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 exception Error of string lazy_t * exn option
20 let fail ?exn msg = raise (Error (msg,exn))
22 module NRef = NReference
27 | MultiPassDisambiguator.DisambiguationError _
28 | NCicRefiner.RefineFailure _
29 | NCicUnification.UnificationFailure _
30 | NCicTypeChecker.TypeCheckerFailure _
31 | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy fname)
34 class type g_pstatus =
36 inherit NEstatus.g_status
43 inherit NEstatus.status
46 method set_obj o = {< obj = o >}
47 method set_pstatus : 'status. #g_pstatus as 'status -> 'self
48 = fun o -> (self#set_estatus o)#set_obj o#obj
51 type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
52 type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
54 let pp_tac_status status =
55 prerr_endline (NCicPp.ppobj status#obj);
56 prerr_endline ("STACK:\n" ^ Continuationals.Stack.pp status#stack)
59 type cic_term = NCic.context * NCic.term
60 let ctx_of (c,_) = c ;;
61 let mk_cic_term c t = c,t ;;
64 let uri,height,metasenv,subst,obj = status#obj in
66 NCicPp.ppterm ~metasenv ~subst ~context t
69 let ppcontext status c =
70 let uri,height,metasenv,subst,obj = status#obj in
71 NCicPp.ppcontext ~metasenv ~subst c
74 let ppterm_and_context status t =
75 let uri,height,metasenv,subst,obj = status#obj in
77 NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
78 NCicPp.ppterm ~metasenv ~subst ~context t
81 let relocate status destination (source,t as orig) =
82 pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
83 pp(lazy("relocate in:\n" ^ ppcontext status destination));
85 if source == destination then status, orig else
86 let _, _, metasenv, subst, _ = status#obj in
87 let rec compute_ops ctx = function (* destination, source *)
88 | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
90 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
91 compute_ops (e::ctx) (cl1,cl2)
93 [ `Delift ctx; `Lift (List.rev ex) ]
94 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
96 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
97 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
98 compute_ops (e::ctx) (cl1,cl2)
100 [ `Delift ctx; `Lift (List.rev ex) ]
101 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
103 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
104 compute_ops (e::ctx) (cl1,cl2)
106 [ `Delift ctx; `Lift (List.rev ex) ]
107 | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
108 [ `Delift ctx; `Lift (List.rev ex) ]
109 | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
110 | [], _::_ -> [ `Delift ctx ]
113 let ops = compute_ops [] (List.rev destination, List.rev source) in
114 let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
116 (fun (status, (source,t)) -> function
118 let len = List.length extra_ctx in
119 status, (extra_ctx@source, NCicSubstitution.lift len t)
121 let len_ctx = List.length ctx in
122 let irl = mk_irl 1 (List.length ctx) in
123 let lc = List.length source - len_ctx, NCic.Ctx irl in
124 let u, d, metasenv, subst, o = status#obj in
125 pp(lazy("delifting as " ^
126 NCicPp.ppterm ~metasenv ~subst ~context:source
127 (NCic.Meta (0,lc))));
128 let (metasenv, subst), t =
130 ~unify:(fun m s c t1 t2 ->
131 try Some (NCicUnification.unify status m s c t1 t2)
133 | NCicUnification.UnificationFailure _
134 | NCicUnification.Uncertain _ -> None)
135 metasenv subst source 0 lc t
137 let status = status#set_obj (u, d, metasenv, subst, o) in
141 pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
144 let relocate a b c = wrap "relocate" (relocate a b) c;;
146 let term_of_cic_term s t c =
147 let s, (_,t) = relocate s c t in
151 let disambiguate status context t ty =
154 | None -> status, None
156 let status, (_,x) = relocate status context ty in status, Some x
158 let uri,height,metasenv,subst,obj = status#obj in
159 let metasenv, subst, status, t =
160 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
162 let new_pstatus = uri,height,metasenv,subst,obj in
163 status#set_obj new_pstatus, (context, t)
165 let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
167 let typeof status ctx t =
168 let status, (_,t) = relocate status ctx t in
169 let _,_,metasenv,subst,_ = status#obj in
170 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
173 let typeof a b c = wrap "typeof" (typeof a b) c;;
175 let saturate status ?delta (ctx,t) =
176 let n,h,metasenv,subst,k = status#obj in
177 let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
178 let status = status#set_obj (n,h,metasenv,subst,k) in
179 status, (ctx,t), List.map (fun x -> ctx,x) args
181 let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
183 let whd status ?delta ctx t =
184 let status, (_,t) = relocate status ctx t in
185 let _,_,_,subst,_ = status#obj in
186 let t = NCicReduction.whd ~subst ?delta ctx t in
190 let normalize status ?delta ctx t =
191 let status, (_,t) = relocate status ctx t in
192 let _,_,_,subst,_ = status#obj in
