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 exception Error of string lazy_t * exn option
15 let fail ?exn msg = raise (Error (msg,exn))
20 | MultiPassDisambiguator.DisambiguationError _
21 | NCicRefiner.RefineFailure _
22 | NCicUnification.UnificationFailure _
23 | NCicTypeChecker.TypeCheckerFailure _
24 | NCicMetaSubst.MetaSubstFailure _ as exn -> fail ~exn (lazy "")
30 inherit NEstatus.status
33 method set_obj o = {< obj = o >}
36 type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
37 type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
39 let pp_status status =
40 prerr_endline (NCicPp.ppobj status#obj)
43 type cic_term = NCic.conjecture (* attrs, context, term *)
44 let ctx_of (_,c,_) = c ;;
46 let relocate status destination (name,source,t as orig) =
47 if source == destination then status, orig else
48 let u, d, metasenv, subst, o = status#obj in
49 let rec lcp ctx j i = function
50 | (n1, NCic.Decl t1 as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
52 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
53 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
55 HExtlib.mk_list (NCic.Appl
56 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
57 | (n1, NCic.Def (b1,t1) as e)::cl1, (n2, NCic.Def (b2,t2))::cl2 ->
59 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
60 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
61 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
63 HExtlib.mk_list (NCic.Appl
64 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
65 | (n1, NCic.Def (b1,t1) as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
67 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
68 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
70 HExtlib.mk_list (NCic.Appl
71 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
72 | (n1, NCic.Decl _)::cl1, (n2, NCic.Def _)::cl2 -> assert false
74 HExtlib.mk_list (NCic.Appl
75 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
79 lcp [] (List.length destination) (List.length source)
80 (List.rev destination, List.rev source)
82 let lc = (0,NCic.Ctx (List.rev lc)) in
83 let (metasenv, subst), t =
85 ~unify:(fun m s c t1 t2 ->
86 try Some (NCicUnification.unify status m s c t1 t2)
88 | NCicUnification.UnificationFailure _
89 | NCicUnification.Uncertain _ -> None)
90 metasenv subst source 0 lc t
92 let status = status#set_obj (u, d, metasenv, subst, o) in
93 status, (name, destination, t)
95 let relocate a b c = wrap (relocate a b) c;;
97 let term_of_cic_term s t c =
98 let s, (_,_,t) = relocate s c t in
102 let ppterm status t =
103 let uri,height,metasenv,subst,obj = status#obj in
104 let _,context,t = t in
105 NCicPp.ppterm ~metasenv ~subst ~context t
108 let disambiguate status t ty context =
111 | None -> status, None
113 let status, (_,_,x) = relocate status context ty in status, Some x
115 let uri,height,metasenv,subst,obj = status#obj in
116 let metasenv, subst, status, t =
117 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
119 let new_pstatus = uri,height,metasenv,subst,obj in
120 status#set_obj new_pstatus, ([], context, t)
122 let disambiguate a b c d = wrap (disambiguate a b c) d;;
124 let typeof status ctx t =
125 let status, (_,_,t) = relocate status ctx t in
126 let _,_,metasenv,subst,_ = status#obj in
127 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
128 status, ([], ctx, ty)
130 let typeof a b c = wrap (typeof a b) c;;
132 let whd status ?delta ctx t =
133 let status, (name,_,t) = relocate status ctx t in
134 let _,_,_,subst,_ = status#obj in
135 let t = NCicReduction.whd ~subst ?delta ctx t in
136 status, (name, ctx, t)
139 let normalize status ?delta ctx t =
140 let status, (name,_,t) = relocate status ctx t in
141 let _,_,_,subst,_ = status#obj in
142 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
143 status, (name, ctx, t)
146 let unify status ctx a b =
147 let status, (_,_,a) = relocate status ctx a in
148 let status, (_,_,b) = relocate status ctx b in
149 let n,h,metasenv,subst,o = status#obj in
150 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
151 status#set_obj (n,h,metasenv,subst,o)
153 let unify a b c d = wrap (unify a b c) d;;
155 let fix_sorts (name,ctx,t) =
157 let t = NCicUnification.fix_sorts t in
163 let refine status ctx term expty =
164 let status, (nt,_,term) = relocate status ctx term in
165 let status, ne, expty =
167 None -> status, [], None
169 let status, (n,_, e) = relocate status ctx e in status, n, Some e
171 let name,height,metasenv,subst,obj = status#obj in
172 let metasenv,subst,t,ty =
173 NCicRefiner.typeof status metasenv subst ctx term expty
175 status#set_obj (name,height,metasenv,subst,obj), (nt,ctx,t), (ne,ctx,ty)
177 let refine a b c d = wrap (refine a b c) d;;
179 let get_goalty status g =
180 let _,_,metasenv,_,_ = status#obj in
181 List.assoc g metasenv
184 let instantiate status i t =
185 let (gname, context, _ as gty) = get_goalty status i in
186 let status, (_,_,t), (_,_,ty) =
187 refine status (ctx_of gty) t (Some gty)
190 let name,height,metasenv,subst,obj = status#obj in
191 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
192 let subst = (i, (gname, context, t, ty)) :: subst in
193 status#set_obj (name,height,metasenv,subst,obj)
