X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_paramodulation%2Forderings.ml;h=6880f6d18c177d3849fd284e8bab30e9165c7723;hb=ea8676df3c47428157d0d544ec63c320ffa204be;hp=5c42090c4508d03308809a78d125d65590d73b6c;hpb=07fb52e761b192a97c6fe00c657e670b2d1fc2f1;p=helm.git diff --git a/helm/software/components/ng_paramodulation/orderings.ml b/helm/software/components/ng_paramodulation/orderings.ml index 5c42090c4..6880f6d18 100644 --- a/helm/software/components/ng_paramodulation/orderings.ml +++ b/helm/software/components/ng_paramodulation/orderings.ml @@ -15,6 +15,8 @@ type aux_comparison = XEQ | XLE | XGE | XLT | XGT | XINCOMPARABLE module Orderings (B : Terms.Blob) = struct + module Pp = Pp.Pp(B) + type weight = int * (int * int) list;; let string_of_weight (cw, mw) = @@ -81,9 +83,9 @@ let compute_goal_weight (_,l, _, _) = | Terms.Equation (l,r,_,_) -> let wl, ml = weight_of_term l in let wr, mr = weight_of_term r in - let wl = weight_of_polynomial wl ml in - let wr = weight_of_polynomial wr mr in - - (abs (wl-wr)) + let wl = weight_of_polynomial wl ml in + let wr = weight_of_polynomial wr mr in + - (abs (wl-wr)) ;; (* Riazanov: 3.1.5 pag 38 *) @@ -95,36 +97,36 @@ let compute_goal_weight (_,l, _, _) = let compare_weights (h1, w1) (h2, w2) = let rec aux hdiff (lt, gt) diffs w1 w2 = match w1, w2 with - | ((var1, w1)::tl1) as l1, (((var2, w2)::tl2) as l2) -> - if var1 = var2 then - let diffs = (w1 - w2) + diffs in - let r = compare w1 w2 in - let lt = lt or (r < 0) in - let gt = gt or (r > 0) in - if lt && gt then XINCOMPARABLE else - aux hdiff (lt, gt) diffs tl1 tl2 - else if var1 < var2 then - if lt then XINCOMPARABLE else - aux hdiff (false,true) (diffs+w1) tl1 l2 - else - if gt then XINCOMPARABLE else - aux hdiff (true,false) (diffs-w2) l1 tl2 - | [], (_,w2)::tl2 -> - if gt then XINCOMPARABLE else - aux hdiff (true,false) (diffs-w2) [] tl2 - | (_,w1)::tl1, [] -> - if lt then XINCOMPARABLE else - aux hdiff (false,true) (diffs+w1) tl1 [] - | [], [] -> - if lt then - if hdiff <= 0 then XLT + | ((var1, w1)::tl1) as l1, (((var2, w2)::tl2) as l2) -> + if var1 = var2 then + let diffs = (w1 - w2) + diffs in + let r = compare w1 w2 in + let lt = lt or (r < 0) in + let gt = gt or (r > 0) in + if lt && gt then XINCOMPARABLE else + aux hdiff (lt, gt) diffs tl1 tl2 + else if var1 < var2 then + if lt then XINCOMPARABLE else + aux hdiff (false,true) (diffs+w1) tl1 l2 + else + if gt then XINCOMPARABLE else + aux hdiff (true,false) (diffs-w2) l1 tl2 + | [], (_,w2)::tl2 -> + if gt then XINCOMPARABLE else + aux hdiff (true,false) (diffs-w2) [] tl2 + | (_,w1)::tl1, [] -> + if lt then XINCOMPARABLE else + aux hdiff (false,true) (diffs+w1) tl1 [] + | [], [] -> + if lt then + if hdiff <= 0 then XLT else if (- diffs) >= hdiff then XLE else XINCOMPARABLE - else if gt then - if hdiff >= 0 then XGT + else if gt then + if hdiff >= 0 then XGT else if diffs >= (- hdiff) then XGE else XINCOMPARABLE - else - if hdiff < 0 then XLT - else if hdiff > 0 then XGT + else + if hdiff < 0 then XLT + else if hdiff > 0 then XGT else XEQ in aux (h1-h2) (false,false) 0 w1 w2 @@ -138,7 +140,7 @@ let compute_goal_weight (_,l, _, _) = * If we give back XEQ, no inference rule * * will be applied on this equality *) | Terms.Var i, Terms.Var j when i = j -> - XEQ + XEQ (* 1. *) | Terms.Var _, _ | _, Terms.Var _ -> XINCOMPARABLE @@ -219,14 +221,137 @@ let compute_goal_weight (_,l, _, _) = ) else r | res -> res ;; + + let rec lpo s t = + match s,t with + | s, t when s = t -> + XEQ + | Terms.Var _, Terms.Var _ -> + XINCOMPARABLE + | _, Terms.Var i -> + if (List.mem i (Terms.vars_of_term s)) then XGT + else XINCOMPARABLE + | Terms.Var i,_ -> + if (List.mem i (Terms.vars_of_term t)) then XLT + else XINCOMPARABLE + | Terms.Node (hd1::tl1), Terms.Node (hd2::tl2) -> + let rec ge_subterm t ol = function + | [] -> (false, ol) + | x::tl -> + let res = lpo x t in + match res with + | XGT | XEQ -> (true,res::ol) + | o -> ge_subterm t (o::ol) tl + in + let (res, l_ol) = ge_subterm t [] tl1 in + if res then XGT + else let (res, r_ol) = ge_subterm s [] tl2 in + if res then XLT + else begin + let rec check_subterms t = function + | _,[] -> true + | o::ol,_::tl -> + if o = XLT then check_subterms t (ol,tl) + else false + | [], x::tl -> + if lpo x t = XLT then check_subterms t ([],tl) + else false + in + match aux_ordering hd1 hd2 with + | XGT -> if check_subterms s (r_ol,tl2) then XGT + else XINCOMPARABLE + | XLT -> if check_subterms t (l_ol,tl1) then XLT + else XINCOMPARABLE + | XEQ -> + let lex = List.fold_left2 + (fun acc si ti -> if acc = XEQ then lpo si ti else acc) + XEQ tl1 tl2 + in + (match lex with + | XGT -> + if List.for_all (fun x -> lpo s x = XGT) tl2 then XGT + else XINCOMPARABLE + | XLT -> + if List.for_all (fun x -> lpo x t = XLT) tl1 then XLT + else XINCOMPARABLE + | o -> o) + | XINCOMPARABLE -> XINCOMPARABLE + | _ -> assert false + end + | _,_ -> aux_ordering s t + ;; + +let rec lpo_old t1 t2 = + match t1, t2 with + | t1, t2 when t1 = t2 -> XEQ + | t1, (Terms.Var m) -> + if List.mem m (Terms.vars_of_term t1) then XGT else XINCOMPARABLE + | (Terms.Var m), t2 -> + if List.mem m (Terms.vars_of_term t2) then XLT else XINCOMPARABLE + | Terms.Node (hd1::tl1), Terms.Node (hd2::tl2) -> ( + let res = + let f o r t = + if r then true else + match lpo_old t o with + | XGT | XEQ -> true + | _ -> false + in + let res1 = List.fold_left (f t2) false tl1 in + if res1 then XGT + else let res2 = List.fold_left (f t1) false tl2 in + if res2 then XLT + else XINCOMPARABLE + in + if res <> XINCOMPARABLE then + res + else + let f o r t = + if not r then false else + match lpo_old o t with + | XGT -> true + | _ -> false + in + match aux_ordering hd1 hd2 with + | XGT -> + let res = List.fold_left (f t1) true tl2 in + if res then XGT + else XINCOMPARABLE + | XLT -> + let res = List.fold_left (f t2) true tl1 in + if res then XLT + else XINCOMPARABLE + | XEQ -> ( + let lex_res = + try + List.fold_left2 + (fun r t1 t2 -> if r <> XEQ then r else lpo_old t1 t2) + XEQ tl1 tl2 + with Invalid_argument _ -> + XINCOMPARABLE + in + match lex_res with + | XGT -> + if List.fold_left (f t1) true tl2 then XGT + else XINCOMPARABLE + | XLT -> + if List.fold_left (f t2) true tl1 then XLT + else XINCOMPARABLE + | _ -> XINCOMPARABLE + ) + | _ -> XINCOMPARABLE + ) + | t1, t2 -> aux_ordering t1 t2 +;; + let compare_terms x y = - match nonrec_kbo x y with - | XINCOMPARABLE -> Terms.Incomparable - | XGT -> Terms.Gt - | XLT -> Terms.Lt - | XEQ -> Terms.Eq - | _ -> assert false + match nonrec_kbo x y with +(* match lpo x y with *) + | XINCOMPARABLE -> Terms.Incomparable + | XGT -> Terms.Gt + | XLT -> Terms.Lt + | XEQ -> Terms.Eq + | _ -> assert false ;; end