ~context so)))))
1142 (lazy (Printf.sprintf
1143 "Appl: %s is not a function, it cannot be applied"
1144 (PP.ppterm ~subst ~metasenv ~context
1145 (let res = List.length tl in
1146 let eaten = List.length args - res in
1149 (HExtlib.split_nth eaten args))))))))
1150 in aux context ty args
1153 let typecheck_context ~metasenv ~subst context =
1159 _,C.Decl t -> ignore (typeof ~metasenv ~subst:[] context t)
1160 | name,C.Def (te,ty) ->
1161 ignore (typeof ~metasenv ~subst:[] context ty);
1162 let ty' = typeof ~metasenv ~subst:[] context te in
1163 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1164 raise (AssertFailure (lazy (Printf.sprintf (
1165 "the type of the definiens for %s in the context is not "^^
1166 "convertible with the declared one.\n"^^
1167 "inferred type:\n%s\nexpected type:\n%s")
1168 name (PP.ppterm ~subst ~metasenv ~context ty')
1169 (PP.ppterm ~subst ~metasenv ~context ty))))
1175 let typecheck_metasenv metasenv =
1178 (fun metasenv (i,(_,context,ty) as conj) ->
1179 if List.mem_assoc i metasenv then
1180 raise (TypeCheckerFailure (lazy ("duplicate meta " ^ string_of_int i ^
1182 typecheck_context ~metasenv ~subst:[] context;
1183 ignore (typeof ~metasenv ~subst:[] context ty);
1188 let typecheck_subst ~metasenv subst =
1191 (fun subst (i,(_,context,ty,bo) as conj) ->
1192 if List.mem_assoc i subst then
1193 raise (AssertFailure (lazy ("duplicate meta " ^ string_of_int i ^
1194 " in substitution")));
1195 if List.mem_assoc i metasenv then
1196 raise (AssertFailure (lazy ("meta " ^ string_of_int i ^
1197 " is both in the metasenv and in the substitution")));
1198 typecheck_context ~metasenv ~subst context;
1199 ignore (typeof ~metasenv ~subst context ty);
1200 let ty' = typeof ~metasenv ~subst context bo in
1201 if not (R.are_convertible ~metasenv ~subst context ty' ty) then
1202 raise (AssertFailure (lazy (Printf.sprintf (
1203 "the type of the definiens for %d in the substitution is not "^^
1204 "convertible with the declared one.\n"^^
1205 "inferred type:\n%s\nexpected type:\n%s")
1207 (PP.ppterm ~subst ~metasenv ~context ty')
1208 (PP.ppterm ~subst ~metasenv ~context ty))));
1213 let height_of_term tl =
1215 let get_height (NReference.Ref (uri,_)) =
1216 let _,height,_,_,_ = NCicEnvironment.get_checked_obj uri in
1220 NCic.Meta (_,(_,NCic.Ctx l)) -> List.iter aux l
1224 | NCic.Implicit _ -> assert false
1225 | NCic.Const nref -> h := max !h (get_height nref)
1226 | NCic.Prod (_,t1,t2)
1227 | NCic.Lambda (_,t1,t2) -> aux t1; aux t2
1228 | NCic.LetIn (_,s,ty,t) -> aux s; aux ty; aux t
1229 | NCic.Appl l -> List.iter aux l
1230 | NCic.Match (_,outty,t,pl) -> aux outty; aux t; List.iter aux pl
1236 let height_of_obj_kind uri ~subst =
1239 | NCic.Constant (_,_,None,_,_)
1240 | NCic.Fixpoint (false,_,_) -> 0
1241 | NCic.Fixpoint (true,ifl,_) ->
1242 let iflno = List.length ifl in
1245 (fun l (_,_,_,ty,bo) ->
1246 let bo = debruijn uri iflno [] ~subst bo in
1249 | NCic.Constant (_,_,Some bo,ty,_) -> height_of_term [bo;ty]
1252 let typecheck_obj (uri,height,metasenv,subst,kind) =
1253 (*height must be checked since it is not only an optimization during reduction*)
1254 let iheight = height_of_obj_kind uri ~subst kind in
1255 if height <> iheight then
1256 raise (TypeCheckerFailure (lazy (Printf.sprintf
1257 "the declared object height (%d) is not the inferred one (%d)"
1259 typecheck_metasenv metasenv;
1260 typecheck_subst ~metasenv subst;
1262 | C.Constant (relevance,_,Some te,ty,_) ->
1263 let _ = typeof ~subst ~metasenv [] ty in
1264 let ty_te = typeof ~subst ~metasenv [] te in
1265 if not (R.are_convertible ~metasenv ~subst [] ty_te ty) then
