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 ;;
52 let mk_cic_term c t = c,t ;;
55 let uri,height,metasenv,subst,obj = status#obj in
57 NCicPp.ppterm ~metasenv ~subst ~context t
60 let ppcontext status c =
61 let uri,height,metasenv,subst,obj = status#obj in
62 NCicPp.ppcontext ~metasenv ~subst c
65 let ppterm_and_context status t =
66 let uri,height,metasenv,subst,obj = status#obj in
68 NCicPp.ppcontext ~metasenv ~subst context ^ "\n ⊢ "^
69 NCicPp.ppterm ~metasenv ~subst ~context t
72 let relocate status destination (source,t as orig) =
73 pp(lazy("relocate:\n" ^ ppterm_and_context status orig));
74 pp(lazy("relocate in:\n" ^ ppcontext status destination));
76 if source == destination then status, orig else
77 let _, _, metasenv, subst, _ = status#obj in
78 let rec compute_ops ctx = function (* destination, source *)
79 | (n1, NCic.Decl t1 as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
81 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
82 compute_ops (e::ctx) (cl1,cl2)
84 [ `Delift ctx; `Lift (List.rev ex) ]
85 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Def (b2,t2))::cl2 ->
87 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
88 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
89 compute_ops (e::ctx) (cl1,cl2)
91 [ `Delift ctx; `Lift (List.rev ex) ]
92 | (n1, NCic.Def (b1,t1) as e)::cl1 as ex, (n2, NCic.Decl t2)::cl2 ->
94 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
95 compute_ops (e::ctx) (cl1,cl2)
97 [ `Delift ctx; `Lift (List.rev ex) ]
98 | (n1, NCic.Decl _)::cl1 as ex, (n2, NCic.Def _)::cl2 ->
99 [ `Delift ctx; `Lift (List.rev ex) ]
100 | _::_ as ex, [] -> [ `Lift (List.rev ex) ]
101 | [], _::_ -> [ `Delift ctx ]
104 let ops = compute_ops [] (List.rev destination, List.rev source) in
105 let rec mk_irl i j = if i > j then [] else NCic.Rel i :: mk_irl (i+1) j in
107 (fun (status, (source,t)) -> function
109 let len = List.length extra_ctx in
110 status, (extra_ctx@source, NCicSubstitution.lift len t)
112 let len_ctx = List.length ctx in
113 let irl = mk_irl 1 (List.length ctx) in
114 let lc = List.length source - len_ctx, NCic.Ctx irl in
115 let u, d, metasenv, subst, o = status#obj in
116 pp(lazy("delifting as " ^
117 NCicPp.ppterm ~metasenv ~subst ~context:source
118 (NCic.Meta (0,lc))));
119 let (metasenv, subst), t =
121 ~unify:(fun m s c t1 t2 ->
122 try Some (NCicUnification.unify status m s c t1 t2)
124 | NCicUnification.UnificationFailure _
125 | NCicUnification.Uncertain _ -> None)
126 metasenv subst source 0 lc t
128 let status = status#set_obj (u, d, metasenv, subst, o) in
132 pp(lazy("relocated: " ^ ppterm (fst rc) (snd rc)));
135 let relocate a b c = wrap "relocate" (relocate a b) c;;
137 let term_of_cic_term s t c =
138 let s, (_,t) = relocate s c t in
142 let disambiguate status context t ty =
145 | None -> status, None
147 let status, (_,x) = relocate status context ty in status, Some x
149 let uri,height,metasenv,subst,obj = status#obj in
150 let metasenv, subst, status, t =
151 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
153 let new_pstatus = uri,height,metasenv,subst,obj in
154 status#set_obj new_pstatus, (context, t)
156 let disambiguate a b c d = wrap "disambiguate" (disambiguate a b c) d;;
158 let typeof status ctx t =
159 let status, (_,t) = relocate status ctx t in
160 let _,_,metasenv,subst,_ = status#obj in
161 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
164 let typeof a b c = wrap "typeof" (typeof a b) c;;
166 let saturate status ?delta (ctx,t) =
167 let n,h,metasenv,subst,k = status#obj in
168 let t,metasenv,args = NCicMetaSubst.saturate ?delta metasenv subst ctx t 0 in
169 let status = status#set_obj (n,h,metasenv,subst,k) in
170 status, (ctx,t), List.map (fun x -> ctx,x) args
172 let saturate a ?delta b = wrap "saturate" (saturate a ?delta) b;;
174 let whd status ?delta ctx t =
175 let status, (_,t) = relocate status ctx t in
176 let _,_,_,subst,_ = status#obj in
177 let t = NCicReduction.whd ~subst ?delta ctx t in
181 let normalize status ?delta ctx t =
182 let status, (_,t) = relocate status ctx t in
183 let _,_,_,subst,_ = status#obj in
184 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
188 let unify status ctx a b =
189 let status, (_,a) = relocate status ctx a in
190 let status, (_,b) = relocate status ctx b in
191 let n,h,metasenv,subst,o = status#obj in
192 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
193 status#set_obj (n,h,metasenv,subst,o)
195 let unify a b c d = wrap "unify" (unify a b c) d;;
197 let fix_sorts status (ctx,t) =
