2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department, University of Bologna, Italy.
6 ||T|| HELM is free software; you can redistribute it and/or
7 ||A|| modify it under the terms of the GNU General Public License
8 \ / version 2 or (at your option) any later version.
9 \ / This software is distributed as is, NO WARRANTY.
10 V_______________________________________________________________ *)
14 exception UnificationFailure of string Lazy.t;;
15 exception Uncertain of string Lazy.t;;
16 exception AssertFailure of string Lazy.t;;
17 exception KeepReducing of string Lazy.t;;
18 exception KeepReducingThis of
19 string Lazy.t * (NCicReduction.machine * bool) *
20 (NCicReduction.machine * bool) ;;
22 let (===) x y = Pervasives.compare x y = 0 ;;
24 let mk_msg metasenv subst context t1 t2 =
26 "Can't unify " ^ NCicPp.ppterm ~metasenv ~subst ~context t1 ^
27 " with " ^ NCicPp.ppterm ~metasenv ~subst ~context t2))
29 let mk_appl ~upto hd tl =
30 NCicReduction.head_beta_reduce ~upto
32 | NCic.Appl l -> NCic.Appl (l@tl)
33 | _ -> NCic.Appl (hd :: tl))
36 exception WrongShape;;
38 let eta_reduce subst t =
39 let delift_if_not_occur body =
41 Some (NCicSubstitution.psubst ~avoid_beta_redexes:true
42 (fun () -> raise WrongShape) [()] body)
43 with WrongShape -> None
45 let rec eat_lambdas ctx = function
46 | NCic.Lambda (name, src, tgt) ->
47 eat_lambdas ((name, src) :: ctx) tgt
48 | NCic.Meta (i,lc) as t->
50 let _,_,t,_ = NCicUtils.lookup_subst i subst in
51 let t = NCicSubstitution.subst_meta lc t in
53 with Not_found -> ctx, t)
56 let context_body = eat_lambdas [] t in
57 let rec aux = function
59 | (name, src)::ctx, (NCic.Appl (hd::[NCic.Rel 1]) as bo) ->
60 (match delift_if_not_occur hd with
61 | None -> aux (ctx,NCic.Lambda(name,src, bo))
62 | Some bo -> aux (ctx,bo))
63 | (name, src)::ctx, (NCic.Appl args as bo)
64 when HExtlib.list_last args = NCic.Rel 1 ->
65 let args, _ = HExtlib.split_nth (List.length args - 1) args in
66 (match delift_if_not_occur (NCic.Appl args) with
67 | None -> aux (ctx,NCic.Lambda(name,src, bo))
68 | Some bo -> aux (ctx,bo))
69 | (name, src) :: ctx, t ->
70 aux (ctx,NCic.Lambda(name,src, t))
76 module Ref = NReference;;
78 let debug = ref false;;
83 prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s)
88 let time1 = Unix.gettimeofday () in
89 indent := !indent ^ String.make 1 c;
90 times := time1 :: !times;
91 prerr_endline ("{{{" ^ !indent ^ " ")
97 let time2 = Unix.gettimeofday () in
99 match !times with time1::tl -> times := tl; time1 | [] -> assert false in
100 prerr_endline ("}}} " ^ string_of_float (time2 -. time1));
102 | Some e -> prerr_endline ("exception raised: " ^ Printexc.to_string e)
105 indent := String.sub !indent 0 (String.length !indent -1)
107 Invalid_argument _ -> indent := "??"; ()
111 let ppcontext ~metasenv ~subst c =
112 "\nctx:\n"^ NCicPp.ppcontext ~metasenv ~subst c
114 let ppmetasenv ~subst m = "\nmenv:\n" ^ NCicPp.ppmetasenv ~subst m;;
116 let ppcontext ~metasenv:_metasenv ~subst:_subst _context = "";;
117 let ppmetasenv ~subst:_subst _metasenv = "";;
118 let ppterm ~metasenv ~subst ~context = NCicPp.ppterm ~metasenv ~subst ~context;;
119 (* let ppterm ~metasenv:_ ~subst:_ ~context:_ _ = "";; *)
