src/Provers/classical.ML
author wenzelm
Wed Apr 04 00:11:03 2007 +0200 (2007-04-04)
changeset 22578 b0eb5652f210
parent 22474 ecdaec8cf13a
child 22674 1a610904bbca
permissions -rw-r--r--
removed obsolete sign_of/sign_of_thm;
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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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    in if Thm.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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(*For use with biresolve_tac.  Combines intro rules with swap to handle negated
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  assumptions.  Pairs elim rules with true. *)
wenzelm@12376
   317
fun joinrules (intrs, elims) =
paulson@18557
   318
  (map (pair true) (elims @ swapify intrs)) @ map (pair false) intrs;
wenzelm@12376
   319
wenzelm@12401
   320
fun joinrules' (intrs, elims) =
paulson@18557
   321
  map (pair true) elims @ map (pair false) intrs;
lcp@1073
   322
wenzelm@10736
   323
(*Priority: prefer rules with fewest subgoals,
paulson@1231
   324
  then rules added most recently (preferring the head of the list).*)
lcp@1073
   325
fun tag_brls k [] = []
lcp@1073
   326
  | tag_brls k (brl::brls) =
wenzelm@10736
   327
      (1000000*subgoals_of_brl brl + k, brl) ::
lcp@1073
   328
      tag_brls (k+1) brls;
lcp@1073
   329
wenzelm@12401
   330
fun tag_brls' _ _ [] = []
wenzelm@12401
   331
  | tag_brls' w k (brl::brls) = ((w, k), brl) :: tag_brls' w (k + 1) brls;
wenzelm@10736
   332
skalberg@15574
   333
fun insert_tagged_list kbrls netpr = foldr Tactic.insert_tagged_brl netpr kbrls;
lcp@1073
   334
lcp@1073
   335
(*Insert into netpair that already has nI intr rules and nE elim rules.
lcp@1073
   336
  Count the intr rules double (to account for swapify).  Negate to give the
lcp@1073
   337
  new insertions the lowest priority.*)
wenzelm@12376
   338
fun insert (nI, nE) = insert_tagged_list o (tag_brls (~(2*nI+nE))) o joinrules;
wenzelm@12401
   339
fun insert' w (nI, nE) = insert_tagged_list o tag_brls' w (~(nI + nE)) o joinrules';
lcp@1073
   340
skalberg@15574
   341
fun delete_tagged_list brls netpr = foldr Tactic.delete_tagged_brl netpr brls;
wenzelm@12362
   342
fun delete x = delete_tagged_list (joinrules x);
wenzelm@12401
   343
fun delete' x = delete_tagged_list (joinrules' x);
paulson@1800
   344
wenzelm@22360
   345
val mem_thm = member Thm.eq_thm_prop
wenzelm@22360
   346
and rem_thm = remove Thm.eq_thm_prop;
paulson@2813
   347
paulson@1927
   348
(*Warn if the rule is already present ELSEWHERE in the claset.  The addition
paulson@1927
   349
  is still allowed.*)
wenzelm@12376
   350
fun warn_dup th (CS{safeIs, safeEs, hazIs, hazEs, ...}) =
wenzelm@18691
   351
       if mem_thm safeIs th then
wenzelm@9938
   352
         warning ("Rule already declared as safe introduction (intro!)\n" ^ string_of_thm th)
wenzelm@18691
   353
  else if mem_thm safeEs th then
wenzelm@9408
   354
         warning ("Rule already declared as safe elimination (elim!)\n" ^ string_of_thm th)
wenzelm@18691
   355
  else if mem_thm hazIs th then
wenzelm@9760
   356
         warning ("Rule already declared as introduction (intro)\n" ^ string_of_thm th)
wenzelm@18691
   357
  else if mem_thm hazEs th then
wenzelm@9760
   358
         warning ("Rule already declared as elimination (elim)\n" ^ string_of_thm th)
paulson@1927
   359
  else ();
paulson@1927
   360
wenzelm@12376
   361
paulson@1800
   362
(*** Safe rules ***)
lcp@982
   363
wenzelm@18691
   364
fun addSI w th
wenzelm@18534
   365
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   366
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   367
  if mem_thm safeIs th then
wenzelm@9938
   368
         (warning ("Ignoring duplicate safe introduction (intro!)\n" ^ string_of_thm th);
wenzelm@9938
   369
          cs)
paulson@1927
   370
  else
lcp@1073
   371
  let val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
skalberg@15570
   372
          List.partition Thm.no_prems [th]
paulson@1927
   373
      val nI = length safeIs + 1
lcp@1073
   374
      and nE = length safeEs
paulson@1927
   375
  in warn_dup th cs;
wenzelm@9938
   376
     CS{safeIs  = th::safeIs,
lcp@1073
   377
        safe0_netpair = insert (nI,nE) (safe0_rls, []) safe0_netpair,
wenzelm@9938
   378
        safep_netpair = insert (nI,nE) (safep_rls, []) safep_netpair,
wenzelm@9938
   379
        safeEs  = safeEs,
wenzelm@9938
   380
        hazIs   = hazIs,
wenzelm@9938
   381
        hazEs   = hazEs,
wenzelm@9938
   382
        swrappers    = swrappers,
wenzelm@9938
   383
        uwrappers    = uwrappers,
wenzelm@9938
   384
        haz_netpair  = haz_netpair,
wenzelm@9938
   385
        dup_netpair  = dup_netpair,
wenzelm@18691
   386
        xtra_netpair = insert' (the_default 0 w) (nI,nE) ([th], []) xtra_netpair}
lcp@1073
   387
  end;
lcp@1073
   388
wenzelm@18691
   389
fun addSE w th
wenzelm@18534
   390
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   391
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   392
  if mem_thm safeEs th then
wenzelm@9938
   393
         (warning ("Ignoring duplicate safe elimination (elim!)\n" ^ string_of_thm th);
wenzelm@9938
   394
          cs)
