author | wenzelm |
Fri, 21 Oct 2005 18:14:47 +0200 | |
changeset 17967 | 7a733b7438e1 |
parent 17898 | ff78ecd1e768 |
child 18033 | ab8803126f84 |
permissions | -rw-r--r-- |
16014 | 1 |
(* Title: Pure/simplifier.ML |
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ID: $Id$ |
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Author: Tobias Nipkow and Markus Wenzel, TU Muenchen |
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Generic simplifier, suitable for most logics (see also |
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meta_simplifier.ML for the actual meta-level rewriting engine). |
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*) |
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signature BASIC_SIMPLIFIER = |
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sig |
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include BASIC_META_SIMPLIFIER |
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val print_simpset: theory -> unit |
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val change_simpset_of: theory -> (simpset -> simpset) -> unit |
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val change_simpset: (simpset -> simpset) -> unit |
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val simpset_of: theory -> simpset |
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val simpset: unit -> simpset |
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val SIMPSET: (simpset -> tactic) -> tactic |
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val SIMPSET': (simpset -> 'a -> tactic) -> 'a -> tactic |
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val Addsimps: thm list -> unit |
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val Delsimps: thm list -> unit |
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val Addsimprocs: simproc list -> unit |
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val Delsimprocs: simproc list -> unit |
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val Addcongs: thm list -> unit |
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val Delcongs: thm list -> unit |
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val local_simpset_of: Proof.context -> simpset |
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val generic_simp_tac: bool -> bool * bool * bool -> simpset -> int -> tactic |
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val safe_asm_full_simp_tac: simpset -> int -> tactic |
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val simp_tac: simpset -> int -> tactic |
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val asm_simp_tac: simpset -> int -> tactic |
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val full_simp_tac: simpset -> int -> tactic |
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val asm_lr_simp_tac: simpset -> int -> tactic |
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val asm_full_simp_tac: simpset -> int -> tactic |
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val Simp_tac: int -> tactic |
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val Asm_simp_tac: int -> tactic |
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val Full_simp_tac: int -> tactic |
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val Asm_lr_simp_tac: int -> tactic |
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val Asm_full_simp_tac: int -> tactic |
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val simplify: simpset -> thm -> thm |
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val asm_simplify: simpset -> thm -> thm |
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val full_simplify: simpset -> thm -> thm |
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val asm_lr_simplify: simpset -> thm -> thm |
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val asm_full_simplify: simpset -> thm -> thm |
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end; |
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signature SIMPLIFIER = |
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sig |
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include BASIC_SIMPLIFIER |
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val clear_ss: simpset -> simpset |
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val debug_bounds: bool ref |
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val inherit_context: simpset -> simpset -> simpset |
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val the_context: simpset -> Proof.context |
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val context: Proof.context -> simpset -> simpset |
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val theory_context: theory -> simpset -> simpset |
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val simproc_i: theory -> string -> term list |
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-> (theory -> simpset -> term -> thm option) -> simproc |
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val simproc: theory -> string -> string list |
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-> (theory -> simpset -> term -> thm option) -> simproc |
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val rewrite: simpset -> cterm -> thm |
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val asm_rewrite: simpset -> cterm -> thm |
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val full_rewrite: simpset -> cterm -> thm |
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val asm_lr_rewrite: simpset -> cterm -> thm |
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val asm_full_rewrite: simpset -> cterm -> thm |
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val get_simpset: theory -> simpset |
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val print_local_simpset: Proof.context -> unit |
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val get_local_simpset: Proof.context -> simpset |
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val put_local_simpset: simpset -> Proof.context -> Proof.context |
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val change_global_ss: (simpset * thm list -> simpset) -> theory attribute |
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val change_local_ss: (simpset * thm list -> simpset) -> Proof.context attribute |
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val simp_add_global: theory attribute |
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val simp_del_global: theory attribute |
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val simp_add_local: Proof.context attribute |
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val simp_del_local: Proof.context attribute |
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val cong_add_global: theory attribute |
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val cong_del_global: theory attribute |
