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_status status =
55 pp (lazy (NCicPp.ppobj status#obj))
58 type cic_term = NCic.context * NCic.term
59 let ctx_of (c,_) = c ;;
60 let mk_cic_term c t = c,t ;;
63 let uri,height,metasenv,subst,obj = status#obj in
65 NCicPp.ppterm ~metasenv ~subst ~context t
68 let ppcontext status c =
69 let uri,height,metasenv,subst,obj = status#obj in
70 NCicPp.ppcontext ~metasenv ~subst c
73 let ppterm_and_context status t =
74 let uri,height,metasenv,subst,obj = status#obj in
76 NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
77 NCicPp.ppterm ~metasenv ~subst ~context t
80 let relocate status destination (source,t as orig) =
81 pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
82 pp(lazy("relocate in:\n" ^ ppcontext status destination));
84 if source == destination then status, orig else
85 let _, _, metasenv, subst, _ = status#obj in
86 let rec compute_ops ctx = function (* destination, source *)
87 | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
89 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
90 compute_ops (e::ctx) (cl1,cl2)
92 [ `Delift ctx; `Lift (List.rev ex) ]
93 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
95 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
96 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
97 compute_ops (e::ctx) (cl1,cl2)
99 [ `Delift ctx; `Lift (List.rev ex) ]
100 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
102 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
103 compute_ops (e::ctx) (cl1,cl2)
105 [ `Delift ctx; `Lift (List.rev ex) ]
106 | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
107 [ `Delift ctx; `Lift (List.rev ex) ]
108 | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
109 | [], _::_ -> [ `Delift ctx ]
112 let ops = compute_ops [] (List.rev destination, List.rev source) in
113 let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
115 (fun (status, (source,t)) -> function
117 let len = List.length extra_ctx in
118 status, (extra_ctx@source, NCicSubstitution.lift len t)
120 let len_ctx = List.length ctx in
121 let irl = mk_irl 1 (List.length ctx) in
122 let lc = List.length source - len_ctx, NCic.Ctx irl in
123 let u, d, metasenv, subst, o = status#obj in
124 pp(lazy("delifting as " ^
125 NCicPp.ppterm ~metasenv ~subst ~context:source
126 (NCic.Meta (0,lc))));
127 let (metasenv, subst), t =
129 ~unify:(fun m s c t1 t2 ->
130 try Some (NCicUnification.unify status m s c t1 t2)
132 | NCicUnification.UnificationFailure _
133 | NCicUnification.Uncertain _ -> None)
134 metasenv subst source 0 lc t
136 let status = status#set_obj (u, d, metasenv, subst, o) in
140 pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
143 let relocate a b c = wrap "relocate" (relocate a b) c;;
145 let term_of_cic_term s t c =
146 let s, (_,t) = relocate s c t in
150 let disambiguate status context t ty =
153 | None -> status, None
155 let status, (_,x) = relocate status context ty in status, Some x
157 let uri,height,metasenv,subst,obj = status#obj in
158 let metasenv, subst, status, t =
159 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
161 let new_pstatus = uri,height,metasenv,subst,obj in
162 status#set_obj new_pstatus, (context, t)
164 let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
166 let typeof status ctx t =
167 let status, (_,t) = relocate status ctx t in
168 let _,_,metasenv,subst,_ = status#obj in
169 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
172 let typeof a b c = wrap "typeof" (typeof a b) c;;
174 let saturate status ?delta (ctx,t) =
175 let n,h,metasenv,subst,k = status#obj in
176 let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
177 let status = status#set_obj (n,h,metasenv,subst,k) in
178 status, (ctx,t), List.map (fun x -> ctx,x) args
180 let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
182 let whd status ?delta ctx t =
183 let status, (_,t) = relocate status ctx t in
184 let _,_,_,subst,_ = status#obj in
185 let t = NCicReduction.whd ~subst ?delta ctx t in
189 let normalize status ?delta ctx t =
190 let status, (_,t) = relocate status ctx t in
191 let _,_,_,subst,_ = status#obj in
192 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
196 let unify status ctx a b =
197 let status, (_,a) = relocate status ctx a in
198 let status, (_,b) = relocate status ctx b in
199 let n,h,metasenv,subst,o = status#obj in
200 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
201 status#set_obj (n,h,metasenv,subst,o)
203 let unify a b c d = wrap "unify" (unify a b c) d;;
