src/Provers/classical.ML
author paulson
Thu Dec 07 16:46:14 2006 +0100 (2006-12-07)
changeset 21689 58abd6d8abd1
parent 21687 f689f729afab
child 21963 416a5338d2bb
permissions -rw-r--r--
Removal of theorem tagging, which the ATP linkup no longer requires,
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(*  Title:      Provers/classical.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1992  University of Cambridge
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Theorem prover for classical reasoning, including predicate calculus, set
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theory, etc.
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Rules must be classified as intro, elim, safe, hazardous (unsafe).
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A rule is unsafe unless it can be applied blindly without harmful results.
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For a rule to be safe, its premises and conclusion should be logically
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equivalent.  There should be no variables in the premises that are not in
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the conclusion.
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*)
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(*higher precedence than := facilitates use of references*)
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infix 4 addSIs addSEs addSDs addIs addEs addDs delrules
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  addSWrapper delSWrapper addWrapper delWrapper
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  addSbefore addSafter addbefore addafter
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  addD2 addE2 addSD2 addSE2;
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(*should be a type abbreviation in signature CLASSICAL*)
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type netpair = (int * (bool * thm)) Net.net * (int * (bool * thm)) Net.net;
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type wrapper = (int -> tactic) -> (int -> tactic);
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signature CLASSICAL_DATA =
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sig
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  val mp        : thm           (* [| P-->Q;  P |] ==> Q *)
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  val not_elim  : thm           (* [| ~P;  P |] ==> R *)
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  val classical : thm           (* (~P ==> P) ==> P *)
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  val sizef     : thm -> int    (* size function for BEST_FIRST *)
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  val hyp_subst_tacs: (int -> tactic) list
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end;
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signature BASIC_CLASSICAL =
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sig
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  type claset
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  val empty_cs: claset
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  val print_cs: claset -> unit
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  val print_claset: theory -> unit
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  val rep_cs:
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    claset -> {safeIs: thm list, safeEs: thm list,
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                 hazIs: thm list, hazEs: thm list,
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                 swrappers: (string * wrapper) list,
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                 uwrappers: (string * wrapper) list,
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                 safe0_netpair: netpair, safep_netpair: netpair,
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                 haz_netpair: netpair, dup_netpair: netpair,
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                 xtra_netpair: ContextRules.netpair}
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  val merge_cs          : claset * claset -> claset
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  val addDs             : claset * thm list -> claset
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  val addEs             : claset * thm list -> claset
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  val addIs             : claset * thm list -> claset
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  val addSDs            : claset * thm list -> claset
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  val addSEs            : claset * thm list -> claset
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  val addSIs            : claset * thm list -> claset
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  val delrules          : claset * thm list -> claset
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  val addSWrapper       : claset * (string * wrapper) -> claset
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  val delSWrapper       : claset *  string            -> claset
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  val addWrapper        : claset * (string * wrapper) -> claset
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  val delWrapper        : claset *  string            -> claset
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  val addSbefore        : claset * (string * (int -> tactic)) -> claset
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  val addSafter         : claset * (string * (int -> tactic)) -> claset
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  val addbefore         : claset * (string * (int -> tactic)) -> claset
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  val addafter          : claset * (string * (int -> tactic)) -> claset
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  val addD2             : claset * (string * thm) -> claset
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  val addE2             : claset * (string * thm) -> claset
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  val addSD2            : claset * (string * thm) -> claset
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  val addSE2            : claset * (string * thm) -> claset
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  val appSWrappers      : claset -> wrapper
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  val appWrappers       : claset -> wrapper
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  val change_claset_of: theory -> (claset -> claset) -> unit
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  val change_claset: (claset -> claset) -> unit
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  val claset_of: theory -> claset
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  val claset: unit -> claset
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  val CLASET: (claset -> tactic) -> tactic
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  val CLASET': (claset -> 'a -> tactic) -> 'a -> tactic
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  val local_claset_of   : Proof.context -> claset
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  val fast_tac          : claset -> int -> tactic
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  val slow_tac          : claset -> int -> tactic
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  val weight_ASTAR      : int ref
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  val astar_tac         : claset -> int -> tactic
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  val slow_astar_tac    : claset -> int -> tactic
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  val best_tac          : claset -> int -> tactic
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  val first_best_tac    : claset -> int -> tactic
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  val slow_best_tac     : claset -> int -> tactic
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  val depth_tac         : claset -> int -> int -> tactic
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  val deepen_tac        : claset -> int -> int -> tactic
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  val contr_tac         : int -> tactic
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  val dup_elim          : thm -> thm
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  val dup_intr          : thm -> thm
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  val dup_step_tac      : claset -> int -> tactic
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  val eq_mp_tac         : int -> tactic
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  val haz_step_tac      : claset -> int -> tactic
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  val joinrules         : thm list * thm list -> (bool * thm) list
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  val mp_tac            : int -> tactic
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  val safe_tac          : claset -> tactic
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  val safe_steps_tac    : claset -> int -> tactic
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  val safe_step_tac     : claset -> int -> tactic
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  val clarify_tac       : claset -> int -> tactic
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  val clarify_step_tac  : claset -> int -> tactic
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  val step_tac          : claset -> int -> tactic
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  val slow_step_tac     : claset -> int -> tactic
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  val swapify           : thm list -> thm list
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  val swap_res_tac      : thm list -> int -> tactic
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  val inst_step_tac     : claset -> int -> tactic
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  val inst0_step_tac    : claset -> int -> tactic
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  val instp_step_tac    : claset -> int -> tactic
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  val AddDs             : thm list -> unit
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  val AddEs             : thm list -> unit
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  val AddIs             : thm list -> unit
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  val AddSDs            : thm list -> unit
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  val AddSEs            : thm list -> unit
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  val AddSIs            : thm list -> unit
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  val Delrules          : thm list -> unit
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  val Safe_tac          : tactic
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  val Safe_step_tac     : int -> tactic
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  val Clarify_tac       : int -> tactic
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  val Clarify_step_tac  : int -> tactic
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  val Step_tac          : int -> tactic
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  val Fast_tac          : int -> tactic
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  val Best_tac          : int -> tactic
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  val Slow_tac          : int -> tactic
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  val Slow_best_tac     : int -> tactic
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  val Deepen_tac        : int -> int -> tactic
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end;
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signature CLASSICAL =
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sig
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  include BASIC_CLASSICAL
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  val swap: thm  (* ~P ==> (~Q ==> P) ==> Q *)
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  val classical_rule: thm -> thm
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  val add_context_safe_wrapper: string * (Proof.context -> wrapper) -> theory -> theory
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  val del_context_safe_wrapper: string -> theory -> theory
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  val add_context_unsafe_wrapper: string * (Proof.context -> wrapper) -> theory -> theory
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  val del_context_unsafe_wrapper: string -> theory -> theory
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  val get_claset: theory -> claset
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  val print_local_claset: Proof.context -> unit
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  val get_local_claset: Proof.context -> claset
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  val put_local_claset: claset -> Proof.context -> Proof.context
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  val safe_dest: int option -> attribute
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  val safe_elim: int option -> attribute
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  val safe_intro: int option -> attribute
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  val haz_dest: int option -> attribute
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  val haz_elim: int option -> attribute
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  val haz_intro: int option -> attribute
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  val rule_del: attribute
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  val cla_modifiers: (Args.T list -> (Method.modifier * Args.T list)) list
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  val cla_meth: (claset -> tactic) -> thm list -> Proof.context -> Proof.method
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  val cla_meth': (claset -> int -> tactic) -> thm list -> Proof.context -> Proof.method
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  val cla_method: (claset -> tactic) -> Method.src -> Proof.context -> Proof.method
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  val cla_method': (claset -> int -> tactic) -> Method.src -> Proof.context -> Proof.method
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  val setup: theory -> theory
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end;
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functor ClassicalFun(Data: CLASSICAL_DATA): CLASSICAL =
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struct
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local open Data in
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(** classical elimination rules **)
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(*
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Classical reasoning requires stronger elimination rules.  For
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instance, make_elim of Pure transforms the HOL rule injD into
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    [| inj f; f x = f y; x = y ==> PROP W |] ==> PROP W
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Such rules can cause Fast_tac to fail and Blast_tac to report "PROOF
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FAILED"; classical_rule will strenthen this to
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    [| inj f; ~ W ==> f x = f y; x = y ==> W |] ==> W
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*)
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fun classical_rule rule =
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  if ObjectLogic.is_elim rule then
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    let
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      val rule' = rule RS classical;
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      val concl' = Thm.concl_of rule';
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      fun redundant_hyp goal =
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        concl' aconv Logic.strip_assums_concl goal orelse
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          (case Logic.strip_assums_hyp goal of
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            hyp :: hyps => exists (fn t => t aconv hyp) hyps
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          | _ => false);
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      val rule'' =
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        rule' |> ALLGOALS (SUBGOAL (fn (goal, i) =>
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          if i = 1 orelse redundant_hyp goal
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          then Tactic.etac thin_rl i
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          else all_tac))
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        |> Seq.hd
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        |> Drule.zero_var_indexes
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        |> PureThy.put_name_hint (PureThy.get_name_hint rule);
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    in if Drule.equiv_thm (rule, rule'') then rule else rule'' end
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  else rule;
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(*** Useful tactics for classical reasoning ***)
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val imp_elim = (*cannot use bind_thm within a structure!*)
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  store_thm ("imp_elim", Thm.transfer (the_context ()) (classical_rule (Tactic.make_elim mp)));
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(*Prove goal that assumes both P and ~P.