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val cong_add_local: Proof.context attribute |
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val cong_del_local: Proof.context attribute |
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val simp_modifiers: (Args.T list -> (Method.modifier * Args.T list)) list |
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val method_setup: (Args.T list -> (Method.modifier * Args.T list)) list |
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-> (theory -> theory) list |
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val easy_setup: thm -> thm list -> (theory -> theory) list |
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end; |
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structure Simplifier: SIMPLIFIER = |
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struct |
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(** simpset data **) |
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(* global simpsets *) |
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structure GlobalSimpset = TheoryDataFun |
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(struct |
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val name = "Pure/simpset"; |
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type T = simpset ref; |
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val empty = ref empty_ss; |
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fun copy (ref ss) = ref ss: T; (*create new reference!*) |
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fun extend (ref ss) = ref (MetaSimplifier.inherit_context empty_ss ss); |
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fun merge _ (ref ss1, ref ss2) = ref (merge_ss (ss1, ss2)); |
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fun print _ (ref ss) = print_ss ss; |
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end); |
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val _ = Context.add_setup [GlobalSimpset.init]; |
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val print_simpset = GlobalSimpset.print; |
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val get_simpset = ! o GlobalSimpset.get; |
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val change_simpset_of = change o GlobalSimpset.get; |
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fun change_simpset f = change_simpset_of (Context.the_context ()) f; |
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fun simpset_of thy = MetaSimplifier.context (ProofContext.init thy) (get_simpset thy); |
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val simpset = simpset_of o Context.the_context; |
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fun SIMPSET tacf st = tacf (simpset_of (Thm.theory_of_thm st)) st; |
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fun SIMPSET' tacf i st = tacf (simpset_of (Thm.theory_of_thm st)) i st; |
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fun Addsimps args = change_simpset (fn ss => ss addsimps args); |
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fun Delsimps args = change_simpset (fn ss => ss delsimps args); |
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fun Addsimprocs args = change_simpset (fn ss => ss addsimprocs args); |
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fun Delsimprocs args = change_simpset (fn ss => ss delsimprocs args); |
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fun Addcongs args = change_simpset (fn ss => ss addcongs args); |
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fun Delcongs args = change_simpset (fn ss => ss delcongs args); |
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(* local simpsets *) |
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structure LocalSimpset = ProofDataFun |
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(struct |
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val name = "Pure/simpset"; |
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type T = simpset; |
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val init = get_simpset; |
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fun print _ ss = print_ss ss; |
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end); |
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val _ = Context.add_setup [LocalSimpset.init]; |
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val print_local_simpset = LocalSimpset.print; |
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val get_local_simpset = LocalSimpset.get; |
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val put_local_simpset = LocalSimpset.put; |
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fun local_simpset_of ctxt = MetaSimplifier.context ctxt (get_local_simpset ctxt); |
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(* attributes *) |
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fun change_global_ss f (thy, th) = (change_simpset_of thy (fn ss => f (ss, [th])); (thy, th)); |
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fun change_local_ss f (ctxt, th) = (LocalSimpset.map (fn ss => f (ss, [th])) ctxt, th); |
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val simp_add_global = change_global_ss (op addsimps); |
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val simp_del_global = change_global_ss (op delsimps); |
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val simp_add_local = change_local_ss (op addsimps); |
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val simp_del_local = change_local_ss (op delsimps); |
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val cong_add_global = change_global_ss (op addcongs); |
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val cong_del_global = change_global_ss (op delcongs); |
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val cong_add_local = change_local_ss (op addcongs); |
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val cong_del_local = change_local_ss (op delcongs); |
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(** simplification tactics and rules **) |
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fun solve_all_tac solvers ss = |
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let |
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val (_, {subgoal_tac, ...}) = MetaSimplifier.rep_ss ss; |
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val solve_tac = subgoal_tac (MetaSimplifier.set_solvers solvers ss) THEN_ALL_NEW (K no_tac); |
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in DEPTH_SOLVE (solve_tac 1) end; |
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(*NOTE: may instantiate unknowns that appear also in other subgoals*) |
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fun generic_simp_tac safe mode ss = |
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let |
