let index tree equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_string_of_term l
and psr = path_string_of_term r in
let index pos tree ps =
let remove_index tree equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_string_of_term l
and psr = path_string_of_term r in
let remove_index pos tree ps =
let in_index tree equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_string_of_term l
and psr = path_string_of_term r in
let meta_convertibility = Inference.meta_convertibility_eq equality in
function
| [] -> None
| candidate::tl ->
- let pos, (proof, (ty, left, right, o), metas, args) = candidate in
+ let pos, (_, proof, (ty, left, right, o), metas, args) = candidate in
let do_match c other eq_URI =
let subst', metasenv', ugraph' =
let t1 = Unix.gettimeofday () in
function
| [] -> []
| candidate::tl ->
- let pos, (proof, (ty, left, right, o), metas, args) = candidate in
+ let pos, (_, _, (ty, left, right, o), metas, args) = candidate in
let do_match c other eq_URI =
let subst', metasenv', ugraph' =
let t1 = Unix.gettimeofday () in
find_all_matches ~unif_fun:Inference.matching
metasenv context ugraph 0 left leftc
in
- let ok what (_, subst, menv, ug, ((pos, (_, (_, l, r, o), _, _)), _)) =
+ let ok what (_, subst, menv, ug, ((pos, (_, _, (_, l, r, o), _, _)), _)) =
try
let other = if pos = Utils.Left then r else l in
let subst', menv', ug' =
let build_newtarget_time = ref 0.;;
+
+let demod_counter = ref 1;;
+
let rec demodulation newmeta env table target =
let module C = Cic in
let module S = CicSubstitution in
let module M = CicMetaSubst in
let module HL = HelmLibraryObjects in
let metasenv, context, ugraph = env in
- let proof, (eq_ty, left, right, order), metas, args = target in
+ let _, proof, (eq_ty, left, right, order), metas, args = target in
let metasenv' = metasenv @ metas in
let build_newtarget is_left (t, subst, menv, ug, (eq_found, eq_URI)) =
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found 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 newterm, newproof =
let bo = (* M. *)apply_subst subst (S.subst other t) in
- let bo'' =
- C.Appl ([C.MutInd (HL.Logic.eq_URI, 0, []);
- S.lift 1 eq_ty] @
- if is_left then [bo; S.lift 1 right] else [S.lift 1 left; bo])
+ let t' =
+ let name = C.Name ("x_Demod_" ^ (string_of_int !demod_counter)) in
+ incr demod_counter;
+ let l, r = if is_left then bo, right else left, bo in
+ (name, ty, eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
+(* let bo'' = *)
+(* C.Appl ([C.MutInd (HL.Logic.eq_URI, 0, []); *)
+(* S.lift 1 eq_ty] @ *)
+(* if is_left then [S.lift 1 bo; S.lift 1 right] *)
+(* else [S.lift 1 left; S.lift 1 bo]) *)
+(* in *)
+(* let t' = *)
+(* let name = C.Name ("x_Demod_" ^ (string_of_int !demod_counter)) in *)
+(* incr demod_counter; *)
+(* C.Lambda (name, ty, bo'') *)
+(* in *)
bo,
Inference.ProofBlock (subst, eq_URI, t', eq_found, target)
(* (\* M. *\)apply_subst subst (C.Appl [C.Const (eq_URI, []); ty; what; t'; *)
let res =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, ordering), newmetasenv, newargs)
+ (w, newproof, (eq_ty, left, right, ordering), newmetasenv, newargs)
in
- Inference.store_proof res newproof;
newmeta, res
in
(* let build_newtarget = *)
(* (fun a b -> profile (build_newtarget a) b) *)
(* in *)
let res = demodulate_term metasenv' context ugraph table 0 left in
- let build_identity (p, (t, l, r, o), m, a) =
- match o with
- | Utils.Gt -> (p, (t, r, r, Utils.Eq), m, a)
- | _ -> (p, (t, l, l, Utils.Eq), m, a)
- in
+(* let build_identity (w, p, (t, l, r, o), m, a) = *)
