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_______________________________________________________________ *)
12 (* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
14 let debug = ref false;;
16 if !debug then prerr_endline (Lazy.force x) else ()
19 type automation_cache = NDiscriminationTree.DiscriminationTree.t
20 type unit_eq_cache = NCicParamod.state
22 exception Error of string lazy_t * exn option
23 let fail ?exn msg = raise (Error (msg,exn))
25 module NRef = NReference
30 | MultiPassDisambiguator.DisambiguationError _
31 | NCicRefiner.RefineFailure _
32 | NCicUnification.UnificationFailure _
33 | NCicTypeChecker.TypeCheckerFailure _
34 | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy fname)
37 class type g_eq_status =
39 method eq_cache : unit_eq_cache
44 val eq_cache = NCicParamod.empty_state
45 method eq_cache = eq_cache
46 method set_eq_cache v = {< eq_cache = v >}
48 : 'status. #g_eq_status as 'status -> 'self
49 = fun o -> self#set_eq_cache o#eq_cache
52 class type g_auto_status =
54 method auto_cache : automation_cache
59 val auto_cache = NDiscriminationTree.DiscriminationTree.empty
60 method auto_cache = auto_cache
61 method set_auto_cache v = {< auto_cache = v >}
62 method set_auto_status
63 : 'status. #g_auto_status as 'status -> 'self
64 = fun o -> self#set_auto_cache o#auto_cache
67 class type g_pstatus =
69 inherit GrafiteDisambiguate.g_status
78 inherit GrafiteDisambiguate.status
83 method set_obj o = {< obj = o >}
84 method set_pstatus : 'status. #g_pstatus as 'status -> 'self
86 (((self#set_disambiguate_status o)#set_obj o#obj)#set_auto_status o)#set_eq_status o
89 type tactic_term = NotationPt.term Disambiguate.disambiguator_input
90 type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
92 let pp_tac_status status =
93 prerr_endline (NCicPp.ppobj status#obj);
94 prerr_endline ("STACK:\n" ^ Continuationals.Stack.pp status#stack)
97 type cic_term = NCic.context * NCic.term
98 let ctx_of (c,_) = c ;;
99 let mk_cic_term c t = c,t ;;
101 let ppterm status t =
102 let uri,height,metasenv,subst,obj = status#obj in
104 NCicPp.ppterm ~metasenv ~subst ~context t
107 let ppcontext status c =
108 let uri,height,metasenv,subst,obj = status#obj in
109 NCicPp.ppcontext ~metasenv ~subst c
112 let ppterm_and_context status t =
113 let uri,height,metasenv,subst,obj = status#obj in
115 NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
116 NCicPp.ppterm ~metasenv ~subst ~context t
119 let relocate status destination (source,t as orig) =
120 pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
121 pp(lazy("relocate in:\n" ^ ppcontext status destination));
123 if source == destination then status, orig else
124 let _, _, metasenv, subst, _ = status#obj in
125 let rec compute_ops ctx = function (* destination, source *)
126 | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
128 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
129 compute_ops (e::ctx) (cl1,cl2)
131 [ `Delift ctx; `Lift (List.rev ex) ]
132 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
134 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
135 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
136 compute_ops (e::ctx) (cl1,cl2)
138 [ `Delift ctx; `Lift (List.rev ex) ]
139 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
141 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
142 compute_ops (e::ctx) (cl1,cl2)
144 [ `Delift ctx; `Lift (List.rev ex) ]
145 | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
146 [ `Delift ctx; `Lift (List.rev ex) ]
147 | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
148 | [], _::_ -> [ `Delift ctx ]
151 let ops = compute_ops [] (List.rev destination, List.rev source) in
152 let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
154 (fun (status, (source,t)) -> function
156 let len = List.length extra_ctx in
157 status, (extra_ctx@source, NCicSubstitution.lift len t)
159 let len_ctx = List.length ctx in
160 let irl = mk_irl 1 (List.length ctx) in
161 let lc = List.length source - len_ctx, NCic.Ctx irl in
162 let u, d, metasenv, subst, o = status#obj in
163 pp(lazy("delifting as " ^
164 NCicPp.ppterm ~metasenv ~subst ~context:source
165 (NCic.Meta (0,lc))));
166 let (metasenv, subst), t =
168 ~unify:(fun m s c t1 t2 ->
169 try Some (NCicUnification.unify status m s c t1 t2)
171 | NCicUnification.UnificationFailure _
172 | NCicUnification.Uncertain _ -> None)
173 metasenv subst source 0 lc t
175 let status = status#set_obj (u, d, metasenv, subst, o) in
179 pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
182 let relocate a b c = wrap "relocate" (relocate a b) c;;
184 let term_of_cic_term s t c =
185 let s, (_,t) = relocate s c t in
189 let disambiguate status context t ty =
192 | None -> status, None
194 let status, (_,x) = relocate status context ty in status, Some x
196 let uri,height,metasenv,subst,obj = status#obj in
197 let metasenv, subst, status, t =
198 GrafiteDisambiguate.disambiguate_nterm status expty context metasenv subst t
200 let new_pstatus = uri,height,metasenv,subst,obj in
201 status#set_obj new_pstatus, (context, t)
203 let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
205 let typeof status ctx t =
206 let status, (_,t) = relocate status ctx t in
207 let _,_,metasenv,subst,_ = status#obj in