205 let fix_sorts status (ctx,t) =
207 let name,height,metasenv,subst,obj = status#obj in
209 NCicUnification.fix_sorts metasenv subst t in
210 let status = status#set_obj (name,height,metasenv,subst,obj) in
213 wrap "fix_sorts" f ()
216 let refine status ctx term expty =
217 let status, (_,term) = relocate status ctx term in
222 let status, (_, e) = relocate status ctx e in status, Some e
224 let name,height,metasenv,subst,obj = status#obj in
225 let metasenv,subst,t,ty =
226 NCicRefiner.typeof status metasenv subst ctx term expty
228 status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
230 let refine a b c d = wrap "refine" (refine a b c) d;;
232 let get_goalty status g =
233 let _,_,metasenv,_,_ = status#obj in
235 let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
237 with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
240 let get_subst status =
241 let _,_,_,subst,_ = status#obj in subst
244 let to_subst status i entry =
245 let name,height,metasenv,subst,obj = status#obj in
246 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
247 let subst = (i, entry) :: subst in
248 status#set_obj (name,height,metasenv,subst,obj)
251 let instantiate status i t =
252 let _,_,metasenv,_,_ = status#obj in
253 let gname, context, gty = List.assoc i metasenv in
254 let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
255 to_subst status i (gname,context,t,ty)
258 let instantiate_with_ast status i t =
259 let _,_,metasenv,_,_ = status#obj in
260 let gname, context, gty = List.assoc i metasenv in
261 let ggty = mk_cic_term context gty in
262 let status, (_,t) = disambiguate status context t (Some ggty) in
263 to_subst status i (gname,context,t,gty)
266 let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
269 let status, (_,ty) = relocate status ctx ty in
270 let n,h,metasenv,subst,o = status#obj in
271 let metasenv, _, instance, _ =
272 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
274 let status = status#set_obj (n,h,metasenv,subst,o) in
275 status, (ctx,instance)
277 let status, (_,bo_ as bo) = relocate status ctx bo in
278 let status, (_,ty) = typeof status ctx bo in
279 let n,h,metasenv,subst,o = status#obj in
280 let metasenv, metano, instance, _ =
281 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
282 let attrs,_,_ = NCicUtils.lookup_meta metano metasenv in
283 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
284 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
285 let status = status#set_obj (n,h,metasenv,subst,o) in
286 status, (ctx,instance)
289 let mk_in_scope status t =
290 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
293 let mk_out_scope n status t =
294 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
297 (* the following unification problem will be driven by
298 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
302 * where argsn = length args and the pattern matches t
304 * found is called on every selected term to map them
305 * postprocess is called on the entire term after selection
308 low_status ~found ~postprocess (context,term) (wanted,path)
310 let is_found status ctx t wanted =
311 (* we could lift wanted step-by-step *)
312 pp(lazy("is_found: "^ppterm status (ctx,t)));
313 try true, unify status ctx (ctx, t) wanted
315 | Error (_, Some (NCicUnification.UnificationFailure _))
316 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
318 let match_term status ctx (wanted : cic_term) t =
319 let rec aux ctx (status,already_found) t =
320 let b, status = is_found status ctx t wanted in
322 let status , (_,t) = found status (ctx, t) in
325 let _,_,_,subst,_ = status#obj in
327 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
328 let _,_,t,_ = NCicUtils.lookup_subst i subst in
329 aux ctx (status,already_found) t
330 | NCic.Meta _ -> (status,already_found),t
332 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
333 (status,already_found) t
335 aux ctx (status,false) t
337 let _,_,_,subst,_ = low_status#obj in
338 let rec select status ctx pat cic =
340 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
342 let _,_,t,_ = NCicUtils.lookup_subst i subst in
343 NCicSubstitution.subst_meta lc t
345 select status ctx pat cic
346 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
347 let status, t = select status ctx t1 t2 in
348 let status, s = select status ctx s1 s2 in
349 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
350 let status, b = select status ctx b1 b2 in
351 status, NCic.LetIn (n,t,s,b)
352 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
