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
15 let fail msg = raise (Error msg)
20 inherit NEstatus.status
23 method set_obj o = {< obj = o >}
26 type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
27 type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
29 let pp_tac_status status =
30 prerr_endline (NCicPp.ppobj status#obj)
33 let pp_lowtac_status status =
34 prerr_endline "--------------------------------------------";
35 prerr_endline (NCicPp.ppobj status#obj)
38 type cic_term = NCic.conjecture (* name, context, term *)
39 let ctx_of (_,c,_) = c ;;
41 let relocate status destination (name,source,t as orig) =
42 if source == destination then status, orig else
43 let u, d, metasenv, subst, o = status#obj in
44 let rec lcp ctx j i = function
45 | (n1, NCic.Decl t1 as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
47 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
48 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
50 HExtlib.mk_list (NCic.Appl
51 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
52 | (n1, NCic.Def (b1,t1) as e)::cl1, (n2, NCic.Def (b2,t2))::cl2 ->
54 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 &&
55 NCicReduction.are_convertible ctx ~subst ~metasenv b1 b2 then
56 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
58 HExtlib.mk_list (NCic.Appl
59 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
60 | (n1, NCic.Def (b1,t1) as e)::cl1, (n2, NCic.Decl t2)::cl2 ->
62 NCicReduction.are_convertible ctx ~subst ~metasenv t1 t2 then
63 NCic.Rel i :: lcp (e::ctx)(j-1) (i-1) (cl1,cl2)
65 HExtlib.mk_list (NCic.Appl
66 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
67 | (n1, NCic.Decl _)::cl1, (n2, NCic.Def _)::cl2 -> assert false
69 HExtlib.mk_list (NCic.Appl
70 [NCic.Sort NCic.Prop; NCic.Sort NCic.Prop]) j
74 lcp [] (List.length destination) (List.length source)
75 (List.rev destination, List.rev source)
77 let lc = (0,NCic.Ctx (List.rev lc)) in
78 let (metasenv, subst), t =
80 ~unify:(fun m s c t1 t2 ->
81 try Some (NCicUnification.unify status m s c t1 t2)
83 | NCicUnification.UnificationFailure _
84 | NCicUnification.Uncertain _ -> None)
85 metasenv subst source 0 lc t
87 let status = status#set_obj (u, d, metasenv, subst, o) in
88 status, (name, destination, t)
91 let term_of_cic_term s t c =
92 let s, (_,_,t) = relocate s c t in
97 let uri,height,metasenv,subst,obj = status#obj in
98 let _,context,t = t in
99 NCicPp.ppterm ~metasenv ~subst ~context t
102 let disambiguate status t ty context =
105 | None -> status, None
107 let status, (_,_,x) = relocate status context ty in status, Some x
109 let uri,height,metasenv,subst,obj = status#obj in
110 let metasenv, subst, status, t =
111 GrafiteDisambiguate.disambiguate_nterm expty status context metasenv subst t
113 let new_pstatus = uri,height,metasenv,subst,obj in
114 status#set_obj new_pstatus, (None, context, t)
117 let typeof status ctx t =
118 let status, (_,_,t) = relocate status ctx t in
119 let _,_,metasenv,subst,_ = status#obj in
120 let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
121 status, (None, ctx, ty)
124 let whd status ?delta ctx t =
125 let status, (name,_,t) = relocate status ctx t in
126 let _,_,_,subst,_ = status#obj in
127 let t = NCicReduction.whd ~subst ?delta ctx t in
128 status, (name, ctx, t)
131 let normalize status ?delta ctx t =
132 let status, (name,_,t) = relocate status ctx t in
133 let _,_,_,subst,_ = status#obj in
134 let t = NCicTacReduction.normalize ~subst ?delta ctx t in
135 status, (name, ctx, t)
138 let unify status ctx a b =
139 let status, (_,_,a) = relocate status ctx a in
140 let status, (_,_,b) = relocate status ctx b in
141 let n,h,metasenv,subst,o = status#obj in
142 let metasenv, subst = NCicUnification.unify status metasenv subst ctx a b in
143 status#set_obj (n,h,metasenv,subst,o)
146 let refine status ctx term expty =
147 let status, (nt,_,term) = relocate status ctx term in
148 let status, ne, expty =
149 match expty with None -> status, None, None
151 let status, (n,_, e) = relocate status ctx e in status, n, Some e
153 let name,height,metasenv,subst,obj = status#obj in
154 let metasenv,subst,t,ty =
155 NCicRefiner.typeof status metasenv subst ctx term expty
157 status#set_obj (name,height,metasenv,subst,obj), (nt,ctx,t), (ne,ctx,ty)
160 let get_goalty status g =
161 let _,_,metasenv,_,_ = status#obj in
162 List.assoc g metasenv
165 let instantiate status i t =
166 let (gname, context, _ as gty) = get_goalty status i in
167 let status, (_,_,t), (_,_,ty) =
168 refine status (ctx_of gty) t (Some gty)
171 let name,height,metasenv,subst,obj = status#obj in
172 let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
173 let subst = (i, (gname, context, t, ty)) :: subst in
174 status#set_obj (name,height,metasenv,subst,obj)
177 let mk_meta status ?name ctx bo_or_ty =
180 let status, (_,_,ty) = relocate status ctx ty in
181 let n,h,metasenv,subst,o = status#obj in
182 let metasenv, _, instance, _ =
183 NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
