* http://cs.unibo.it/helm/.
*)
+module OrderedPosEquality = struct
+ type t = Utils.pos * Inference.equality
+ let compare = Pervasives.compare
+ end
+
+module PosEqSet = Set.Make(OrderedPosEquality);;
+
+module DT = Discrimination_tree.DiscriminationTreeIndexing(PosEqSet);;
+
let debug_print = Utils.debug_print;;
let apply_subst = CicMetaSubst.apply_subst
-
-
(*
(* NO INDEXING *)
let init_index () = ()
;;
let index = Path_indexing.index
-and remove_index = Path_indexing.remove_index
-and in_index = Path_indexing.in_index;;
+let remove_index tree equality =
+ let _, _, (_, l, r, ordering), _, _ = equality in
+ match ordering with
+ | Utils.Gt -> DT.remove_index tree l equality
+ | Utils.Lt -> DT.remove_index tree r equality
+ | _ ->
+ DT.remove_index (DT.remove_index tree r equality) l equality
+
+
+let in_index = Path_indexing.in_index;;
let get_candidates mode trie term =
let t1 = Unix.gettimeofday () in
;;
*)
-
(* DISCRIMINATION TREES *)
let init_index () =
- Hashtbl.clear Discrimination_tree.arities;
+ Hashtbl.clear DT.arities;
;;
let empty_table () =
- Discrimination_tree.DiscriminationTree.empty
+ DT.empty
;;
-let index = Discrimination_tree.index
-and remove_index = Discrimination_tree.remove_index
-and in_index = Discrimination_tree.in_index;;
+let remove_index tree equality =
+ let _, _, (_, l, r, ordering), _, _ = equality in
+ match ordering with
+ | Utils.Gt -> DT.remove_index tree l (Utils.Left, equality)
+ | Utils.Lt -> DT.remove_index tree r (Utils.Right, equality)
+ | _ ->
+ let tree = DT.remove_index tree r (Utils.Right, equality) in
+ DT.remove_index tree l (Utils.Left, equality)
+
+let index tree equality =
+ let _, _, (_, l, r, ordering), _, _ = equality in
+ match ordering with
+ | Utils.Gt -> DT.index tree l (Utils.Left, equality)
+ | Utils.Lt -> DT.index tree r (Utils.Right, equality)
+ | _ ->
+ let tree = DT.index tree r (Utils.Right, equality) in
+ DT.index tree l (Utils.Left, equality)
+
+
+let in_index tree equality =
+ let _, _, (_, l, r, ordering), _, _ = equality in
+ let meta_convertibility (pos,equality') =
+ Inference.meta_convertibility_eq equality equality'
+ in
+ DT.in_index tree l meta_convertibility || DT.in_index tree r meta_convertibility
+
+
+(* returns a list of all the equalities in the tree that are in relation
+ "mode" with the given term, where mode can be either Matching or
+ Unification.
+ Format of the return value: list of tuples in the form:
+ (position - Left or Right - of the term that matched the given one in this
+ equality,
+ equality found)
+
+ Note that if equality is "left = right", if the ordering is left > right,
+ the position will always be Left, and if the ordering is left < right,
+ position will be Right.
