+++ /dev/null
-(* 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 || (Inference.term_is_equality meta_goal)
- in
- if paramodulation_ok then (
- debug_print (lazy "USO PARAMODULATION...");
-(* try *)
- Saturation.saturate dbd ~depth ~width ~full (proof, goal)
-(* with ProofEngineTypes.Fail _ -> *)
-(* normal_auto () *)
- ) else
- normal_auto ()
- in
- ProofEngineTypes.mk_tactic (auto_tac dbd)
-;;
projects / helm.git / blobdiff