199 let name,height,metasenv,subst,obj = status#obj in
201 NCicUnification.fix_sorts metasenv subst t in
202 let status = status#set_obj (name,height,metasenv,subst,obj) in
205 wrap "fix_sorts" f ()
208 let refine status ctx term expty =
209 let status, (_,term) = relocate status ctx term in
214 let status, (_, e) = relocate status ctx e in status, Some e
216 let name,height,metasenv,subst,obj = status#obj in
217 let metasenv,subst,t,ty =
218 NCicRefiner.typeof status metasenv subst ctx term expty
220 status#set_obj (name,height,metasenv,subst,obj), (ctx,t), (ctx,ty)
222 let refine a b c d = wrap "refine" (refine a b c) d;;
224 let get_goalty status g =
225 let _,_,metasenv,_,_ = status#obj in
227 let _, ctx, ty = NCicUtils.lookup_meta g metasenv in
229 with NCicUtils.Meta_not_found _ as exn -> fail ~exn (lazy "get_goalty")
232 let to_subst status i entry =
233 let name,height,metasenv,subst,obj = status#obj in
234 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
235 let subst = (i, entry) :: subst in
236 status#set_obj (name,height,metasenv,subst,obj)
239 let instantiate status i t =
240 let _,_,metasenv,_,_ = status#obj in
241 let gname, context, gty = List.assoc i metasenv in
242 let status, (_,t), (_,ty) = refine status context t (Some (context,gty)) in
243 to_subst status i (gname,context,t,ty)
246 let instantiate_with_ast status i t =
247 let _,_,metasenv,_,_ = status#obj in
248 let gname, context, gty = List.assoc i metasenv in
249 let ggty = mk_cic_term context gty in
250 let status, (_,t) = disambiguate status context t (Some ggty) in
251 to_subst status i (gname,context,t,gty)
254 let mk_meta status ?(attrs=[]) ctx bo_or_ty kind =
257 let status, (_,ty) = relocate status ctx ty in
258 let n,h,metasenv,subst,o = status#obj in
259 let metasenv, _, instance, _ =
260 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind
262 let status = status#set_obj (n,h,metasenv,subst,o) in
263 status, (ctx,instance)
265 let status, (_,bo_ as bo) = relocate status ctx bo in
266 let status, (_,ty) = typeof status ctx bo in
267 let n,h,metasenv,subst,o = status#obj in
268 let metasenv, metano, instance, _ =
269 NCicMetaSubst.mk_meta ~attrs metasenv ctx ~with_type:ty kind in
270 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
271 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
272 let status = status#set_obj (n,h,metasenv,subst,o) in
273 status, (ctx,instance)
276 let mk_in_scope status t =
277 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t) `IsTerm
280 let mk_out_scope n status t =
281 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t) `IsTerm
284 (* the following unification problem will be driven by
285 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
289 * where argsn = length args and the pattern matches t
291 * found is called on every selected term to map them
292 * postprocess is called on the entire term after selection
295 low_status ~found ~postprocess (context,term) (wanted,path)
297 let is_found status ctx t wanted =
298 (* we could lift wanted step-by-step *)
299 pp(lazy("is_found: "^ppterm status (ctx,t)));
300 try true, unify status ctx (ctx, t) wanted
302 | Error (_, Some (NCicUnification.UnificationFailure _))
303 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
305 let match_term status ctx (wanted : cic_term) t =
306 let rec aux ctx (status,already_found) t =
307 let b, status = is_found status ctx t wanted in
309 let status , (_,t) = found status (ctx, t) in
312 let _,_,_,subst,_ = status#obj in
314 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
315 let _,_,t,_ = NCicUtils.lookup_subst i subst in
316 aux ctx (status,already_found) t
317 | NCic.Meta _ -> (status,already_found),t
319 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
320 (status,already_found) t
322 aux ctx (status,false) t
324 let _,_,_,subst,_ = low_status#obj in
325 let rec select status ctx pat cic =
327 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
329 let _,_,t,_ = NCicUtils.lookup_subst i subst in
330 NCicSubstitution.subst_meta lc t
332 select status ctx pat cic
333 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
334 let status, t = select status ctx t1 t2 in
335 let status, s = select status ctx s1 s2 in
336 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
337 let status, b = select status ctx b1 b2 in
338 status, NCic.LetIn (n,t,s,b)
339 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
340 let status, s = select status ctx s1 s2 in
341 let ctx = (n, NCic.Decl s2) :: ctx in
