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)
37 inherit NEstatus.status
40 method set_obj o = {< obj = o >}
43 type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
44 type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
46 let pp_status status =
47 pp (lazy (NCicPp.ppobj status#obj))
50 type cic_term = NCic.context * NCic.term
51 let ctx_of (c,_) = c ;;
54 let uri,height,metasenv,subst,obj = status#obj in
56 NCicPp.ppterm ~metasenv ~subst ~context t
59 let ppcontext status c =
60 let uri,height,metasenv,subst,obj = status#obj in
61 NCicPp.ppcontext ~metasenv ~subst c
64 let ppterm_and_context status t =
65 let uri,height,metasenv,subst,obj = status#obj in
67 NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
68 NCicPp.ppterm ~metasenv ~subst ~context t
71 let relocate status destination (source,t as orig) =
72 pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
73 pp(lazy("relocate in:\n" ^ ppcontext status destination));
75 if source == destination then status, orig else
76 let _, _, metasenv, subst, _ = status#obj in
77 let rec compute_ops ctx = function (* destination, source *)
78 | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
80 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
81 compute_ops (e::ctx) (cl1,cl2)
83 [ `Delift ctx; `Lift (List.rev ex) ]
84 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
86 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
87 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
88 compute_ops (e::ctx) (cl1,cl2)
90 [ `Delift ctx; `Lift (List.rev ex) ]
91 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
93 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
94 compute_ops (e::ctx) (cl1,cl2)
96 [ `Delift ctx; `Lift (List.rev ex) ]
97 | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
98 [ `Delift ctx; `Lift (List.rev ex) ]
99 | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
100 | [], _::_ -> [ `Delift ctx ]
103 let ops = compute_ops [] (List.rev destination, List.rev source) in
104 let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
106 (fun (status, (source,t)) -> function
108 let len = List.length extra_ctx in
109 status, (extra_ctx@source, NCicSubstitution.lift len t)
111 let len_ctx = List.length ctx in
112 let irl = mk_irl 1 (List.length ctx) in
113 let lc = List.length source - len_ctx, NCic.Ctx irl in
114 let u, d, metasenv, subst, o = status#obj in
115 pp(lazy("delifting as " ^
116 NCicPp.ppterm ~metasenv ~subst ~context:source
117 (NCic.Meta (0,lc))));
118 let (metasenv, subst), t =
120 ~unify:(fun m s c t1 t2 ->
121 try Some (NCicUnification.unify status m s c t1 t2)
123 | NCicUnification.UnificationFailure _
124 | NCicUnification.Uncertain _ -> None)
125 metasenv subst source 0 lc t
127 let status = status#set_obj (u, d, metasenv, subst, o) in
131 pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
134 let relocate a b c = wrap "relocate" (relocate a b) c;;
136 let term_of_cic_term s t c =
137 let s, (_,t) = relocate s c t in
141 let disambiguate status t ty context =
144 | None -> status, None
146 let status, (_,x) = relocate status context ty in status, Some x
148 let uri,height,metasenv,subst,obj = status#obj in
149 let metasenv, subst, status, t =
150 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
152 let new_pstatus = uri,height,metasenv,subst,obj in
153 status#set_obj new_pstatus, (context, t)
155 let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
157 let typeof status ctx t =
158 let status, (_,t) = relocate status ctx t in
159 let _,_,metasenv,subst,_ = status#obj in
160 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
163 let typeof a b c = wrap "typeof" (typeof a b) c;;
165 let saturate status (ctx,t) =
166 let n,h,metasenv,subst,k = status#obj in
167 let t, metasenv, args = NCicMetaSubst.saturate metasenv subst ctx t 0 in
168 let status = status#set_obj (n,h,metasenv,subst,k) in
169 status, (ctx,t), List.map (fun x -> ctx,x) args
171 let saturate a b = wrap "saturate" (saturate a) b;;
173 let whd status ?delta ctx t =
174 let status, (_,t) = relocate status ctx t in
175 let _,_,_,subst,_ = status#obj in
176 let t = NCicReduction.whd ~subst ?delta ctx t in
180 let normalize status ?delta ctx t =
181 let status, (_,t) = relocate status ctx t in
182 let _,_,_,subst,_ = status#obj in