196 let mk_meta status ?(attrs=[]) ctx bo_or_ty =
199 let status, (_,_,ty) = relocate status ctx ty in
200 let n,h,metasenv,subst,o = status#obj in
201 let metasenv, _, instance, _ =
202 NCicMetaSubst.mk_meta ~attrs metasenv ctx (`WithType ty)
204 let status = status#set_obj (n,h,metasenv,subst,o) in
205 status, ([],ctx,instance)
207 let status, (_,_,bo_ as bo) = relocate status ctx bo in
208 let status, (_,_,ty) = typeof status ctx bo in
209 let n,h,metasenv,subst,o = status#obj in
210 let metasenv, metano, instance, _ =
211 NCicMetaSubst.mk_meta ~attrs metasenv ctx (`WithType ty) in
212 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
213 let subst = (metano, (attrs, ctx, bo_, ty)) :: subst in
214 let status = status#set_obj (n,h,metasenv,subst,o) in
215 status, ([],ctx,instance)
218 let mk_in_scope status t =
219 mk_meta status ~attrs:[`InScope] (ctx_of t) (`Def t)
222 let mk_out_scope n status t =
223 mk_meta status ~attrs:[`OutScope n] (ctx_of t) (`Def t)
226 (* the following unification problem will be driven by
227 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
231 * where argsn = length args and the pattern matches t
233 * found is called on every selected term to map them
234 * postprocess is called on the entire term after selection
237 low_status ~found ~postprocess (name,context,term) (wanted,path)
239 let is_found status ctx t wanted =
240 (* we could lift wanted step-by-step *)
241 try true, unify status ctx ([], ctx, t) wanted
243 | Error (_, Some (NCicUnification.UnificationFailure _))
244 | Error (_, Some (NCicUnification.Uncertain _)) -> false, status
246 let match_term status ctx (wanted : cic_term) t =
247 let rec aux ctx (status,already_found) t =
248 let b, status = is_found status ctx t wanted in
250 let status , (_,_,t) = found status ([], ctx, t) in
253 let _,_,_,subst,_ = status#obj in
255 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
256 let _,_,t,_ = NCicUtils.lookup_subst i subst in
257 aux ctx (status,already_found) t
258 | NCic.Meta _ -> (status,already_found),t
260 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
261 (status,already_found) t
263 aux ctx (status,false) t
265 let _,_,_,subst,_ = low_status#obj in
266 let rec select status ctx pat cic =
268 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
270 let _,_,t,_ = NCicUtils.lookup_subst i subst in
271 NCicSubstitution.subst_meta lc t
273 select status ctx pat cic
274 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
275 let status, t = select status ctx t1 t2 in
276 let status, s = select status ctx s1 s2 in
277 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
278 let status, b = select status ctx b1 b2 in
279 status, NCic.LetIn (n,t,s,b)
280 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
281 let status, s = select status ctx s1 s2 in
282 let ctx = (n, NCic.Decl s2) :: ctx in
283 let status, t = select status ctx t1 t2 in
284 status, NCic.Lambda (n,s,t)
285 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
286 let status, s = select status ctx s1 s2 in
287 let ctx = (n, NCic.Decl s2) :: ctx in
288 let status, t = select status ctx t1 t2 in
289 status, NCic.Prod (n,s,t)
290 | NCic.Appl l1, NCic.Appl l2 ->
293 (fun (status,l) x y ->
294 let status, x = select status ctx x y in
298 status, NCic.Appl (List.rev l)
299 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
300 let status, t = select status ctx t1 t2 in
301 let status, ot = select status ctx ot1 ot2 in
304 (fun (status,l) x y ->
305 let status, x = select status ctx x y in
309 status, NCic.Match (u,ot,t,List.rev pl)
310 | NCic.Implicit `Hole, t ->
313 let status', wanted = disambiguate status wanted None ctx in
314 let (status',found), t' = match_term status' ctx wanted t in
315 if found then status',t' else status,t
317 let (status,_),t = match_term status ctx ([],ctx,t) t in
319 | NCic.Implicit _, t -> status, t
321 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
322 ~context:[] ~subst:[] pat ^ " against " ^
323 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
325 let status, term = select low_status context path term in
326 let term = (name, context, term) in
327 postprocess status term
330 let analyse_indty status ty =
331 let status, reduct = whd status (ctx_of ty) ty in
334 | _,_,NCic.Const ref -> ref, []
335 | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
336 | _,_,_ -> fail (lazy ("not an inductive type")) in
337 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
338 let _,_,_,cl = List.nth tl i in
339 let consno = List.length cl in
340 let left, right = HExtlib.split_nth lno args in
341 status, (ref, consno, left, right)
344 let mk_cic_term c t = [],c,t ;;
346 let apply_subst status ctx t =
347 let status, (name,_,t) = relocate status ctx t in
348 let _,_,_,subst,_ = status#obj in
349 status, (name, ctx, NCicUntrusted.apply_subst subst ctx t)
352 (* ============= move this elsewhere ====================*)
354 class ['stack] status =
355 fun (o: NCic.obj) (s: 'stack) ->
360 method set_stack s = {< stack = s >}
363 class type lowtac_status = [unit] status
365 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
367 class type tac_status = [Continuationals.Stack.t] status
369 type 'status tactic = #tac_status as 'status -> 'status