121 let is_locked n subst =
123 match NCicUtils.lookup_subst n subst with
124 | tag, _,_,_ when NCicMetaSubst.is_out_scope_tag tag -> true
126 with NCicUtils.Subst_not_found _ -> false
129 let rec mk_irl stop base =
130 if base > stop then []
131 else (NCic.Rel base) :: mk_irl stop (base+1)
134 (* the argument must be a term in whd *)
135 let rec could_reduce =
138 | C.Appl (C.Const (Ref.Ref (_,Ref.Fix (_,recno,_)))::args)
139 when List.length args > recno -> could_reduce (List.nth args recno)
140 | C.Match (_,_,arg,_) -> could_reduce arg
141 | C.Appl (he::_) -> could_reduce he
142 | C.Sort _ | C.Rel _ | C.Prod _ | C.Lambda _ | C.Const _ -> false
143 | C.Appl [] | C.LetIn _ | C.Implicit _ -> assert false
146 let rec lambda_intros rdb metasenv subst context argsno ty =
147 pp (lazy ("LAMBDA INTROS: " ^ ppterm ~metasenv ~subst ~context ty));
150 let metasenv, _, bo, _ =
151 NCicMetaSubst.mk_meta metasenv context ~with_type:ty `IsTerm
155 (match NCicReduction.whd ~subst context ty with
158 lambda_intros rdb metasenv subst
159 ((n,C.Decl so)::context) (argsno - 1) ta
161 metasenv,C.Lambda (n,so,bo)
165 let unopt exc = function None -> raise exc | Some x -> x ;;
167 let fix metasenv subst is_sup test_eq_only exc t =
168 (*D*) inside 'f'; try let rc =
169 pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context:[] t));
170 let rec aux test_eq_only metasenv = function
171 | NCic.Prod (n,so,ta) ->
172 let metasenv,so = aux true metasenv so in
173 let metasenv,ta = aux test_eq_only metasenv ta in
174 metasenv,NCic.Prod (n,so,ta)
175 | NCic.Sort (NCic.Type [(`CProp|`Type),_]) as orig when test_eq_only ->
177 | NCic.Sort (NCic.Type _) when test_eq_only -> raise exc
178 | NCic.Sort (NCic.Type u) when is_sup ->
179 metasenv, NCic.Sort (NCic.Type (unopt exc (NCicEnvironment.sup u)))
180 | NCic.Sort (NCic.Type u) ->
181 metasenv, NCic.Sort (NCic.Type
182 (unopt exc (NCicEnvironment.inf ~strict:false u)))
183 | NCic.Meta (n,_) as orig ->
185 let _,_,_,_ = NCicUtils.lookup_subst n subst in metasenv,orig
186 with NCicUtils.Subst_not_found _ ->
187 let metasenv, _ = NCicMetaSubst.extend_meta metasenv n in
190 NCicUntrusted.map_term_fold_a (fun _ x -> x) test_eq_only aux metasenv t
192 aux test_eq_only metasenv t
193 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
196 let metasenv_to_subst n (kind,context,ty) metasenv subst =
197 let infos,metasenv = List.partition (fun (n',_) -> n = n') metasenv in
198 let attrs,octx,oty = match infos with [_,infos] -> infos | _ -> assert false in
199 if octx=context && oty=ty then
200 (n,(NCicUntrusted.set_kind kind attrs, octx, oty))::metasenv,subst
202 let metasenv, _, bo, _ =
203 NCicMetaSubst.mk_meta metasenv context ~attrs ~with_type:ty kind in
204 let subst = (n,(NCicUntrusted.set_kind kind attrs,octx,bo,oty))::subst in
208 let rec sortfy exc metasenv subst context t =
209 let t = NCicReduction.whd ~subst context t in
212 | NCic.Sort _ -> metasenv, subst
214 let attrs, context, ty = NCicUtils.lookup_meta n metasenv in
215 let kind = NCicUntrusted.kind_of_meta attrs in
216 if kind = `IsSort then
220 | NCic.Implicit (`Typeof _) ->
221 metasenv_to_subst n (`IsSort,[],ty) metasenv subst