+*)
let get_candidates mode tree term =
let t1 = Unix.gettimeofday () in
let res =
let s =
match mode with
- | Matching -> Discrimination_tree.retrieve_generalizations tree term
- | Unification -> Discrimination_tree.retrieve_unifiables tree term
+ | Matching -> DT.retrieve_generalizations tree term
+ | Unification -> DT.retrieve_unifiables tree term
in
- Discrimination_tree.PosEqSet.elements s
+ PosEqSet.elements s
in
-(* print_candidates mode term res; *)
+ (* print_candidates mode term res; *)
(* print_endline (Discrimination_tree.string_of_discrimination_tree tree); *)
(* print_newline (); *)
let t2 = Unix.gettimeofday () in
termty can be Implicit if it is not needed. The result (one of the sides of
the equality, actually) should be not greater (wrt the term ordering) than
term
+
+ Format of the return value:
+
+ (term to substitute, [Cic.Rel 1 properly lifted - see the various
+ build_newtarget functions inside the various
+ demodulation_* functions]
+ substitution used for the matching,
+ metasenv,
+ ugraph, [substitution, metasenv and ugraph have the same meaning as those
+ returned by CicUnification.fo_unif]
+ (equality where the matching term was found, [i.e. the equality to use as
+ rewrite rule]
+ uri [either eq_ind_URI or eq_ind_r_URI, depending on the direction of
+ the equality: this is used to build the proof term, again see one of
+ the build_newtarget functions]
+ ))
*)
let rec find_matches metasenv context ugraph lift_amount term termty =
let module C = Cic in
in
match res with
| Some (_, s, _, _, _) ->
- let c' = apply_subst s c
- and other' = apply_subst s other in
+ let c' = apply_subst s c in
+ let other' = U.guarded_simpl context (apply_subst s other) in
let order = cmp c' other' in
let names = U.names_of_context context in
if order = U.Gt then
returns true if target is subsumed by some equality in table
*)
let subsumption env table target =
- let _, (ty, left, right, _), tmetas, _ = target in
+ let _, _, (ty, left, right, _), tmetas, _ = target in
let metasenv, context, ugraph = env in
let metasenv = metasenv @ tmetas in
let samesubst subst subst' =
in
let rec ok what = function
| [] -> false, []
- | (_, subst, menv, ug, ((pos, (_, _, (_, l, r, o), _, _)), _))::tl ->
+ | (_, subst, menv, ug, ((pos, (_, _, (_, l, r, o), m, _)), _))::tl ->
try
let other = if pos = Utils.Left then r else l in
let subst', menv', ug' =
let t1 = Unix.gettimeofday () in
try
let r =
- Inference.matching metasenv context what other ugraph in
+ Inference.matching (metasenv @ menv @ m) context what other ugraph
+ in
let t2 = Unix.gettimeofday () in
match_unif_time_ok := !match_unif_time_ok +. (t2 -. t1);
r
ok what tl
in
let r, subst = ok right leftr in
- if r then
- true, subst
- else
- let rightr =
- match right with
- | Cic.Meta _ -> []
- | _ ->
- let rightc = get_candidates Matching table right in
- find_all_matches ~unif_fun:Inference.matching
- metasenv context ugraph 0 right ty rightc
- in
- ok left rightr
+ let r, s =
+ if r then
+ true, subst
+ else
+ let rightr =
+ match right with
+ | Cic.Meta _ -> []
+ | _ ->
+ let rightc = get_candidates Matching table right in
+ find_all_matches ~unif_fun:Inference.matching
+ metasenv context ugraph 0 right ty rightc
+ in
+ ok left rightr
+ in
+(* (if r then *)
+(* debug_print *)
+(* (lazy *)
+(* (Printf.sprintf "SUBSUMPTION! %s\n%s\n" *)
+(* (Inference.string_of_equality target) (Utils.print_subst s)))); *)
+ r, s
;;
let module S = CicSubstitution in
let module M = CicMetaSubst in
let module HL = HelmLibraryObjects in
+ let module U = Utils in
let metasenv, context, ugraph = env in
let _, proof, (eq_ty, left, right, order), metas, args = target in
let metasenv' = metasenv @ metas in
in
let what, other = if pos = Utils.Left then what, other else other, what in
let newterm, newproof =
- let bo = apply_subst subst (S.subst other t) in
+ let bo = U.guarded_simpl context (apply_subst subst (S.subst other t)) in
let name = C.Name ("x_Demod_" ^ (string_of_int !demod_counter)) in
incr demod_counter;
let bo' =
incr maxmeta;
let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context in
- debug_print (lazy (Printf.sprintf "\nADDING META: %d\n" !maxmeta));
- print_newline ();
+(* debug_print (lazy (Printf.sprintf "\nADDING META: %d\n" !maxmeta)); *)
+(* print_newline (); *)
C.Meta (!maxmeta, irl)
in
let eq_found =
!maxmeta, res
in
let res = demodulation_aux metasenv' context ugraph table 0 left in
