* http://cs.unibo.it/helm/.
*)
+let debug_print = fun _ -> ()
+
(* Da rimuovere, solo per debug*)
let print_context ctx =
let print_name =
let module S = CicSubstitution in
let module PET = ProofEngineTypes in
let module PT = PrimitiveTactics in
- prerr_endline "Entro in search_context";
let _,metasenv,_,_ = proof in
let _,context,ty = CicUtil.lookup_meta goal metasenv in
let rec find n = function
[]
;;
-let depth = 4;;
+let depth = 5;;
+let width = 3;;
let new_search_theorems f proof goal depth gtl sign =
let choices = f (proof,goal)
match meta_inf with
Some (ey, ty) ->
(* the goal is still there *)
- prerr_endline ("CURRENT GOAL = " ^ (CicPp.ppterm ty));
- prerr_endline ("CURRENT PROOF = " ^ (CicPp.ppterm p));
- prerr_endline ("CURRENT HYP = " ^ (fst (print_context ey)));
+ (*
+ debug_print ("CURRENT GOAL = " ^ (CicPp.ppterm ty));
+ debug_print ("CURRENT PROOF = " ^ (CicPp.ppterm p));
+ debug_print ("CURRENT HYP = " ^ (fst (print_context ey)));
+ *)
(* if the goal contains metavariables we use the input
signature for at_most constraints *)
let is_meta_closed = CicUtil.is_meta_closed ty in
;;
-let auto_tac ~(dbd:Mysql.dbd) =
+let auto_tac ?num dbd =
let auto_tac dbh (proof,goal) =
- prerr_endline "Entro in Auto";
+ debug_print "Entro in Auto";
match (auto dbd [(proof, [(goal,depth)],None)]) with
- [] -> prerr_endline("Auto failed");
+ [] -> debug_print("Auto failed");
raise (ProofEngineTypes.Fail "No Applicable theorem")
| (proof,[],_)::_ ->
- prerr_endline "AUTO_TAC HA FINITO";
+ debug_print "AUTO_TAC HA FINITO";
(proof,[])
| _ -> assert false
in
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
let module S = CicSubstitution in
let module PET = ProofEngineTypes in
let module PT = PrimitiveTactics in
- prerr_endline "Entro in search_context";
let _,metasenv,_,_ = proof in
let _,context,ty = CicUtil.lookup_meta goal metasenv in
let rec find n = function
[] -> []
| hd::tl ->
let res =
- try
- Some (PT.apply_tac_verbose ~term:(C.Rel n) status )
+ 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
[]
;;
-let new_search_theorems f proof goal depth gtl sign =
+(** splits a list of goals in three groups: closed propositional goals,
+ open propositional goals and non proposotional goals *)
+
+let split proof l =
+ let _,metasenv,_,_ = proof in
+ List.fold_left
+ (fun (c,o,z,n) g ->
+ try
+ let (_, ey, ty) = CicUtil.lookup_meta g metasenv in
+ let ty_sort,u =
+ CicTypeChecker.type_of_aux' metasenv ey ty CicUniv.empty_ugraph in
+ let b,_ =
+ CicReduction.are_convertible ey (Cic.Sort Cic.Prop) ty_sort u in
+ if b then
+ (if CicUtil.is_meta_closed ty then
+ (g::c,o,z,n)
+ else
+ (c,g::o,z,n))
+ else (c,o,z,g::n)
+ with
+ CicUtil.Meta_not_found _ -> (c,o,g::z,n)
+ )
+ ([],[],[],[]) l
+;;
+
+let my_weight dbd sign proof g =
+ let res =
+ search_theorems_in_context (proof,g) in
+ (* @
+ (List.map snd (MetadataQuery.experimental_hint
+ ~dbd ~facts:false ?signature:sign (proof,g))) in *)
+ List.fold_left
+ (fun n (_,(_,l)) -> n+(List.length l)+1)
+ 0 res
+;;
+
+let add_weight dbd sign proof =
+ List.map (function g -> (g,my_weight dbd sign proof g))
+
+;;
+
+
+(* let reorder_goals dbd sign proof goals =
+ List.rev goals *)
+
+(* let reorder_goals dbd sign proof goals =
+ let (c,o,z,n) = split proof goals
+ in c@o@n@z *)
+
+let reorder_goals dbd sign proof goals =
