author | wenzelm |
Tue, 26 Apr 2011 21:49:39 +0200 | |
changeset 42478 | 8a526c010c3b |
parent 42373 | fb539d6d1ac2 |
child 42479 | b7c9f09d4d88 |
permissions | -rw-r--r-- |
9772 | 1 |
(* Title: Provers/clasimp.ML |
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Author: David von Oheimb, TU Muenchen |
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Combination of classical reasoner and simplifier (depends on |
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splitter.ML, classical.ML, blast.ML). |
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*) |
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infix 4 addSIs2 addSEs2 addSDs2 addIs2 addEs2 addDs2 addsimps2 delsimps2 |
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addSss addss addss' addIffs delIffs; |
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signature CLASIMP_DATA = |
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sig |
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structure Splitter: SPLITTER |
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structure Classical: CLASSICAL |
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structure Blast: BLAST |
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sharing type Classical.claset = Blast.claset |
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val notE: thm |
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val iffD1: thm |
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val iffD2: thm |
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end |
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||
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signature CLASIMP = |
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sig |
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type claset |
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type clasimpset |
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val get_css: Context.generic -> clasimpset |
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val map_css: (clasimpset -> clasimpset) -> Context.generic -> Context.generic |
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val clasimpset_of: Proof.context -> clasimpset |
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val addSIs2: clasimpset * thm list -> clasimpset |
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val addSEs2: clasimpset * thm list -> clasimpset |
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val addSDs2: clasimpset * thm list -> clasimpset |
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val addIs2: clasimpset * thm list -> clasimpset |
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val addEs2: clasimpset * thm list -> clasimpset |
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val addDs2: clasimpset * thm list -> clasimpset |
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val addsimps2: clasimpset * thm list -> clasimpset |
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val delsimps2: clasimpset * thm list -> clasimpset |
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val addSss: claset * simpset -> claset |
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val addss: claset * simpset -> claset |
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val addss': claset * simpset -> claset |
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val addIffs: clasimpset * thm list -> clasimpset |
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val delIffs: clasimpset * thm list -> clasimpset |
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val clarsimp_tac: clasimpset -> int -> tactic |
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val mk_auto_tac: clasimpset -> int -> int -> tactic |
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val auto_tac: clasimpset -> tactic |
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val force_tac: clasimpset -> int -> tactic |
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val fast_simp_tac: clasimpset -> int -> tactic |
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val slow_simp_tac: clasimpset -> int -> tactic |
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val best_simp_tac: clasimpset -> int -> tactic |
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val attrib: (clasimpset * thm list -> clasimpset) -> attribute |
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val iff_add: attribute |
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val iff_add': attribute |
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val iff_del: attribute |
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val iff_modifiers: Method.modifier parser list |
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val clasimp_modifiers: Method.modifier parser list |
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val clasimp_setup: theory -> theory |
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end; |
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functor Clasimp(Data: CLASIMP_DATA): CLASIMP = |
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struct |
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structure Splitter = Data.Splitter; |
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structure Classical = Data.Classical; |
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structure Blast = Data.Blast; |
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(* type clasimpset *) |
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type claset = Classical.claset; |
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type clasimpset = claset * simpset; |
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fun get_css context = (Classical.get_cs context, Simplifier.get_ss context); |
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fun map_css f context = |
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let |
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val (cs, ss) = get_css context; |
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val (cs', ss') = f (cs, Simplifier.context (Context.proof_of context) ss); |
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in |
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context |
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|> Classical.map_cs (K cs') |
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|> Simplifier.map_ss (K (Simplifier.inherit_context ss ss')) |
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end; |
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|
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fun clasimpset_of ctxt = (Classical.claset_of ctxt, Simplifier.simpset_of ctxt); |
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(* clasimpset operations *) |
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(*this interface for updating a clasimpset is rudimentary and just for |
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convenience for the most common cases*) |
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fun pair_upd1 f ((a, b), x) = (f (a, x), b); |
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fun pair_upd2 f ((a, b), x) = (a, f (b, x)); |
