diff -r d885cff91200 -r 30b8a5825a9c src/Pure/more_pattern.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/Pure/more_pattern.ML Fri Nov 21 18:14:39 2014 +0100 @@ -0,0 +1,135 @@ +(* Title: Pure/more_pattern.ML + Author: Tobias Nipkow, TU Muenchen + Author: Stefan Berghofer, TU Muenchen + +Add-ons to Higher-Order Patterns, outside the inference kernel. +*) + +signature PATTERN = +sig + include PATTERN + val matches: theory -> term * term -> bool + val matchess: theory -> term list * term list -> bool + val equiv: theory -> term * term -> bool + val matches_subterm: theory -> term * term -> bool + val first_order: term -> bool + val pattern: term -> bool + val match_rew: theory -> term -> term * term -> (term * term) option + val rewrite_term: theory -> (term * term) list -> (term -> term option) list -> term -> term + val rewrite_term_top: theory -> (term * term) list -> (term -> term option) list -> term -> term +end; + +structure Pattern: PATTERN = +struct + +fun matches thy po = + (Pattern.match thy po (Vartab.empty, Vartab.empty); true) handle Pattern.MATCH => false; + +fun matchess thy (ps, os) = + length ps = length os andalso + ((fold (Pattern.match thy) (ps ~~ os) (Vartab.empty, Vartab.empty); true) + handle Pattern.MATCH => false); + +fun equiv thy (t, u) = matches thy (t, u) andalso matches thy (u, t); + + +(* Does pat match a subterm of obj? *) +fun matches_subterm thy (pat, obj) = + let + fun msub bounds obj = matches thy (pat, obj) orelse + (case obj of + Abs (x, T, t) => msub (bounds + 1) (snd (Term.dest_abs (Name.bound bounds, T, t))) + | t $ u => msub bounds t orelse msub bounds u + | _ => false) + in msub 0 obj end; + +fun first_order (Abs (_, _, t)) = first_order t + | first_order (t $ u) = first_order t andalso first_order u andalso not (is_Var t) + | first_order _ = true; + +fun pattern (Abs (_, _, t)) = pattern t + | pattern t = + let val (head, args) = strip_comb t in + if is_Var head then + forall is_Bound args andalso not (has_duplicates (op aconv) args) + else forall pattern args + end; + + +(* rewriting -- simple but fast *) + +fun match_rew thy tm (tm1, tm2) = + let val rtm = the_default tm2 (Term.rename_abs tm1 tm tm2) in + SOME (Envir.subst_term (Pattern.match thy (tm1, tm) (Vartab.empty, Vartab.empty)) rtm, rtm) + handle Pattern.MATCH => NONE + end; + +fun gen_rewrite_term bot thy rules procs tm = + let + val skel0 = Bound 0; + + fun variant_absfree bounds (x, T, t) = + let + val (x', t') = Term.dest_abs (Name.bound bounds, T, t); + fun abs u = Abs (x, T, abstract_over (Free (x', T), u)); + in (abs, t') end; + + fun rew (Abs (_, _, body) $ t) = SOME (subst_bound (t, body), skel0) + | rew tm = + (case get_first (match_rew thy tm) rules of + NONE => Option.map (rpair skel0) (get_first (fn p => p tm) procs) + | x => x); + + fun rew_sub r bounds skel (tm1 $ tm2) = (case tm1 of + Abs (_, _, body) => + let val tm' = subst_bound (tm2, body) + in SOME (the_default tm' (rew_sub r bounds skel0 tm')) end + | _ => + let val (skel1, skel2) = (case skel of + skel1 $ skel2 => (skel1, skel2) + | _ => (skel0, skel0)) + in case r bounds skel1 tm1 of + SOME tm1' => (case r bounds skel2 tm2 of + SOME tm2' => SOME (tm1' $ tm2') + | NONE => SOME (tm1' $ tm2)) + | NONE => (case r bounds skel2 tm2 of + SOME tm2' => SOME (tm1 $ tm2') + | NONE => NONE) + end) + | rew_sub r bounds skel (Abs body) = + let + val (abs, tm') = variant_absfree bounds body; + val skel' = (case skel of Abs (_, _, skel') => skel' | _ => skel0) + in case r (bounds + 1) skel' tm' of + SOME tm'' => SOME (abs tm'') + | NONE => NONE + end + | rew_sub _ _ _ _ = NONE; + + fun rew_bot bounds (Var _) _ = NONE + | rew_bot bounds skel tm = (case rew_sub rew_bot bounds skel tm of + SOME tm1 => (case rew tm1 of + SOME (tm2, skel') => SOME (the_default tm2 (rew_bot bounds skel' tm2)) + | NONE => SOME tm1) + | NONE => (case rew tm of + SOME (tm1, skel') => SOME (the_default tm1 (rew_bot bounds skel' tm1)) + | NONE => NONE)); + + fun rew_top bounds _ tm = (case rew tm of + SOME (tm1, _) => (case rew_sub rew_top bounds skel0 tm1 of + SOME tm2 => SOME (the_default tm2 (rew_top bounds skel0 tm2)) + | NONE => SOME tm1) + | NONE => (case rew_sub rew_top bounds skel0 tm of + SOME tm1 => SOME (the_default tm1 (rew_top bounds skel0 tm1)) + | NONE => NONE)); + + in the_default tm ((if bot then rew_bot else rew_top) 0 skel0 tm) end; + +val rewrite_term = gen_rewrite_term true; +val rewrite_term_top = gen_rewrite_term false; + + +open Pattern; + +end; +