223 let metasenv,subst,ty = sortfy exc metasenv subst context ty in
224 metasenv_to_subst n (`IsSort,[],ty) metasenv subst)
225 | NCic.Implicit _ -> assert false
230 let tipify exc metasenv subst context t ty =
232 match NCicUntrusted.kind_of_meta attrs with
233 `IsType | `IsSort -> true
236 let rec optimize_meta metasenv subst =
240 let attrs,_,_ = NCicUtils.lookup_meta n metasenv in
241 if is_type attrs then
244 let _,cc,ty = NCicUtils.lookup_meta n metasenv in
245 let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
247 NCicUntrusted.replace_in_metasenv n
248 (fun attrs,cc,_ -> NCicUntrusted.set_kind `IsType attrs, cc, ty)
253 NCicUtils.Meta_not_found _ ->
254 let attrs, _,bo,_ = NCicUtils.lookup_subst n subst in
255 if is_type attrs then
258 let _,cc,_,ty = NCicUtils.lookup_subst n subst in
259 let metasenv,subst,ty = sortfy exc metasenv subst cc ty in
261 NCicUntrusted.replace_in_subst n
262 (fun attrs,cc,bo,_->NCicUntrusted.set_kind `IsType attrs,cc,bo,ty)
265 optimize_meta metasenv subst (NCicSubstitution.subst_meta lc bo))
266 | _ -> metasenv,subst,false
268 let metasenv,subst,b = optimize_meta metasenv subst t in
272 let metasenv,subst,_ = sortfy exc metasenv subst context ty in
276 let rec instantiate rdb test_eq_only metasenv subst context n lc t swap =
277 (*D*) inside 'I'; try let rc =
278 pp (lazy(string_of_int n^" :=?= "^ppterm ~metasenv ~subst ~context t));
280 UnificationFailure (mk_msg metasenv subst context (NCic.Meta (n,lc)) t) in
281 let move_to_subst i ((_,cc,t,_) as infos) metasenv subst =
282 let metasenv = List.remove_assoc i metasenv in
283 pp(lazy(string_of_int n ^ " :==> "^ ppterm ~metasenv ~subst ~context:cc t));
284 metasenv, (i,infos) :: subst
286 let delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv subst =
287 pp (lazy(string_of_int n ^ " := 111 = "^
288 ppterm ~metasenv ~subst ~context t));
289 let (metasenv, subst), t =
292 ~unify:(fun m s c t1 t2 ->
295 try Some (unify rdb test_eq_only m s c t1 t2 false)
296 with UnificationFailure _ | Uncertain _ -> None
299 metasenv subst context n lc t
300 with NCicMetaSubst.Uncertain msg ->
301 pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
302 raise (Uncertain msg)
303 | NCicMetaSubst.MetaSubstFailure msg ->
304 pp (lazy ("delift fails: " ^ Lazy.force msg));
305 raise (UnificationFailure msg)
307 pp (lazy(string_of_int n ^ " := 222 = "^
308 ppterm ~metasenv ~subst ~context:cc t^ppmetasenv ~subst metasenv));
309 (* Unifying the types may have already instantiated n. *)
311 let _, _,oldt,_ = NCicUtils.lookup_subst n subst in
312 let oldt = NCicSubstitution.subst_meta lc oldt in
313 let t = NCicSubstitution.subst_meta lc t in
314 (* conjecture: always fail --> occur check *)
315 unify rdb test_eq_only metasenv subst context t oldt false
316 with NCicUtils.Subst_not_found _ ->
317 move_to_subst n (attrs,cc,t,ty) metasenv subst
319 let attrs,cc,ty = NCicUtils.lookup_meta n metasenv in
320 let kind = NCicUntrusted.kind_of_meta attrs in
321 let metasenv,t = fix metasenv subst swap test_eq_only exc t in
322 let ty_t = NCicTypeChecker.typeof ~metasenv ~subst context t in
323 let metasenv,subst,t =
325 `IsSort -> sortfy exc metasenv subst context t
