1 (* Copyright (C) 2002, HELM Team.
3 * This file is part of HELM, an Hypertextual, Electronic
4 * Library of Mathematics, developed at the Computer Science
5 * Department, University of Bologna, Italy.
7 * HELM is free software; you can redistribute it and/or
8 * modify it under the terms of the GNU General Public License
9 * as published by the Free Software Foundation; either version 2
10 * of the License, or (at your option) any later version.
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13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with HELM; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
22 * For details, see the HELM World-Wide-Web page,
23 * http://cs.unibo.it/helm/.
26 let debug_print = ignore (*prerr_endline *)
28 (* let debug_print = fun _ -> () *)
30 let new_experimental_hint =
31 let profile = CicUtil.profile "new_experimental_hint" in
32 fun ~dbd ~facts ?signature ~universe status ->
33 profile (MetadataQuery.new_experimental_hint ~dbd ~facts ?signature ~universe) status
35 (* In this versions of auto_tac we maintain an hash table of all inspected
36 goals. We assume that the context is invariant for application.
37 To this aim, it is essential to sall hint_verbose, that in turns calls
42 | Yes of Cic.term * int
45 let inspected_goals = Hashtbl.create 503;;
47 let search_theorems_in_context status =
48 let (proof, goal) = status in
50 let module R = CicReduction in
51 let module S = CicSubstitution in
52 let module PET = ProofEngineTypes in
53 let module PT = PrimitiveTactics in
54 let _,metasenv,_,_ = proof in
55 let _,context,ty = CicUtil.lookup_meta goal metasenv in
56 let ctxlen = List.length context in
57 let rec find n = function
61 (* we should check that the hypothesys has not been cleared *)
62 if List.nth context (ctxlen - n) = None then
66 let (subst,(proof, goal_list)) =
67 PT.apply_tac_verbose ~term:(C.Rel n) status
71 List.stable_sort (compare_goal_list proof) goal_list in
73 Some (subst,(proof, goal_list))
78 | Some res -> res::(find (n+1) tl)
79 | None -> find (n+1) tl)
87 let compare_goals proof goal1 goal2 =
88 let _,metasenv,_,_ = proof in
89 let (_, ey1, ty1) = CicUtil.lookup_meta goal1 metasenv in
90 let (_, ey2, ty2) = CicUtil.lookup_meta goal2 metasenv in
91 let ty_sort1,_ = CicTypeChecker.type_of_aux' metasenv ey1 ty1
92 CicUniv.empty_ugraph in
93 let ty_sort2,_ = CicTypeChecker.type_of_aux' metasenv ey2 ty2
94 CicUniv.empty_ugraph in
96 let b,_ = CicReduction.are_convertible ey1 (Cic.Sort Cic.Prop) ty_sort1
97 CicUniv.empty_ugraph in
101 let b,_ = CicReduction.are_convertible ey2 (Cic.Sort Cic.Prop) ty_sort2
102 CicUniv.empty_ugraph in
108 let new_search_theorems f dbd proof goal depth sign =
109 let choices = f (proof,goal)
112 (function (subst,(proof, goallist)) ->
113 (* let goallist = reorder_goals dbd sign proof goallist in *)
114 let goallist = List.sort (compare_goals proof) goallist in
115 (subst,(proof,(List.map (function g -> (g,depth)) goallist), sign)))
119 exception NoOtherChoices;;
121 let is_in_metasenv goal metasenv =
124 CicUtil.lookup_meta goal metasenv in
126 with CicUtil.Meta_not_found _ -> false
128 let rec auto_single dbd proof goal ey ty depth width sign already_seen_goals
131 if depth = 0 then [] else
132 if List.mem ty already_seen_goals then [] else
133 let already_seen_goals = ty::already_seen_goals in
134 let facts = (depth = 1) in
135 let _,metasenv,p,_ = proof in
136 (* first of all we check if the goal has been already
138 assert (is_in_metasenv goal metasenv);
140 try Hashtbl.find inspected_goals ty
141 with Not_found -> NotYetInspected in
142 let is_meta_closed = CicUtil.is_meta_closed ty in
147 debug_print "ALREADY PROVED!!!!!!!!!!!!!!!!!!!!!!!!!!!!";
148 debug_print (CicPp.ppterm ty);
151 (* if we just apply the subtitution, the type
152 is irrelevant: we may use Implicit, since it will
154 CicMetaSubst.apply_subst