+(* match o with *)
+(* | Utils.Gt -> (w, p, (t, r, r, Utils.Eq), m, a) *)
+(* | _ -> (w, p, (t, l, l, Utils.Eq), m, a) *)
+(* in *)
match res with
| Some t ->
let newmeta, newtarget = build_newtarget true t in
;;
+let sup_l_counter = ref 1;;
+
let superposition_left (metasenv, context, ugraph) table target =
let module C = Cic in
let module S = CicSubstitution in
let module HL = HelmLibraryObjects in
let module CR = CicReduction in
let module U = Utils in
- let proof, (eq_ty, left, right, ordering), _, _ = target in
+ let _, proof, (eq_ty, left, right, ordering), _, _ = target in
let expansions, _ =
let term = if ordering = U.Gt then left else right in
betaexpand_term metasenv context ugraph table 0 term
let build_new (bo, s, m, ug, (eq_found, eq_URI)) =
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found 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' = (* M. *)apply_subst s (S.subst other bo) in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []);
- S.lift 1 eq_ty] @
- if ordering = U.Gt then [bo'; S.lift 1 right]
- else [S.lift 1 left; bo'])
+ let t' =
+ let name = C.Name ("x_SupL_" ^ (string_of_int !sup_l_counter)) in
+ incr sup_l_counter;
+ let l, r = if ordering = U.Gt then bo', right else left, bo' in
+ (name, ty, eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
+(* let bo'' = *)
+(* C.Appl ( *)
+(* [C.MutInd (HL.Logic.eq_URI, 0, []); *)
+(* S.lift 1 eq_ty] @ *)
+(* if ordering = U.Gt then [S.lift 1 bo'; S.lift 1 right] *)
+(* else [S.lift 1 left; S.lift 1 bo']) *)
+(* in *)
+(* let t' = *)
+(* let name = C.Name ("x_SupL_" ^ (string_of_int !sup_l_counter)) in *)
+(* incr sup_l_counter; *)
+(* C.Lambda (name, ty, bo'') *)
+(* in *)
bo',
Inference.ProofBlock (s, eq_URI, t', eq_found, target)
(* (\* M. *\)apply_subst s *)
let res =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, neworder), [], [])
+ (w, newproof, (eq_ty, left, right, neworder), [], [])
in
- Inference.store_proof res newproof;
res
in
(* let build_new = *)
;;
+let sup_r_counter = ref 1;;
+
let superposition_right newmeta (metasenv, context, ugraph) table target =
let module C = Cic in
let module S = CicSubstitution in
let module HL = HelmLibraryObjects in
let module CR = CicReduction in
let module U = Utils in
- let eqproof, (eq_ty, left, right, ordering), newmetas, args = target in
+ let _, eqproof, (eq_ty, left, right, ordering), newmetas, args = target in
let metasenv' = metasenv @ newmetas in
let maxmeta = ref newmeta in
let res1, res2 =
let time1 = Unix.gettimeofday () in
- let pos, (proof', (ty, what, other, _), menv', args') = eq_found 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' = (* M. *)apply_subst s (S.subst other bo) in
- let bo'' =
- C.Appl (
- [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @
- if ordering = U.Gt then [bo'; S.lift 1 right]
- else [S.lift 1 left; bo'])
+ let t' =
+ let name = C.Name ("x_SupR_" ^ (string_of_int !sup_r_counter)) in
+ incr sup_r_counter;
+ let l, r = if ordering = U.Gt then bo', right else left, bo' in
+ (name, ty, eq_ty, l, r)
in
- let t' = C.Lambda (C.Anonymous, ty, bo'') in
+(* let bo'' = *)
+(* C.Appl ( *)
+(* [C.MutInd (HL.Logic.eq_URI, 0, []); S.lift 1 eq_ty] @ *)
+(* if ordering = U.Gt then [S.lift 1 bo'; S.lift 1 right] *)
+(* else [S.lift 1 left; S.lift 1 bo']) *)
+(* in *)
+(* let t' = *)
+(* let name = C.Name ("x_SupR_" ^ (string_of_int !sup_r_counter)) in *)
+(* incr sup_r_counter; *)
+(* C.Lambda (name, ty, bo'') *)
+(* in *)
bo',
Inference.ProofBlock (s, eq_URI, t', eq_found, target)