326 | `IsType -> tipify exc metasenv subst context t ty_t
327 | `IsTerm -> metasenv,subst,t in
331 NCic.Implicit (`Typeof _), NCic.Sort _ ->
332 move_to_subst n (attrs,cc,t,ty_t) metasenv subst
333 | NCic.Sort (NCic.Type u1), NCic.Sort s ->
336 NCic.Type u2, false ->
338 (unopt exc (NCicEnvironment.inf ~strict:false
339 (unopt exc (NCicEnvironment.inf ~strict:true u1) @ u2))))
340 | NCic.Type u2, true ->
341 if NCicEnvironment.universe_lt u2 u1 then
342 NCic.Sort (NCic.Type u2)
344 | NCic.Prop,_ -> NCic.Sort NCic.Prop
346 move_to_subst n (attrs,cc,s,ty) metasenv subst
347 | NCic.Implicit (`Typeof _), NCic.Meta _ ->
348 move_to_subst n (attrs,cc,t,ty_t) metasenv subst
350 | NCic.Meta _, NCic.Sort _ ->
351 pp (lazy ("On the types: " ^
352 ppterm ~metasenv ~subst ~context ty ^ "=<=" ^
353 ppterm ~metasenv ~subst ~context ty_t));
354 let metasenv, subst =
355 unify rdb false metasenv subst context ty_t ty false in
356 delift_to_subst test_eq_only n lc (attrs,cc,ty) t
357 context metasenv subst
362 NCic.Implicit (`Typeof _) ->
363 let (metasenv, subst), ty_t =
366 ~unify:(fun m s c t1 t2 ->
368 let res = try Some (unify rdb test_eq_only m s c t1 t2 false )
369 with UnificationFailure _ | Uncertain _ -> None
372 metasenv subst context n lc ty_t
373 with NCicMetaSubst.Uncertain msg ->
374 pp (lazy ("delift is uncertain: " ^ Lazy.force msg));
375 raise (Uncertain msg)
376 | NCicMetaSubst.MetaSubstFailure msg ->
377 pp (lazy ("delift fails: " ^ Lazy.force msg));
378 raise (UnificationFailure msg)
380 delift_to_subst test_eq_only n lc (attrs,cc,ty_t) t context metasenv
383 let lty = NCicSubstitution.subst_meta lc ty in
384 pp (lazy ("On the types: " ^
385 ppterm ~metasenv ~subst ~context lty ^ "=<=" ^
386 ppterm ~metasenv ~subst ~context ty_t));
387 let metasenv, subst =
388 unify rdb false metasenv subst context ty_t lty false
390 delift_to_subst test_eq_only n lc (attrs,cc,ty) t context metasenv
392 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
394 and unify rdb test_eq_only metasenv subst context t1 t2 swap =
395 (*D*) inside 'U'; try let rc =
396 let fo_unif test_eq_only metasenv subst (norm1,t1) (norm2,t2) =
397 (*D*) inside 'F'; try let rc =
398 pp (lazy(" " ^ ppterm ~metasenv ~subst ~context t1 ^
399 (if swap then " ==>?== "
401 ppterm ~metasenv ~subst ~context t2 ^ ppmetasenv
403 pp (lazy(" " ^ ppterm ~metasenv ~subst:[] ~context t1 ^
404 (if swap then " ==>??== "
406 ppterm ~metasenv ~subst:[] ~context t2 ^ ppmetasenv
410 (* CSC: To speed up Oliboni's stuff. Why is it necessary, anyway?
412 NCicUntrusted.metas_of_term subst context t1 = [] &&
413 NCicUntrusted.metas_of_term subst context t2 = []
415 if NCicReduction.are_convertible ~metasenv ~subst context t1 t2 then
418 raise (UnificationFailure (lazy "Closed terms not convertible"))
422 | C.Appl [_], _ | _, C.Appl [_] | C.Appl [], _ | _, C.Appl []
423 | C.Appl (C.Appl _::_), _ | _, C.Appl (C.Appl _::_) ->
424 prerr_endline "Appl [Appl _;_] or Appl [] or Appl [_] invariant";
426 | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
427 let a, b = if swap then b,a else a,b in
428 if NCicEnvironment.universe_leq a b then metasenv, subst