183 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
187 let unify status ctx a b =
188 let status, (_,a) = relocate status ctx a in
189 let status, (_,b) = relocate status ctx b in
190 let n,h,metasenv,subst,o = status#obj in
191 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
192 status#set_obj (n,h,metasenv,subst,o)
194 let unify a b c d = wrap "unify" (unify a b c) d;;
196 let fix_sorts (ctx,t) =
198 let t = NCicUnification.fix_sorts t in
201 wrap "fix_sorts" f ()
204 let refine status ctx term expty =
205 let status, (_,term) = relocate status ctx term in
210 let status, (_, e) = relocate status ctx e in status, Some e
212 let name,height,metasenv,subst,obj = status#obj in
213 let metasenv,subst,t,ty =
214 NCicRefiner.typeof status metasenv subst ctx term expty
216 status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
218 let refine a b c d = wrap "refine" (refine a b c) d;;
220 let get_goalty status g =
221 let _,_,metasenv,_,_ = status#obj in
223 let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
225 with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
228 let instantiate status i t =
229 let _,_,metasenv,_,_ = status#obj in
230 let gname, context, gty = List.assoc i metasenv in
231 let status, (_,t), (_,ty) =
232 refine status context t (Some (context,gty))
235 let name,height,metasenv,subst,obj = status#obj in
236 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
237 let subst = (i, (gname, context, t, ty)) :: subst in
238 status#set_obj (name,height,metasenv,subst,obj)
241 let mk_meta status ?(attrs=[]) ctx bo_or_ty =
244 let status, (_,ty) = relocate status ctx ty in
245 let n,h,metasenv,subst,o = status#obj in
246 let metasenv, _, instance, _ =
247 NCicMetaSubst.mk_meta ~attrs metasenv ctx (`WithType ty)
249 let status = status#set_obj (n,h,metasenv,subst,o) in
250 status, (ctx,instance)
252 let status, (_,bo_ as bo) = relocate status ctx bo in
253 let status, (_,ty) = typeof status ctx bo in
254 let n,h,metasenv,subst,o = status#obj in
255 let metasenv, metano, instance, _ =
256 NCicMetaSubst.mk_meta ~attrs metasenv ctx (`WithType ty) in
257 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
258 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
259 let status = status#set_obj (n,h,metasenv,subst,o) in
260 status, (ctx,instance)
263 let mk_in_scope status t =
264 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t)
267 let mk_out_scope n status t =
268 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t)
271 (* the following unification problem will be driven by
272 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
276 * where argsn = length args and the pattern matches t
278 * found is called on every selected term to map them
279 * postprocess is called on the entire term after selection
282 low_status ~found ~postprocess (context,term) (wanted,path)
284 let is_found status ctx t wanted =
285 (* we could lift wanted step-by-step *)
286 pp(lazy("is_found: "^ppterm status (ctx,t)));
287 try true, unify status ctx (ctx, t) wanted
289 | Error (_, Some (NCicUnification.UnificationFailure _))
290 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
292 let match_term status ctx (wanted : cic_term) t =
293 let rec aux ctx (status,already_found) t =
294 let b, status = is_found status ctx t wanted in
296 let status , (_,t) = found status (ctx, t) in
299 let _,_,_,subst,_ = status#obj in
301 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
302 let _,_,t,_ = NCicUtils.lookup_subst i subst in
303 aux ctx (status,already_found) t
304 | NCic.Meta _ -> (status,already_found),t
306 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
307 (status,already_found) t
309 aux ctx (status,false) t
311 let _,_,_,subst,_ = low_status#obj in
312 let rec select status ctx pat cic =
314 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
316 let _,_,t,_ = NCicUtils.lookup_subst i subst in
317 NCicSubstitution.subst_meta lc t
319 select status ctx pat cic
320 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
321 let status, t = select status ctx t1 t2 in
322 let status, s = select status ctx s1 s2 in
323 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
324 let status, b = select status ctx b1 b2 in
325 status, NCic.LetIn (n,t,s,b)
326 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
327 let status, s = select status ctx s1 s2 in
