X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=helm%2Focaml%2Ftactics%2FautoTactic.ml;fp=helm%2Focaml%2Ftactics%2FautoTactic.ml;h=dc5b8324c0779096bba15fd22b74fc7aa213cca5;hp=0000000000000000000000000000000000000000;hb=792b5d29ebae8f917043d9dd226692919b5d6ca1;hpb=a14a8c7637fd0b95e9d4deccb20c6abc98e8f953 diff --git a/helm/ocaml/tactics/autoTactic.ml b/helm/ocaml/tactics/autoTactic.ml new file mode 100644 index 000000000..dc5b8324c --- /dev/null +++ b/helm/ocaml/tactics/autoTactic.ml @@ -0,0 +1,348 @@ +(* Copyright (C) 2002, HELM Team. + * + * This file is part of HELM, an Hypertextual, Electronic + * Library of Mathematics, developed at the Computer Science + * Department, University of Bologna, Italy. + * + * HELM is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License + * as published by the Free Software Foundation; either version 2 + * of the License, or (at your option) any later version. + * + * HELM is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with HELM; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + * + * For details, see the HELM World-Wide-Web page, + * http://cs.unibo.it/helm/. + *) + +(* $Id$ *) + + let debug = false + let debug_print s = if debug then prerr_endline (Lazy.force s) + +(* let debug_print = fun _ -> () *) + +(* Profiling code +let new_experimental_hint = + let profile = CicUtil.profile "new_experimental_hint" in + fun ~dbd ~facts ?signature ~universe status -> + profile.profile (MetadataQuery.new_experimental_hint ~dbd ~facts ?signature ~universe) status +*) let new_experimental_hint = MetadataQuery.new_experimental_hint + +(* In this versions of auto_tac we maintain an hash table of all inspected + goals. We assume that the context is invariant for application. + To this aim, it is essential to sall hint_verbose, that in turns calls + apply_verbose. *) + +type exitus = + No of int + | Yes of Cic.term * int + | NotYetInspected + +let inspected_goals = Hashtbl.create 503;; + +let search_theorems_in_context status = + let (proof, goal) = status in + let module C = Cic in + let module R = CicReduction in + let module S = CicSubstitution in + let module PET = ProofEngineTypes in + let module PT = PrimitiveTactics in + let _,metasenv,_,_ = proof in + let _,context,ty = CicUtil.lookup_meta goal metasenv in + let rec find n = function + | [] -> [] + | hd::tl -> + let res = + (* we should check that the hypothesys has not been cleared *) + if List.nth context (n-1) = None then + None + else + try + let (subst,(proof, goal_list)) = + PT.apply_tac_verbose ~term:(C.Rel n) status + in + (* + let goal_list = + List.stable_sort (compare_goal_list proof) goal_list in + *) + Some (subst,(proof, goal_list)) + with + PET.Fail _ -> None + in + (match res with + | Some res -> res::(find (n+1) tl) + | None -> find (n+1) tl) + in + try + find 1 context + with Failure s -> [] +;; + + +let compare_goals proof goal1 goal2 = + let _,metasenv,_,_ = proof in + let (_, ey1, ty1) = CicUtil.lookup_meta goal1 metasenv in + let (_, ey2, ty2) = CicUtil.lookup_meta goal2 metasenv in + let ty_sort1,_ = CicTypeChecker.type_of_aux' metasenv ey1 ty1 + CicUniv.empty_ugraph in + let ty_sort2,_ = CicTypeChecker.type_of_aux' metasenv ey2 ty2 + CicUniv.empty_ugraph in + let prop1 = + let b,_ = CicReduction.are_convertible ey1 (Cic.Sort Cic.Prop) ty_sort1 + CicUniv.empty_ugraph in + if b then 0 else 1 + in + let prop2 = + let b,_ = CicReduction.are_convertible ey2 (Cic.Sort Cic.Prop) ty_sort2 + CicUniv.empty_ugraph in + if b then 0 else 1 + in + prop1 - prop2 + + +let new_search_theorems f dbd proof goal depth sign = + let choices = f (proof,goal) + in + List.map + (function (subst,(proof, goallist)) -> + (* let goallist = reorder_goals dbd sign proof goallist in *) + let goallist = List.sort (compare_goals proof) goallist in + (subst,(proof,(List.map (function g -> (g,depth)) goallist), sign))) + choices +;; + +exception NoOtherChoices;; + +let rec auto_single dbd proof goal ey ty depth width sign already_seen_goals + universe + = + if depth = 0 then [] else + if List.mem ty already_seen_goals then [] else + let already_seen_goals = ty::already_seen_goals in + let facts = (depth = 1) in + let _,metasenv,p,_ = proof in + (* first of all we check if the goal has been already + inspected *) + assert (CicUtil.exists_meta goal metasenv); + let exitus = + try Hashtbl.find inspected_goals ty + with Not_found -> NotYetInspected in + let is_meta_closed = CicUtil.is_meta_closed ty in + begin + match exitus with + Yes (bo,_) -> + (* + debug_print (lazy "ALREADY PROVED!!!!!!!!!!!!!!!!!!!!!!!!!!!!"); + debug_print (lazy (CicPp.ppterm ty)); + *) + let subst_in = + (* if we just apply the subtitution, the type + is irrelevant: we may use Implicit, since it will + be dropped *) + CicMetaSubst.apply_subst + [(goal,(ey, bo, Cic.Implicit None))] in + let (proof,_) = + ProofEngineHelpers.subst_meta_and_metasenv_in_proof + proof goal subst_in metasenv in + [(subst_in,(proof,[],sign))] + | No d when (d >= depth) -> + (* debug_print (lazy "PRUNED!!!!!!!!!!!!!!!!!!!!!!!!!!!!"); *) + [] (* the empty list means no choices, i.e. failure *) + | No _ + | NotYetInspected -> + debug_print (lazy ("CURRENT GOAL = " ^ CicPp.ppterm ty)); + debug_print (lazy ("CURRENT PROOF = " ^ CicPp.ppterm p)); + debug_print (lazy ("CURRENT HYP = " ^ CicPp.ppcontext ey)); + let sign, new_sign = + if is_meta_closed then + None, Some (MetadataConstraints.signature_of ty) + else sign,sign in (* maybe the union ? *) + let local_choices = + new_search_theorems + search_theorems_in_context dbd + proof goal (depth-1) new_sign in + let global_choices = + new_search_theorems + (fun status -> + List.map snd + (new_experimental_hint + ~dbd ~facts:facts ?signature:sign ~universe status)) + dbd proof goal (depth-1) new_sign in + let all_choices = + local_choices@global_choices in + let sorted_choices = + List.stable_sort + (fun (_, (_, goals1, _)) (_, (_, goals2, _)) -> + Pervasives.compare + (List.length goals1) (List.length goals2)) + all_choices in + (match (auto_new dbd width already_seen_goals universe sorted_choices) + with + [] -> + (* no proof has been found; we update the + hastable *) + (* if is_meta_closed then *) + Hashtbl.add inspected_goals ty (No depth); + [] + | (subst,(proof,[],sign))::tl1 -> + (* a proof for goal has been found: + in order to get the proof we apply subst to + Meta[goal] *) + if is_meta_closed then + begin + let irl = + CicMkImplicit.identity_relocation_list_for_metavariable ey in + let meta_proof = + subst (Cic.Meta(goal,irl)) in + Hashtbl.add inspected_goals + ty (Yes (meta_proof,depth)); +(* + begin + let cty,_ = + CicTypeChecker.type_of_aux' metasenv ey meta_proof CicUniv.empty_ugraph + in + if not (cty = ty) then + begin + debug_print (lazy ("ty = "^CicPp.ppterm ty)); + debug_print (lazy ("cty = "^CicPp.ppterm cty)); + assert false + end + Hashtbl.add inspected_goals + ty (Yes (meta_proof,depth)); + end; +*) + end; + (subst,(proof,[],sign))::tl1 + | _ -> assert false) + end + +and auto_new dbd width already_seen_goals universe = function + | [] -> [] + | (subst,(proof, goals, sign))::tl -> + let _,metasenv,_,_ = proof in + let goals'= + List.filter (fun (goal, _) -> CicUtil.exists_meta goal metasenv) goals + in + auto_new_aux dbd + width already_seen_goals universe ((subst,(proof, goals', sign))::tl) + +and