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fun op addSIs2 arg = pair_upd1 Classical.addSIs arg; |
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fun op addSEs2 arg = pair_upd1 Classical.addSEs arg; |
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fun op addSDs2 arg = pair_upd1 Classical.addSDs arg; |
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fun op addIs2 arg = pair_upd1 Classical.addIs arg; |
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fun op addEs2 arg = pair_upd1 Classical.addEs arg; |
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fun op addDs2 arg = pair_upd1 Classical.addDs arg; |
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fun op addsimps2 arg = pair_upd2 Simplifier.addsimps arg; |
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fun op delsimps2 arg = pair_upd2 Simplifier.delsimps arg; |
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(*not totally safe: may instantiate unknowns that appear also in other subgoals*) |
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val safe_asm_full_simp_tac = Simplifier.generic_simp_tac true (true,true,true); |
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(*Add a simpset to a classical set!*) |
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(*Caution: only one simpset added can be added by each of addSss and addss*) |
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fun cs addSss ss = |
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Classical.addSafter (cs, ("safe_asm_full_simp_tac", CHANGED o safe_asm_full_simp_tac ss)); |
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fun cs addss ss = |
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Classical.addbefore (cs, ("asm_full_simp_tac", CHANGED o Simplifier.asm_full_simp_tac ss)); |
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fun cs addss' ss = |
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Classical.addbefore (cs, ("asm_full_simp_tac", CHANGED o Simplifier.asm_lr_simp_tac ss)); |
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(* iffs: addition of rules to simpsets and clasets simultaneously *) |
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(*Takes (possibly conditional) theorems of the form A<->B to |
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the Safe Intr rule B==>A and |
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the Safe Destruct rule A==>B. |
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Also ~A goes to the Safe Elim rule A ==> ?R |
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Failing other cases, A is added as a Safe Intr rule*) |
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local |
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fun addIff decls1 decls2 simp ((cs, ss), th) = |
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let |
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val n = nprems_of th; |
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val (elim, intro) = if n = 0 then decls1 else decls2; |
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val zero_rotate = zero_var_indexes o rotate_prems n; |
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in |
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(elim (intro (cs, [zero_rotate (th RS Data.iffD2)]), |
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[Tactic.make_elim (zero_rotate (th RS Data.iffD1))]) |
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handle THM _ => (elim (cs, [zero_rotate (th RS Data.notE)]) |
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handle THM _ => intro (cs, [th])), |
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simp (ss, [th])) |
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end; |
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fun delIff delcs delss ((cs, ss), th) = |
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let val zero_rotate = zero_var_indexes o rotate_prems (nprems_of th) in |
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(delcs (cs, [zero_rotate (th RS Data.iffD2), |
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Tactic.make_elim (zero_rotate (th RS Data.iffD1))]) |
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handle THM _ => (delcs (cs, [zero_rotate (th RS Data.notE)]) |
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handle THM _ => delcs (cs, [th])), |
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delss (ss, [th])) |
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end; |
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fun modifier att (x, ths) = |
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fst (Library.foldl_map (Library.apply [att]) (x, rev ths)); |
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val addXIs = modifier (Context_Rules.intro_query NONE); |
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val addXEs = modifier (Context_Rules.elim_query NONE); |
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val delXs = modifier Context_Rules.rule_del; |
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in |
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val op addIffs = |
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Library.foldl |
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(addIff (Classical.addSEs, Classical.addSIs) |
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(Classical.addEs, Classical.addIs) |
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Simplifier.addsimps); |
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val op delIffs = Library.foldl (delIff Classical.delrules Simplifier.delsimps); |
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fun addIffs_generic (x, ths) = |
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Library.foldl (addIff (addXEs, addXIs) (addXEs, addXIs) #1) ((x, ()), ths) |> #1; |
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fun delIffs_generic (x, ths) = |
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Library.foldl (delIff delXs #1) ((x, ()), ths) |> #1; |
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end; |
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(* tactics *) |
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fun clarsimp_tac (cs, ss) = |
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safe_asm_full_simp_tac ss THEN_ALL_NEW |
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Classical.clarify_tac (cs addSss ss); |
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(* auto_tac *) |
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fun blast_depth_tac cs m i thm = |
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Blast.depth_tac cs m i thm |
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handle Blast.TRANS s => (warning ("Blast_tac: " ^ s); Seq.empty); |
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(* a variant of depth_tac that avoids interference of the simplifier |
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with dup_step_tac when they are combined by auto_tac *) |
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local |
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fun slow_step_tac' cs = |
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Classical.appWrappers cs |