208 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
211 let typeof a b c = wrap "typeof" (typeof a b) c;;
213 let saturate status ?delta (ctx,t) =
214 let n,h,metasenv,subst,k = status#obj in
215 let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
216 let status = status#set_obj (n,h,metasenv,subst,k) in
217 status, (ctx,t), List.map (fun x -> ctx,x) args
219 let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
221 let whd status ?delta ctx t =
222 let status, (_,t) = relocate status ctx t in
223 let _,_,_,subst,_ = status#obj in
224 let t = NCicReduction.whd ~subst ?delta ctx t in
228 let normalize status ?delta ctx t =
229 let status, (_,t) = relocate status ctx t in
230 let _,_,_,subst,_ = status#obj in
231 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
235 let unify status ctx a b =
236 let status, (_,a) = relocate status ctx a in
237 let status, (_,b) = relocate status ctx b in
238 let n,h,metasenv,subst,o = status#obj in
239 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
240 status#set_obj (n,h,metasenv,subst,o)
242 let unify a b c d = wrap "unify" (unify a b c) d;;
244 let fix_sorts status (ctx,t) =
246 let name,height,metasenv,subst,obj = status#obj in
248 NCicUnification.fix_sorts metasenv subst t in
249 let status = status#set_obj (name,height,metasenv,subst,obj) in
252 wrap "fix_sorts" f ()
255 let refine status ctx term expty =
256 let status, (_,term) = relocate status ctx term in
261 let status, (_, e) = relocate status ctx e in status, Some e
263 let name,height,metasenv,subst,obj = status#obj in
264 let metasenv,subst,t,ty =
265 NCicRefiner.typeof status metasenv subst ctx term expty
267 status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
269 let refine a b c d = wrap "refine" (refine a b c) d;;
271 let get_goalty status g =
272 let _,_,metasenv,_,_ = status#obj in
274 let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
276 with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
279 let get_subst status =
280 let _,_,_,subst,_ = status#obj in subst
283 let to_subst status i entry =
284 let name,height,metasenv,subst,obj = status#obj in
285 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
286 let subst = (i, entry) :: subst in
287 status#set_obj (name,height,metasenv,subst,obj)
290 let instantiate status i t =
291 let _,_,metasenv,_,_ = status#obj in
292 let gname, context, gty = List.assoc i metasenv in
293 let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
294 to_subst status i (gname,context,t,ty)
297 let instantiate_with_ast status i t =
298 let _,_,metasenv,_,_ = status#obj in
299 let gname, context, gty = List.assoc i metasenv in
300 let ggty = mk_cic_term context gty in
301 let status, (_,t) = disambiguate status context t (Some ggty) in
302 to_subst status i (gname,context,t,gty)
305 let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
308 let status, (_,ty) = relocate status ctx ty in
309 let n,h,metasenv,subst,o = status#obj in
310 let metasenv, _, instance, _ =
311 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
313 let status = status#set_obj (n,h,metasenv,subst,o) in
314 status, (ctx,instance)
316 let status, (_,bo_ as bo) = relocate status ctx bo in
317 let status, (_,ty) = typeof status ctx bo in
318 let n,h,metasenv,subst,o = status#obj in
319 let metasenv, metano, instance, _ =
320 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
321 let attrs,_,_ = NCicUtils.lookup_meta metano metasenv in
322 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
323 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
324 let status = status#set_obj (n,h,metasenv,subst,o) in
325 status, (ctx,instance)
328 let mk_in_scope status t =
329 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
332 let mk_out_scope n status t =
333 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
336 (* the following unification problem will be driven by
337 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
341 * where argsn = length args and the pattern matches t
343 * found is called on every selected term to map them
344 * postprocess is called on the entire term after selection
347 low_status ~found ~postprocess (context,term) (wanted,path)
349 let is_found status ctx t wanted =
350 (* we could lift wanted step-by-step *)
351 pp(lazy("is_found: "^ppterm status (ctx,t)));
352 try true, unify status ctx (ctx, t) wanted
354 | Error (_, Some (NCicUnification.UnificationFailure _))
355 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
357 let match_term status ctx (wanted : cic_term) t =
358 let rec aux ctx (status,already_found) t =
359 let b, status = is_found status ctx t wanted in
361 let status , (_,t) = found status (ctx, t) in
364 let _,_,_,subst,_ = status#obj in
366 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
367 let _,_,t,_ = NCicUtils.lookup_subst i subst in
368 aux ctx (status,already_found) t
369 | NCic.Meta _ -> (status,already_found),t
371 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
372 (status,already_found) t
374 aux ctx (status,false) t
376 let _,_,_,subst,_ = low_status#obj in
377 let rec select status ctx pat cic =
379 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
381 let _,_,t,_ = NCicUtils.lookup_subst i subst in