paulson@18557
   395
  else if has_fewer_prems 1 th then
paulson@18557
   396
    	error("Ill-formed elimination rule\n" ^ string_of_thm th)
paulson@1927
   397
  else
wenzelm@18534
   398
  let
wenzelm@18534
   399
      val th' = classical_rule th
wenzelm@18534
   400
      val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
wenzelm@18534
   401
          List.partition (fn rl => nprems_of rl=1) [th']
lcp@1073
   402
      val nI = length safeIs
paulson@1927
   403
      and nE = length safeEs + 1
paulson@1927
   404
  in warn_dup th cs;
wenzelm@9938
   405
     CS{safeEs  = th::safeEs,
lcp@1073
   406
        safe0_netpair = insert (nI,nE) ([], safe0_rls) safe0_netpair,
wenzelm@9938
   407
        safep_netpair = insert (nI,nE) ([], safep_rls) safep_netpair,
wenzelm@9938
   408
        safeIs  = safeIs,
wenzelm@9938
   409
        hazIs   = hazIs,
wenzelm@9938
   410
        hazEs   = hazEs,
wenzelm@9938
   411
        swrappers    = swrappers,
wenzelm@9938
   412
        uwrappers    = uwrappers,
wenzelm@9938
   413
        haz_netpair  = haz_netpair,
wenzelm@9938
   414
        dup_netpair  = dup_netpair,
wenzelm@18691
   415
        xtra_netpair = insert' (the_default 0 w) (nI,nE) ([], [th]) xtra_netpair}
lcp@1073
   416
  end;
clasohm@0
   417
wenzelm@18691
   418
fun cs addSIs ths = fold_rev (addSI NONE) ths cs;
wenzelm@18691
   419
fun cs addSEs ths = fold_rev (addSE NONE) ths cs;
paulson@1927
   420
paulson@21689
   421
fun make_elim th =
paulson@18557
   422
    if has_fewer_prems 1 th then
paulson@18557
   423
    	error("Ill-formed destruction rule\n" ^ string_of_thm th)
paulson@21689
   424
    else Tactic.make_elim th;
paulson@17084
   425
paulson@21689
   426
fun cs addSDs ths = cs addSEs (map make_elim ths);
clasohm@0
   427
lcp@1073
   428
paulson@1800
   429
(*** Hazardous (unsafe) rules ***)
clasohm@0
   430
wenzelm@18691
   431
fun addI w th
wenzelm@18534
   432
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   433
             safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   434
  if mem_thm hazIs th then
wenzelm@9938
   435
         (warning ("Ignoring duplicate introduction (intro)\n" ^ string_of_thm th);
wenzelm@9938
   436
          cs)
paulson@1927
   437
  else
paulson@1927
   438
  let val nI = length hazIs + 1
lcp@1073
   439
      and nE = length hazEs
paulson@1927
   440
  in warn_dup th cs;
wenzelm@9938
   441
     CS{hazIs   = th::hazIs,
wenzelm@9938
   442
        haz_netpair = insert (nI,nE) ([th], []) haz_netpair,
wenzelm@9938
   443
        dup_netpair = insert (nI,nE) (map dup_intr [th], []) dup_netpair,
wenzelm@10736
   444
        safeIs  = safeIs,
wenzelm@9938
   445
        safeEs  = safeEs,
wenzelm@9938
   446
        hazEs   = hazEs,
wenzelm@9938
   447
        swrappers     = swrappers,
wenzelm@9938
   448
        uwrappers     = uwrappers,
wenzelm@9938
   449
        safe0_netpair = safe0_netpair,
wenzelm@9938
   450
        safep_netpair = safep_netpair,
wenzelm@18691
   451
        xtra_netpair = insert' (the_default 1 w) (nI,nE) ([th], []) xtra_netpair}
paulson@18557
   452
  end
paulson@18557
   453
  handle THM("RSN: no unifiers",_,_) => (*from dup_intr*)
paulson@18557
   454
         error ("Ill-formed introduction rule\n" ^ string_of_thm th);
lcp@1073
   455
wenzelm@18691
   456
fun addE w th
wenzelm@18534
   457
  (cs as CS {safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@18534
   458
            safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   459
  if mem_thm hazEs th then
wenzelm@9938
   460
         (warning ("Ignoring duplicate elimination (elim)\n" ^ string_of_thm th);
wenzelm@9938
   461
          cs)
paulson@18557
   462
  else if has_fewer_prems 1 th then
paulson@18557
   463
    	error("Ill-formed elimination rule\n" ^ string_of_thm th)
paulson@1927
   464
  else
wenzelm@18534
   465
  let
wenzelm@18534
   466
      val th' = classical_rule th
wenzelm@18534
   467
      val nI = length hazIs
paulson@1927
   468
      and nE = length hazEs + 1
paulson@1927
   469
  in warn_dup th cs;
wenzelm@9938
   470
     CS{hazEs   = th::hazEs,
wenzelm@18534
   471
        haz_netpair = insert (nI,nE) ([], [th']) haz_netpair,
wenzelm@18534
   472
        dup_netpair = insert (nI,nE) ([], map dup_elim [th']) dup_netpair,
wenzelm@10736
   473
        safeIs  = safeIs,
wenzelm@9938
   474
        safeEs  = safeEs,
wenzelm@9938
   475
        hazIs   = hazIs,
wenzelm@9938
   476
        swrappers     = swrappers,
wenzelm@9938
   477
        uwrappers     = uwrappers,
wenzelm@9938
   478
        safe0_netpair = safe0_netpair,
wenzelm@9938
   479
        safep_netpair = safep_netpair,
wenzelm@18691
   480
        xtra_netpair = insert' (the_default 1 w) (nI,nE) ([], [th]) xtra_netpair}
lcp@1073
   481
  end;
clasohm@0
   482
wenzelm@18691
   483
fun cs addIs ths = fold_rev (addI NONE) ths cs;
wenzelm@18691
   484
fun cs addEs ths = fold_rev (addE NONE) ths cs;
paulson@1927
   485
paulson@21689
   486
fun cs addDs ths = cs addEs (map make_elim ths);
clasohm@0
   487
lcp@1073
   488
wenzelm@10736
   489
(*** Deletion of rules
paulson@1800
   490
     Working out what to delete, requires repeating much of the code used
wenzelm@9938
   491
        to insert.