342 let status, t = select status ctx t1 t2 in
343 status, NCic.Lambda (n,s,t)
344 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
345 let status, s = select status ctx s1 s2 in
346 let ctx = (n, NCic.Decl s2) :: ctx in
347 let status, t = select status ctx t1 t2 in
348 status, NCic.Prod (n,s,t)
349 | NCic.Appl l1, NCic.Appl l2 ->
352 (fun (status,l) x y ->
353 let status, x = select status ctx x y in
357 status, NCic.Appl (List.rev l)
358 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
359 let status, t = select status ctx t1 t2 in
360 let status, ot = select status ctx ot1 ot2 in
363 (fun (status,l) x y ->
364 let status, x = select status ctx x y in
368 status, NCic.Match (u,ot,t,List.rev pl)
369 | NCic.Implicit `Hole, t ->
372 let status', wanted = disambiguate status ctx wanted None in
373 pp(lazy("wanted: "^ppterm status' wanted));
374 let (status',found), t' = match_term status' ctx wanted t in
375 if found then status',t' else status,t
377 let (status,_),t = match_term status ctx (ctx,t) t in
379 | NCic.Implicit _, t -> status, t
381 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
382 ~context:[] ~subst:[] pat ^ " against " ^
383 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
385 pp(lazy ("select in: "^ppterm low_status (context,term)));
386 let status, term = select low_status context path term in
387 let term = (context, term) in
388 pp(lazy ("postprocess: "^ppterm low_status term));
389 postprocess status term
392 let analyse_indty status ty =
393 let status, reduct = whd status (ctx_of ty) ty in
396 | _,NCic.Const ref -> ref, []
397 | _,NCic.Appl (NCic.Const (NRef.Ref (_,(NRef.Ind _)) as ref) :: args) ->
399 | _,_ -> fail (lazy ("not an inductive type")) in
400 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
401 let _,_,_,cl = List.nth tl i in
402 let consno = List.length cl in
403 let left, right = HExtlib.split_nth lno args in
404 status, (ref, consno, left, right)
407 let apply_subst status ctx t =
408 let status, (_,t) = relocate status ctx t in
409 let _,_,_,subst,_ = status#obj in
410 status, (ctx, NCicUntrusted.apply_subst subst ctx t)
413 let metas_of_term status (context,t) =
414 let _,_,_,subst,_ = status#obj in
415 NCicUntrusted.metas_of_term subst context t
418 (* ============= move this elsewhere ====================*)
420 class ['stack] status =
421 fun (o: NCic.obj) (s: 'stack) ->
426 method set_stack s = {< stack = s >}
429 class type lowtac_status = [unit] status
431 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
433 class type tac_status = [Continuationals.Stack.t] status
435 type 'status tactic = #tac_status as 'status -> 'status
437 module NCicInverseRelIndexable : Discrimination_tree.Indexable
438 with type input = cic_term and type constant_name = NUri.uri = struct
440 open Discrimination_tree
442 type input = cic_term
443 type constant_name = NUri.uri
445 let ppelem = function
446 | Constant (uri,arity) ->
447 "("^NUri.name_of_uri uri ^ "," ^ string_of_int arity^")"
449 "("^string_of_int i ^ "," ^ string_of_int arity^")"
451 | Proposition -> "Prop"
456 let string_of_path l = String.concat "." (List.map ppelem l) ;;
458 let path_string_of (ctx,t) =
459 let len_ctx = List.length ctx in
460 let rec aux arity = function
461 | NCic.Appl ((NCic.Meta _|NCic.Implicit _)::_) -> [Variable]
462 | NCic.Appl (NCic.Lambda _ :: _) -> [Variable] (* maybe we should b-reduce *)
463 | NCic.Appl [] -> assert false
464 | NCic.Appl (hd::tl) ->
465 aux (List.length tl) hd @ List.flatten (List.map (aux 0) tl)
466 | NCic.Lambda _ | NCic.Prod _ -> [Variable]
467 (* I think we should CicSubstitution.subst Implicit t *)
468 | NCic.LetIn _ -> [Variable] (* z-reduce? *)
469 | NCic.Meta _ | NCic.Implicit _ -> assert (arity = 0); [Variable]
470 | NCic.Rel i -> [Bound (len_ctx - i, arity)]
471 | NCic.Sort (NCic.Prop) -> assert (arity=0); [Proposition]
472 | NCic.Sort _ -> assert (arity=0); [Datatype]
473 | NCic.Const (NReference.Ref (u,_)) -> [Constant (u, arity)]
474 | NCic.Match _ -> [Dead]
476 let path = aux 0 t in
477 (* prerr_endline (string_of_path path); *)
483 | Constant (u1,a1),Constant (u2,a2) ->
484 let x = NUri.compare u1 u2 in
485 if x = 0 then Pervasives.compare a1 a2 else x
486 | e1,e2 -> Pervasives.compare e1 e2
492 module Ncic_termOT : Set.OrderedType with type t = cic_term =
495 let compare = Pervasives.compare
498 module Ncic_termSet : Set.S with type elt = cic_term = Set.Make(Ncic_termOT)
500 module InvRelDiscriminationTree =
501 Discrimination_tree.Make(NCicInverseRelIndexable)(Ncic_termSet)