(* (\* M. *\)apply_subst s *)
and newargs = args @ args' in
let eq' =
let w = Utils.compute_equality_weight eq_ty left right in
- (w, (eq_ty, left, right, neworder), newmenv, newargs)
+ (w, newproof, (eq_ty, left, right, neworder), newmenv, newargs)
and env = (metasenv, context, ugraph) in
let newm, eq' = Inference.fix_metas !maxmeta eq' in
newm, eq'
let time2 = Unix.gettimeofday () in
build_newtarget_time := !build_newtarget_time +. (time2 -. time1);
- Inference.store_proof newequality newproof;
newequality
in
let new1 = List.map (build_new U.Gt) res1
and new2 = List.map (build_new U.Lt) res2 in
let ok = function
- | _, (_, left, right, _), _, _ ->
+ | _, _, (_, left, right, _), _, _ ->
not (fst (CR.are_convertible context left right ugraph))
in
(!maxmeta,
type equality =
int * (* weight *)
+ proof *
(Cic.term * (* type *)
Cic.term * (* left side *)
Cic.term * (* right side *)
Utils.comparison) * (* ordering *)
Cic.metasenv * (* environment for metas *)
Cic.term list (* arguments *)
-;;
-
-type proof =
+and proof =
| BasicProof of Cic.term
| ProofBlock of
- Cic.substitution * UriManager.uri * Cic.term * (Utils.pos * equality) *
- equality
+ Cic.substitution * UriManager.uri *
+ (* name, ty, eq_ty, left, right *)
+ (Cic.name * Cic.term * Cic.term * Cic.term * Cic.term) *
+ (Utils.pos * equality) * equality
| NoProof
;;
match env with
| None -> (
function
- | _, (ty, left, right, o), _, _ ->
- Printf.sprintf "{%s}: %s =(%s) %s" (CicPp.ppterm ty)
+ | w, _, (ty, left, right, o), _, _ ->
+ Printf.sprintf "Weight: %d, {%s}: %s =(%s) %s" w (CicPp.ppterm ty)
(CicPp.ppterm left) (string_of_comparison o) (CicPp.ppterm right)
)
| Some (_, context, _) -> (
let names = names_of_context context in
function
- | _, (ty, left, right, o), _, _ ->
- Printf.sprintf "{%s}: %s =(%s) %s" (CicPp.pp ty names)
+ | w, _, (ty, left, right, o), _, _ ->
+ Printf.sprintf "Weight: %d, {%s}: %s =(%s) %s" w (CicPp.pp ty names)
(CicPp.pp left names) (string_of_comparison o)
(CicPp.pp right names)
)
;;
-let prooftable = Hashtbl.create 2001;;
-
-let store_proof equality proof =
- if not (Hashtbl.mem prooftable equality) then
- Hashtbl.add prooftable equality proof
-;;
-
-
-let delete_proof equality =
-(* Printf.printf "| Removing proof of %s" (string_of_equality equality); *)
-(* print_newline (); *)
- Hashtbl.remove prooftable equality
-;;
-
-
let rec build_term_proof equality =
(* Printf.printf "build_term_proof %s" (string_of_equality equality); *)
(* print_newline (); *)
- let proof = try Hashtbl.find prooftable equality with Not_found -> NoProof in
+ let _, proof, _, _, _ = equality in
match proof with
| NoProof ->
Printf.fprintf stderr "WARNING: no proof for %s\n"
Cic.Implicit None
| BasicProof term -> term
| ProofBlock (subst, eq_URI, t', (pos, eq), eq') ->
+ let name, ty, eq_ty, left, right = t' in
+ let bo =
+ Cic.Appl [Cic.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, []);
+ eq_ty; left; right]
+ in
+ let t' = Cic.Lambda (name, ty, CicSubstitution.lift 1 bo) in
(* Printf.printf " ProofBlock: eq = %s, eq' = %s" *)
(* (string_of_equality eq) (string_of_equality eq'); *)
(* print_newline (); *)
let proof' = build_term_proof eq in
let eqproof = build_term_proof eq' in
- let _, (ty, what, other, _), menv', args' = eq in
+ let _, _, (ty, what, other, _), menv', args' = eq in
let what, other = if pos = Utils.Left then what, other else other, what in
CicMetaSubst.apply_subst subst
(Cic.Appl [Cic.Const (eq_URI, []); ty;
let meta_convertibility_eq eq1 eq2 =
- let _, (ty, left, right, _), _, _ = eq1