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  No backtracking if it finds an equal assumption.  Perhaps should call
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  ematch_tac instead of eresolve_tac, but then cannot prove ZF/cantor.*)
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val contr_tac = eresolve_tac [not_elim]  THEN'
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                (eq_assume_tac ORELSE' assume_tac);
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(*Finds P-->Q and P in the assumptions, replaces implication by Q.
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  Could do the same thing for P<->Q and P... *)
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fun mp_tac i = eresolve_tac [not_elim, imp_elim] i  THEN  assume_tac i;
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(*Like mp_tac but instantiates no variables*)
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fun eq_mp_tac i = ematch_tac [not_elim, imp_elim] i  THEN  eq_assume_tac i;
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val swap =
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  store_thm ("swap", Thm.transfer (the_context ())
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    (rule_by_tactic (etac thin_rl 1) (not_elim RS classical)));
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(*Creates rules to eliminate ~A, from rules to introduce A*)
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fun swapify intrs = intrs RLN (2, [swap]);
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fun swapped x = Attrib.no_args (fn (x, th) => (x, th RSN (2, swap))) x;
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(*Uses introduction rules in the normal way, or on negated assumptions,
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  trying rules in order. *)
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fun swap_res_tac rls =
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    let fun addrl (rl,brls) = (false, rl) :: (true, rl RSN (2,swap)) :: brls
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    in  assume_tac      ORELSE'
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        contr_tac       ORELSE'
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        biresolve_tac (foldr addrl [] rls)
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    end;
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(*Duplication of hazardous rules, for complete provers*)
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fun dup_intr th = zero_var_indexes (th RS classical);
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fun dup_elim th =
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    rule_by_tactic (TRYALL (etac revcut_rl))
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      ((th RSN (2, revcut_rl)) |> assumption 2 |> Seq.hd);
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(**** Classical rule sets ****)
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datatype claset =
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  CS of {safeIs         : thm list,                (*safe introduction rules*)
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         safeEs         : thm list,                (*safe elimination rules*)
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         hazIs          : thm list,                (*unsafe introduction rules*)
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         hazEs          : thm list,                (*unsafe elimination rules*)
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         swrappers      : (string * wrapper) list, (*for transforming safe_step_tac*)
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         uwrappers      : (string * wrapper) list, (*for transforming step_tac*)
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         safe0_netpair  : netpair,                 (*nets for trivial cases*)
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         safep_netpair  : netpair,                 (*nets for >0 subgoals*)
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         haz_netpair    : netpair,                 (*nets for unsafe rules*)
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         dup_netpair    : netpair,                 (*nets for duplication*)
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         xtra_netpair   : ContextRules.netpair};   (*nets for extra rules*)
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(*Desired invariants are
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        safe0_netpair = build safe0_brls,
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        safep_netpair = build safep_brls,
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        haz_netpair = build (joinrules(hazIs, hazEs)),
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        dup_netpair = build (joinrules(map dup_intr hazIs,
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                                       map dup_elim hazEs))
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where build = build_netpair(Net.empty,Net.empty),
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      safe0_brls contains all brules that solve the subgoal, and
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      safep_brls contains all brules that generate 1 or more new subgoals.
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The theorem lists are largely comments, though they are used in merge_cs and print_cs.
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Nets must be built incrementally, to save space and time.
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*)
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val empty_netpair = (Net.empty, Net.empty);
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val empty_cs =
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  CS{safeIs     = [],
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     safeEs     = [],
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     hazIs      = [],
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     hazEs      = [],
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     swrappers  = [],
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     uwrappers  = [],
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     safe0_netpair = empty_netpair,
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     safep_netpair = empty_netpair,
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     haz_netpair   = empty_netpair,
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     dup_netpair   = empty_netpair,
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     xtra_netpair  = empty_netpair};
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fun print_cs (CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers, ...}) =
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  let val pretty_thms = map Display.pretty_thm in
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    [Pretty.big_list "safe introduction rules (intro!):" (pretty_thms safeIs),
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      Pretty.big_list "introduction rules (intro):" (pretty_thms hazIs),
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      Pretty.big_list "safe elimination rules (elim!):" (pretty_thms safeEs),
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      Pretty.big_list "elimination rules (elim):" (pretty_thms hazEs),
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      Pretty.strs ("safe wrappers:" :: map #1 swrappers),
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      Pretty.strs ("unsafe wrappers:" :: map #1 uwrappers)]
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    |> Pretty.chunks |> Pretty.writeln
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  end;
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fun rep_cs (CS args) = args;
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local
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  fun wrap l tac = foldr (fn ((name,tacf),w) => tacf w) tac l;
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in
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  fun appSWrappers (CS{swrappers,...}) = wrap swrappers;
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  fun appWrappers  (CS{uwrappers,...}) = wrap uwrappers;
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end;
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(*** Adding (un)safe introduction or elimination rules.
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    In case of overlap, new rules are tried BEFORE old ones!!
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***)
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   316
(*For use with biresolve_tac.  Combines intro rules with swap to handle negated
lcp@1073
   317
  assumptions.  Pairs elim rules with true. *)
wenzelm@12376
   318
fun joinrules (intrs, elims) =
paulson@18557
   319
  (map (pair true) (elims @ swapify intrs)) @ map (pair false) intrs;
wenzelm@12376
   320
wenzelm@12401
   321
fun joinrules' (intrs, elims) =
paulson@18557
   322
  map (pair true) elims @ map (pair false) intrs;
lcp@1073
   323
wenzelm@10736
   324
(*Priority: prefer rules with fewest subgoals,
paulson@1231
   325
  then rules added most recently (preferring the head of the list).*)
lcp@1073
   326
fun tag_brls k [] = []
lcp@1073
   327
  | tag_brls k (brl::brls) =
wenzelm@10736
   328
      (1000000*subgoals_of_brl brl + k, brl) ::
lcp@1073
   329
      tag_brls (k+1) brls;
lcp@1073
   330
wenzelm@12401
   331
fun tag_brls' _ _ [] = []
wenzelm@12401
   332
  | tag_brls' w k (brl::brls) = ((w, k), brl) :: tag_brls' w (k + 1) brls;
wenzelm@10736
   333
skalberg@15574
   334
fun insert_tagged_list kbrls netpr = foldr Tactic.insert_tagged_brl netpr kbrls;
lcp@1073
   335
lcp@1073
   336
(*Insert into netpair that already has nI intr rules and nE elim rules.