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val (_, {loop_tacs, solvers = (unsafe_solvers, solvers), ...}) = MetaSimplifier.rep_ss ss; |
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val loop_tac = FIRST' (map (fn (_, tac) => tac ss) loop_tacs); |
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val solve_tac = FIRST' (map (MetaSimplifier.solver ss) |
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(if safe then solvers else unsafe_solvers)); |
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fun simp_loop_tac i = |
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asm_rewrite_goal_tac mode (solve_all_tac unsafe_solvers) ss i THEN |
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(solve_tac i ORELSE TRY ((loop_tac THEN_ALL_NEW simp_loop_tac) i)); |
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in simp_loop_tac end; |
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local |
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fun simp rew mode ss thm = |
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let |
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val (_, {solvers = (unsafe_solvers, _), ...}) = MetaSimplifier.rep_ss ss; |
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val tacf = solve_all_tac unsafe_solvers; |
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fun prover s th = Option.map #1 (Seq.pull (tacf s th)); |
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in rew mode prover ss thm end; |
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in |
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val simp_thm = simp MetaSimplifier.rewrite_thm; |
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val simp_cterm = simp MetaSimplifier.rewrite_cterm; |
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end; |
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(* tactics *) |
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val simp_tac = generic_simp_tac false (false, false, false); |
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val asm_simp_tac = generic_simp_tac false (false, true, false); |
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val full_simp_tac = generic_simp_tac false (true, false, false); |
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val asm_lr_simp_tac = generic_simp_tac false (true, true, false); |
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val asm_full_simp_tac = generic_simp_tac false (true, true, true); |
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val safe_asm_full_simp_tac = generic_simp_tac true (true, true, true); |
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(*the abstraction over the proof state delays the dereferencing*) |
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fun Simp_tac i st = simp_tac (simpset ()) i st; |
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fun Asm_simp_tac i st = asm_simp_tac (simpset ()) i st; |
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fun Full_simp_tac i st = full_simp_tac (simpset ()) i st; |
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fun Asm_lr_simp_tac i st = asm_lr_simp_tac (simpset ()) i st; |
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fun Asm_full_simp_tac i st = asm_full_simp_tac (simpset ()) i st; |
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(* conversions *) |
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val simplify = simp_thm (false, false, false); |
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val asm_simplify = simp_thm (false, true, false); |
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val full_simplify = simp_thm (true, false, false); |
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val asm_lr_simplify = simp_thm (true, true, false); |
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val asm_full_simplify = simp_thm (true, true, true); |
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val rewrite = simp_cterm (false, false, false); |
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val asm_rewrite = simp_cterm (false, true, false); |
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val full_rewrite = simp_cterm (true, false, false); |
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val asm_lr_rewrite = simp_cterm (true, true, false); |
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val asm_full_rewrite = simp_cterm (true, true, true); |
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(** concrete syntax of attributes **) |
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(* add / del *) |
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val simpN = "simp"; |
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val congN = "cong"; |
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val addN = "add"; |
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val delN = "del"; |
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val onlyN = "only"; |
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val no_asmN = "no_asm"; |
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val no_asm_useN = "no_asm_use"; |
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val no_asm_simpN = "no_asm_simp"; |
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val asm_lrN = "asm_lr"; |
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val simp_attr = |
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(Attrib.add_del_args simp_add_global simp_del_global, |
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Attrib.add_del_args simp_add_local simp_del_local); |
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val cong_attr = |
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(Attrib.add_del_args cong_add_global cong_del_global, |
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Attrib.add_del_args cong_add_local cong_del_local); |
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(* conversions *) |
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local |
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fun conv_mode x = |
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((Args.parens (Args.$$$ no_asmN) >> K simplify || |
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Args.parens (Args.$$$ no_asm_simpN) >> K asm_simplify || |
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Args.parens (Args.$$$ no_asm_useN) >> K full_simplify || |
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Scan.succeed asm_full_simplify) |> Scan.lift) x; |
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fun simplified_att get args = |
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Attrib.syntax (conv_mode -- args >> (fn (f, ths) => |
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Drule.rule_attribute (fn x => |
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f ((if null ths then I else MetaSimplifier.clear_ss) (get x) addsimps ths)))); |