paulson@1800
   492
***)
paulson@1800
   493
wenzelm@10736
   494
fun delSI th
wenzelm@12376
   495
          (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   496
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   497
 if mem_thm safeIs th then
skalberg@15570
   498
   let val (safe0_rls, safep_rls) = List.partition Thm.no_prems [th]
paulson@2813
   499
   in CS{safe0_netpair = delete (safe0_rls, []) safe0_netpair,
wenzelm@9938
   500
         safep_netpair = delete (safep_rls, []) safep_netpair,
wenzelm@18691
   501
         safeIs = rem_thm th safeIs,
wenzelm@9938
   502
         safeEs = safeEs,
wenzelm@9938
   503
         hazIs  = hazIs,
wenzelm@9938
   504
         hazEs  = hazEs,
wenzelm@9938
   505
         swrappers    = swrappers,
wenzelm@9938
   506
         uwrappers    = uwrappers,
wenzelm@9938
   507
         haz_netpair  = haz_netpair,
wenzelm@9938
   508
         dup_netpair  = dup_netpair,
wenzelm@12401
   509
         xtra_netpair = delete' ([th], []) xtra_netpair}
paulson@2813
   510
   end
paulson@2813
   511
 else cs;
paulson@1800
   512
paulson@2813
   513
fun delSE th
wenzelm@12376
   514
          (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   515
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   516
  if mem_thm safeEs th then
wenzelm@18534
   517
    let
wenzelm@18534
   518
      val th' = classical_rule th
wenzelm@18534
   519
      val (safe0_rls, safep_rls) = List.partition (fn rl => nprems_of rl=1) [th']
wenzelm@18534
   520
    in CS{safe0_netpair = delete ([], safe0_rls) safe0_netpair,
wenzelm@9938
   521
         safep_netpair = delete ([], safep_rls) safep_netpair,
wenzelm@9938
   522
         safeIs = safeIs,
wenzelm@18691
   523
         safeEs = rem_thm th safeEs,
wenzelm@9938
   524
         hazIs  = hazIs,
wenzelm@9938
   525
         hazEs  = hazEs,
wenzelm@9938
   526
         swrappers    = swrappers,
wenzelm@9938
   527
         uwrappers    = uwrappers,
wenzelm@9938
   528
         haz_netpair  = haz_netpair,
wenzelm@9938
   529
         dup_netpair  = dup_netpair,
wenzelm@12401
   530
         xtra_netpair = delete' ([], [th]) xtra_netpair}
wenzelm@18534
   531
    end
wenzelm@18534
   532
  else cs;
paulson@1800
   533
paulson@1800
   534
paulson@2813
   535
fun delI th
wenzelm@12376
   536
         (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   537
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18691
   538
 if mem_thm hazIs th then
paulson@2813
   539
     CS{haz_netpair = delete ([th], []) haz_netpair,
wenzelm@9938
   540
        dup_netpair = delete ([dup_intr th], []) dup_netpair,
wenzelm@10736
   541
        safeIs  = safeIs,
wenzelm@9938
   542
        safeEs  = safeEs,
wenzelm@18691
   543
        hazIs   = rem_thm th hazIs,
wenzelm@9938
   544
        hazEs   = hazEs,
wenzelm@9938
   545
        swrappers     = swrappers,
wenzelm@9938
   546
        uwrappers     = uwrappers,
wenzelm@9938
   547
        safe0_netpair = safe0_netpair,
wenzelm@9938
   548
        safep_netpair = safep_netpair,
wenzelm@12401
   549
        xtra_netpair = delete' ([th], []) xtra_netpair}
paulson@18557
   550
 else cs
paulson@18557
   551
 handle THM("RSN: no unifiers",_,_) => (*from dup_intr*)
paulson@18557
   552
        error ("Ill-formed introduction rule\n" ^ string_of_thm th);
paulson@18557
   553
paulson@1800
   554
paulson@2813
   555
fun delE th
wenzelm@12376
   556
         (cs as CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@9938
   557
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@18534
   558
  let val th' = classical_rule th in
wenzelm@18691
   559
    if mem_thm hazEs th then
wenzelm@18534
   560
     CS{haz_netpair = delete ([], [th']) haz_netpair,
wenzelm@18534
   561
        dup_netpair = delete ([], [dup_elim th']) dup_netpair,
wenzelm@10736
   562
        safeIs  = safeIs,
wenzelm@9938
   563
        safeEs  = safeEs,
wenzelm@9938
   564
        hazIs   = hazIs,
wenzelm@18691
   565
        hazEs   = rem_thm th hazEs,
wenzelm@9938
   566
        swrappers     = swrappers,
wenzelm@9938
   567
        uwrappers     = uwrappers,
wenzelm@9938
   568
        safe0_netpair = safe0_netpair,
wenzelm@9938
   569
        safep_netpair = safep_netpair,
wenzelm@12401
   570
        xtra_netpair = delete' ([], [th]) xtra_netpair}
wenzelm@18534
   571
     else cs
wenzelm@18534
   572
   end;
wenzelm@6955
   573
paulson@1800
   574
paulson@2813
   575
(*Delete ALL occurrences of "th" in the claset (perhaps from several lists)*)
wenzelm@18534
   576
fun delrule th (cs as CS {safeIs, safeEs, hazIs, hazEs, ...}) =
wenzelm@18534
   577
  let val th' = Tactic.make_elim th in
wenzelm@18691
   578
    if mem_thm safeIs th orelse mem_thm safeEs th orelse
wenzelm@18691
   579
      mem_thm hazIs th orelse mem_thm hazEs th orelse
wenzelm@18691
   580
      mem_thm safeEs th' orelse mem_thm hazEs th'
wenzelm@12376
   581
    then delSI th (delSE th (delI th (delE th (delSE th' (delE th' cs)))))
wenzelm@18534
   582
    else (warning ("Undeclared classical rule\n" ^ string_of_thm th); cs)
wenzelm@9938
   583
  end;
paulson@1800
   584
wenzelm@18534
   585
fun cs delrules ths = fold delrule ths cs;
paulson@1800
   586
paulson@1800
   587
oheimb@4767
   588
(*** Modifying the wrapper tacticals ***)
wenzelm@10736
   589
fun update_swrappers
wenzelm@12376
   590
(CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@6955
   591
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   592
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
oheimb@4767
   593
    swrappers = f swrappers, uwrappers = uwrappers,
oheimb@4767
   594
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   595
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   596
wenzelm@10736
   597
fun update_uwrappers
wenzelm@12376
   598
(CS{safeIs, safeEs, hazIs, hazEs, swrappers, uwrappers,
wenzelm@6955
   599
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   600
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
oheimb@4767
   601