lcp@1073
   337
  Count the intr rules double (to account for swapify).  Negate to give the
lcp@1073
   338
  new insertions the lowest priority.*)
wenzelm@12376
   339
fun insert (nI, nE) = insert_tagged_list o (tag_brls (~(2*nI+nE))) o joinrules;
wenzelm@12401
   340
fun insert' w (nI, nE) = insert_tagged_list o tag_brls' w (~(nI + nE)) o joinrules';
lcp@1073
   341
skalberg@15574
   342
fun delete_tagged_list brls netpr = foldr Tactic.delete_tagged_brl netpr brls;
wenzelm@12362
   343
fun delete x = delete_tagged_list (joinrules x);
wenzelm@12401
   344
fun delete' x = delete_tagged_list (joinrules' x);
paulson@1800
   345
wenzelm@18691
   346
val mem_thm = member Drule.eq_thm_prop
wenzelm@18691
   347
and rem_thm = remove Drule.eq_thm_prop;
paulson@2813
   348
paulson@1927
   349
(*Warn if the rule is already present ELSEWHERE in the claset.  The addition
paulson@1927
   350
  is still allowed.*)
wenzelm@12376
   351
fun warn_dup th (CS{safeIs, safeEs, hazIs, hazEs, ...}) =
wenzelm@18691
   352
       if mem_thm safeIs th then
wenzelm@9938
   353
         warning ("Rule already declared as safe introduction (intro!)\n" ^ string_of_thm th)
wenzelm@18691
   354
  else if mem_thm safeEs th then
wenzelm@9408
   355
         warning ("Rule already declared as safe elimination (elim!)\n" ^ string_of_thm th)
wenzelm@18691
   356
  else if mem_thm hazIs th then
wenzelm@9760
   357
         warning ("Rule already declared as introduction (intro)\n" ^ string_of_thm th)
wenzelm@18691
   358
  else if mem_thm hazEs th then
wenzelm@9760
   359
         warning ("Rule already declared as elimination (elim)\n" ^ string_of_thm th)
paulson@1927
   360
  else ();
paulson@1927
   361
wenzelm@12376
   362
paulson@1800
   363
(*** Safe rules ***)
lcp@982
   364
wenzelm@18691
   365
fun addSI w th
wenzelm@18534
   366
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   367
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   368
  if mem_thm safeIs th then
wenzelm@9938
   369
         (warning ("Ignoring duplicate safe introduction (intro!)\n" ^ string_of_thm th);
wenzelm@9938
   370
          cs)
paulson@1927
   371
  else
lcp@1073
   372
  let val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
skalberg@15570
   373
          List.partition Thm.no_prems [th]
paulson@1927
   374
      val nI = length safeIs + 1
lcp@1073
   375
      and nE = length safeEs
paulson@1927
   376
  in warn_dup th cs;
wenzelm@9938
   377
     CS{safeIs  = th::safeIs,
lcp@1073
   378
        safe0_netpair = insert (nI,nE) (safe0_rls, []) safe0_netpair,
wenzelm@9938
   379
        safep_netpair = insert (nI,nE) (safep_rls, []) safep_netpair,
wenzelm@9938
   380
        safeEs  = safeEs,
wenzelm@9938
   381
        hazIs   = hazIs,
wenzelm@9938
   382
        hazEs   = hazEs,
wenzelm@9938
   383
        swrappers    = swrappers,
wenzelm@9938
   384
        uwrappers    = uwrappers,
wenzelm@9938
   385
        haz_netpair  = haz_netpair,
wenzelm@9938
   386
        dup_netpair  = dup_netpair,
wenzelm@18691
   387
        xtra_netpair = insert' (the_default 0 w) (nI,nE) ([th], []) xtra_netpair}
lcp@1073
   388
  end;
lcp@1073
   389
wenzelm@18691
   390
fun addSE w th
wenzelm@18534
   391
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   392
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   393
  if mem_thm safeEs th then
wenzelm@9938
   394
         (warning ("Ignoring duplicate safe elimination (elim!)\n" ^ string_of_thm th);
wenzelm@9938
   395
          cs)
paulson@18557
   396
  else if has_fewer_prems 1 th then
paulson@18557
   397
    	error("Ill-formed elimination rule\n" ^ string_of_thm th)
paulson@1927
   398
  else
wenzelm@18534
   399
  let
wenzelm@18534
   400
      val th' = classical_rule th
wenzelm@18534
   401
      val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
wenzelm@18534
   402
          List.partition (fn rl => nprems_of rl=1) [th']
lcp@1073
   403
      val nI = length safeIs
paulson@1927
   404
      and nE = length safeEs + 1
paulson@1927
   405
  in warn_dup th cs;
wenzelm@9938
   406
     CS{safeEs  = th::safeEs,
lcp@1073
   407
        safe0_netpair = insert (nI,nE) ([], safe0_rls) safe0_netpair,
wenzelm@9938
   408
        safep_netpair = insert (nI,nE) ([], safep_rls) safep_netpair,
wenzelm@9938
   409
        safeIs  = safeIs,
wenzelm@9938
   410
        hazIs   = hazIs,
wenzelm@9938
   411
        hazEs   = hazEs,
wenzelm@9938
   412
        swrappers    = swrappers,
wenzelm@9938
   413
        uwrappers    = uwrappers,
wenzelm@9938
   414
        haz_netpair  = haz_netpair,
wenzelm@9938
   415
        dup_netpair  = dup_netpair,
wenzelm@18691
   416
        xtra_netpair = insert' (the_default 0 w) (nI,nE) ([], [th]) xtra_netpair}
lcp@1073
   417
  end;
clasohm@0
   418
wenzelm@18691
   419
fun cs addSIs ths = fold_rev (addSI NONE) ths cs;
wenzelm@18691
   420
fun cs addSEs ths = fold_rev (addSE NONE) ths cs;
paulson@1927
   421
paulson@21689
   422
fun make_elim th =
paulson@18557
   423
    if has_fewer_prems 1 th then
paulson@18557
   424
    	error("Ill-formed destruction rule\n" ^ string_of_thm th)
paulson@21689
   425
    else Tactic.make_elim th;
paulson@17084
   426
paulson@21689
   427
fun cs addSDs ths = cs addSEs (map make_elim ths);
clasohm@0
   428
lcp@1073
   429
paulson@1800
   430
(*** Hazardous (unsafe) rules ***)
clasohm@0
   431
wenzelm@18691
   432
fun addI w th
wenzelm@18534
   433
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   434
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   435
  if mem_thm hazIs th then
wenzelm@9938
   436
         (warning ("Ignoring duplicate introduction (intro)\n" ^ string_of_thm th);
wenzelm@9938
   437
          cs)
paulson@1927
   438
  else
paulson@1927
   439
  let val nI = length hazIs + 1
lcp@1073
   440
      and nE = length hazEs
paulson@1927
   441
  in warn_dup th cs;
wenzelm@9938
   442
     CS{hazIs   = th::hazIs,
wenzelm@9938
   443
        haz_netpair = insert (nI,nE) ([th], []) haz_netpair,
wenzelm@9938
   444
        dup_netpair = insert (nI,nE) (map dup_intr [th], []) dup_netpair,
wenzelm@10736
   445
        safeIs  = safeIs,
wenzelm@9938
   446
        safeEs  = safeEs,
wenzelm@9938
   447
        hazEs   = hazEs,
wenzelm@9938
   448
        swrappers     = swrappers,
wenzelm@9938
   449
        uwrappers     = uwrappers,
wenzelm@9938
   450
        safe0_netpair = safe0_netpair,
wenzelm@9938
   451
        safep_netpair = safep_netpair,
wenzelm@18691
   452
        xtra_netpair = insert' (the_default 1 w) (nI,nE) ([th], []) xtra_netpair}
paulson@18557
   453
  end
paulson@18557
   454
  handle THM("RSN: no unifiers",_,_) => (*from dup_intr*)
paulson@18557
   455
         error ("Ill-formed introduction rule\n" ^ string_of_thm th);
lcp@1073
   456
wenzelm@18691
   457
fun addE w th
wenzelm@18534
   458
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   459
            safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   460
  if mem_thm hazEs th then
wenzelm@9938
   461
         (warning ("Ignoring duplicate elimination (elim)\n" ^ string_of_thm th);
wenzelm@9938
   462
          cs)
paulson@18557
   463
  else if has_fewer_prems 1 th then
paulson@18557
   464
    	error("Ill-formed elimination rule\n" ^ string_of_thm th)
paulson@1927
   465
  else
wenzelm@18534
   466
  let
wenzelm@18534
   467
      val th' = classical_rule th
wenzelm@18534
   468
      val nI = length hazIs
paulson@1927
   469
      and nE = length hazEs + 1
paulson@1927
   470
  in warn_dup th cs;
wenzelm@9938
   471
     CS{hazEs   = th::hazEs,
wenzelm@18534
   472
        haz_netpair = insert (nI,nE) ([], [th']) haz_netpair,
wenzelm@18534
   473
        dup_netpair = insert (nI,nE) ([], map dup_elim [th']) dup_netpair,
wenzelm@10736
   474
        safeIs  = safeIs,
wenzelm@9938
   475
        safeEs  = safeEs,
wenzelm@9938
   476
        hazIs   = hazIs,
wenzelm@9938
   477
        swrappers     = swrappers,
wenzelm@9938
   478
        uwrappers     = uwrappers,
wenzelm@9938
   479
        safe0_netpair = safe0_netpair,
wenzelm@9938
   480
        safep_netpair = safep_netpair,
wenzelm@18691
   481
        xtra_netpair = insert' (the_default 1 w) (nI,nE) ([], [th]) xtra_netpair}
lcp@1073
   482
  end;
clasohm@0
   483
wenzelm@18691
   484
fun cs addIs ths = fold_rev (addI NONE) ths cs;
wenzelm@18691
   485
fun cs addEs ths = fold_rev (addE NONE) ths cs;
paulson@1927
   486
paulson@21689
   487
fun cs addDs ths = cs addEs (map make_elim ths);
clasohm@0
   488
lcp@1073
   489
wenzelm@10736
   490
(*** Deletion of rules
paulson@1800
   491
     Working out what to delete, requires repeating much of the code used
wenzelm@9938
   492
        to insert.
