author | oheimb |
Mon, 21 Sep 1998 23:17:28 +0200 | |
changeset 5525 | 896f8234b864 |
parent 5483 | 2fc3f4450fe8 |
child 5554 | 3cae5d6510c2 |
permissions | -rw-r--r-- |
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(* Title: Provers/clasimp.ML |
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ID: $Id$ |
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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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simplifier.ML, classical.ML, blast.ML). |
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*) |
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infix 4 addSIs2 addSEs2 addSDs2 addIs2 addEs2 addDs2 |
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addsimps2 delsimps2 addcongs2 delcongs2; |
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infix 4 addSss addss; |
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signature CLASIMP_DATA = |
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sig |
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structure Simplifier: SIMPLIFIER |
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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 addcongs: Simplifier.simpset * thm list -> Simplifier.simpset |
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val delcongs: Simplifier.simpset * thm list -> Simplifier.simpset |
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val addSaltern: Classical.claset * (string * (int -> tactic)) -> Classical.claset |
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val addbefore: Classical.claset * (string * (int -> tactic)) -> Classical.claset |
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end |
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||
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signature CLASIMP = |
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sig |
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include CLASIMP_DATA |
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type claset |
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type simpset |
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type 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 CLASIMPSET :(clasimpset -> tactic) -> tactic |
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val CLASIMPSET' :(clasimpset -> 'a -> tactic) -> 'a -> tactic |
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val clarsimp_tac: clasimpset -> int -> tactic |
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val Clarsimp_tac: 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 Auto_tac : tactic |
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val auto : unit -> unit |
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val force_tac : clasimpset -> int -> tactic |
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val Force_tac : int -> tactic |
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val force : int -> unit |
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end; |
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functor ClasimpFun(Data: CLASIMP_DATA): CLASIMP = |
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struct |
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open Data; |
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type claset = Classical.claset; |
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type simpset = Simplifier.simpset; |
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type clasimpset = claset * simpset; |
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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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fun op addcongs2 arg = pair_upd2 Data.addcongs arg; |
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fun op delcongs2 arg = pair_upd2 Data.delcongs arg; |
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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 = cs addSaltern ("safe_asm_full_simp_tac", |
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CHANGED o Simplifier.safe_asm_full_simp_tac ss); |
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fun cs addss ss = cs addbefore ("asm_full_simp_tac", |
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CHANGED o Simplifier.asm_full_simp_tac ss); |
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(* tacticals *) |
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fun CLASIMPSET tacf state = |
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Classical.CLASET (fn cs => Simplifier.SIMPSET (fn ss => tacf (cs, ss))) state; |
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fun CLASIMPSET' tacf i state = |
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Classical.CLASET (fn cs => Simplifier.SIMPSET (fn ss => tacf (cs, ss) i)) state; |
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fun clarsimp_tac (cs, ss) = Simplifier.safe_asm_full_simp_tac ss THEN_MAYBE' |
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Classical.clarify_tac (cs addSss ss); |
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fun Clarsimp_tac i = clarsimp_tac (Classical.claset(), Simplifier.simpset()) i; |
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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 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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fun nodup_depth_tac cs m i state = CHANGED (SELECT_GOAL |
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(REPEAT_DETERM1 (COND (has_fewer_prems 1) no_tac |
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(Classical.safe_step_tac cs 1)) |
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THEN_ELSE (DEPTH_SOLVE (nodup_depth_tac cs m 1), |
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Classical.appWrappers cs (fn i => Classical.inst0_step_tac cs i APPEND |
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COND (K(m=0)) no_tac |
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((Classical.instp_step_tac cs i APPEND Classical.step_tac cs i) |
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THEN DEPTH_SOLVE (nodup_depth_tac cs (m-1) i))) 1)) |
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i) state; |
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(*Designed to be idempotent, except if best_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 val cs' = cs addss ss |
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val maintac = |
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blast_depth_tac cs m (*fast but can't use addss*) |
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ORELSE' |
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nodup_depth_tac cs' n; (*slower but more general*) |
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in EVERY [ALLGOALS (Simplifier.asm_full_simp_tac ss), |
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TRY (Classical.safe_tac cs), |
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REPEAT (FIRSTGOAL maintac), |
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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 (cs,ss) = mk_auto_tac (cs,ss) 4 2; |
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fun Auto_tac st = auto_tac (Classical.claset(), Simplifier.simpset()) st; |
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fun auto () = by Auto_tac; |
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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) = let val cs' = cs addss ss in 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.best_tac cs')]) end; |
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fun Force_tac i = force_tac (Classical.claset(), Simplifier.simpset()) i; |
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fun force i = by (Force_tac i); |
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end; |