--- a/src/Pure/Proof/proof_rewrite_rules.ML Wed Feb 20 15:47:42 2002 +0100
+++ b/src/Pure/Proof/proof_rewrite_rules.ML Wed Feb 20 15:56:26 2002 +0100
@@ -3,14 +3,15 @@
Author: Stefan Berghofer, TU Muenchen
License: GPL (GNU GENERAL PUBLIC LICENSE)
-Simplification function for partial proof terms involving
-meta level rules.
+Simplification functions for proof terms involving meta level rules.
*)
signature PROOF_REWRITE_RULES =
sig
val rew : bool -> typ list -> Proofterm.proof -> Proofterm.proof option
val rprocs : bool -> (string * (typ list -> Proofterm.proof -> Proofterm.proof option)) list
+ val rewrite_terms : (term -> term) -> Proofterm.proof -> Proofterm.proof
+ val elim_defs : Sign.sg -> thm list -> Proofterm.proof -> Proofterm.proof
val setup : (theory -> theory) list
end;
@@ -174,4 +175,80 @@
fun rprocs b = [("Pure/meta_equality", rew b)];
val setup = [Proofterm.add_prf_rprocs (rprocs false)];
+
+(**** apply rewriting function to all terms in proof ****)
+
+fun rewrite_terms r =
+ let
+ fun rew_term Ts t =
+ let
+ val frees = map Free (variantlist
+ (replicate (length Ts) "x", add_term_names (t, [])) ~~ Ts);
+ val t' = r (subst_bounds (frees, t));
+ fun strip [] t = t
+ | strip (_ :: xs) (Abs (_, _, t)) = strip xs t;
+ in
+ strip Ts (foldl (uncurry lambda o Library.swap) (t', frees))
+ end;
+
+ fun rew Ts (prf1 %% prf2) = rew Ts prf1 %% rew Ts prf2
+ | rew Ts (prf % Some t) = rew Ts prf % Some (rew_term Ts t)
+ | rew Ts (Abst (s, Some T, prf)) = Abst (s, Some T, rew (T :: Ts) prf)
+ | rew Ts (AbsP (s, Some t, prf)) = AbsP (s, Some (rew_term Ts t), rew Ts prf)
+ | rew _ prf = prf
+
+ in rew [] end;
+
+
+(**** eliminate definitions in proof ****)
+
+fun abs_def thm =
+ let
+ val (_, cvs) = Drule.strip_comb (fst (dest_equals (cprop_of thm)));
+ val thm' = foldr (fn (ct, thm) =>
+ Thm.abstract_rule (fst (fst (dest_Var (term_of ct)))) ct thm) (cvs, thm);
+ in
+ MetaSimplifier.fconv_rule Thm.eta_conversion thm'
+ end;
+
+fun vars_of t = rev (foldl_aterms
+ (fn (vs, v as Var _) => v ins vs | (vs, _) => vs) ([], t));
+
+fun insert_refl defs Ts (prf1 %% prf2) =
+ insert_refl defs Ts prf1 %% insert_refl defs Ts prf2
+ | insert_refl defs Ts (Abst (s, Some T, prf)) =
+ Abst (s, Some T, insert_refl defs (T :: Ts) prf)
+ | insert_refl defs Ts (AbsP (s, t, prf)) =
+ AbsP (s, t, insert_refl defs Ts prf)
+ | insert_refl defs Ts prf = (case strip_combt prf of
+ (PThm ((s, _), _, prop, Some Ts), ts) =>
+ if s mem defs then
+ let
+ val vs = vars_of prop;
+ val tvars = term_tvars prop;
+ val (_, rhs) = Logic.dest_equals prop;
+ val rhs' = foldl betapply (subst_TVars (map fst tvars ~~ Ts)
+ (foldr (fn p => Abs ("", dummyT, abstract_over p)) (vs, rhs)),
+ map the ts);
+ in
+ change_type (Some [fastype_of1 (Ts, rhs')]) reflexive_axm %> rhs'
+ end
+ else prf
+ | (_, []) => prf
+ | (prf', ts) => proof_combt' (insert_refl defs Ts prf', ts));
+
+fun elim_defs sign defs prf =
+ let
+ val tsig = Sign.tsig_of sign;
+ val defs' = map (Logic.dest_equals o prop_of o abs_def) defs;
+ val defnames = map Thm.name_of_thm defs;
+ val cnames = map (fst o dest_Const o fst) defs';
+ val thmnames = map fst (filter_out (fn (s, ps) =>
+ null (foldr add_term_consts (map fst ps, []) inter cnames))
+ (Symtab.dest (thms_of_proof Symtab.empty prf))) \\ defnames
+ in
+ rewrite_terms (Pattern.rewrite_term tsig defs') (insert_refl defnames []
+ (Reconstruct.expand_proof sign thmnames prf))
+ end;
+
end;