paulson@1800
   493
***)
paulson@1800
   494
wenzelm@10736
   495
fun delSI th
wenzelm@12376
   496
          (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   497
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   498
 if mem_thm safeIs th then
skalberg@15570
   499
   let val (safe0_rls, safep_rls) = List.partition Thm.no_prems [th]
paulson@2813
   500
   in CS{safe0_netpair = delete (safe0_rls, []) safe0_netpair,
wenzelm@9938
   501
         safep_netpair = delete (safep_rls, []) safep_netpair,
wenzelm@18691
   502
         safeIs = rem_thm th safeIs,
wenzelm@9938
   503
         safeEs = safeEs,
wenzelm@9938
   504
         hazIs  = hazIs,
wenzelm@9938
   505
         hazEs  = hazEs,
wenzelm@9938
   506
         swrappers    = swrappers,
wenzelm@9938
   507
         uwrappers    = uwrappers,
wenzelm@9938
   508
         haz_netpair  = haz_netpair,
wenzelm@9938
   509
         dup_netpair  = dup_netpair,
wenzelm@12401
   510
         xtra_netpair = delete' ([th], []) xtra_netpair}
paulson@2813
   511
   end
paulson@2813
   512
 else cs;
paulson@1800
   513
paulson@2813
   514
fun delSE th
wenzelm@12376
   515
          (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   516
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   517
  if mem_thm safeEs th then
wenzelm@18534
   518
    let
wenzelm@18534
   519
      val th' = classical_rule th
wenzelm@18534
   520
      val (safe0_rls, safep_rls) = List.partition (fn rl => nprems_of rl=1) [th']
wenzelm@18534
   521
    in CS{safe0_netpair = delete ([], safe0_rls) safe0_netpair,
wenzelm@9938
   522
         safep_netpair = delete ([], safep_rls) safep_netpair,
wenzelm@9938
   523
         safeIs = safeIs,
wenzelm@18691
   524
         safeEs = rem_thm th safeEs,
wenzelm@9938
   525
         hazIs  = hazIs,
wenzelm@9938
   526
         hazEs  = hazEs,
wenzelm@9938
   527
         swrappers    = swrappers,
wenzelm@9938
   528
         uwrappers    = uwrappers,
wenzelm@9938
   529
         haz_netpair  = haz_netpair,
wenzelm@9938
   530
         dup_netpair  = dup_netpair,
wenzelm@12401
   531
         xtra_netpair = delete' ([], [th]) xtra_netpair}
wenzelm@18534
   532
    end
wenzelm@18534
   533
  else cs;
paulson@1800
   534
paulson@1800
   535
paulson@2813
   536
fun delI th
wenzelm@12376
   537
         (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   538
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   539
 if mem_thm hazIs th then
paulson@2813
   540
     CS{haz_netpair = delete ([th], []) haz_netpair,
wenzelm@9938
   541
        dup_netpair = delete ([dup_intr th], []) dup_netpair,
wenzelm@10736
   542
        safeIs  = safeIs,
wenzelm@9938
   543
        safeEs  = safeEs,
wenzelm@18691
   544
        hazIs   = rem_thm th hazIs,
wenzelm@9938
   545
        hazEs   = hazEs,
wenzelm@9938
   546
        swrappers     = swrappers,
wenzelm@9938
   547
        uwrappers     = uwrappers,
wenzelm@9938
   548
        safe0_netpair = safe0_netpair,
wenzelm@9938
   549
        safep_netpair = safep_netpair,
wenzelm@12401
   550
        xtra_netpair = delete' ([th], []) xtra_netpair}
paulson@18557
   551
 else cs
paulson@18557
   552
 handle THM("RSN: no unifiers",_,_) => (*from dup_intr*)
paulson@18557
   553
        error ("Ill-formed introduction rule\n" ^ string_of_thm th);
paulson@18557
   554
paulson@1800
   555
paulson@2813
   556
fun delE th
wenzelm@12376
   557
         (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   558
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18534
   559
  let val th' = classical_rule th in
wenzelm@18691
   560
    if mem_thm hazEs th then
wenzelm@18534
   561
     CS{haz_netpair = delete ([], [th']) haz_netpair,
wenzelm@18534
   562
        dup_netpair = delete ([], [dup_elim th']) dup_netpair,
wenzelm@10736
   563
        safeIs  = safeIs,
wenzelm@9938
   564
        safeEs  = safeEs,
wenzelm@9938
   565
        hazIs   = hazIs,
wenzelm@18691
   566
        hazEs   = rem_thm th hazEs,
wenzelm@9938
   567
        swrappers     = swrappers,
wenzelm@9938
   568
        uwrappers     = uwrappers,
wenzelm@9938
   569
        safe0_netpair = safe0_netpair,
wenzelm@9938
   570
        safep_netpair = safep_netpair,
wenzelm@12401
   571
        xtra_netpair = delete' ([], [th]) xtra_netpair}
wenzelm@18534
   572
     else cs
wenzelm@18534
   573
   end;
wenzelm@6955
   574
paulson@1800
   575
paulson@2813
   576
(*Delete ALL occurrences of "th" in the claset (perhaps from several lists)*)
wenzelm@18534
   577
fun delrule th (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}) =
wenzelm@18534
   578
  let val th' = Tactic.make_elim th in
wenzelm@18691
   579
    if mem_thm safeIs th orelse mem_thm safeEs th orelse
wenzelm@18691
   580
      mem_thm hazIs th orelse mem_thm hazEs th orelse
wenzelm@18691
   581
      mem_thm safeEs th' orelse mem_thm hazEs th'
wenzelm@12376
   582
    then delSI th (delSE th (delI th (delE th (delSE th' (delE th' cs)))))
wenzelm@18534
   583
    else (warning ("Undeclared classical rule\n" ^ string_of_thm th); cs)
wenzelm@9938
   584
  end;
paulson@1800
   585
wenzelm@18534
   586
fun cs delrules ths = fold delrule ths cs;
paulson@1800
   587
paulson@1800
   588
oheimb@4767
   589
(*** Modifying the wrapper tacticals ***)
wenzelm@10736
   590
fun update_swrappers
wenzelm@12376
   591
(CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@6955
   592
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   593
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
oheimb@4767
   594
    swrappers = f swrappers, uwrappers = uwrappers,
oheimb@4767
   595
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   596
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   597
wenzelm@10736
   598
fun update_uwrappers
wenzelm@12376
   599
(CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@6955
   600
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   601
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
oheimb@4767
   602
    swrappers = swrappers, uwrappers = f uwrappers,
oheimb@4767
   603
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   604
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   605
lcp@982
   606
oheimb@4651
   607
(*Add/replace a safe wrapper*)
oheimb@4767
   608
fun cs addSWrapper new_swrapper = update_swrappers cs (fn swrappers =>
nipkow@9721
   609
    overwrite_warn (swrappers, new_swrapper)
nipkow@9721
   610
       ("Overwriting safe wrapper " ^ fst new_swrapper));
oheimb@4651
   611
oheimb@4651