429 else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
430 | (C.Sort (C.Type a), C.Sort (C.Type b)) ->
431 if NCicEnvironment.universe_eq a b then metasenv, subst
432 else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
433 | (C.Sort C.Prop,C.Sort (C.Type _)) when not swap ->
434 if (not test_eq_only) then metasenv, subst
435 else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
436 | (C.Sort (C.Type _), C.Sort C.Prop) when swap ->
437 if (not test_eq_only) then metasenv, subst
438 else raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
440 | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2))
441 | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
442 let metasenv, subst = unify rdb true metasenv subst context s1 s2 swap in
443 unify rdb test_eq_only metasenv subst ((name1, C.Decl s1)::context) t1 t2 swap
444 | (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
445 let metasenv,subst=unify rdb test_eq_only metasenv subst context ty1 ty2 swap in
446 let metasenv,subst=unify rdb test_eq_only metasenv subst context s1 s2 swap in
447 let context = (name1, C.Def (s1,ty1))::context in
448 unify rdb test_eq_only metasenv subst context t1 t2 swap
450 | (C.Meta (n1,(s1,l1 as lc1)),C.Meta (n2,(s2,l2 as lc2))) when n1 = n2 ->
452 let l1 = NCicUtils.expand_local_context l1 in
453 let l2 = NCicUtils.expand_local_context l2 in
454 let metasenv, subst, to_restrict, _ =
456 (fun t1 t2 (metasenv, subst, to_restrict, i) ->
458 let metasenv, subst =
459 unify rdb (*test_eq_only*) true metasenv subst context
460 (NCicSubstitution.lift s1 t1) (NCicSubstitution.lift s2 t2)
463 metasenv, subst, to_restrict, i-1
464 with UnificationFailure _ | Uncertain _ ->
465 metasenv, subst, i::to_restrict, i-1)
466 l1 l2 (metasenv, subst, [], List.length l1)
468 if to_restrict <> [] then
469 let metasenv, subst, _, _ =
470 NCicMetaSubst.restrict metasenv subst n1 to_restrict
475 | Invalid_argument _ -> assert false
476 | NCicMetaSubst.MetaSubstFailure msg ->
478 let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
479 let term1 = NCicSubstitution.subst_meta lc1 term in
480 let term2 = NCicSubstitution.subst_meta lc2 term in
481 unify rdb test_eq_only metasenv subst context term1 term2 swap
482 with NCicUtils.Subst_not_found _-> raise (UnificationFailure msg))
484 | NCic.Appl (NCic.Meta (i,_)::_ as l1),
485 NCic.Appl (NCic.Meta (j,_)::_ as l2) when i=j ->
488 (fun (metasenv, subst) t1 t2 ->
489 unify rdb (*test_eq_only*) true metasenv subst context t1
491 (metasenv,subst) l1 l2
492 with Invalid_argument _ ->
493 raise (UnificationFailure (mk_msg metasenv subst context t1 t2)))
495 | _, NCic.Meta (n, _) when is_locked n subst && not swap->
496 (let (metasenv, subst), i =
497 match NCicReduction.whd ~subst context t1 with
498 | NCic.Appl (NCic.Meta (i,l) as meta :: args) ->
499 let metasenv, lambda_Mj =
500 lambda_intros rdb metasenv subst context (List.length args)
501 (NCicTypeChecker.typeof ~metasenv ~subst context meta)
503 unify rdb test_eq_only metasenv subst context
504 (C.Meta (i,l)) lambda_Mj false,
506 | NCic.Meta (i,_) -> (metasenv, subst), i
508 raise (UnificationFailure (lazy "Locked term vs non
509 flexible term; probably not saturated enough yet!"))