382 NCicSubstitution.subst_meta lc t
384 select status ctx pat cic
385 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
386 let status, t = select status ctx t1 t2 in
387 let status, s = select status ctx s1 s2 in
388 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
389 let status, b = select status ctx b1 b2 in
390 status, NCic.LetIn (n,t,s,b)
391 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
392 let status, s = select status ctx s1 s2 in
393 let ctx = (n, NCic.Decl s2) :: ctx in
394 let status, t = select status ctx t1 t2 in
395 status, NCic.Lambda (n,s,t)
396 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
397 let status, s = select status ctx s1 s2 in
398 let ctx = (n, NCic.Decl s2) :: ctx in
399 let status, t = select status ctx t1 t2 in
400 status, NCic.Prod (n,s,t)
401 | NCic.Appl l1, NCic.Appl l2 ->
404 (fun (status,l) x y ->
405 let status, x = select status ctx x y in
409 status, NCic.Appl (List.rev l)
410 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
411 let status, t = select status ctx t1 t2 in
412 let status, ot = select status ctx ot1 ot2 in
415 (fun (status,l) x y ->
416 let status, x = select status ctx x y in
420 status, NCic.Match (u,ot,t,List.rev pl)
421 | NCic.Implicit `Hole, t ->
424 let status', wanted = disambiguate status ctx wanted None in
425 pp(lazy("wanted: "^ppterm status' wanted));
426 let (status',found), t' = match_term status' ctx wanted t in
427 if found then status',t' else status,t
429 let (status,_),t = match_term status ctx (ctx,t) t in
431 | NCic.Implicit _, t -> status, t
433 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
434 ~context:[] ~subst:[] pat ^ " against " ^
435 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
437 pp(lazy ("select in: "^ppterm low_status (context,term)));
438 let status, term = select low_status context path term in
439 let term = (context, term) in
440 pp(lazy ("postprocess: "^ppterm low_status term));
441 postprocess status term
444 let analyse_indty status ty =
445 let status, reduct = whd status (ctx_of ty) ty in
448 | _,NCic.Const ref -> ref, []
449 | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
451 | _,_ -> fail (lazy ("not an inductive type: " ^ ppterm status ty)) in
452 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
453 let _,_,_,cl = List.nth tl i in
454 let consno = List.length cl in
455 let left, right = HExtlib.split_nth lno args in
456 status, (ref, consno, left, right)
459 let apply_subst status ctx t =
460 let status, (_,t) = relocate status ctx t in
461 let _,_,_,subst,_ = status#obj in
462 status, (ctx, NCicUntrusted.apply_subst subst ctx t)
465 let apply_subst_context status ~fix_projections ctx =
466 let _,_,_,subst,_ = status#obj in
467 NCicUntrusted.apply_subst_context ~fix_projections subst ctx
470 let metas_of_term status (context,t) =
471 let _,_,_,subst,_ = status#obj in
472 NCicUntrusted.metas_of_term subst context t
475 (* ============= move this elsewhere ====================*)
477 class type ['stack] g_status =
483 class ['stack] status =
484 fun (o: NCic.obj) (s: 'stack) ->
489 method set_stack s = {< stack = s >}
490 method set_status : 'status. 'stack #g_status as 'status -> 'self
491 = fun o -> (self#set_pstatus o)#set_stack o#stack
494 class type lowtac_status = [unit] status
496 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
498 class type tac_status = [Continuationals.Stack.t] status
500 type 'status tactic = #tac_status as 'status -> 'status
502 module NCicInverseRelIndexable : Discrimination_tree.Indexable
503 with type input = cic_term and type constant_name = NUri.uri = struct
505 open Discrimination_tree
507 type input = cic_term
508 type constant_name = NUri.uri
510 let ppelem = function
511 | Constant (uri,arity) ->
512 "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
514 "("^string_of_int i ^ "," ^ string_of_int arity^")"
516 | Proposition -> "Prop"
521 let string_of_path l = String.concat "." (List.map ppelem l) ;;
523 let path_string_of (ctx,t) =
524 let len_ctx = List.length ctx in
525 let rec aux arity = function
526 | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
527 | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
528 | NCic.Appl [] -> assert false
529 | NCic.Appl (hd::tl) ->
530 aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
531 | NCic.Lambda _ | NCic.Prod _ -> [Variable]
532 (* I think we should CicSubstitution.subst Implicit t *)
533 | NCic.LetIn _ -> [Variable] (* z-reduce? *)
534 | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
535 | NCic.Rel i -> [Bound (len_ctx - i, arity)]
536 | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
537 | NCic.Sort _ -> assert (arity=0); [Datatype]
538 | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
539 | NCic.Match _ -> [Dead]
541 let path = aux 0 t in
542 (* prerr_endline (string_of_path path); *)
548 | Constant (u1,a1),Constant (u2,a2) ->
549 let x = NUri.compare u1 u2 in
550 if x = 0 then Pervasives.compare a1 a2 else x
551 | e1,e2 -> Pervasives.compare e1 e2
557 module Ncic_termOT : Set.OrderedType with type t = cic_term =
560 let compare = Pervasives.compare
563 module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
565 module InvRelDiscriminationTree =
566 Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)