   612
(*Add/replace an unsafe wrapper*)
oheimb@4767
   613
fun cs addWrapper new_uwrapper = update_uwrappers cs (fn uwrappers =>
nipkow@9721
   614
    overwrite_warn (uwrappers, new_uwrapper)
wenzelm@9938
   615
        ("Overwriting unsafe wrapper "^fst new_uwrapper));
lcp@982
   616
oheimb@4651
   617
(*Remove a safe wrapper*)
oheimb@4767
   618
fun cs delSWrapper name = update_swrappers cs (fn swrappers =>
wenzelm@17795
   619
  let val swrappers' = filter_out (equal name o fst) swrappers in
wenzelm@15036
   620
    if length swrappers <> length swrappers' then swrappers'
wenzelm@15036
   621
    else (warning ("No such safe wrapper in claset: "^ name); swrappers)
wenzelm@15036
   622
  end);
lcp@982
   623
oheimb@4651
   624
(*Remove an unsafe wrapper*)
oheimb@4767
   625
fun cs delWrapper name = update_uwrappers cs (fn uwrappers =>
wenzelm@17795
   626
  let val uwrappers' = filter_out (equal name o fst) uwrappers in
wenzelm@15036
   627
    if length uwrappers <> length uwrappers' then uwrappers'
wenzelm@15036
   628
    else (warning ("No such unsafe wrapper in claset: " ^ name); uwrappers)
wenzelm@15036
   629
  end);
lcp@982
   630
oheimb@11168
   631
(* compose a safe tactic alternatively before/after safe_step_tac *)
wenzelm@10736
   632
fun cs addSbefore  (name,    tac1) =
oheimb@5523
   633
    cs addSWrapper (name, fn tac2 => tac1 ORELSE' tac2);
oheimb@11181
   634
fun cs addSafter   (name,    tac2) =
oheimb@5523
   635
    cs addSWrapper (name, fn tac1 => tac1 ORELSE' tac2);
lcp@982
   636
oheimb@11168
   637
(*compose a tactic alternatively before/after the step tactic *)
wenzelm@10736
   638
fun cs addbefore   (name,    tac1) =
oheimb@5523
   639
    cs addWrapper  (name, fn tac2 => tac1 APPEND' tac2);
oheimb@11181
   640
fun cs addafter    (name,    tac2) =
oheimb@5523
   641
    cs addWrapper  (name, fn tac1 => tac1 APPEND' tac2);
oheimb@4767
   642
wenzelm@10736
   643
fun cs addD2     (name, thm) =
oheimb@11181
   644
    cs addafter  (name, datac thm 1);
wenzelm@10736
   645
fun cs addE2     (name, thm) =
oheimb@11181
   646
    cs addafter  (name, eatac thm 1);
oheimb@11181
   647
fun cs addSD2    (name, thm) =
oheimb@11181
   648
    cs addSafter (name, dmatch_tac [thm] THEN' eq_assume_tac);
oheimb@11181
   649
fun cs addSE2    (name, thm) =
oheimb@11181
   650
    cs addSafter (name, ematch_tac [thm] THEN' eq_assume_tac);
lcp@982
   651
paulson@1711
   652
(*Merge works by adding all new rules of the 2nd claset into the 1st claset.
paulson@1711
   653
  Merging the term nets may look more efficient, but the rather delicate
paulson@1711
   654
  treatment of priority might get muddled up.*)
wenzelm@12376
   655
fun merge_cs (cs as CS{safeIs, safeEs, hazIs, hazEs, ...},
wenzelm@12376
   656
     CS{safeIs=safeIs2, safeEs=safeEs2, hazIs=hazIs2, hazEs=hazEs2, swrappers, uwrappers, ...}) =
wenzelm@18989
   657
  let val safeIs' = fold rem_thm safeIs safeIs2
wenzelm@18989
   658
      val safeEs' = fold rem_thm safeEs safeEs2
wenzelm@18989
   659
      val hazIs' = fold rem_thm hazIs hazIs2
wenzelm@18989
   660
      val hazEs' = fold rem_thm hazEs hazEs2
oheimb@4767
   661
      val cs1   = cs addSIs safeIs'
wenzelm@9938
   662
                     addSEs safeEs'
wenzelm@9938
   663
                     addIs  hazIs'
wenzelm@9938
   664
                     addEs  hazEs'
oheimb@4767
   665
      val cs2 = update_swrappers cs1 (fn ws => merge_alists ws swrappers);
oheimb@4767
   666
      val cs3 = update_uwrappers cs2 (fn ws => merge_alists ws uwrappers);
wenzelm@10736
   667
  in cs3
paulson@1711
   668
  end;
paulson@1711
   669
lcp@982
   670
paulson@1800
   671
(**** Simple tactics for theorem proving ****)
clasohm@0
   672
clasohm@0
   673
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   674
fun safe_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   675
  appSWrappers cs (FIRST' [
wenzelm@9938
   676
        eq_assume_tac,
wenzelm@9938
   677
        eq_mp_tac,
wenzelm@9938
   678
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   679
        FIRST' hyp_subst_tacs,
wenzelm@9938
   680
        bimatch_from_nets_tac safep_netpair]);
clasohm@0
   681
oheimb@5757
   682
(*Repeatedly attack a subgoal using safe inferences -- it's deterministic!*)
wenzelm@10736
   683
fun safe_steps_tac cs = REPEAT_DETERM1 o
wenzelm@9938
   684
        (fn i => COND (has_fewer_prems i) no_tac (safe_step_tac cs i));
oheimb@5757
   685
clasohm@0
   686
(*Repeatedly attack subgoals using safe inferences -- it's deterministic!*)
oheimb@5757
   687
fun safe_tac cs = REPEAT_DETERM1 (FIRSTGOAL (safe_steps_tac cs));
lcp@747
   688
paulson@3705
   689
paulson@3705
   690
(*** Clarify_tac: do safe steps without causing branching ***)
paulson@3705
   691
paulson@3705
   692
fun nsubgoalsP n (k,brl) = (subgoals_of_brl brl = n);
paulson@3705
   693
paulson@3705
   694
(*version of bimatch_from_nets_tac that only applies rules that
paulson@3705
   695
  create precisely n subgoals.*)
wenzelm@10736
   696
fun n_bimatch_from_nets_tac n =
skalberg@15570
   697
    biresolution_from_nets_tac (Tactic.orderlist o List.filter (nsubgoalsP n)) true;
paulson@3705
   698
paulson@3705
   699
fun eq_contr_tac i = ematch_tac [not_elim] i  THEN  eq_assume_tac i;
paulson@3705
   700
val eq_assume_contr_tac = eq_assume_tac ORELSE' eq_contr_tac;
paulson@3705
   701
paulson@3705
   702
(*Two-way branching is allowed only if one of the branches immediately closes*)
paulson@3705
   703
fun bimatch2_tac netpair i =
paulson@3705
   704
    n_bimatch_from_nets_tac 2 netpair i THEN
paulson@3705
   705
    (eq_assume_contr_tac i ORELSE eq_assume_contr_tac (i+1));
paulson@3705
   706
paulson@3705
   707
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   708
fun clarify_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   709
  appSWrappers cs (FIRST' [
wenzelm@9938
   710
        eq_assume_contr_tac,
wenzelm@9938
   711
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   712
        FIRST' hyp_subst_tacs,
wenzelm@9938
   713
        n_bimatch_from_nets_tac 1 safep_netpair,
paulson@3705
   714
        bimatch2_tac safep_netpair]);
paulson@3705
   715
paulson@3705
   716
fun clarify_tac cs = SELECT_GOAL (REPEAT_DETERM (clarify_step_tac cs 1));
paulson@3705
   717
paulson@3705
   718
paulson@3705
   719
(*** Unsafe steps instantiate variables or lose information ***)
paulson@3705
   720
paulson@4066
   721
(*Backtracking is allowed among the various these unsafe ways of
paulson@4066
   722