    swrappers = swrappers, uwrappers = f uwrappers,
oheimb@4767
   602
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   603
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   604
haftmann@22468
   605
fun overwrite_warn msg (p as (key : string, v)) xs =
haftmann@22468
   606
  let
haftmann@22468
   607
    fun over ((q as (keyi, _)) :: xs) =
haftmann@22468
   608
          if keyi = key then p :: xs else q :: over xs
haftmann@22468
   609
      | over [] = [p];
haftmann@22468
   610
  in (
haftmann@22474
   611
    if AList.defined (op =) xs key then warning msg else ();
haftmann@22468
   612
    over xs
haftmann@22468
   613
  ) end;
lcp@982
   614
oheimb@4651
   615
(*Add/replace a safe wrapper*)
haftmann@22468
   616
fun cs addSWrapper new_swrapper = update_swrappers cs
haftmann@22468
   617
  (overwrite_warn ("Overwriting safe wrapper " ^ fst new_swrapper) new_swrapper);
oheimb@4651
   618
oheimb@4651
   619
(*Add/replace an unsafe wrapper*)
haftmann@22468
   620
fun cs addWrapper new_uwrapper = update_uwrappers cs
haftmann@22468
   621
  (overwrite_warn ("Overwriting unsafe wrapper "^fst new_uwrapper) new_uwrapper);
lcp@982
   622
oheimb@4651
   623
(*Remove a safe wrapper*)
oheimb@4767
   624
fun cs delSWrapper name = update_swrappers cs (fn swrappers =>
wenzelm@17795
   625
  let val swrappers' = filter_out (equal name o fst) swrappers in
wenzelm@15036
   626
    if length swrappers <> length swrappers' then swrappers'
wenzelm@15036
   627
    else (warning ("No such safe wrapper in claset: "^ name); swrappers)
wenzelm@15036
   628
  end);
lcp@982
   629
oheimb@4651
   630
(*Remove an unsafe wrapper*)
oheimb@4767
   631
fun cs delWrapper name = update_uwrappers cs (fn uwrappers =>
wenzelm@17795
   632
  let val uwrappers' = filter_out (equal name o fst) uwrappers in
wenzelm@15036
   633
    if length uwrappers <> length uwrappers' then uwrappers'
wenzelm@15036
   634
    else (warning ("No such unsafe wrapper in claset: " ^ name); uwrappers)
wenzelm@15036
   635
  end);
lcp@982
   636
oheimb@11168
   637
(* compose a safe tactic alternatively before/after safe_step_tac *)
wenzelm@10736
   638
fun cs addSbefore  (name,    tac1) =
oheimb@5523
   639
    cs addSWrapper (name, fn tac2 => tac1 ORELSE' tac2);
oheimb@11181
   640
fun cs addSafter   (name,    tac2) =
oheimb@5523
   641
    cs addSWrapper (name, fn tac1 => tac1 ORELSE' tac2);
lcp@982
   642
oheimb@11168
   643
(*compose a tactic alternatively before/after the step tactic *)
wenzelm@10736
   644
fun cs addbefore   (name,    tac1) =
oheimb@5523
   645
    cs addWrapper  (name, fn tac2 => tac1 APPEND' tac2);
oheimb@11181
   646
fun cs addafter    (name,    tac2) =
oheimb@5523
   647
    cs addWrapper  (name, fn tac1 => tac1 APPEND' tac2);
oheimb@4767
   648
wenzelm@10736
   649
fun cs addD2     (name, thm) =
oheimb@11181
   650
    cs addafter  (name, datac thm 1);
wenzelm@10736
   651
fun cs addE2     (name, thm) =
oheimb@11181
   652
    cs addafter  (name, eatac thm 1);
oheimb@11181
   653
fun cs addSD2    (name, thm) =
oheimb@11181
   654
    cs addSafter (name, dmatch_tac [thm] THEN' eq_assume_tac);
oheimb@11181
   655
fun cs addSE2    (name, thm) =
oheimb@11181
   656
    cs addSafter (name, ematch_tac [thm] THEN' eq_assume_tac);
lcp@982
   657
paulson@1711
   658
(*Merge works by adding all new rules of the 2nd claset into the 1st claset.
paulson@1711
   659
  Merging the term nets may look more efficient, but the rather delicate
paulson@1711
   660
  treatment of priority might get muddled up.*)
wenzelm@12376
   661
fun merge_cs (cs as CS{safeIs, safeEs, hazIs, hazEs, ...},
wenzelm@12376
   662
     CS{safeIs=safeIs2, safeEs=safeEs2, hazIs=hazIs2, hazEs=hazEs2, swrappers, uwrappers, ...}) =
wenzelm@18989
   663
  let val safeIs' = fold rem_thm safeIs safeIs2
wenzelm@18989
   664
      val safeEs' = fold rem_thm safeEs safeEs2
wenzelm@18989
   665
      val hazIs' = fold rem_thm hazIs hazIs2
wenzelm@18989
   666
      val hazEs' = fold rem_thm hazEs hazEs2
oheimb@4767
   667
      val cs1   = cs addSIs safeIs'
wenzelm@9938
   668
                     addSEs safeEs'
wenzelm@9938
   669
                     addIs  hazIs'
wenzelm@9938
   670
                     addEs  hazEs'
oheimb@4767
   671
      val cs2 = update_swrappers cs1 (fn ws => merge_alists ws swrappers);
oheimb@4767
   672
      val cs3 = update_uwrappers cs2 (fn ws => merge_alists ws uwrappers);
wenzelm@10736
   673
  in cs3
paulson@1711
   674
  end;
paulson@1711
   675
lcp@982
   676
paulson@1800
   677
(**** Simple tactics for theorem proving ****)
clasohm@0
   678
clasohm@0
   679
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   680
fun safe_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   681
  appSWrappers cs (FIRST' [
wenzelm@9938
   682
        eq_assume_tac,
wenzelm@9938
   683
        eq_mp_tac,
wenzelm@9938
   684
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   685
        FIRST' hyp_subst_tacs,
wenzelm@9938
   686
        bimatch_from_nets_tac safep_netpair]);
clasohm@0
   687
oheimb@5757
   688
(*Repeatedly attack a subgoal using safe inferences -- it's deterministic!*)
wenzelm@10736
   689
fun safe_steps_tac cs = REPEAT_DETERM1 o
wenzelm@9938
   690
        (fn i => COND (has_fewer_prems i) no_tac (safe_step_tac cs i));
oheimb@5757
   691
clasohm@0
   692
(*Repeatedly attack subgoals using safe inferences -- it's deterministic!*)
oheimb@5757
   693
fun safe_tac cs = REPEAT_DETERM1 (FIRSTGOAL (safe_steps_tac cs));
lcp@747
   694
paulson@3705
   695
paulson@3705
   696
(*** Clarify_tac: do safe steps without causing branching ***)
paulson@3705
   697
paulson@3705
   698
fun nsubgoalsP n (k,brl) = (subgoals_of_brl brl = n);
paulson@3705
   699
paulson@3705
   700
(*version of bimatch_from_nets_tac that only applies rules that
paulson@3705
   701
  create precisely n subgoals.*)
wenzelm@10736
   702
fun n_bimatch_from_nets_tac n =
skalberg@15570
   703
    biresolution_from_nets_tac (Tactic.orderlist o List.filter (nsubgoalsP n)) true;