511 let t1 = NCicReduction.whd ~subst context t1 in
513 match t1 with NCic.Meta (j,l) -> j, l | _ -> assert false
515 let metasenv, subst =
516 instantiate rdb test_eq_only metasenv subst context j lj t2 true
518 (* We need to remove the out_scope_tags to avoid propagation of
519 them that triggers again the ad-hoc case *)
521 List.map (fun (i,(tag,ctx,bo,ty)) ->
524 (function `InScope | `OutScope _ -> false | _ -> true) tag
530 let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
531 let term = eta_reduce subst term in
532 let subst = List.filter (fun (j,_) -> j <> i) subst in
533 metasenv, ((i, (name, ctx, term, ty)) :: subst)
534 with Not_found -> assert false))
535 | NCic.Meta (n, _), _ when is_locked n subst && swap ->
536 unify rdb test_eq_only metasenv subst context t2 t1 false
538 | t, C.Meta (n,lc) when List.mem_assoc n subst ->
539 let _,_,term,_ = NCicUtils.lookup_subst n subst in
540 let term = NCicSubstitution.subst_meta lc term in
541 unify rdb test_eq_only metasenv subst context t term swap
542 | C.Meta (n,_), _ when List.mem_assoc n subst ->
543 unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
545 | _, NCic.Appl (NCic.Meta (i,l)::args) when List.mem_assoc i subst ->
546 let _,_,term,_ = NCicUtils.lookup_subst i subst in
547 let term = NCicSubstitution.subst_meta l term in
548 unify rdb test_eq_only metasenv subst context t1
549 (mk_appl ~upto:(List.length args) term args) swap
550 | NCic.Appl (NCic.Meta (i,_)::_), _ when List.mem_assoc i subst ->
551 unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
553 | C.Meta (n,_), C.Meta (m,lc') when
554 let _,cc1,_ = NCicUtils.lookup_meta n metasenv in
555 let _,cc2,_ = NCicUtils.lookup_meta m metasenv in
556 (n < m && cc1 = cc2) ||
557 let len1 = List.length cc1 in
558 let len2 = List.length cc2 in
559 len2 < len1 && cc2 = fst (HExtlib.split_nth len2 cc1) ->
560 instantiate rdb test_eq_only metasenv subst context m lc'
561 (NCicReduction.head_beta_reduce ~subst t1) (not swap)
562 | C.Meta (n,lc), t ->
563 instantiate rdb test_eq_only metasenv subst context n lc
564 (NCicReduction.head_beta_reduce ~subst t) swap
565 | t, C.Meta (n,lc) ->
566 instantiate rdb test_eq_only metasenv subst context n lc
567 (NCicReduction.head_beta_reduce ~subst t) (not swap)
569 | NCic.Appl (NCic.Meta (i,l) as meta :: args), _ ->
570 let metasenv, lambda_Mj =
571 lambda_intros rdb metasenv subst context (List.length args)
572 (NCicTypeChecker.typeof ~metasenv ~subst context meta)
574 let metasenv, subst =
576 unify rdb test_eq_only metasenv subst context
577 (C.Meta (i,l)) lambda_Mj swap
578 with UnificationFailure msg | Uncertain msg when not norm2->
579 (* failure: let's try again argument vs argument *)
580 raise (KeepReducing msg)
582 let metasenv, subst =
583 unify rdb test_eq_only metasenv subst context t1 t2 swap
586 let name, ctx, term, ty = NCicUtils.lookup_subst i subst in
587 let term = eta_reduce subst term in
588 let subst = List.filter (fun (j,_) -> j <> i) subst in
589 metasenv, ((i, (name, ctx, term, ty)) :: subst)
590 with Not_found -> assert false)
591 | _, NCic.Appl (NCic.Meta (_,_) :: _) ->
592 unify rdb test_eq_only metasenv subst context t2 t1 (not swap)
594 (* processing this case here we avoid a useless small delta step *)
595 | (C.Appl ((C.Const r1) as _hd1::tl1), C.Appl (C.Const r2::tl2))
597 let relevance = NCicEnvironment.get_relevance r1 in
598 let metasenv, subst, _ =
601 (fun (metasenv, subst, relevance) t1 t2 ->
603 match relevance with b::tl -> b,tl | _ -> true, [] in
604 let metasenv, subst =
605 try unify rdb test_eq_only metasenv subst context t1 t2
607 with UnificationFailure _ | Uncertain _ when not b ->