  proving a subgoal.  *)
lcp@747
   723
fun inst0_step_tac (CS{safe0_netpair,safep_netpair,...}) =
wenzelm@10736
   724
  assume_tac                      APPEND'
wenzelm@10736
   725
  contr_tac                       APPEND'
lcp@747
   726
  biresolve_from_nets_tac safe0_netpair;
lcp@747
   727
paulson@4066
   728
(*These unsafe steps could generate more subgoals.*)
lcp@747
   729
fun instp_step_tac (CS{safep_netpair,...}) =
lcp@747
   730
  biresolve_from_nets_tac safep_netpair;
clasohm@0
   731
clasohm@0
   732
(*These steps could instantiate variables and are therefore unsafe.*)
lcp@747
   733
fun inst_step_tac cs = inst0_step_tac cs APPEND' instp_step_tac cs;
clasohm@0
   734
wenzelm@10736
   735
fun haz_step_tac (CS{haz_netpair,...}) =
lcp@681
   736
  biresolve_from_nets_tac haz_netpair;
lcp@681
   737
clasohm@0
   738
(*Single step for the prover.  FAILS unless it makes progress. *)
wenzelm@10736
   739
fun step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   740
        (inst_step_tac cs ORELSE' haz_step_tac cs) i;
clasohm@0
   741
clasohm@0
   742
(*Using a "safe" rule to instantiate variables is unsafe.  This tactic
clasohm@0
   743
  allows backtracking from "safe" rules to "unsafe" rules here.*)
wenzelm@10736
   744
fun slow_step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   745
        (inst_step_tac cs APPEND' haz_step_tac cs) i;
clasohm@0
   746
paulson@1800
   747
(**** The following tactics all fail unless they solve one goal ****)
clasohm@0
   748
clasohm@0
   749
(*Dumb but fast*)
wenzelm@10382
   750
fun fast_tac cs =
wenzelm@11754
   751
  ObjectLogic.atomize_tac THEN' SELECT_GOAL (DEPTH_SOLVE (step_tac cs 1));
clasohm@0
   752
clasohm@0
   753
(*Slower but smarter than fast_tac*)
wenzelm@10382
   754
fun best_tac cs =
wenzelm@11754
   755
  ObjectLogic.atomize_tac THEN'
clasohm@0
   756
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (step_tac cs 1));
clasohm@0
   757
oheimb@9402
   758
(*even a bit smarter than best_tac*)
wenzelm@10382
   759
fun first_best_tac cs =
wenzelm@11754
   760
  ObjectLogic.atomize_tac THEN'
oheimb@9402
   761
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (FIRSTGOAL (step_tac cs)));
oheimb@9402
   762
wenzelm@10382
   763
fun slow_tac cs =
wenzelm@11754
   764
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   765
  SELECT_GOAL (DEPTH_SOLVE (slow_step_tac cs 1));
clasohm@0
   766
wenzelm@10382
   767
fun slow_best_tac cs =
wenzelm@11754
   768
  ObjectLogic.atomize_tac THEN'
clasohm@0
   769
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (slow_step_tac cs 1));
clasohm@0
   770
lcp@681
   771
wenzelm@10736
   772
(***ASTAR with weight weight_ASTAR, by Norbert Voelker*)
wenzelm@10736
   773
val weight_ASTAR = ref 5;
paulson@1587
   774
wenzelm@10382
   775
fun astar_tac cs =
wenzelm@11754
   776
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   777
  SELECT_GOAL
wenzelm@10382
   778
    (ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + !weight_ASTAR * lev)
wenzelm@10382
   779
      (step_tac cs 1));
paulson@1587
   780
wenzelm@10736
   781
fun slow_astar_tac cs =
wenzelm@11754
   782
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   783
  SELECT_GOAL
wenzelm@10382
   784
    (ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + !weight_ASTAR * lev)
wenzelm@10382
   785
      (slow_step_tac cs 1));
paulson@1587
   786
paulson@1800
   787
(**** Complete tactic, loosely based upon LeanTaP.  This tactic is the outcome
lcp@747
   788
  of much experimentation!  Changing APPEND to ORELSE below would prove
lcp@747
   789
  easy theorems faster, but loses completeness -- and many of the harder
paulson@1800
   790
  theorems such as 43. ****)
lcp@681
   791
lcp@747
   792
(*Non-deterministic!  Could always expand the first unsafe connective.
lcp@747
   793
  That's hard to implement and did not perform better in experiments, due to
lcp@747
   794
  greater search depth required.*)
wenzelm@10736
   795
fun dup_step_tac (cs as (CS{dup_netpair,...})) =
lcp@681
   796
  biresolve_from_nets_tac dup_netpair;
lcp@681
   797
oheimb@5523
   798
(*Searching to depth m. A variant called nodup_depth_tac appears in clasimp.ML*)
oheimb@5757
   799
local
wenzelm@10736
   800
fun slow_step_tac' cs = appWrappers cs
wenzelm@9938
   801
        (instp_step_tac cs APPEND' dup_step_tac cs);
wenzelm@10736
   802
in fun depth_tac cs m i state = SELECT_GOAL
wenzelm@10736
   803
   (safe_steps_tac cs 1 THEN_ELSE
wenzelm@9938
   804
        (DEPTH_SOLVE (depth_tac cs m 1),
wenzelm@9938
   805
         inst0_step_tac cs 1 APPEND COND (K (m=0)) no_tac
wenzelm@9938
   806
                (slow_step_tac' cs 1 THEN DEPTH_SOLVE (depth_tac cs (m-1) 1))
oheimb@5757
   807
        )) i state;
oheimb@5757
   808
end;
lcp@747
   809
wenzelm@10736
   810
(*Search, with depth bound m.
paulson@2173
   811
  This is the "entry point", which does safe inferences first.*)
wenzelm@10736
   812
fun safe_depth_tac cs m =
wenzelm@10736
   813
  SUBGOAL
lcp@681
   814
    (fn (prem,i) =>
lcp@681
   815
      let val deti =
wenzelm@9938
   816
          (*No Vars in the goal?  No need to backtrack between goals.*)
wenzelm@9938
   817
          case term_vars prem of
wenzelm@10736
   818
              []        => DETERM
wenzelm@9938
   819
            | _::_      => I
wenzelm@10736
   820
      in  SELECT_GOAL (TRY (safe_tac cs) THEN
wenzelm@9938
   821
                       DEPTH_SOLVE (deti (depth_tac cs m 1))) i
lcp@747
   822
      end);
lcp@681
   823
paulson@2868
   824
fun deepen_tac cs = DEEPEN (2,10) (safe_depth_tac cs);
lcp@681
   825
wenzelm@4079
   826
berghofe@1724
   827
wenzelm@15036
   828
(** context dependent claset components **)
wenzelm@15036
   829
wenzelm@15036
   830
datatype context_cs = ContextCS of
wenzelm@15036
   831
 {swrappers: (string * (Proof.context -> wrapper)) list,
wenzelm@15036
   832
  uwrappers: (string * (Proof.context -> wrapper)) list};
wenzelm@15036
   833
wenzelm@15036
   834
fun context_cs ctxt cs (ContextCS {swrappers, uwrappers}) =
wenzelm@15036
   835
  let
wenzelm@15036
   836
    fun add_wrapper add (name, f) claset = add (claset, (name, f ctxt));
wenzelm@15036
   837
  in
wenzelm@15036
   838
    cs |> fold_rev (add_wrapper (op addSWrapper)) swrappers
wenzelm@15036
   839
    |> fold_rev (add_wrapper (op addWrapper)) uwrappers
wenzelm@15036
   840
  end;
wenzelm@15036
   841
wenzelm@15036
   842
fun make_context_cs (swrappers, uwrappers) =
wenzelm@15036
   843