+ let (c,o,z,n) = split proof goals in
+ match o with
+ [] -> c@n@z
+ | [g] ->c@[g]@n@z
+ | l ->
+ let l' = add_weight dbd sign proof l in
+ c@(List.map fst (List.sort (fun (_,x) (_,y) -> x - y) l'))@n@z
+
+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)) ->
- (subst,(proof,(List.map (function g -> (g,depth)) goallist)@gtl, sign)))
+ (* 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_new dbd = function
- [] -> []
- | (subst,(proof, [], sign))::tl -> (subst,(proof, [], sign))::tl
- | (subst,(proof, (goal,0)::_, _))::tl -> auto_new dbd tl
- | (subst,(proof, (((goal,depth)::gtl) as allg), sign))::tl ->
- let facts = (depth = 1) in
- let name,metasenv,p,statement = proof in
- let meta_inf =
- (try
- let (_, ey ,ty) = CicUtil.lookup_meta goal metasenv in
- Some (ey, ty)
- with _ -> None) in
- match meta_inf with
- Some (ey, ty) ->
- (* first of all we check if the goal has been already
- inspected *)
- 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,_) ->
- prerr_endline "ALREADY PROVED!!!!!!!!!!!!!!!!!!!!!!!!!!!!";
- prerr_endline (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
- let new_subst t = (subst_in (subst t)) in
- auto_new dbd ((new_subst,(proof,gtl,sign))::tl)
- | No d when (d >= depth) ->
- prerr_endline "PRUNED!!!!!!!!!!!!!!!!!!!!!!!!!!!!";
- auto_new dbd tl
- | No _
- | NotYetInspected ->
- prerr_endline ("CURRENT GOAL = " ^ (CicPp.ppterm ty));
- prerr_endline ("CURRENT PROOF = " ^ (CicPp.ppterm p));
- prerr_endline ("CURRENT HYP = " ^ (fst (print_context 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
- proof goal (depth-1) [] new_sign in
- let global_choices =
- new_search_theorems
- (fun status ->
- List.map snd
- (MetadataQuery.experimental_hint
- ~dbd ~facts:facts ?signature:sign status))
- proof goal (depth-1) [] new_sign in
- let all_choices =
- local_choices@global_choices in
- (match (auto_new dbd all_choices)
- with
- [] ->
- (* no proof has been found; we update the
- hastable *)
- Hashtbl.add inspected_goals ty (No depth);
- auto_new dbd tl
- | (local_subst,(proof,[],_))::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 =
- local_subst (Cic.Meta(goal,irl)) in
- Hashtbl.add inspected_goals
- ty (Yes (meta_proof,depth));
+
+let is_in_metasenv goal metasenv =
+ try
+ let (_, ey ,ty) =
+ CicUtil.lookup_meta goal metasenv in
+ true
+ with _ -> false
+
+let rec auto_single dbd proof goal ey ty depth width sign already_seen_goals
+ =
+ 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 (is_in_metasenv 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 "ALREADY PROVED!!!!!!!!!!!!!!!!!!!!!!!!!!!!";
+ debug_print (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 "PRUNED!!!!!!!!!!!!!!!!!!!!!!!!!!!!"; *)
+ [] (* the empty list means no choices, i.e. failure *)
+ | No _
+ | NotYetInspected ->
+ (*
+ debug_print ("CURRENT GOAL = " ^ (CicPp.ppterm ty));
+ debug_print ("CURRENT PROOF = " ^ (CicPp.ppterm p));
+ debug_print ("CURRENT HYP = " ^ (fst (print_context 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 = [] in
+(*
+ new_search_theorems
+ (fun status ->
+ List.map snd
+ (MetadataQuery.experimental_hint
+ ~dbd ~facts:facts ?signature:sign 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 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 ("ty = "^CicPp.ppterm ty);