328 let ctx = (n, NCic.Decl s2) :: ctx in
329 let status, t = select status ctx t1 t2 in
330 status, NCic.Lambda (n,s,t)
331 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
332 let status, s = select status ctx s1 s2 in
333 let ctx = (n, NCic.Decl s2) :: ctx in
334 let status, t = select status ctx t1 t2 in
335 status, NCic.Prod (n,s,t)
336 | NCic.Appl l1, NCic.Appl l2 ->
339 (fun (status,l) x y ->
340 let status, x = select status ctx x y in
344 status, NCic.Appl (List.rev l)
345 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
346 let status, t = select status ctx t1 t2 in
347 let status, ot = select status ctx ot1 ot2 in
350 (fun (status,l) x y ->
351 let status, x = select status ctx x y in
355 status, NCic.Match (u,ot,t,List.rev pl)
356 | NCic.Implicit `Hole, t ->
359 let status', wanted = disambiguate status wanted None ctx in
360 pp(lazy("wanted: "^ppterm status' wanted));
361 let (status',found), t' = match_term status' ctx wanted t in
362 if found then status',t' else status,t
364 let (status,_),t = match_term status ctx (ctx,t) t in
366 | NCic.Implicit _, t -> status, t
368 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
369 ~context:[] ~subst:[] pat ^ " against " ^
370 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
372 pp(lazy ("select in: "^ppterm low_status (context,term)));
373 let status, term = select low_status context path term in
374 let term = (context, term) in
375 pp(lazy ("postprocess: "^ppterm low_status term));
376 postprocess status term
379 let analyse_indty status ty =
380 let status, reduct = whd status (ctx_of ty) ty in
383 | _,NCic.Const ref -> ref, []
384 | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
386 | _,_ -> fail (lazy ("not an inductive type")) in
387 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
388 let _,_,_,cl = List.nth tl i in
389 let consno = List.length cl in
390 let left, right = HExtlib.split_nth lno args in
391 status, (ref, consno, left, right)
394 let mk_cic_term c t = c,t ;;
396 let apply_subst status ctx t =
397 let status, (_,t) = relocate status ctx t in
398 let _,_,_,subst,_ = status#obj in
399 status, (ctx, NCicUntrusted.apply_subst subst ctx t)
402 (* ============= move this elsewhere ====================*)
404 class ['stack] status =
405 fun (o: NCic.obj) (s: 'stack) ->
410 method set_stack s = {< stack = s >}
413 class type lowtac_status = [unit] status
415 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
417 class type tac_status = [Continuationals.Stack.t] status
419 type 'status tactic = #tac_status as 'status -> 'status
421 module NCicInverseRelIndexable : Discrimination_tree.Indexable
422 with type input = cic_term and type constant_name = NUri.uri = struct
424 open Discrimination_tree
426 type input = cic_term
427 type constant_name = NUri.uri
429 let ppelem = function
430 | Constant (uri,arity) ->
431 "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
433 "("^string_of_int i ^ "," ^ string_of_int arity^")"
435 | Proposition -> "Prop"
440 let path_string_of (ctx,t) =
441 let len_ctx = List.length ctx in
442 let rec aux arity = function
443 | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
444 | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
445 | NCic.Appl [] -> assert false
446 | NCic.Appl (hd::tl) ->
447 aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
448 | NCic.Lambda _ | NCic.Prod _ -> [Variable]
449 (* I think we should CicSubstitution.subst Implicit t *)
450 | NCic.LetIn _ -> [Variable] (* z-reduce? *)
451 | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
452 | NCic.Rel i -> [Bound (len_ctx - i, arity)]
453 | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
454 | NCic.Sort _ -> assert (arity=0); [Datatype]
455 | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
456 | NCic.Match _ -> [Dead]
463 | Constant (u1,a1),Constant (u2,a2) ->
464 let x = NUri.compare u1 u2 in
465 if x = 0 then Pervasives.compare a1 a2 else x
466 | e1,e2 -> Pervasives.compare e1 e2
469 let string_of_path l = String.concat "." (List.map ppelem l) ;;
473 module Ncic_termOT : Set.OrderedType with type t = cic_term =
476 let compare = Pervasives.compare
479 module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
481 module InvRelDiscriminationTree =
482 Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)