- match res with
- | Some t ->
- let newmeta, newtarget = build_newtarget true t in
- if (Inference.is_identity (metasenv', context, ugraph) newtarget) ||
- (Inference.meta_convertibility_eq target newtarget) then
- newmeta, newtarget
- else
- demodulation_equality newmeta env table sign newtarget
- | None ->
- let res = demodulation_aux metasenv' context ugraph table 0 right in
- match res with
- | Some t ->
- let newmeta, newtarget = build_newtarget false t in
- if (Inference.is_identity (metasenv', context, ugraph) newtarget) ||
+ let newmeta, newtarget =
+ match res with
+ | Some t ->
+ let newmeta, newtarget = build_newtarget true t in
+ if (Inference.is_identity (metasenv', context, ugraph) newtarget) ||
(Inference.meta_convertibility_eq target newtarget) then
- newmeta, newtarget
- else
- demodulation_equality newmeta env table sign newtarget
- | None ->
- newmeta, target
+ newmeta, newtarget
+ else
+ demodulation_equality newmeta env table sign newtarget
+ | None ->
+ let res = demodulation_aux metasenv' context ugraph table 0 right in
+ match res with
+ | Some t ->
+ let newmeta, newtarget = build_newtarget false t in
+ if (Inference.is_identity (metasenv', context, ugraph) newtarget) ||
+ (Inference.meta_convertibility_eq target newtarget) then
+ newmeta, newtarget
+ else
+ demodulation_equality newmeta env table sign newtarget
+ | None ->
+ newmeta, target
+ in
+ (* newmeta, newtarget *)
+ (* tentiamo di ridurre usando CicReduction.normalize *)
+ let w, p, (ty, left, right, o), m, a = newtarget in
+ let left' = ProofEngineReduction.simpl context left in
+ let right' = ProofEngineReduction.simpl context right in
+ let newleft =
+ if !Utils.compare_terms left' left = Utils.Lt then left' else left in
+ let newright =
+ if !Utils.compare_terms right' right = Utils.Lt then right' else right in
+(* if newleft != left || newright != right then ( *)
+(* debug_print *)
+(* (lazy *)
+(* (Printf.sprintf "left: %s, left': %s\nright: %s, right': %s\n" *)
+(* (CicPp.ppterm left) (CicPp.ppterm left') (CicPp.ppterm right) *)
+(* (CicPp.ppterm right'))) *)
+(* ); *)
+ let w' = Utils.compute_equality_weight ty newleft newright in
+ let o' = !Utils.compare_terms newleft newright in
+ newmeta, (w', p, (ty, newleft, newright, o'), m, a)
;;
let maxmeta = ref newmeta in
let build_new (bo, s, m, ug, (eq_found, eq_URI)) =
- debug_print (lazy "\nSUPERPOSITION LEFT\n");
+(* debug_print (lazy "\nSUPERPOSITION LEFT\n"); *)
let time1 = Unix.gettimeofday () in
let pos, (_, proof', (ty, what, other, _), menv', args') = eq_found in
let what, other = if pos = Utils.Left then what, other else other, what in
let newgoal, newproof =
- let bo' = apply_subst s (S.subst other bo) in
+ let bo' = U.guarded_simpl context (apply_subst s (S.subst other bo)) in
let name = C.Name ("x_SupL_" ^ (string_of_int !sup_l_counter)) in
incr sup_l_counter;
let bo'' =
in
match proof with
| Inference.BasicProof _ ->
- debug_print (lazy "replacing a BasicProof");
+(* debug_print (lazy "replacing a BasicProof"); *)
pb
| Inference.ProofGoalBlock (_, parent_proof) ->
- debug_print (lazy "replacing another ProofGoalBlock");
+(* debug_print (lazy "replacing another ProofGoalBlock"); *)
Inference.ProofGoalBlock (pb, parent_proof)
| _ -> assert false
in
incr maxmeta;
let irl =
CicMkImplicit.identity_relocation_list_for_metavariable context in
- debug_print (lazy (Printf.sprintf "\nADDING META: %d\n" !maxmeta));
+(* debug_print (lazy (Printf.sprintf "\nADDING META: %d\n" !maxmeta)); *)
C.Meta (!maxmeta, irl)
in
let eq_found =
in
let rec repl = function
| Inference.NoProof ->
- debug_print (lazy "replacing a NoProof");
+(* debug_print (lazy "replacing a NoProof"); *)
pb
| Inference.BasicProof _ ->
- debug_print (lazy "replacing a BasicProof");
+(* debug_print (lazy "replacing a BasicProof"); *)
pb
| Inference.ProofGoalBlock (_, parent_proof) ->
- debug_print (lazy "replacing another ProofGoalBlock");
+(* debug_print (lazy "replacing another ProofGoalBlock"); *)
Inference.ProofGoalBlock (pb, parent_proof)
| (Inference.SubProof (term, meta_index, p) as subproof) ->
- debug_print
- (lazy
- (Printf.sprintf "replacing %s"
- (Inference.string_of_proof subproof)));
+(* debug_print *)
+(* (lazy *)
+(* (Printf.sprintf "replacing %s" *)
+(* (Inference.string_of_proof subproof))); *)
Inference.SubProof (term, meta_index, repl p)
| _ -> assert false
in repl proof