+ debug_print ("cty = "^CicPp.ppterm cty);
+ assert false
+ end
+ Hashtbl.add inspected_goals
+ ty (Yes (meta_proof,depth));
end;
- let new_subst t = (local_subst (subst t)) in
- let all_choices =
- let gtl' = List.map fst gtl in
- if (gtl = [] || is_meta_closed) then
- (new_subst,(proof,gtl,sign))::tl
- else
- let tl2 =
- (List.map
- (function (f,(p,l,s))
- -> (f,(p,l@gtl,s))) tl1)
- in
- (new_subst,(proof,gtl,sign))::tl2@tl in
- auto_new dbd all_choices
+*)
+ end;
+ (subst,(proof,[],sign))::tl1
| _ -> assert false)
+ end
+
+and auto_new dbd width already_seen_goals = function
+ [] -> []
+ | (subst,(proof, goals, sign))::tl ->
+ let _,metasenv,_,_ = proof in
+ let is_in_metasenv (goal, _) =
+ try
+ let (_, ey ,ty) =
+ CicUtil.lookup_meta goal metasenv in
+ true
+ with _ -> false in
+ let goals'= List.filter is_in_metasenv goals in
+ auto_new_aux dbd width already_seen_goals
+ ((subst,(proof, goals', sign))::tl)
+
+and auto_new_aux dbd width already_seen_goals = function
+ [] -> []
+ | (subst,(proof, [], sign))::tl -> (subst,(proof, [], sign))::tl
+ | (subst,(proof, (goal,0)::_, _))::tl ->
+ auto_new dbd width already_seen_goals tl
+ | (subst,(proof, goals, _))::tl when
+ (List.length goals) > width+1 ->
+ auto_new dbd width already_seen_goals tl
+ | (subst,(proof, (goal,depth)::gtl, sign))::tl ->
+ let maxdepthgoals,othergoals =
+ let rec aux acc =
+ function
+ (g,d)::l when d=depth -> aux (g::acc) l
+ |l -> (acc,l) in
+ aux [goal] gtl in
+ let _,metasenv,p,_ = proof in
+ let len1 = List.length maxdepthgoals in
+ let maxdepthgoals = reorder_goals dbd sign proof maxdepthgoals in
+ let len2 = List.length maxdepthgoals in
+ match maxdepthgoals with
+ [] -> debug_print
+ ("caso sospetto " ^ (string_of_int (List.length othergoals)) ^ " " ^ string_of_int depth);
+ auto_new dbd
+ width already_seen_goals((subst,(proof, othergoals, sign))::tl)
+ | goal::tgs ->
+ let gtl = (List.map (fun x->(x,depth)) tgs)@othergoals in
+ begin
+ let meta_inf =
+ try
+ let (_, ey ,ty) =
+ CicUtil.lookup_meta goal metasenv in
+ Some (ey,ty)
+ with _ -> None
+ in
+ match meta_inf with
+ | Some (ey,ty) ->
+ begin
+ match (auto_single dbd proof goal ey ty depth
+ (width - (List.length gtl) - (len1-len2)) sign already_seen_goals)
+ with
+ [] -> auto_new dbd width already_seen_goals 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 all_choices
+ | _ -> assert false
end
- | None -> auto_new dbd ((subst,(proof,gtl,sign))::tl)
+ | None -> debug_print "caso none";
+ auto_new
+ dbd width already_seen_goals ((subst,(proof, gtl, sign))::tl)
+ end
;;
+let default_depth = 5
+let default_width = 3
-let auto_tac_new ~(dbd:Mysql.dbd) =
+let auto_tac_new ?(depth=default_depth) ?(width=default_width) ~(dbd:Mysql.dbd)
+ ()
+=
let auto_tac dbd (proof,goal) =
Hashtbl.clear inspected_goals;
- prerr_endline "Entro in Auto";
+ debug_print "Entro in Auto";
let id t = t in
- match (auto_new dbd [id,(proof, [(goal,depth)],None)]) with
- [] -> prerr_endline("Auto failed");
+ match (auto_new dbd width [] [id,(proof, [(goal,depth)],None)]) with
+ [] -> debug_print("Auto failed");
raise (ProofEngineTypes.Fail "No Applicable theorem")
| (_,(proof,[],_))::_ ->
- prerr_endline "AUTO_TAC HA FINITO";
+ debug_print "AUTO_TAC HA FINITO";
+ let _,_,p,_ = proof in
+ debug_print (CicPp.ppterm p);
(proof,[])
| _ -> assert false
in