193 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
197 let unify status ctx a b =
198 let status, (_,a) = relocate status ctx a in
199 let status, (_,b) = relocate status ctx b in
200 let n,h,metasenv,subst,o = status#obj in
201 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
202 status#set_obj (n,h,metasenv,subst,o)
204 let unify a b c d = wrap "unify" (unify a b c) d;;
206 let fix_sorts status (ctx,t) =
208 let name,height,metasenv,subst,obj = status#obj in
210 NCicUnification.fix_sorts metasenv subst t in
211 let status = status#set_obj (name,height,metasenv,subst,obj) in
214 wrap "fix_sorts" f ()
217 let refine status ctx term expty =
218 let status, (_,term) = relocate status ctx term in
223 let status, (_, e) = relocate status ctx e in status, Some e
225 let name,height,metasenv,subst,obj = status#obj in
226 let metasenv,subst,t,ty =
227 NCicRefiner.typeof status metasenv subst ctx term expty
229 status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
231 let refine a b c d = wrap "refine" (refine a b c) d;;
233 let get_goalty status g =
234 let _,_,metasenv,_,_ = status#obj in
236 let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
238 with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
241 let get_subst status =
242 let _,_,_,subst,_ = status#obj in subst
245 let to_subst status i entry =
246 let name,height,metasenv,subst,obj = status#obj in
247 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
248 let subst = (i, entry) :: subst in
249 status#set_obj (name,height,metasenv,subst,obj)
252 let instantiate status ?refine:(dorefine=true) i t =
253 let _,_,metasenv,_,_ = status#obj in
254 let gname, context, gty = List.assoc i metasenv in
256 let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
257 to_subst status i (gname,context,t,ty)
259 let status,(_,ty) = typeof status context t in
260 to_subst status i (gname,context,snd t,ty)
263 let instantiate_with_ast status i t =
264 let _,_,metasenv,_,_ = status#obj in
265 let gname, context, gty = List.assoc i metasenv in
266 let ggty = mk_cic_term context gty in
267 let status, (_,t) = disambiguate status context t (Some ggty) in
268 to_subst status i (gname,context,t,gty)
271 let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
274 let status, (_,ty) = relocate status ctx ty in
275 let n,h,metasenv,subst,o = status#obj in
276 let metasenv, _, instance, _ =
277 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
279 let status = status#set_obj (n,h,metasenv,subst,o) in
280 status, (ctx,instance)
282 let status, (_,bo_ as bo) = relocate status ctx bo in
283 let status, (_,ty) = typeof status ctx bo in
284 let n,h,metasenv,subst,o = status#obj in
285 let metasenv, metano, instance, _ =
286 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
287 let attrs,_,_ = NCicUtils.lookup_meta metano metasenv in
288 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
289 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
290 let status = status#set_obj (n,h,metasenv,subst,o) in
291 status, (ctx,instance)
294 let mk_in_scope status t =
295 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
298 let mk_out_scope n status t =
299 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
302 (* the following unification problem will be driven by
303 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
307 * where argsn = length args and the pattern matches t
309 * found is called on every selected term to map them
310 * postprocess is called on the entire term after selection
313 low_status ~found ~postprocess (context,term) (wanted,path)
315 let is_found status ctx t wanted =
316 (* we could lift wanted step-by-step *)
317 pp(lazy("is_found: "^ppterm status (ctx,t)));
318 try true, unify status ctx (ctx, t) wanted
320 | Error (_, Some (NCicUnification.UnificationFailure _))
321 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
323 let match_term status ctx (wanted : cic_term) t =
324 let rec aux ctx (status,already_found) t =
325 let b, status = is_found status ctx t wanted in
327 let status , (_,t) = found status (ctx, t) in
330 let _,_,_,subst,_ = status#obj in
332 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
333 let _,_,t,_ = NCicUtils.lookup_subst i subst in
334 aux ctx (status,already_found) t
335 | NCic.Meta _ -> (status,already_found),t
337 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
338 (status,already_found) t
340 aux ctx (status,false) t
342 let _,_,_,subst,_ = low_status#obj in
343 let rec select status ctx pat cic =
345 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
347 let _,_,t,_ = NCicUtils.lookup_subst i subst in
348 NCicSubstitution.subst_meta lc t
350 select status ctx pat cic
351 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
352 let status, t = select status ctx t1 t2 in
353 let status, s = select status ctx s1 s2 in
354 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
355 let status, b = select status ctx b1 b2 in