  ContextCS {swrappers = swrappers, uwrappers = uwrappers};
wenzelm@15036
   844
wenzelm@15036
   845
val empty_context_cs = make_context_cs ([], []);
wenzelm@15036
   846
wenzelm@15036
   847
fun merge_context_cs (ctxt_cs1, ctxt_cs2) =
wenzelm@15036
   848
  let
wenzelm@15036
   849
    val ContextCS {swrappers = swrappers1, uwrappers = uwrappers1} = ctxt_cs1;
wenzelm@15036
   850
    val ContextCS {swrappers = swrappers2, uwrappers = uwrappers2} = ctxt_cs2;
wenzelm@15036
   851
wenzelm@15036
   852
    val swrappers' = merge_alists swrappers1 swrappers2;
wenzelm@15036
   853
    val uwrappers' = merge_alists uwrappers1 uwrappers2;
wenzelm@15036
   854
  in make_context_cs (swrappers', uwrappers') end;
wenzelm@15036
   855
wenzelm@15036
   856
wenzelm@15036
   857
wenzelm@17880
   858
(** claset data **)
wenzelm@4079
   859
wenzelm@18691
   860
(* global claset *)
berghofe@1724
   861
wenzelm@16424
   862
structure GlobalClaset = TheoryDataFun
wenzelm@16424
   863
(struct
wenzelm@7354
   864
  val name = "Provers/claset";
wenzelm@15036
   865
  type T = claset ref * context_cs;
wenzelm@4079
   866
wenzelm@15036
   867
  val empty = (ref empty_cs, empty_context_cs);
wenzelm@16424
   868
  fun copy (ref cs, ctxt_cs) = (ref cs, ctxt_cs): T;
wenzelm@16424
   869
  val extend = copy;
wenzelm@16424
   870
  fun merge _ ((ref cs1, ctxt_cs1), (ref cs2, ctxt_cs2)) =
wenzelm@15036
   871
    (ref (merge_cs (cs1, cs2)), merge_context_cs (ctxt_cs1, ctxt_cs2));
wenzelm@15036
   872
  fun print _ (ref cs, _) = print_cs cs;
wenzelm@16424
   873
end);
berghofe@1724
   874
wenzelm@7354
   875
val print_claset = GlobalClaset.print;
wenzelm@17880
   876
val get_claset = ! o #1 o GlobalClaset.get;
wenzelm@17880
   877
wenzelm@15036
   878
val get_context_cs = #2 o GlobalClaset.get o ProofContext.theory_of;
wenzelm@15036
   879
fun map_context_cs f = GlobalClaset.map (apsnd
wenzelm@15036
   880
  (fn ContextCS {swrappers, uwrappers} => make_context_cs (f (swrappers, uwrappers))));
wenzelm@4079
   881
wenzelm@17880
   882
val change_claset_of = change o #1 o GlobalClaset.get;
wenzelm@17880
   883
fun change_claset f = change_claset_of (Context.the_context ()) f;
paulson@1800
   884
wenzelm@18534
   885
fun claset_of thy =
wenzelm@17880
   886
  let val (cs_ref, ctxt_cs) = GlobalClaset.get thy
wenzelm@21516
   887
  in context_cs (ProofContext.init thy) (! cs_ref) (ctxt_cs) end;
wenzelm@5028
   888
val claset = claset_of o Context.the_context;
wenzelm@4079
   889
wenzelm@17880
   890
fun CLASET tacf st = tacf (claset_of (Thm.theory_of_thm st)) st;
wenzelm@17880
   891
fun CLASET' tacf i st = tacf (claset_of (Thm.theory_of_thm st)) i st;
berghofe@1724
   892
wenzelm@17880
   893
fun AddDs args = change_claset (fn cs => cs addDs args);
wenzelm@17880
   894
fun AddEs args = change_claset (fn cs => cs addEs args);
wenzelm@17880
   895
fun AddIs args = change_claset (fn cs => cs addIs args);
wenzelm@17880
   896
fun AddSDs args = change_claset (fn cs => cs addSDs args);
wenzelm@17880
   897
fun AddSEs args = change_claset (fn cs => cs addSEs args);
wenzelm@17880
   898
fun AddSIs args = change_claset (fn cs => cs addSIs args);
wenzelm@17880
   899
fun Delrules args = change_claset (fn cs => cs delrules args);
paulson@3727
   900
wenzelm@4079
   901
wenzelm@15036
   902
(* context dependent components *)
wenzelm@15036
   903
wenzelm@15036
   904
fun add_context_safe_wrapper wrapper = map_context_cs (apfst (merge_alists [wrapper]));
wenzelm@15036
   905
fun del_context_safe_wrapper name = map_context_cs (apfst (filter_out (equal name o #1)));
wenzelm@15036
   906
wenzelm@15036
   907
fun add_context_unsafe_wrapper wrapper = map_context_cs (apsnd (merge_alists [wrapper]));
wenzelm@15036
   908
fun del_context_unsafe_wrapper name = map_context_cs (apsnd (filter_out (equal name o #1)));
wenzelm@15036
   909
wenzelm@15036
   910
wenzelm@18691
   911
(* local claset *)
wenzelm@5841
   912
wenzelm@16424
   913
structure LocalClaset = ProofDataFun
wenzelm@16424
   914
(struct
wenzelm@5841
   915
  val name = "Provers/claset";
wenzelm@5841
   916
  type T = claset;
wenzelm@17880
   917
  val init = get_claset;
wenzelm@15036
   918
  fun print ctxt cs = print_cs (context_cs ctxt cs (get_context_cs ctxt));
wenzelm@16424
   919
end);
wenzelm@5841
   920
wenzelm@5841
   921
val print_local_claset = LocalClaset.print;
wenzelm@5841
   922
val get_local_claset = LocalClaset.get;
wenzelm@5841
   923
val put_local_claset = LocalClaset.put;
wenzelm@5841
   924
wenzelm@15036
   925
fun local_claset_of ctxt =
wenzelm@15036
   926
  context_cs ctxt (get_local_claset ctxt) (get_context_cs ctxt);
wenzelm@15036
   927
wenzelm@5841
   928
wenzelm@5885
   929
(* attributes *)
wenzelm@5885
   930
wenzelm@18728
   931
fun attrib f = Thm.declaration_attribute (fn th =>
wenzelm@18691
   932
   fn Context.Theory thy => (change_claset_of thy (f th); Context.Theory thy)
wenzelm@18691
   933
    | Context.Proof ctxt => Context.Proof (LocalClaset.map (f th) ctxt));
wenzelm@5885
   934
paulson@21689
   935
fun safe_dest w = attrib (addSE w o make_elim);
wenzelm@18691
   936
val safe_elim = attrib o addSE;
wenzelm@18691
   937
val safe_intro = attrib o addSI;
paulson@21689
   938
fun haz_dest w = attrib (addE w o make_elim);
wenzelm@18691
   939
val haz_elim = attrib o addE;
wenzelm@18691
   940
val haz_intro = attrib o addI;
wenzelm@18691
   941
val rule_del = attrib delrule o ContextRules.rule_del;
wenzelm@5885
   942
wenzelm@5885
   943
wenzelm@4079
   944
(* tactics referring to the implicit claset *)
paulson@1800
   945
wenzelm@4079
   946
(*the abstraction over the proof state delays the dereferencing*)
wenzelm@9938
   947
fun Safe_tac st           = safe_tac (claset()) st;
wenzelm@9938
   948
fun Safe_step_tac i st    = safe_step_tac (claset()) i st;
wenzelm@4079
   949
fun Clarify_step_tac i st = clarify_step_tac (claset()) i st;
wenzelm@9938
   950
fun Clarify_tac i st      = clarify_tac (claset()) i st;
wenzelm@9938
   951
fun Step_tac i st         = step_tac (claset()) i st;
wenzelm@9938
   952
fun Fast_tac i st         = fast_tac (claset()) i st;
wenzelm@9938
   953
fun Best_tac i st         = best_tac (claset()) i st;
wenzelm@9938
   954
fun Slow_tac i st         = slow_tac (claset()) i st;
wenzelm@9938
   955
fun Slow_best_tac i st    = slow_best_tac (claset()) i st;
wenzelm@9938
   956
fun Deepen_tac m          = deepen_tac (claset()) m;
paulson@2066
   957
paulson@1800
   958
wenzelm@10736
   959
end;
wenzelm@5841
   960
wenzelm@5841
   961
wenzelm@5841
   962