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(Classical.instp_step_tac cs APPEND' Classical.haz_step_tac cs); |
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||
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in |
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||
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fun nodup_depth_tac cs m i state = |
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SELECT_GOAL |
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(Classical.safe_steps_tac cs 1 THEN_ELSE |
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(DEPTH_SOLVE (nodup_depth_tac cs m 1), |
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Classical.inst0_step_tac cs 1 APPEND COND (K (m = 0)) no_tac |
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(slow_step_tac' cs 1 THEN DEPTH_SOLVE (nodup_depth_tac cs (m - 1) 1)))) i state; |
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end; |
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(*Designed to be idempotent, except if blast_depth_tac instantiates variables |
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in some of the subgoals*) |
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fun mk_auto_tac (cs, ss) m n = |
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let |
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val cs' = cs addss ss; |
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val main_tac = |
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blast_depth_tac cs m (* fast but can't use wrappers *) |
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ORELSE' |
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(CHANGED o nodup_depth_tac cs' n); (* slower but more general *) |
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in |
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EVERY [PARALLEL_GOALS (ALLGOALS (Simplifier.asm_full_simp_tac ss)), |
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TRY (Classical.safe_tac cs), |
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REPEAT_DETERM (FIRSTGOAL main_tac), |
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TRY (Classical.safe_tac (cs addSss ss)), |
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prune_params_tac] |
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end; |
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fun auto_tac css = mk_auto_tac css 4 2; |
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(* force_tac *) |
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(* aimed to solve the given subgoal totally, using whatever tools possible *) |
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fun force_tac (cs, ss) = |
228 |
let val cs' = cs addss ss in |
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SELECT_GOAL (EVERY [ |
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Classical.clarify_tac cs' 1, |
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IF_UNSOLVED (Simplifier.asm_full_simp_tac ss 1), |
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ALLGOALS (Classical.first_best_tac cs')]) |
|
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end; |
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(* basic combinations *) |
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||
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fun ADDSS tac (cs, ss) = let val cs' = cs addss ss in tac cs' end; |
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val fast_simp_tac = ADDSS Classical.fast_tac; |
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val slow_simp_tac = ADDSS Classical.slow_tac; |
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val best_simp_tac = ADDSS Classical.best_tac; |
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(** access clasimpset **) |
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(* attributes *) |
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fun attrib f = Thm.declaration_attribute (fn th => map_css (fn css => f (css, [th]))); |
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fun attrib' f (x, th) = (f (x, [th]), th); |
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added iff_add_global', iff_add_local' (syntax "iff?");
wenzelm
parents:
9952
diff
changeset
|
252 |
|
18688 | 253 |
val iff_add = attrib (op addIffs); |
254 |
val iff_add' = attrib' addIffs_generic; |
|
255 |
val iff_del = attrib (op delIffs) o attrib' delIffs_generic; |
|
256 |
||
30528 | 257 |
fun iff_att x = (Scan.lift |
18688 | 258 |
(Args.del >> K iff_del || |
259 |
Scan.option Args.add -- Args.query >> K iff_add' || |
|
30528 | 260 |
Scan.option Args.add >> K iff_add)) x; |
9860 | 261 |
|
262 |
||
263 |
(* method modifiers *) |
|
264 |
||
265 |
val iffN = "iff"; |
|
266 |
||
267 |
val iff_modifiers = |
|
18728 | 268 |
[Args.$$$ iffN -- Scan.option Args.add -- Args.colon >> K ((I, iff_add): Method.modifier), |
269 |
Args.$$$ iffN -- Scan.option Args.add -- Args.query_colon >> K (I, iff_add'), |
|
270 |
Args.$$$ iffN -- Args.del -- Args.colon >> K (I, iff_del)]; |
|
9860 | 271 |
|
8469 | 272 |
val clasimp_modifiers = |
9860 | 273 |
Simplifier.simp_modifiers @ Splitter.split_modifiers @ |
274 |
Classical.cla_modifiers @ iff_modifiers; |
|
275 |
||
276 |
||
277 |
(* methods *) |
|
5926 | 278 |
|
35613 | 279 |
fun clasimp_meth tac ctxt = METHOD (fn facts => |
280 |
ALLGOALS (Method.insert_tac facts) THEN tac (clasimpset_of ctxt)); |
|
7132 | 281 |
|
35613 | 282 |
fun clasimp_meth' tac ctxt = METHOD (fn facts => |
283 |
HEADGOAL (Method.insert_tac facts THEN' tac (clasimpset_of ctxt))); |
|
5926 | 284 |
|
285 |
||
30541 | 286 |
fun clasimp_method' tac = |
35613 | 287 |
Method.sections clasimp_modifiers >> K (clasimp_meth' tac); |
9772 | 288 |
|
30541 | 289 |
val auto_method = |
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36601
diff
changeset
|
290 |
Scan.lift (Scan.option (Parse.nat -- Parse.nat)) --| |
35613 | 291 |
Method.sections clasimp_modifiers >> |
292 |
(fn NONE => clasimp_meth (CHANGED_PROP o auto_tac) |
|
293 |
| SOME (m, n) => clasimp_meth (CHANGED_PROP o (fn css => mk_auto_tac css m n))); |
|
9772 | 294 |
|
295 |
||
296 |
(* theory setup *) |
|
297 |
||
26497
1873915c64a9
purely functional setup of claset/simpset/clasimpset;
wenzelm
parents:
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diff
changeset
|
298 |
val clasimp_setup = |
30541 | 299 |
Attrib.setup @{binding iff} iff_att "declaration of Simplifier / Classical rules" #> |
300 |
Method.setup @{binding fastsimp} (clasimp_method' fast_simp_tac) "combined fast and simp" #> |
|
301 |
Method.setup @{binding slowsimp} (clasimp_method' slow_simp_tac) "combined slow and simp" #> |
|
302 |
Method.setup @{binding bestsimp} (clasimp_method' best_simp_tac) "combined best and simp" #> |
|
303 |
Method.setup @{binding force} (clasimp_method' force_tac) "force" #> |
|
304 |
Method.setup @{binding auto} auto_method "auto" #> |
|
305 |
Method.setup @{binding clarsimp} (clasimp_method' (CHANGED_PROP oo clarsimp_tac)) |
|
306 |
"clarify simplified goal"; |
|
5926 | 307 |
|
4652
d24cca140eeb
factored out common code of HOL/simpdata.ML and FOL/simpdata.ML concerning
oheimb
parents:
diff
changeset
|
308 |
end; |