610 metasenv, subst, relevance)
611 (metasenv, subst, relevance) tl1 tl2
613 Invalid_argument _ ->
614 raise (Uncertain (mk_msg metasenv subst context t1 t2))
615 | UnificationFailure _ | Uncertain _ when not (norm1 && norm2) ->
616 raise (KeepReducing (mk_msg metasenv subst context t1 t2))
617 | KeepReducing _ | KeepReducingThis _ -> assert false
621 | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
622 C.Match (ref2,outtype2,term2,pl2)) ->
623 let _,_,itl,_,_ = NCicEnvironment.get_checked_indtys ref1 in
624 let _,_,ty,_ = List.nth itl tyno in
625 let rec remove_prods ~subst context ty =
626 let ty = NCicReduction.whd ~subst context ty in
629 | C.Prod (name,so,ta) ->
630 remove_prods ~subst ((name,(C.Decl so))::context) ta
634 match remove_prods ~subst [] ty with
635 | C.Sort C.Prop -> true
638 if not (Ref.eq ref1 ref2) then
639 raise (Uncertain (mk_msg metasenv subst context t1 t2))
641 let metasenv, subst =
642 unify rdb test_eq_only metasenv subst context outtype1 outtype2 swap in
643 let metasenv, subst =
644 try unify rdb test_eq_only metasenv subst context term1 term2 swap
645 with UnificationFailure _ | Uncertain _ when is_prop ->
650 (fun (metasenv,subst) t1 t2 ->
651 unify rdb test_eq_only metasenv subst context t1 t2 swap)
652 (metasenv, subst) pl1 pl2
653 with Invalid_argument _ -> assert false)
654 | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
655 | _ when norm1 && norm2 ->
656 if (could_reduce t1 || could_reduce t2) then
657 raise (Uncertain (mk_msg metasenv subst context t1 t2))
659 raise (UnificationFailure (mk_msg metasenv subst context t1 t2))
660 | _ -> raise (KeepReducing (mk_msg metasenv subst context t1 t2))
661 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
663 let try_hints metasenv subst (_,t1 as mt1) (_,t2 as mt2) (* exc*) =
664 (*D*) inside 'H'; try let rc =
665 pp(lazy ("\nProblema:\n" ^
666 ppterm ~metasenv ~subst ~context t1 ^ " =?= " ^
667 ppterm ~metasenv ~subst ~context t2));
669 NCicUnifHint.look_for_hint rdb metasenv subst context t1 t2
671 let rec cand_iter = function
672 | [] -> None (* raise exc *)
673 | (metasenv,(c1,c2),premises)::tl ->
674 pp (lazy ("\nProvo il candidato:\n" ^
678 ppterm ~metasenv ~subst ~context a ^ " =?= " ^
679 ppterm ~metasenv ~subst ~context b) premises) ^
680 "\n-------------------------------------------\n"^
681 ppterm ~metasenv ~subst ~context c1 ^ " = " ^
682 ppterm ~metasenv ~subst ~context c2));
684 (*D*) inside 'K'; try let rc =
686 fo_unif test_eq_only metasenv subst mt1 (false,c1) in
688 fo_unif test_eq_only metasenv subst (false,c2) mt2 in
691 (fun (metasenv, subst) (x,y) ->
692 unify rdb test_eq_only metasenv subst context x y false)
693 (metasenv, subst) premises
695 pp(lazy("FUNZIONA!"));
696 Some (metasenv, subst)
697 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
699 KeepReducing _ | UnificationFailure _ | Uncertain _ -> cand_iter tl
700 | KeepReducingThis _ -> assert false
703 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
705 let put_in_whd m1 m2 =
706 NCicReduction.reduce_machine ~delta:max_int ~subst context m1,
707 NCicReduction.reduce_machine ~delta:max_int ~subst context m2
709 let fo_unif_w_hints test_eq_only metasenv subst (_,t1 as m1) (_,t2 as m2) =
710 try fo_unif test_eq_only metasenv subst m1 m2
712 | UnificationFailure _ as exn -> raise exn
713 | KeepReducing _ | Uncertain _ as exn ->
714 let (t1,norm1 as tm1),(t2,norm2 as tm2) =
715 put_in_whd (0,[],t1,[]) (0,[],t2,[])
718 try_hints metasenv subst
719 (norm1,NCicReduction.unwind t1) (norm2,NCicReduction.unwind t2)
724 | KeepReducing msg -> raise (KeepReducingThis (msg,tm1,tm2))
725 | Uncertain _ as exn -> raise exn