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in |
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val simplified_attr = |
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(simplified_att simpset_of Attrib.global_thmss, |
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simplified_att local_simpset_of Attrib.local_thmss); |
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end; |
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(* setup attributes *) |
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val _ = Context.add_setup |
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[Attrib.add_attributes |
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[(simpN, simp_attr, "declaration of simplification rule"), |
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(congN, cong_attr, "declaration of Simplifier congruence rule"), |
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("simplified", simplified_attr, "simplified rule")]]; |
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(** proof methods **) |
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(* simplification *) |
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val simp_options = |
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(Args.parens (Args.$$$ no_asmN) >> K simp_tac || |
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Args.parens (Args.$$$ no_asm_simpN) >> K asm_simp_tac || |
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Args.parens (Args.$$$ no_asm_useN) >> K full_simp_tac || |
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Args.parens (Args.$$$ asm_lrN) >> K asm_lr_simp_tac || |
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Scan.succeed asm_full_simp_tac); |
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fun simp_flags x = (Scan.repeat |
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(Args.parens (Args.$$$ "depth_limit" -- Args.colon |-- Args.nat) |
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>> setmp MetaSimplifier.simp_depth_limit) |
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>> (curry (Library.foldl op o) I o rev)) x; |
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|
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val cong_modifiers = |
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[Args.$$$ congN -- Args.colon >> K ((I, cong_add_local): Method.modifier), |
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Args.$$$ congN -- Args.add -- Args.colon >> K (I, cong_add_local), |
306 |
Args.$$$ congN -- Args.del -- Args.colon >> K (I, cong_del_local)]; |
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val simp_modifiers = |
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[Args.$$$ simpN -- Args.colon >> K (I, simp_add_local), |
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Args.$$$ simpN -- Args.add -- Args.colon >> K (I, simp_add_local), |
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Args.$$$ simpN -- Args.del -- Args.colon >> K (I, simp_del_local), |
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Args.$$$ simpN -- Args.$$$ onlyN -- Args.colon |
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>> K (LocalSimpset.map MetaSimplifier.clear_ss, simp_add_local)] |
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@ cong_modifiers; |
315 |
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val simp_modifiers' = |
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[Args.add -- Args.colon >> K (I, simp_add_local), |
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Args.del -- Args.colon >> K (I, simp_del_local), |
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Args.$$$ onlyN -- Args.colon >> K (LocalSimpset.map MetaSimplifier.clear_ss, simp_add_local)] |
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@ cong_modifiers; |
321 |
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322 |
fun simp_args more_mods = |
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Method.sectioned_args (Args.bang_facts -- Scan.lift simp_options -- Scan.lift simp_flags) |
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(more_mods @ simp_modifiers'); |
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fun simp_method ((prems, tac), FLAGS) ctxt = Method.METHOD (fn facts => |
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ALLGOALS (Method.insert_tac (prems @ facts)) THEN |
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(FLAGS o CHANGED_PROP o ALLGOALS o tac) (local_simpset_of ctxt)); |
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fun simp_method' ((prems, tac), FLAGS) ctxt = Method.METHOD (fn facts => |
16014 | 331 |
HEADGOAL (Method.insert_tac (prems @ facts) THEN' |
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((FLAGS o CHANGED_PROP) oo tac) (local_simpset_of ctxt))); |
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|
334 |
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335 |
(* setup methods *) |
|
336 |
||
337 |
fun setup_methods more_mods = Method.add_methods |
|
338 |
[(simpN, simp_args more_mods simp_method', "simplification"), |
|
339 |
("simp_all", simp_args more_mods simp_method, "simplification (all goals)")]; |
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340 |
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341 |
fun method_setup mods = [setup_methods mods]; |
|
342 |
||
343 |
||
344 |
(** easy_setup **) |
|
345 |
||
346 |
fun easy_setup reflect trivs = |
|
347 |
let |
|
348 |
val trivialities = Drule.reflexive_thm :: trivs; |
|
349 |
||
350 |
fun unsafe_solver_tac prems = FIRST' [resolve_tac (trivialities @ prems), assume_tac]; |
|
351 |
val unsafe_solver = mk_solver "easy unsafe" unsafe_solver_tac; |
|
352 |
||
353 |
(*no premature instantiation of variables during simplification*) |
|
354 |
fun safe_solver_tac prems = FIRST' [match_tac (trivialities @ prems), eq_assume_tac]; |
|
355 |
val safe_solver = mk_solver "easy safe" safe_solver_tac; |
|
356 |
||
357 |
fun mk_eq thm = |
|
358 |
if Logic.is_equals (Thm.concl_of thm) then [thm] |
|
359 |
else [thm RS reflect] handle THM _ => []; |
|
360 |
||
361 |
fun mksimps thm = mk_eq (Drule.forall_elim_vars (#maxidx (Thm.rep_thm thm) + 1) thm); |
|
362 |
||
363 |
fun init_ss thy = |
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364 |
(GlobalSimpset.get thy := |
16014 | 365 |
empty_ss setsubgoaler asm_simp_tac |
366 |
setSSolver safe_solver |
|
367 |
setSolver unsafe_solver |
|
368 |
setmksimps mksimps; thy); |
|
369 |
in method_setup [] @ [init_ss] end; |
|
370 |
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|
371 |
|
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372 |
open MetaSimplifier; |
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373 |
|
16014 | 374 |
end; |
375 |
||
376 |
structure BasicSimplifier: BASIC_SIMPLIFIER = Simplifier; |
|
377 |
open BasicSimplifier; |