356 status, NCic.LetIn (n,t,s,b)
357 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
358 let status, s = select status ctx s1 s2 in
359 let ctx = (n, NCic.Decl s2) :: ctx in
360 let status, t = select status ctx t1 t2 in
361 status, NCic.Lambda (n,s,t)
362 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
363 let status, s = select status ctx s1 s2 in
364 let ctx = (n, NCic.Decl s2) :: ctx in
365 let status, t = select status ctx t1 t2 in
366 status, NCic.Prod (n,s,t)
367 | NCic.Appl l1, NCic.Appl l2 ->
370 (fun (status,l) x y ->
371 let status, x = select status ctx x y in
375 status, NCic.Appl (List.rev l)
376 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
377 let status, t = select status ctx t1 t2 in
378 let status, ot = select status ctx ot1 ot2 in
381 (fun (status,l) x y ->
382 let status, x = select status ctx x y in
386 status, NCic.Match (u,ot,t,List.rev pl)
387 | NCic.Implicit `Hole, t ->
390 let status', wanted = disambiguate status ctx wanted None in
391 pp(lazy("wanted: "^ppterm status' wanted));
392 let (status',found), t' = match_term status' ctx wanted t in
393 if found then status',t' else status,t
395 let (status,_),t = match_term status ctx (ctx,t) t in
397 | NCic.Implicit _, t -> status, t
399 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
400 ~context:[] ~subst:[] pat ^ " against " ^
401 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
403 pp(lazy ("select in: "^ppterm low_status (context,term)));
404 let status, term = select low_status context path term in
405 let term = (context, term) in
406 pp(lazy ("postprocess: "^ppterm low_status term));
407 postprocess status term
410 let analyse_indty status ty =
411 let status, reduct = whd status (ctx_of ty) ty in
414 | _,NCic.Const ref -> ref, []
415 | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
417 | _,_ -> fail (lazy ("not an inductive type: " ^ ppterm status ty)) in
418 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
419 let _,_,_,cl = List.nth tl i in
420 let consno = List.length cl in
421 let left, right = HExtlib.split_nth lno args in
422 status, (ref, consno, left, right)
425 let apply_subst status ctx t =
426 let status, (_,t) = relocate status ctx t in
427 let _,_,_,subst,_ = status#obj in
428 status, (ctx, NCicUntrusted.apply_subst subst ctx t)
431 let apply_subst_context status ~fix_projections ctx =
432 let _,_,_,subst,_ = status#obj in
433 NCicUntrusted.apply_subst_context ~fix_projections subst ctx
436 let metas_of_term status (context,t) =
437 let _,_,_,subst,_ = status#obj in
438 NCicUntrusted.metas_of_term subst context t
441 (* ============= move this elsewhere ====================*)
443 class type ['stack] g_status =
449 class ['stack] status =
450 fun (o: NCic.obj) (s: 'stack) ->
455 method set_stack s = {< stack = s >}
456 method set_status : 'status. 'stack #g_status as 'status -> 'self
457 = fun o -> (self#set_pstatus o)#set_stack o#stack
460 class type lowtac_status = [unit] status
462 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
464 class type tac_status = [Continuationals.Stack.t] status
466 type 'status tactic = #tac_status as 'status -> 'status
468 module NCicInverseRelIndexable : Discrimination_tree.Indexable
469 with type input = cic_term and type constant_name = NUri.uri = struct
471 open Discrimination_tree
473 type input = cic_term
474 type constant_name = NUri.uri
476 let ppelem = function
477 | Constant (uri,arity) ->
478 "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
480 "("^string_of_int i ^ "," ^ string_of_int arity^")"
482 | Proposition -> "Prop"
487 let string_of_path l = String.concat "." (List.map ppelem l) ;;
489 let path_string_of (ctx,t) =
490 let len_ctx = List.length ctx in
491 let rec aux arity = function
492 | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
493 | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
494 | NCic.Appl [] -> assert false
495 | NCic.Appl (hd::tl) ->
496 aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
497 | NCic.Lambda _ | NCic.Prod _ -> [Variable]
498 (* I think we should CicSubstitution.subst Implicit t *)
499 | NCic.LetIn _ -> [Variable] (* z-reduce? *)
500 | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
501 | NCic.Rel i -> [Bound (len_ctx - i, arity)]
502 | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
503 | NCic.Sort _ -> assert (arity=0); [Datatype]
504 | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
505 | NCic.Match _ -> [Dead]
507 let path = aux 0 t in
508 (* prerr_endline (string_of_path path); *)
514 | Constant (u1,a1),Constant (u2,a2) ->
515 let x = NUri.compare u1 u2 in
516 if x = 0 then Pervasives.compare a1 a2 else x
517 | e1,e2 -> Pervasives.compare e1 e2
523 module Ncic_termOT : Set.OrderedType with type t = cic_term =
526 let compare = Pervasives.compare
529 module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
531 module InvRelDiscriminationTree =
532 Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)