- and _, (ty', left', right', _), _, _ = eq2 in
+ let _, _, (ty, left, right, _), _, _ = eq1
+ and _, _, (ty', left', right', _), _, _ = eq2 in
if ty <> ty' then
false
else if (left = left') && (right = right') then
Printf.printf "OK: %s\n" (CicPp.ppterm term);
let o = !Utils.compare_terms t1 t2 in
let w = compute_equality_weight ty t1 t2 in
- let e = (w, (ty, t1, t2, o), newmetas, args) in
- store_proof e (BasicProof p);
+ let proof = BasicProof p in
+ let e = (w, proof, (ty, t1, t2, o), newmetas, args) in
Some e, (newmeta+1)
| _ -> None, newmeta
)
and t2 = S.lift index t2 in
let o = !Utils.compare_terms t1 t2 in
let w = compute_equality_weight ty t1 t2 in
- let e = (w, (ty, t1, t2, o), [], []) in
- store_proof e (BasicProof (C.Rel index));
+ let e = (w, BasicProof (C.Rel index), (ty, t1, t2, o), [], []) in
Some e, (newmeta+1)
| _ -> None, newmeta
in (
;;
-let fix_metas newmeta ((weight, (ty, left, right, o), menv, args) as equality) =
+let fix_metas newmeta ((w, p, (ty, left, right, o), menv, args) as equality) =
let table = Hashtbl.create (List.length args) in
let newargs, _ =
List.fold_right
(function Cic.Meta (i, _) -> List.mem i metas | _ -> assert false) newargs
in
(newmeta + (List.length newargs) + 1,
- (weight, (ty, left, right, o), menv', newargs))
+ (w, p, (ty, left, right, o), menv', newargs))
;;
| Cic.Appl [Cic.MutInd (uri, _, _); ty; t1; t2] when uri = eq_uri ->
let o = !Utils.compare_terms t1 t2 in
let w = compute_equality_weight ty t1 t2 in
- let e = (w, (ty, t1, t2, o), [], []) in
- store_proof e (BasicProof proof);
+ let e = (w, BasicProof proof, (ty, t1, t2, o), [], []) in
e
(* (proof, (ty, t1, t2, o), [], []) *)
| _ ->
let is_identity ((_, context, ugraph) as env) = function
- | ((_, (ty, left, right, _), _, _) as equality) ->
- let res =
- (left = right ||
- (fst (CicReduction.are_convertible context left right ugraph)))
- in
-(* if res then ( *)
-(* Printf.printf "is_identity: %s" (string_of_equality ~env equality); *)
-(* print_newline (); *)
-(* ); *)
- res
+ | ((_, _, (ty, left, right, _), _, _) as equality) ->
+ (left = right ||
+ (fst (CicReduction.are_convertible context left right ugraph)))
;;
type equality =
int * (* weight *)
+ proof *
(Cic.term * (* type *)
Cic.term * (* left side *)
Cic.term * (* right side *)
Cic.metasenv * (* environment for metas *)
Cic.term list (* arguments *)
-type proof =
+and proof =
| BasicProof of Cic.term
| ProofBlock of
- Cic.substitution * UriManager.uri * Cic.term * (Utils.pos * equality) *
- equality
+ Cic.substitution * UriManager.uri *
+ (* name, ty, eq_ty, left, right *)
+ (Cic.name * Cic.term * Cic.term * Cic.term * Cic.term) *
+ (Utils.pos * equality) * equality
| NoProof
Cic.term -> Cic.term -> (Cic.term * Cic.term) option
-val store_proof: equality -> proof -> unit
-
-val delete_proof: equality -> unit
-
val build_term_proof: equality -> Cic.term
let index trie equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_strings_of_term 0 l
and psr = path_strings_of_term 0 r in
let index pos trie ps =
let remove_index trie equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_strings_of_term 0 l
and psr = path_strings_of_term 0 r in
let remove_index pos trie ps =
let in_index trie equality =
- let _, (_, l, r, ordering), _, _ = equality in
+ let _, _, (_, l, r, ordering), _, _ = equality in
let psl = path_strings_of_term 0 l
and psr = path_strings_of_term 0 r in
let meta_convertibility = Inference.meta_convertibility_eq equality in
;;
*)
-let symbols_of_equality ((_, (_, left, right, _), _, _) as equality) =