auto_new_aux dbd width already_seen_goals universe = function + | [] -> [] + | (subst,(proof, [], sign))::tl -> (subst,(proof, [], sign))::tl + | (subst,(proof, (goal,0)::_, _))::tl -> + auto_new dbd width already_seen_goals universe tl + | (subst,(proof, goals, _))::tl when + (List.length goals) > width -> + auto_new dbd width already_seen_goals universe tl + | (subst,(proof, (goal,depth)::gtl, sign))::tl -> + let _,metasenv,p,_ = proof in + let (_, ey ,ty) = CicUtil.lookup_meta goal metasenv in + match (auto_single dbd proof goal ey ty depth + (width - (List.length gtl)) sign already_seen_goals) universe + with + [] -> auto_new dbd width already_seen_goals universe tl + | (local_subst,(proof,[],sign))::tl1 -> + let new_subst f t = f (subst t) in + let is_meta_closed = CicUtil.is_meta_closed ty in + let all_choices = + if is_meta_closed then + (new_subst local_subst,(proof,gtl,sign))::tl + else + let tl2 = + (List.map + (function (f,(p,l,s)) -> (new_subst f,(p,l@gtl,s))) tl1) + in + (new_subst local_subst,(proof,gtl,sign))::tl2@tl in + auto_new dbd width already_seen_goals universe all_choices + | _ -> assert false + ;; + +let default_depth = 5 +let default_width = 3 + +(* +let auto_tac ?(depth=default_depth) ?(width=default_width) ~(dbd:HMysql.dbd) + () += + let auto_tac dbd (proof,goal) = + let universe = MetadataQuery.signature_of_goal ~dbd (proof,goal) in + Hashtbl.clear inspected_goals; + debug_print (lazy "Entro in Auto"); + let id t = t in + let t1 = Unix.gettimeofday () in + match auto_new dbd width [] universe [id,(proof, [(goal,depth)],None)] with + [] -> debug_print (lazy "Auto failed"); + raise (ProofEngineTypes.Fail "No Applicable theorem") + | (_,(proof,[],_))::_ -> + let t2 = Unix.gettimeofday () in + debug_print (lazy "AUTO_TAC HA FINITO"); + let _,_,p,_ = proof in + debug_print (lazy (CicPp.ppterm p)); + Printf.printf "tempo: %.9f\n" (t2 -. t1); + (proof,[]) + | _ -> assert false + in + ProofEngineTypes.mk_tactic (auto_tac dbd) +;; +*) + +let paramodulation_tactic = ref + (fun dbd ?full ?depth ?width status -> + raise (ProofEngineTypes.Fail (lazy "Not Ready yet...")));; + +let term_is_equality = ref + (fun term -> debug_print (lazy "term_is_equality E` DUMMY!!!!"); false);; + + +let auto_tac ?(depth=default_depth) ?(width=default_width) ?paramodulation + ?full ~(dbd:HMysql.dbd) () = + let auto_tac dbd (proof, goal) = + let normal_auto () = + let universe = MetadataQuery.signature_of_goal ~dbd (proof, goal) in + Hashtbl.clear inspected_goals; + debug_print (lazy "Entro in Auto"); + let id t = t in + let t1 = Unix.gettimeofday () in + match + auto_new dbd width [] universe [id, (proof, [(goal, depth)], None)] + with + [] -> debug_print(lazy "Auto failed"); + raise (ProofEngineTypes.Fail (lazy "No Applicable theorem")) + | (_,(proof,[],_))::_ -> + let t2 = Unix.gettimeofday () in + debug_print (lazy "AUTO_TAC HA FINITO"); + let _,_,p,_ = proof in + debug_print (lazy (CicPp.ppterm p)); + debug_print (lazy (Printf.sprintf "tempo: %.9f\n" (t2 -. t1))); + (proof,[]) + | _ -> assert false + in + let full = match full with None -> false | Some _ -> true in + let paramodulation_ok = + match paramodulation with + | None -> false + | Some _ -> + let _, metasenv, _, _ = proof in + let _, _, meta_goal = CicUtil.lookup_meta goal metasenv in + full || (!term_is_equality meta_goal) + in + if paramodulation_ok then ( + debug_print (lazy "USO PARAMODULATION..."); +(* try *) + !paramodulation_tactic dbd ~depth ~width ~full (proof, goal) +(* with ProofEngineTypes.Fail _ -> *) +(* normal_auto () *) + ) else + normal_auto () + in + ProofEngineTypes.mk_tactic (auto_tac dbd) +;;