paulson@3705
   704
paulson@3705
   705
fun eq_contr_tac i = ematch_tac [not_elim] i  THEN  eq_assume_tac i;
paulson@3705
   706
val eq_assume_contr_tac = eq_assume_tac ORELSE' eq_contr_tac;
paulson@3705
   707
paulson@3705
   708
(*Two-way branching is allowed only if one of the branches immediately closes*)
paulson@3705
   709
fun bimatch2_tac netpair i =
paulson@3705
   710
    n_bimatch_from_nets_tac 2 netpair i THEN
paulson@3705
   711
    (eq_assume_contr_tac i ORELSE eq_assume_contr_tac (i+1));
paulson@3705
   712
paulson@3705
   713
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   714
fun clarify_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   715
  appSWrappers cs (FIRST' [
wenzelm@9938
   716
        eq_assume_contr_tac,
wenzelm@9938
   717
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   718
        FIRST' hyp_subst_tacs,
wenzelm@9938
   719
        n_bimatch_from_nets_tac 1 safep_netpair,
paulson@3705
   720
        bimatch2_tac safep_netpair]);
paulson@3705
   721
paulson@3705
   722
fun clarify_tac cs = SELECT_GOAL (REPEAT_DETERM (clarify_step_tac cs 1));
paulson@3705
   723
paulson@3705
   724
paulson@3705
   725
(*** Unsafe steps instantiate variables or lose information ***)
paulson@3705
   726
paulson@4066
   727
(*Backtracking is allowed among the various these unsafe ways of
paulson@4066
   728
  proving a subgoal.  *)
lcp@747
   729
fun inst0_step_tac (CS{safe0_netpair,safep_netpair,...}) =
wenzelm@10736
   730
  assume_tac                      APPEND'
wenzelm@10736
   731
  contr_tac                       APPEND'
lcp@747
   732
  biresolve_from_nets_tac safe0_netpair;
lcp@747
   733
paulson@4066
   734
(*These unsafe steps could generate more subgoals.*)
lcp@747
   735
fun instp_step_tac (CS{safep_netpair,...}) =
lcp@747
   736
  biresolve_from_nets_tac safep_netpair;
clasohm@0
   737
clasohm@0
   738
(*These steps could instantiate variables and are therefore unsafe.*)
lcp@747
   739
fun inst_step_tac cs = inst0_step_tac cs APPEND' instp_step_tac cs;
clasohm@0
   740
wenzelm@10736
   741
fun haz_step_tac (CS{haz_netpair,...}) =
lcp@681
   742
  biresolve_from_nets_tac haz_netpair;
lcp@681
   743
clasohm@0
   744
(*Single step for the prover.  FAILS unless it makes progress. *)
wenzelm@10736
   745
fun step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   746
        (inst_step_tac cs ORELSE' haz_step_tac cs) i;
clasohm@0
   747
clasohm@0
   748
(*Using a "safe" rule to instantiate variables is unsafe.  This tactic
clasohm@0
   749
  allows backtracking from "safe" rules to "unsafe" rules here.*)
wenzelm@10736
   750
fun slow_step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   751
        (inst_step_tac cs APPEND' haz_step_tac cs) i;
clasohm@0
   752
paulson@1800
   753
(**** The following tactics all fail unless they solve one goal ****)
clasohm@0
   754
clasohm@0
   755
(*Dumb but fast*)
wenzelm@10382
   756
fun fast_tac cs =
wenzelm@11754
   757
  ObjectLogic.atomize_tac THEN' SELECT_GOAL (DEPTH_SOLVE (step_tac cs 1));
clasohm@0
   758
clasohm@0
   759
(*Slower but smarter than fast_tac*)
wenzelm@10382
   760
fun best_tac cs =
wenzelm@11754
   761
  ObjectLogic.atomize_tac THEN'
clasohm@0
   762
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (step_tac cs 1));
clasohm@0
   763
oheimb@9402
   764
(*even a bit smarter than best_tac*)
wenzelm@10382
   765
fun first_best_tac cs =
wenzelm@11754
   766
  ObjectLogic.atomize_tac THEN'
oheimb@9402
   767
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (FIRSTGOAL (step_tac cs)));
oheimb@9402
   768
wenzelm@10382
   769
fun slow_tac cs =
wenzelm@11754
   770
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   771
  SELECT_GOAL (DEPTH_SOLVE (slow_step_tac cs 1));
clasohm@0
   772
wenzelm@10382
   773
fun slow_best_tac cs =
wenzelm@11754
   774
  ObjectLogic.atomize_tac THEN'
clasohm@0
   775
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (slow_step_tac cs 1));
clasohm@0
   776
lcp@681
   777
wenzelm@10736
   778
(***ASTAR with weight weight_ASTAR, by Norbert Voelker*)
wenzelm@10736
   779
val weight_ASTAR = ref 5;
paulson@1587
   780
wenzelm@10382
   781
fun 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
      (step_tac cs 1));
paulson@1587
   786
wenzelm@10736
   787
fun slow_astar_tac cs =
wenzelm@11754
   788
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   789
  SELECT_GOAL
wenzelm@10382
   790
    (ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + !weight_ASTAR * lev)
wenzelm@10382
   791
      (slow_step_tac cs 1));
paulson@1587
   792
paulson@1800
   793
(**** Complete tactic, loosely based upon LeanTaP.  This tactic is the outcome
lcp@747
   794
  of much experimentation!  Changing APPEND to ORELSE below would prove
lcp@747
   795
  easy theorems faster, but loses completeness -- and many of the harder
paulson@1800
   796
  theorems such as 43. ****)
lcp@681
   797
lcp@747
   798
(*Non-deterministic!  Could always expand the first unsafe connective.
lcp@747
   799
  That's hard to implement and did not perform better in experiments, due to
lcp@747
   800
  greater search depth required.*)
wenzelm@10736
   801
fun dup_step_tac (cs as (CS{dup_netpair,...})) =
lcp@681
   802
  biresolve_from_nets_tac dup_netpair;
lcp@681
   803
oheimb@5523
   804
(*Searching to depth m. A variant called nodup_depth_tac appears in clasimp.ML*)
oheimb@5757
   805
local
wenzelm@10736
   806
fun slow_step_tac' cs = appWrappers cs
wenzelm@9938
   807
        (instp_step_tac cs APPEND' dup_step_tac cs);
wenzelm@10736
   808
in fun depth_tac cs m i state = SELECT_GOAL
wenzelm@10736
   809
   (safe_steps_tac cs 1 THEN_ELSE
wenzelm@9938
   810
        (DEPTH_SOLVE (depth_tac cs m 1),
wenzelm@9938
   811
         inst0_step_tac cs 1 APPEND COND (K (m=0)) no_tac
wenzelm@9938
   812
                (slow_step_tac' cs 1 THEN DEPTH_SOLVE (depth_tac cs (m-1) 1))
oheimb@5757
   813
        )) i state;
oheimb@5757
   814
end;
lcp@747
   815
wenzelm@10736
   816
(*Search, with depth bound m.