353 let status, s = select status ctx s1 s2 in
354 let ctx = (n, NCic.Decl s2) :: ctx in
355 let status, t = select status ctx t1 t2 in
356 status, NCic.Lambda (n,s,t)
357 | NCic.Prod (_,s1,t1), NCic.Prod (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.Prod (n,s,t)
362 | NCic.Appl l1, NCic.Appl l2 ->
365 (fun (status,l) x y ->
366 let status, x = select status ctx x y in
370 status, NCic.Appl (List.rev l)
371 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
372 let status, t = select status ctx t1 t2 in
373 let status, ot = select status ctx ot1 ot2 in
376 (fun (status,l) x y ->
377 let status, x = select status ctx x y in
381 status, NCic.Match (u,ot,t,List.rev pl)
382 | NCic.Implicit `Hole, t ->
385 let status', wanted = disambiguate status ctx wanted None in
386 pp(lazy("wanted: "^ppterm status' wanted));
387 let (status',found), t' = match_term status' ctx wanted t in
388 if found then status',t' else status,t
390 let (status,_),t = match_term status ctx (ctx,t) t in
392 | NCic.Implicit _, t -> status, t
394 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
395 ~context:[] ~subst:[] pat ^ " against " ^
396 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
398 pp(lazy ("select in: "^ppterm low_status (context,term)));
399 let status, term = select low_status context path term in
400 let term = (context, term) in
401 pp(lazy ("postprocess: "^ppterm low_status term));
402 postprocess status term
405 let analyse_indty status ty =
406 let status, reduct = whd status (ctx_of ty) ty in
409 | _,NCic.Const ref -> ref, []
410 | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
412 | _,_ -> fail (lazy ("not an inductive type")) in
413 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
414 let _,_,_,cl = List.nth tl i in
415 let consno = List.length cl in
416 let left, right = HExtlib.split_nth lno args in
417 status, (ref, consno, left, right)
420 let apply_subst status ctx t =
421 let status, (_,t) = relocate status ctx t in
422 let _,_,_,subst,_ = status#obj in
423 status, (ctx, NCicUntrusted.apply_subst subst ctx t)
426 let metas_of_term status (context,t) =
427 let _,_,_,subst,_ = status#obj in
428 NCicUntrusted.metas_of_term subst context t
431 (* ============= move this elsewhere ====================*)
433 class type ['stack] g_status =
439 class ['stack] status =
440 fun (o: NCic.obj) (s: 'stack) ->
445 method set_stack s = {< stack = s >}
446 method set_status : 'status. 'stack #g_status as 'status -> 'self
447 = fun o -> (self#set_pstatus o)#set_stack o#stack
450 class type lowtac_status = [unit] status
452 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
454 class type tac_status = [Continuationals.Stack.t] status
456 type 'status tactic = #tac_status as 'status -> 'status
458 module NCicInverseRelIndexable : Discrimination_tree.Indexable
459 with type input = cic_term and type constant_name = NUri.uri = struct
461 open Discrimination_tree
463 type input = cic_term
464 type constant_name = NUri.uri
466 let ppelem = function
467 | Constant (uri,arity) ->
468 "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
470 "("^string_of_int i ^ "," ^ string_of_int arity^")"
472 | Proposition -> "Prop"
477 let string_of_path l = String.concat "." (List.map ppelem l) ;;
479 let path_string_of (ctx,t) =
480 let len_ctx = List.length ctx in
481 let rec aux arity = function
482 | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
483 | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
484 | NCic.Appl [] -> assert false
485 | NCic.Appl (hd::tl) ->
486 aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
487 | NCic.Lambda _ | NCic.Prod _ -> [Variable]
488 (* I think we should CicSubstitution.subst Implicit t *)
489 | NCic.LetIn _ -> [Variable] (* z-reduce? *)
490 | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
491 | NCic.Rel i -> [Bound (len_ctx - i, arity)]
492 | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
493 | NCic.Sort _ -> assert (arity=0); [Datatype]
494 | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
495 | NCic.Match _ -> [Dead]
497 let path = aux 0 t in
498 (* prerr_endline (string_of_path path); *)
504 | Constant (u1,a1),Constant (u2,a2) ->
505 let x = NUri.compare u1 u2 in
506 if x = 0 then Pervasives.compare a1 a2 else x
507 | e1,e2 -> Pervasives.compare e1 e2
513 module Ncic_termOT : Set.OrderedType with type t = cic_term =
516 let compare = Pervasives.compare
519 module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
521 module InvRelDiscriminationTree =
522 Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)