728 let height_of = function
729 | NCic.Const (Ref.Ref (_,Ref.Def h))
730 | NCic.Const (Ref.Ref (_,Ref.Fix (_,_,h)))
731 | NCic.Appl(NCic.Const(Ref.Ref(_,Ref.Def h))::_)
732 | NCic.Appl(NCic.Const(Ref.Ref(_,Ref.Fix (_,_,h)))::_) -> h
735 let small_delta_step ~subst
736 ((_,_,t1,_ as m1, norm1) as x1) ((_,_,t2,_ as m2, norm2) as x2)
738 assert (not (norm1 && norm2));
740 x1,NCicReduction.reduce_machine ~delta:0 ~subst context m2
742 NCicReduction.reduce_machine ~delta:0 ~subst context m1,x2
744 let h1 = height_of t1 in
745 let h2 = height_of t2 in
746 let delta = if h1 = h2 then max 0 (h1 -1) else min h1 h2 in
747 NCicReduction.reduce_machine ~delta ~subst context m1,
748 NCicReduction.reduce_machine ~delta ~subst context m2
750 let rec unif_machines metasenv subst =
752 | ((k1,e1,t1,s1),norm1 as m1),((k2,e2,t2,s2),norm2 as m2) ->
753 (*D*) inside 'M'; try let rc =
755 ppterm ~metasenv ~subst ~context
756 (NCicReduction.unwind (k1,e1,t1,s1)) ^
758 ppterm ~metasenv ~subst ~context
759 (NCicReduction.unwind (k2,e2,t2,s2))));
760 pp (lazy (string_of_bool norm1 ^ " ?? " ^ string_of_bool norm2));
761 let relevance = [] (* TO BE UNDERSTOOD
763 | C.Const r -> NCicEnvironment.get_relevance r
765 let unif_from_stack t1 t2 b metasenv subst =
767 let t1 = NCicReduction.from_stack ~delta:max_int t1 in
768 let t2 = NCicReduction.from_stack ~delta:max_int t2 in
769 unif_machines metasenv subst (put_in_whd t1 t2)
770 with UnificationFailure _ | Uncertain _ when not b ->
773 let rec check_stack l1 l2 r todo =
775 | x1::tl1, x2::tl2, r::tr-> check_stack tl1 tl2 tr ((x1,x2,r)::todo)
776 | x1::tl1, x2::tl2, []-> check_stack tl1 tl2 [] ((x1,x2,true)::todo)
778 NCicReduction.unwind (k1,e1,t1,List.rev l1),
779 NCicReduction.unwind (k2,e2,t2,List.rev l2),
782 let hh1,hh2,todo=check_stack (List.rev s1) (List.rev s2) relevance [] in
785 fo_unif_w_hints test_eq_only metasenv subst (norm1,hh1) (norm2,hh2) in
787 (fun (metasenv,subst) (x1,x2,r) ->
788 unif_from_stack x1 x2 r metasenv subst
789 ) (metasenv,subst) todo
791 | KeepReducing _ -> assert false
792 | KeepReducingThis _ ->
793 assert (not (norm1 && norm2));
794 unif_machines metasenv subst (small_delta_step ~subst m1 m2)
795 | UnificationFailure _ | Uncertain _ when (not (norm1 && norm2))
796 -> unif_machines metasenv subst (small_delta_step ~subst m1 m2)
797 | UnificationFailure msg
798 when could_reduce (NCicReduction.unwind (fst m1))
799 || could_reduce (NCicReduction.unwind (fst m2))
800 -> raise (Uncertain msg)
801 (*D*) in outside None; rc with exn -> outside (Some exn); raise exn
803 try fo_unif_w_hints test_eq_only metasenv subst (false,t1) (false,t2)
805 | KeepReducingThis (msg,tm1,tm2) ->
807 unif_machines metasenv subst (tm1,tm2)
809 | UnificationFailure _ -> raise (UnificationFailure msg)
810 | Uncertain _ -> raise (Uncertain msg)
811 | KeepReducing _ -> assert false)
812 | KeepReducing _ -> assert false
814 (*D*) in outside None; rc with KeepReducing _ -> assert false | exn -> outside (Some exn); raise exn
816 and delift_type_wrt_terms rdb metasenv subst context t args =
817 let lc = List.rev args @ mk_irl (List.length context) (List.length args+1) in
818 let (metasenv, subst), t =
821 ~unify:(fun m s c t1 t2 ->
824 try Some (unify rdb false m s c t1 t2 false)
825 with UnificationFailure _ | Uncertain _ -> None
828 metasenv subst context 0 (0,NCic.Ctx lc) t
830 NCicMetaSubst.MetaSubstFailure _
831 | NCicMetaSubst.Uncertain _ -> (metasenv, subst), t
837 let unify rdb ?(test_eq_only=false) ?(swap=false) metasenv subst context t1 t2=
839 unify rdb test_eq_only metasenv subst context t1 t2 swap;;
842 fix m s true false (UnificationFailure (lazy "no sup"))