paulson@2173
   817
  This is the "entry point", which does safe inferences first.*)
wenzelm@10736
   818
fun safe_depth_tac cs m =
wenzelm@10736
   819
  SUBGOAL
lcp@681
   820
    (fn (prem,i) =>
lcp@681
   821
      let val deti =
wenzelm@9938
   822
          (*No Vars in the goal?  No need to backtrack between goals.*)
wenzelm@9938
   823
          case term_vars prem of
wenzelm@10736
   824
              []        => DETERM
wenzelm@9938
   825
            | _::_      => I
wenzelm@10736
   826
      in  SELECT_GOAL (TRY (safe_tac cs) THEN
wenzelm@9938
   827
                       DEPTH_SOLVE (deti (depth_tac cs m 1))) i
lcp@747
   828
      end);
lcp@681
   829
paulson@2868
   830
fun deepen_tac cs = DEEPEN (2,10) (safe_depth_tac cs);
lcp@681
   831
wenzelm@4079
   832
berghofe@1724
   833
wenzelm@15036
   834
(** context dependent claset components **)
wenzelm@15036
   835
wenzelm@15036
   836
datatype context_cs = ContextCS of
wenzelm@15036
   837
 {swrappers: (string * (Proof.context -> wrapper)) list,
wenzelm@15036
   838
  uwrappers: (string * (Proof.context -> wrapper)) list};
wenzelm@15036
   839
wenzelm@15036
   840
fun context_cs ctxt cs (ContextCS {swrappers, uwrappers}) =
wenzelm@15036
   841
  let
wenzelm@15036
   842
    fun add_wrapper add (name, f) claset = add (claset, (name, f ctxt));
wenzelm@15036
   843
  in
wenzelm@15036
   844
    cs |> fold_rev (add_wrapper (op addSWrapper)) swrappers
wenzelm@15036
   845
    |> fold_rev (add_wrapper (op addWrapper)) uwrappers
wenzelm@15036
   846
  end;
wenzelm@15036
   847
wenzelm@15036
   848
fun make_context_cs (swrappers, uwrappers) =
wenzelm@15036
   849
  ContextCS {swrappers = swrappers, uwrappers = uwrappers};
wenzelm@15036
   850
wenzelm@15036
   851
val empty_context_cs = make_context_cs ([], []);
wenzelm@15036
   852
wenzelm@15036
   853
fun merge_context_cs (ctxt_cs1, ctxt_cs2) =
wenzelm@15036
   854
  let
wenzelm@15036
   855
    val ContextCS {swrappers = swrappers1, uwrappers = uwrappers1} = ctxt_cs1;
wenzelm@15036
   856
    val ContextCS {swrappers = swrappers2, uwrappers = uwrappers2} = ctxt_cs2;
wenzelm@15036
   857
wenzelm@15036
   858
    val swrappers' = merge_alists swrappers1 swrappers2;
wenzelm@15036
   859
    val uwrappers' = merge_alists uwrappers1 uwrappers2;
wenzelm@15036
   860
  in make_context_cs (swrappers', uwrappers') end;
wenzelm@15036
   861
wenzelm@15036
   862
wenzelm@15036
   863
wenzelm@17880
   864
(** claset data **)
wenzelm@4079
   865
wenzelm@18691
   866
(* global claset *)
berghofe@1724
   867
wenzelm@16424
   868
structure GlobalClaset = TheoryDataFun
wenzelm@16424
   869
(struct
wenzelm@7354
   870
  val name = "Provers/claset";
wenzelm@15036
   871
  type T = claset ref * context_cs;
wenzelm@4079
   872
wenzelm@15036
   873
  val empty = (ref empty_cs, empty_context_cs);
wenzelm@16424
   874
  fun copy (ref cs, ctxt_cs) = (ref cs, ctxt_cs): T;
wenzelm@16424
   875
  val extend = copy;
wenzelm@16424
   876
  fun merge _ ((ref cs1, ctxt_cs1), (ref cs2, ctxt_cs2)) =
wenzelm@15036
   877
    (ref (merge_cs (cs1, cs2)), merge_context_cs (ctxt_cs1, ctxt_cs2));
wenzelm@15036
   878
  fun print _ (ref cs, _) = print_cs cs;
wenzelm@16424
   879
end);
berghofe@1724
   880
wenzelm@7354
   881
val print_claset = GlobalClaset.print;
wenzelm@17880
   882
val get_claset = ! o #1 o GlobalClaset.get;
wenzelm@17880
   883
wenzelm@15036
   884
val get_context_cs = #2 o GlobalClaset.get o ProofContext.theory_of;
wenzelm@15036
   885
fun map_context_cs f = GlobalClaset.map (apsnd
wenzelm@15036
   886
  (fn ContextCS {swrappers, uwrappers} => make_context_cs (f (swrappers, uwrappers))));
wenzelm@4079
   887
wenzelm@17880
   888
val change_claset_of = change o #1 o GlobalClaset.get;
wenzelm@22095
   889
fun change_claset f = change_claset_of (ML_Context.the_context ()) f;
paulson@1800
   890
wenzelm@18534
   891
fun claset_of thy =
wenzelm@17880
   892
  let val (cs_ref, ctxt_cs) = GlobalClaset.get thy
wenzelm@21516
   893
  in context_cs (ProofContext.init thy) (! cs_ref) (ctxt_cs) end;
wenzelm@22095
   894
val claset = claset_of o ML_Context.the_context;
wenzelm@4079
   895
wenzelm@17880
   896
fun CLASET tacf st = tacf (claset_of (Thm.theory_of_thm st)) st;
wenzelm@17880
   897
fun CLASET' tacf i st = tacf (claset_of (Thm.theory_of_thm st)) i st;
berghofe@1724
   898
wenzelm@17880
   899
fun AddDs args = change_claset (fn cs => cs addDs args);
wenzelm@17880
   900
fun AddEs args = change_claset (fn cs => cs addEs args);
wenzelm@17880
   901
fun AddIs args = change_claset (fn cs => cs addIs args);
wenzelm@17880
   902
fun AddSDs args = change_claset (fn cs => cs addSDs args);
wenzelm@17880
   903
fun AddSEs args = change_claset (fn cs => cs addSEs args);
wenzelm@17880
   904
fun AddSIs args = change_claset (fn cs => cs addSIs args);
wenzelm@17880
   905
fun Delrules args = change_claset (fn cs => cs delrules args);