wenzelm@5885
   963
(** concrete syntax of attributes **)
wenzelm@5841
   964
wenzelm@5841
   965
val introN = "intro";
wenzelm@5841
   966
val elimN = "elim";
wenzelm@5841
   967
val destN = "dest";
wenzelm@9938
   968
val ruleN = "rule";
wenzelm@5841
   969
wenzelm@5841
   970
val setup_attrs = Attrib.add_attributes
wenzelm@18728
   971
 [("swapped", swapped, "classical swap of introduction rule"),
wenzelm@18728
   972
  (destN, ContextRules.add_args safe_dest haz_dest ContextRules.dest_query,
wenzelm@18688
   973
    "declaration of Classical destruction rule"),
wenzelm@18728
   974
  (elimN, ContextRules.add_args safe_elim haz_elim ContextRules.elim_query,
wenzelm@18688
   975
    "declaration of Classical elimination rule"),
wenzelm@18728
   976
  (introN, ContextRules.add_args safe_intro haz_intro ContextRules.intro_query,
wenzelm@18688
   977
    "declaration of Classical introduction rule"),
wenzelm@18728
   978
  (ruleN, Attrib.syntax (Scan.lift Args.del >> K rule_del),
wenzelm@12376
   979
    "remove declaration of intro/elim/dest rule")];
wenzelm@5841
   980
wenzelm@5841
   981
wenzelm@5841
   982
wenzelm@7230
   983
(** proof methods **)
wenzelm@7230
   984
wenzelm@14605
   985
fun METHOD_CLASET tac ctxt =
wenzelm@15036
   986
  Method.METHOD (tac ctxt (local_claset_of ctxt));
wenzelm@5841
   987
wenzelm@8098
   988
fun METHOD_CLASET' tac ctxt =
wenzelm@15036
   989
  Method.METHOD (HEADGOAL o tac ctxt (local_claset_of ctxt));
wenzelm@7230
   990
wenzelm@7230
   991
wenzelm@7230
   992
local
wenzelm@7230
   993
wenzelm@12376
   994
fun some_rule_tac ctxt (CS {xtra_netpair, ...}) facts = SUBGOAL (fn (goal, i) =>
wenzelm@5841
   995
  let
wenzelm@12401
   996
    val [rules1, rules2, rules4] = ContextRules.find_rules false facts goal ctxt;
wenzelm@12401
   997
    val rules3 = ContextRules.find_rules_netpair true facts goal xtra_netpair;
wenzelm@12376
   998
    val rules = rules1 @ rules2 @ rules3 @ rules4;
wenzelm@18223
   999
    val ruleq = Drule.multi_resolves facts rules;
wenzelm@12376
  1000
  in
wenzelm@12376
  1001
    Method.trace ctxt rules;
wenzelm@12376
  1002
    fn st => Seq.flat (Seq.map (fn rule => Tactic.rtac rule i st) ruleq)
wenzelm@18834
  1003
  end)
wenzelm@21687
  1004
  THEN_ALL_NEW Goal.norm_hhf_tac;
wenzelm@5841
  1005
wenzelm@12376
  1006
fun rule_tac [] ctxt cs facts = some_rule_tac ctxt cs facts
wenzelm@10394
  1007
  | rule_tac rules _ _ facts = Method.rule_tac rules facts;
wenzelm@7281
  1008
wenzelm@10382
  1009
fun default_tac rules ctxt cs facts =
wenzelm@14605
  1010
  HEADGOAL (rule_tac rules ctxt cs facts) ORELSE
haftmann@19110
  1011
  ClassPackage.default_intro_classes_tac facts;
wenzelm@10309
  1012
wenzelm@7230
  1013
in
wenzelm@7281
  1014
  val rule = METHOD_CLASET' o rule_tac;
wenzelm@14605
  1015
  val default = METHOD_CLASET o default_tac;
wenzelm@7230
  1016
end;
wenzelm@5841
  1017
wenzelm@5841
  1018
wenzelm@7230
  1019
(* contradiction method *)
wenzelm@6502
  1020
wenzelm@7425
  1021
val contradiction = Method.rule [Data.not_elim, Data.not_elim COMP Drule.swap_prems_rl];
wenzelm@6502
  1022
wenzelm@6502
  1023
wenzelm@6502
  1024
(* automatic methods *)
wenzelm@5841
  1025
wenzelm@5927
  1026
val cla_modifiers =
wenzelm@18728
  1027
 [Args.$$$ destN -- Args.bang_colon >> K ((I, safe_dest NONE): Method.modifier),
wenzelm@18728
  1028
  Args.$$$ destN -- Args.colon >> K (I, haz_dest NONE),
wenzelm@18728
  1029
  Args.$$$ elimN -- Args.bang_colon >> K (I, safe_elim NONE),
wenzelm@18728
  1030
  Args.$$$ elimN -- Args.colon >> K (I, haz_elim NONE),
wenzelm@18728
  1031
  Args.$$$ introN -- Args.bang_colon >> K (I, safe_intro NONE),
wenzelm@18728
  1032
  Args.$$$ introN -- Args.colon >> K (I, haz_intro NONE),
wenzelm@18728
  1033
  Args.del -- Args.colon >> K (I, rule_del)];
wenzelm@5927
  1034
wenzelm@7559
  1035
fun cla_meth tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@15036
  1036
  ALLGOALS (Method.insert_tac (prems @ facts)) THEN tac (local_claset_of ctxt));
wenzelm@7132
  1037
wenzelm@7559
  1038
fun cla_meth' tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@15036
  1039
  HEADGOAL (Method.insert_tac (prems @ facts) THEN' tac (local_claset_of ctxt)));
wenzelm@5841
  1040
wenzelm@7559
  1041
val cla_method = Method.bang_sectioned_args cla_modifiers o cla_meth;
wenzelm@7559
  1042
val cla_method' = Method.bang_sectioned_args cla_modifiers o cla_meth';
wenzelm@5841
  1043
wenzelm@5841
  1044
wenzelm@5841
  1045
wenzelm@5841
  1046
(** setup_methods **)
wenzelm@5841
  1047
wenzelm@5841
  1048
val setup_methods = Method.add_methods
wenzelm@12376
  1049
 [("default", Method.thms_ctxt_args default, "apply some intro/elim rule (potentially classical)"),
wenzelm@12376
  1050
  ("rule", Method.thms_ctxt_args rule, "apply some intro/elim rule (potentially classical)"),
wenzelm@6502
  1051
  ("contradiction", Method.no_args contradiction, "proof by contradiction"),
wenzelm@10821
  1052
  ("clarify", cla_method' (CHANGED_PROP oo clarify_tac), "repeatedly apply safe steps"),
wenzelm@7004
  1053
  ("fast", cla_method' fast_tac, "classical prover (depth-first)"),
wenzelm@9806
  1054
  ("slow", cla_method' slow_tac, "classical prover (slow depth-first)"),
wenzelm@9773
  1055
  ("best", cla_method' best_tac, "classical prover (best-first)"),
berghofe@18015
  1056
  ("deepen", cla_method' (fn cs => deepen_tac cs 4), "classical prover (iterative deepening)"),
wenzelm@10821
  1057
  ("safe", cla_method (CHANGED_PROP o safe_tac), "classical prover (apply safe rules)")];
wenzelm@5841
  1058
wenzelm@5841
  1059
wenzelm@5841
  1060
wenzelm@5841
  1061
(** theory setup **)
wenzelm@5841
  1062
wenzelm@18708
  1063
val setup = GlobalClaset.init #> LocalClaset.init #> setup_attrs #> setup_methods;
wenzelm@5841
  1064
wenzelm@5841
  1065
wenzelm@8667
  1066
wenzelm@8667
  1067
(** outer syntax **)
wenzelm@8667
  1068
wenzelm@8667
  1069
val print_clasetP =
wenzelm@8667
  1070
  OuterSyntax.improper_command "print_claset" "print context of Classical Reasoner"
wenzelm@17057
  1071
    OuterKeyword.diag
wenzelm@9513
  1072
    (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o (Toplevel.keep
wenzelm@20956
  1073
      (Toplevel.node_case
wenzelm@20956
  1074
        (Context.cases print_claset print_local_claset)
wenzelm@20956
  1075
        (print_local_claset o Proof.context_of)))));
wenzelm@8667
  1076
wenzelm@8667
  1077
val _ = OuterSyntax.add_parsers [print_clasetP];
wenzelm@8667
  1078
wenzelm@8667
  1079
wenzelm@5841
  1080
end;