155 [(goal,(ey, bo, Cic.Implicit None))] in
157 ProofEngineHelpers.subst_meta_and_metasenv_in_proof
158 proof goal subst_in metasenv in
159 [(subst_in,(proof,[],sign))]
160 | No d when (d >= depth) ->
161 (* debug_print "PRUNED!!!!!!!!!!!!!!!!!!!!!!!!!!!!"; *)
162 [] (* the empty list means no choices, i.e. failure *)
165 debug_print ("CURRENT GOAL = " ^ CicPp.ppterm ty);
166 debug_print ("CURRENT PROOF = " ^ CicPp.ppterm p);
167 debug_print ("CURRENT HYP = " ^ CicPp.ppcontext ey);
169 if is_meta_closed then
170 None, Some (MetadataConstraints.signature_of ty)
171 else sign,sign in (* maybe the union ? *)
174 search_theorems_in_context dbd
175 proof goal (depth-1) new_sign in
180 (new_experimental_hint
181 ~dbd ~facts:facts ?signature:sign ~universe status))
182 dbd proof goal (depth-1) new_sign in
184 local_choices@global_choices in
187 (fun (_, (_, goals1, _)) (_, (_, goals2, _)) ->
189 (List.length goals1) (List.length goals2))
191 (match (auto_new dbd width already_seen_goals universe sorted_choices)
194 (* no proof has been found; we update the
196 (* if is_meta_closed then *)
197 Hashtbl.add inspected_goals ty (No depth);
199 | (subst,(proof,[],sign))::tl1 ->
200 (* a proof for goal has been found:
201 in order to get the proof we apply subst to
203 if is_meta_closed then
206 CicMkImplicit.identity_relocation_list_for_metavariable ey in
208 subst (Cic.Meta(goal,irl)) in
209 Hashtbl.add inspected_goals
210 ty (Yes (meta_proof,depth));
214 CicTypeChecker.type_of_aux' metasenv ey meta_proof CicUniv.empty_ugraph
216 if not (cty = ty) then
218 debug_print ("ty = "^CicPp.ppterm ty);
219 debug_print ("cty = "^CicPp.ppterm cty);
222 Hashtbl.add inspected_goals
223 ty (Yes (meta_proof,depth));
227 (subst,(proof,[],sign))::tl1
231 and auto_new dbd width already_seen_goals universe = function
233 | (subst,(proof, goals, sign))::tl ->
234 let _,metasenv,_,_ = proof in
235 let is_in_metasenv (goal, _) =
237 let (_, ey ,ty) = CicUtil.lookup_meta goal metasenv in
239 with CicUtil.Meta_not_found _ -> false
241 let goals'= List.filter is_in_metasenv goals in
243 width already_seen_goals universe ((subst,(proof, goals', sign))::tl)
245 and auto_new_aux dbd width already_seen_goals universe = function
247 | (subst,(proof, [], sign))::tl -> (subst,(proof, [], sign))::tl
248 | (subst,(proof, (goal,0)::_, _))::tl ->
249 auto_new dbd width already_seen_goals universe tl
250 | (subst,(proof, goals, _))::tl when
251 (List.length goals) > width ->
252 auto_new dbd width already_seen_goals universe tl
253 | (subst,(proof, (goal,depth)::gtl, sign))::tl ->
254 let _,metasenv,p,_ = proof in
255 let (_, ey ,ty) = CicUtil.lookup_meta goal metasenv in
256 match (auto_single dbd proof goal ey ty depth
257 (width - (List.length gtl)) sign already_seen_goals) universe
259 [] -> auto_new dbd width already_seen_goals universe tl
260 | (local_subst,(proof,[],sign))::tl1 ->
261 let new_subst f t = f (subst t) in
262 let is_meta_closed = CicUtil.is_meta_closed ty in
264 if is_meta_closed then
265 (new_subst local_subst,(proof,gtl,sign))::tl
269 (function (f,(p,l,s)) -> (new_subst f,(p,l@gtl,s))) tl1)
271 (new_subst local_subst,(proof,gtl,sign))::tl2@tl in
272 auto_new dbd width already_seen_goals universe all_choices
276 let default_depth = 5
277 let default_width = 3
279 let auto_tac ?(depth=default_depth) ?(width=default_width) ~(dbd:Mysql.dbd)
282 let auto_tac dbd (proof,goal) =
283 let universe = MetadataQuery.signature_of_goal ~dbd (proof,goal) in
284 Hashtbl.clear inspected_goals;
285 debug_print "Entro in Auto";
287 match auto_new dbd width [] universe [id,(proof, [(goal,depth)],None)] with
288 [] -> debug_print("Auto failed");
289 raise (ProofEngineTypes.Fail "No Applicable theorem")
290 | (_,(proof,[],_))::_ ->
291 debug_print "AUTO_TAC HA FINITO";
292 let _,_,p,_ = proof in
293 debug_print (CicPp.ppterm p);
297 ProofEngineTypes.mk_tactic (auto_tac dbd)