paulson@3727
   906
wenzelm@4079
   907
wenzelm@15036
   908
(* context dependent components *)
wenzelm@15036
   909
wenzelm@15036
   910
fun add_context_safe_wrapper wrapper = map_context_cs (apfst (merge_alists [wrapper]));
wenzelm@15036
   911
fun del_context_safe_wrapper name = map_context_cs (apfst (filter_out (equal name o #1)));
wenzelm@15036
   912
wenzelm@15036
   913
fun add_context_unsafe_wrapper wrapper = map_context_cs (apsnd (merge_alists [wrapper]));
wenzelm@15036
   914
fun del_context_unsafe_wrapper name = map_context_cs (apsnd (filter_out (equal name o #1)));
wenzelm@15036
   915
wenzelm@15036
   916
wenzelm@18691
   917
(* local claset *)
wenzelm@5841
   918
wenzelm@16424
   919
structure LocalClaset = ProofDataFun
wenzelm@16424
   920
(struct
wenzelm@5841
   921
  val name = "Provers/claset";
wenzelm@5841
   922
  type T = claset;
wenzelm@17880
   923
  val init = get_claset;
wenzelm@15036
   924
  fun print ctxt cs = print_cs (context_cs ctxt cs (get_context_cs ctxt));
wenzelm@16424
   925
end);
wenzelm@5841
   926
wenzelm@5841
   927
val print_local_claset = LocalClaset.print;
wenzelm@5841
   928
val get_local_claset = LocalClaset.get;
wenzelm@5841
   929
val put_local_claset = LocalClaset.put;
wenzelm@5841
   930
wenzelm@15036
   931
fun local_claset_of ctxt =
wenzelm@15036
   932
  context_cs ctxt (get_local_claset ctxt) (get_context_cs ctxt);
wenzelm@15036
   933
wenzelm@5841
   934
wenzelm@5885
   935
(* attributes *)
wenzelm@5885
   936
wenzelm@18728
   937
fun attrib f = Thm.declaration_attribute (fn th =>
wenzelm@18691
   938
   fn Context.Theory thy => (change_claset_of thy (f th); Context.Theory thy)
wenzelm@18691
   939
    | Context.Proof ctxt => Context.Proof (LocalClaset.map (f th) ctxt));
wenzelm@5885
   940
paulson@21689
   941
fun safe_dest w = attrib (addSE w o make_elim);
wenzelm@18691
   942
val safe_elim = attrib o addSE;
wenzelm@18691
   943
val safe_intro = attrib o addSI;
paulson@21689
   944
fun haz_dest w = attrib (addE w o make_elim);
wenzelm@18691
   945
val haz_elim = attrib o addE;
wenzelm@18691
   946
val haz_intro = attrib o addI;
wenzelm@18691
   947
val rule_del = attrib delrule o ContextRules.rule_del;
wenzelm@5885
   948
wenzelm@5885
   949
wenzelm@4079
   950
(* tactics referring to the implicit claset *)
paulson@1800
   951
wenzelm@4079
   952
(*the abstraction over the proof state delays the dereferencing*)
wenzelm@9938
   953
fun Safe_tac st           = safe_tac (claset()) st;
wenzelm@9938
   954
fun Safe_step_tac i st    = safe_step_tac (claset()) i st;
wenzelm@4079
   955
fun Clarify_step_tac i st = clarify_step_tac (claset()) i st;
wenzelm@9938
   956
fun Clarify_tac i st      = clarify_tac (claset()) i st;
wenzelm@9938
   957
fun Step_tac i st         = step_tac (claset()) i st;
wenzelm@9938
   958
fun Fast_tac i st         = fast_tac (claset()) i st;
wenzelm@9938
   959
fun Best_tac i st         = best_tac (claset()) i st;
wenzelm@9938
   960
fun Slow_tac i st         = slow_tac (claset()) i st;
wenzelm@9938
   961
fun Slow_best_tac i st    = slow_best_tac (claset()) i st;
wenzelm@9938
   962
fun Deepen_tac m          = deepen_tac (claset()) m;
paulson@2066
   963
paulson@1800
   964
wenzelm@10736
   965
end;
wenzelm@5841
   966
wenzelm@5841
   967
wenzelm@5841
   968
wenzelm@5885
   969
(** concrete syntax of attributes **)
wenzelm@5841
   970
wenzelm@5841
   971
val introN = "intro";
wenzelm@5841
   972
val elimN = "elim";
wenzelm@5841
   973
val destN = "dest";
wenzelm@9938
   974
val ruleN = "rule";
wenzelm@5841
   975
wenzelm@5841
   976
val setup_attrs = Attrib.add_attributes
wenzelm@18728
   977
 [("swapped", swapped, "classical swap of introduction rule"),
wenzelm@18728
   978
  (destN, ContextRules.add_args safe_dest haz_dest ContextRules.dest_query,
wenzelm@18688
   979
    "declaration of Classical destruction rule"),
wenzelm@18728
   980
  (elimN, ContextRules.add_args safe_elim haz_elim ContextRules.elim_query,
wenzelm@18688
   981
    "declaration of Classical elimination rule"),
wenzelm@18728
   982
  (introN, ContextRules.add_args safe_intro haz_intro ContextRules.intro_query,
wenzelm@18688
   983
    "declaration of Classical introduction rule"),
wenzelm@18728
   984
  (ruleN, Attrib.syntax (Scan.lift Args.del >> K rule_del),
wenzelm@12376
   985
    "remove declaration of intro/elim/dest rule")];
wenzelm@5841
   986
wenzelm@5841
   987
wenzelm@5841
   988
wenzelm@7230
   989
(** proof methods **)
wenzelm@7230
   990
wenzelm@14605
   991
fun METHOD_CLASET tac ctxt =
wenzelm@15036
   992
  Method.METHOD (tac ctxt (local_claset_of ctxt));
wenzelm@5841
   993
wenzelm@8098
   994
fun METHOD_CLASET' tac ctxt =
wenzelm@15036
   995
  Method.METHOD (HEADGOAL o tac ctxt (local_claset_of ctxt));
wenzelm@7230
   996
wenzelm@7230
   997
wenzelm@7230
   998
local
wenzelm@7230
   999
wenzelm@12376
  1000