+let symbols_of_equality ((_, _, (_, left, right, _), _, _) as equality) =
let m1 = symbols_of_term left in
let m =
TermMap.fold
match meta_convertibility_eq eq1 eq2 with
| true -> 0
| false ->
- let w1, (ty, left, right, _), _, a = eq1
- and w2, (ty', left', right', _), _, a' = eq2 in
+ let w1, _, (ty, left, right, _), _, a = eq1
+ and w2, _, (ty', left', right', _), _, a' = eq2 in
(* let weight_of t = fst (weight_of_term ~consider_metas:false t) in *)
(* let w1 = (weight_of ty) + (weight_of left) + (weight_of right) *)
(* and w2 = (weight_of ty') + (weight_of left') + (weight_of right') in *)
try
let found =
List.find
- (fun (proof, (ty, left, right, ordering), m, a) ->
+ (fun (w, proof, (ty, left, right, ordering), m, a) ->
fst (CicReduction.are_convertible context left right ugraph))
negative
in
maxmeta := newmeta;
if is_identity env newcurrent then
if sign = Negative then Some (sign, newcurrent)
- else (Inference.delete_proof newcurrent; None)
+ else None
else
Some (sign, newcurrent)
in
if ok then res else None
| Some (Positive, c) ->
if Indexing.in_index active_table c then
- (Inference.delete_proof c; None)
+ None
else
match passive_table with
| None -> res
| Some passive_table ->
- if Indexing.in_index passive_table c then
- (Inference.delete_proof c; None)
+ if Indexing.in_index passive_table c then None
else res
(* | Some (s, c) -> if find_duplicate s c all then None else res *)
List.fold_left
(fun s e ->
if not (Inference.is_identity env e) then
- if EqualitySet.mem e s then
- (Inference.delete_proof e; s)
- else
- EqualitySet.add e s
- else
- (Inference.delete_proof e; s))
+ if EqualitySet.mem e s then s
+ else EqualitySet.add e s
+ else s)
EqualitySet.empty new_pos
in
let new_pos = EqualitySet.elements new_pos_set in
let is_duplicate =
match passive_table with
| None ->
- (fun e ->
- let ok = not (Indexing.in_index active_table e) in
- if not ok then Inference.delete_proof e;
- ok)
+ (fun e -> not (Indexing.in_index active_table e))
| Some passive_table ->
(fun e ->
- let ok = not ((Indexing.in_index active_table e) ||
- (Indexing.in_index passive_table e)) in
- if not ok then Inference.delete_proof e;
- ok)
+ not ((Indexing.in_index active_table e) ||
+ (Indexing.in_index passive_table e)))
in
new_neg, List.filter is_duplicate new_pos
if List.mem (s, eq) res then
res, tbl
else if (is_identity env eq) || (find eq res) then (
- Inference.delete_proof eq;
res, tbl
) (* else if (find eq res) then *)
(* res, tbl *)
List.fold_right
(fun (s, eq) (n, p) ->
if (s <> Negative) && (is_identity env eq) then (
- Inference.delete_proof eq;
(n, p)
) else
if s = Negative then eq::n, p
let env = (metasenv, context, ugraph) in
try
let term_equality = equality_of_term meta_proof goal in
- let meta_proof, (eq_ty, left, right, ordering), _, _ = term_equality in
+ let _, meta_proof, (eq_ty, left, right, ordering), _, _ = term_equality in
let active = make_active () in
let passive = make_passive [term_equality] equalities in
Printf.printf "\ncurrent goal: %s\n"
let compute_equality_weight ty left right =
- let weight_of t = fst (weight_of_term ~consider_metas:false t) in
- (weight_of ty) + (weight_of left) + (weight_of right)
+ let metasw = ref 0 in
+ let weight_of t =
+ let w, m = (weight_of_term ~consider_metas:true(* false *) t) in
+(* let mw = List.fold_left (fun mw (_, c) -> mw + 2 * c) 0 m in *)
+(* metasw := !metasw + mw; *)
+ metasw := !metasw + (2 * (List.length m));
+ w
+ in
+ (weight_of ty) + (weight_of left) + (weight_of right) + !metasw
;;