1266 raise (TypeCheckerFailure (lazy (Printf.sprintf (
1267 "the type of the body is not convertible with the declared one.\n"^^
1268 "inferred type:\n%s\nexpected type:\n%s")
1269 (PP.ppterm ~subst ~metasenv ~context:[] ty_te)
1270 (PP.ppterm ~subst ~metasenv ~context:[] ty))));
1271 check_relevance ~subst ~metasenv [] relevance ty
1272 (*check_relevance ~in_type:false ~subst ~metasenv relevance te*)
1273 | C.Constant (relevance,_,None,ty,_) ->
1274 ignore (typeof ~subst ~metasenv [] ty);
1275 check_relevance ~subst ~metasenv [] relevance ty
1276 | C.Inductive (_, leftno, tyl, _) ->
1277 check_mutual_inductive_defs uri ~metasenv ~subst leftno tyl
1278 | C.Fixpoint (inductive,fl,_) ->
1281 (fun (types,kl) (relevance,name,k,ty,_) ->
1282 let _ = typeof ~subst ~metasenv [] ty in
1283 check_relevance ~subst ~metasenv [] relevance ty;
1284 ((name,C.Decl ty)::types, k::kl)
1287 let len = List.length types in
1289 List.split (List.map2
1290 (fun (_,_,_,_,bo) rno ->
1291 let dbo = debruijn uri len [] ~subst bo in
1295 List.iter2 (fun (_,_,x,ty,_) bo ->
1296 let ty_bo = typeof ~subst ~metasenv types bo in
1297 if not (R.are_convertible ~metasenv ~subst types ty_bo ty)
1298 then raise (TypeCheckerFailure (lazy ("(Co)Fix: ill-typed bodies")))
1300 if inductive then begin
1301 let m, context = eat_lambdas ~subst ~metasenv types (x + 1) bo in
1304 match List.hd context with _,C.Decl t -> t | _ -> assert false
1306 match R.whd ~subst (List.tl context) he with
1307 | C.Const (Ref.Ref (uri,Ref.Ind _) as ref)
1308 | C.Appl (C.Const (Ref.Ref (uri,Ref.Ind _) as ref) :: _) ->
1309 let _,_,itl,_,_ = E.get_checked_indtys ref in
1310 uri, List.length itl
1312 raise (TypeCheckerFailure
1313 (lazy "Fix: the recursive argument is not inductive"))
1315 (* guarded by destructors conditions D{f,k,x,M} *)
1316 let rec enum_from k =
1317 function [] -> [] | v::tl -> (k,v)::enum_from (k+1) tl
1319 guarded_by_destructors r_uri r_len
1320 ~subst ~metasenv context (enum_from (x+2) kl) m
1322 match returns_a_coinductive ~subst [] ty with
1324 raise (TypeCheckerFailure
1325 (lazy "CoFix: does not return a coinductive type"))
1326 | Some (r_uri, r_len) ->
1327 (* guarded by constructors conditions C{f,M} *)
1329 (guarded_by_constructors ~subst ~metasenv types bo r_uri r_len len)
1331 raise (TypeCheckerFailure
1332 (lazy "CoFix: not guarded by constructors"))
1338 let trust = ref (fun _ -> false);;
1339 let set_trust f = trust := f
1340 let trust_obj obj = !trust obj
1343 (* web interface stuff *)
1346 ref (function (`Start_type_checking _|`Type_checking_completed _|`Type_checking_interrupted _|`Type_checking_failed _|`Trust_obj _) -> ())
1349 let set_logger f = logger := f;;
1351 let typecheck_obj obj =
1352 let u,_,_,_,_ = obj in
1354 !logger (`Start_type_checking u);
1356 !logger (`Type_checking_completed u)
1359 !logger (`Type_checking_interrupted u);
1362 !logger (`Type_checking_failed u);
1368 if trust_obj obj then
1369 let u,_,_,_,_ = obj in
1370 !logger (`Trust_obj u)
1375 let _ = NCicReduction.set_get_relevance get_relevance;;
1378 let indent = ref 0;;
1381 let do_indent () = String.make !indent ' ' in
1383 | `Start_type_checking s ->
1385 prerr_endline (do_indent () ^ "Start: " ^ NUri.string_of_uri s);
1387 | `Type_checking_completed s ->
1390 prerr_endline (do_indent () ^ "End: " ^ NUri.string_of_uri s)
1391 | `Type_checking_interrupted s ->
1394 prerr_endline (do_indent () ^ "Break: " ^ NUri.string_of_uri s)
1395 | `Type_checking_failed s ->
1398 prerr_endline (do_indent () ^ "Fail: " ^ NUri.string_of_uri s)
1401 prerr_endline (do_indent () ^ "Trust: " ^ NUri.string_of_uri s))
1403 (* let _ = set_logger logger ;; *)