185 let status = status#set_obj (n,h,metasenv,subst,o) in
186 status, (None,ctx,instance)
188 let status, (_,_,bo_ as bo) = relocate status ctx bo in
189 let status, (_,_,ty) = typeof status ctx bo in
190 let n,h,metasenv,subst,o = status#obj in
191 let metasenv, metano, instance, _ =
192 NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty) in
193 let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
194 let subst = (metano, (name, ctx, bo_, ty)) :: subst in
195 let status = status#set_obj (n,h,metasenv,subst,o) in
196 status, (None,ctx,instance)
199 let mk_in_scope status t =
200 mk_meta status ~name:NCicMetaSubst.in_scope_tag (ctx_of t) (`Def t)
203 let mk_out_scope n status t =
204 mk_meta status ~name:(NCicMetaSubst.out_scope_tag n) (ctx_of t) (`Def t)
207 (* the following unification problem will be driven by
208 * select s ~found:mk_in_scope ~postprocess:(mk_out_scope argsno) t pattern
212 * where argsn = length args and the pattern matches t
214 * found is called on every selected term to map them
215 * postprocess is called on the entire term after selection
218 low_status ~found ~postprocess (name,context,term) (wanted,path)
220 let is_found status ctx t wanted =
221 (* we could lift wanted step-by-step *)
222 try true, unify status ctx (None, ctx, t) wanted
224 | NCicUnification.UnificationFailure _
225 | NCicUnification.Uncertain _ -> false, status
227 let match_term status ctx (wanted : cic_term) t =
228 let rec aux ctx (status,already_found) t =
229 let b, status = is_found status ctx t wanted in
231 let status , (_,_,t) = found status (None, ctx, t) in
234 let _,_,_,subst,_ = status#obj in
236 | NCic.Meta (i,lc) when List.mem_assoc i subst ->
237 let _,_,t,_ = NCicUtils.lookup_subst i subst in
238 aux ctx (status,already_found) t
239 | NCic.Meta _ -> (status,already_found),t
241 NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux
242 (status,already_found) t
244 aux ctx (status,false) t
246 let _,_,_,subst,_ = low_status#obj in
247 let rec select status ctx pat cic =
249 | _, NCic.Meta (i,lc) when List.mem_assoc i subst ->
251 let _,_,t,_ = NCicUtils.lookup_subst i subst in
252 NCicSubstitution.subst_meta lc t
254 select status ctx pat cic
255 | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
256 let status, t = select status ctx t1 t2 in
257 let status, s = select status ctx s1 s2 in
258 let ctx = (n, NCic.Def (s2,t2)) :: ctx in
259 let status, b = select status ctx b1 b2 in
260 status, NCic.LetIn (n,t,s,b)
261 | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
262 let status, s = select status ctx s1 s2 in
263 let ctx = (n, NCic.Decl s2) :: ctx in
264 let status, t = select status ctx t1 t2 in
265 status, NCic.Lambda (n,s,t)
266 | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
267 let status, s = select status ctx s1 s2 in
268 let ctx = (n, NCic.Decl s2) :: ctx in
269 let status, t = select status ctx t1 t2 in
270 status, NCic.Prod (n,s,t)
271 | NCic.Appl l1, NCic.Appl l2 ->
274 (fun (status,l) x y ->
275 let status, x = select status ctx x y in
279 status, NCic.Appl (List.rev l)
280 | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
281 let status, t = select status ctx t1 t2 in
282 let status, ot = select status ctx ot1 ot2 in
285 (fun (status,l) x y ->
286 let status, x = select status ctx x y in
290 status, NCic.Match (u,ot,t,List.rev pl)
291 | NCic.Implicit `Hole, t ->
294 let status', wanted = disambiguate status wanted None ctx in
295 let (status',found), t' = match_term status' ctx wanted t in
296 if found then status',t' else status,t
298 let (status,_),t = match_term status ctx (None,ctx,t) t in
300 | NCic.Implicit _, t -> status, t
302 fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
303 ~context:[] ~subst:[] pat ^ " against " ^
304 NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] t))
306 let status, term = select low_status context path term in
307 let term = (name, context, term) in
308 postprocess status term
311 let analyse_indty status ty =
312 let status, reduct = whd status (ctx_of ty) ty in
315 | _,_,NCic.Const ref -> ref, []
316 | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
317 | _,_,_ -> fail (lazy ("not an inductive type")) in
318 let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
319 let _,_,_,cl = List.nth tl i in
320 let consno = List.length cl in
321 let left, right = HExtlib.split_nth lno args in
322 status, (ref, consno, left, right)
325 let mk_cic_term c t = None,c,t ;;
327 let apply_subst status ctx t =
328 let status, (name,_,t) = relocate status ctx t in
329 let _,_,_,subst,_ = status#obj in
330 status, (name, ctx, NCicUntrusted.apply_subst subst ctx t)
333 class ['stack] status =
334 fun (o: NCic.obj) (s: 'stack) ->
339 method set_stack s = {< stack = s >}
342 class type lowtac_status = [unit] status
344 type 'status lowtactic = #lowtac_status as 'status -> int -> 'status
346 class type tac_status = [Continuationals.Stack.t] status
348 type 'status tactic = #tac_status as 'status -> 'status