fun some_rule_tac ctxt (CS {xtra_netpair, ...}) facts = SUBGOAL (fn (goal, i) =>
wenzelm@5841
  1001
  let
wenzelm@12401
  1002
    val [rules1, rules2, rules4] = ContextRules.find_rules false facts goal ctxt;
wenzelm@12401
  1003
    val rules3 = ContextRules.find_rules_netpair true facts goal xtra_netpair;
wenzelm@12376
  1004
    val rules = rules1 @ rules2 @ rules3 @ rules4;
wenzelm@18223
  1005
    val ruleq = Drule.multi_resolves facts rules;
wenzelm@12376
  1006
  in
wenzelm@12376
  1007
    Method.trace ctxt rules;
wenzelm@12376
  1008
    fn st => Seq.flat (Seq.map (fn rule => Tactic.rtac rule i st) ruleq)
wenzelm@18834
  1009
  end)
wenzelm@21687
  1010
  THEN_ALL_NEW Goal.norm_hhf_tac;
wenzelm@5841
  1011
wenzelm@12376
  1012
fun rule_tac [] ctxt cs facts = some_rule_tac ctxt cs facts
wenzelm@10394
  1013
  | rule_tac rules _ _ facts = Method.rule_tac rules facts;
wenzelm@7281
  1014
wenzelm@10382
  1015
fun default_tac rules ctxt cs facts =
wenzelm@14605
  1016
  HEADGOAL (rule_tac rules ctxt cs facts) ORELSE
haftmann@19110
  1017
  ClassPackage.default_intro_classes_tac facts;
wenzelm@10309
  1018
wenzelm@7230
  1019
in
wenzelm@7281
  1020
  val rule = METHOD_CLASET' o rule_tac;
wenzelm@14605
  1021
  val default = METHOD_CLASET o default_tac;
wenzelm@7230
  1022
end;
wenzelm@5841
  1023
wenzelm@5841
  1024
wenzelm@7230
  1025
(* contradiction method *)
wenzelm@6502
  1026
wenzelm@7425
  1027
val contradiction = Method.rule [Data.not_elim, Data.not_elim COMP Drule.swap_prems_rl];
wenzelm@6502
  1028
wenzelm@6502
  1029
wenzelm@6502
  1030
(* automatic methods *)
wenzelm@5841
  1031
wenzelm@5927
  1032
val cla_modifiers =
wenzelm@18728
  1033
 [Args.$$$ destN -- Args.bang_colon >> K ((I, safe_dest NONE): Method.modifier),
wenzelm@18728
  1034
  Args.$$$ destN -- Args.colon >> K (I, haz_dest NONE),
wenzelm@18728
  1035
  Args.$$$ elimN -- Args.bang_colon >> K (I, safe_elim NONE),
wenzelm@18728
  1036
  Args.$$$ elimN -- Args.colon >> K (I, haz_elim NONE),
wenzelm@18728
  1037
  Args.$$$ introN -- Args.bang_colon >> K (I, safe_intro NONE),
wenzelm@18728
  1038
  Args.$$$ introN -- Args.colon >> K (I, haz_intro NONE),
wenzelm@18728
  1039
  Args.del -- Args.colon >> K (I, rule_del)];
wenzelm@5927
  1040
wenzelm@7559
  1041
fun cla_meth tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@15036
  1042
  ALLGOALS (Method.insert_tac (prems @ facts)) THEN tac (local_claset_of ctxt));
wenzelm@7132
  1043
wenzelm@7559
  1044
fun cla_meth' tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@15036
  1045
  HEADGOAL (Method.insert_tac (prems @ facts) THEN' tac (local_claset_of ctxt)));
wenzelm@5841
  1046
wenzelm@7559
  1047
val cla_method = Method.bang_sectioned_args cla_modifiers o cla_meth;
wenzelm@7559
  1048
val cla_method' = Method.bang_sectioned_args cla_modifiers o cla_meth';
wenzelm@5841
  1049
wenzelm@5841
  1050
wenzelm@5841
  1051
wenzelm@5841
  1052
(** setup_methods **)
wenzelm@5841
  1053
wenzelm@5841
  1054
val setup_methods = Method.add_methods
wenzelm@12376
  1055
 [("default", Method.thms_ctxt_args default, "apply some intro/elim rule (potentially classical)"),
wenzelm@12376
  1056
  ("rule", Method.thms_ctxt_args rule, "apply some intro/elim rule (potentially classical)"),
wenzelm@6502
  1057
  ("contradiction", Method.no_args contradiction, "proof by contradiction"),
wenzelm@10821
  1058
  ("clarify", cla_method' (CHANGED_PROP oo clarify_tac), "repeatedly apply safe steps"),
wenzelm@7004
  1059
  ("fast", cla_method' fast_tac, "classical prover (depth-first)"),
wenzelm@9806
  1060
  ("slow", cla_method' slow_tac, "classical prover (slow depth-first)"),
wenzelm@9773
  1061
  ("best", cla_method' best_tac, "classical prover (best-first)"),
berghofe@18015
  1062
  ("deepen", cla_method' (fn cs => deepen_tac cs 4), "classical prover (iterative deepening)"),
wenzelm@10821
  1063
  ("safe", cla_method (CHANGED_PROP o safe_tac), "classical prover (apply safe rules)")];
wenzelm@5841
  1064
wenzelm@5841
  1065
wenzelm@5841
  1066
wenzelm@5841
  1067
(** theory setup **)
wenzelm@5841
  1068
wenzelm@18708
  1069
val setup = GlobalClaset.init #> LocalClaset.init #> setup_attrs #> setup_methods;
wenzelm@5841
  1070
wenzelm@5841
  1071
wenzelm@8667
  1072
wenzelm@8667
  1073
(** outer syntax **)
wenzelm@8667
  1074
wenzelm@8667
  1075
val print_clasetP =
wenzelm@8667
  1076
  OuterSyntax.improper_command "print_claset" "print context of Classical Reasoner"
wenzelm@17057
  1077
    OuterKeyword.diag
wenzelm@9513
  1078
    (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o (Toplevel.keep
wenzelm@20956
  1079
      (Toplevel.node_case
wenzelm@20956
  1080
        (Context.cases print_claset print_local_claset)
wenzelm@20956
  1081
        (print_local_claset o Proof.context_of)))));
wenzelm@8667
  1082
wenzelm@8667
  1083
val _ = OuterSyntax.add_parsers [print_clasetP];
wenzelm@8667
  1084
wenzelm@8667
  1085
wenzelm@5841
  1086
end;