src/Provers/classical.ML
author wenzelm
Tue Dec 04 18:10:49 2001 +0100 (2001-12-04)
changeset 12362 57cd572103c4
parent 12311 ce5f9e61c037
child 12376 480303e3fa08
permissions -rw-r--r--
made SML/NJ happy;
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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 addXIs addXEs addXDs 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 make_elim : thm -> thm    (* Tactic.make_elim or a classical version*)
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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: (* BLAST_DATA in blast.ML dependent on this *)
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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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                 xtraIs: thm list, xtraEs: 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, xtra_netpair: 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 addXDs            : claset * thm list -> claset
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  val addXEs            : claset * thm list -> claset
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  val addXIs            : 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 claset_ref_of_sg: Sign.sg -> claset ref
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  val claset_ref_of: theory -> claset ref
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  val claset_of_sg: Sign.sg -> claset
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  val claset_of: theory -> 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 claset: unit -> claset
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  val claset_ref: unit -> claset ref
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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 swap              : thm                 (* ~P ==> (~Q ==> P) ==> Q *)
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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 AddXDs            : thm list -> unit
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  val AddXEs            : thm list -> unit
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  val AddXIs            : 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 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_global: theory attribute
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  val safe_elim_global: theory attribute
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  val safe_intro_global: theory attribute
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  val haz_dest_global: theory attribute
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  val haz_elim_global: theory attribute
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  val haz_intro_global: theory attribute
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  val xtra_dest_global: theory attribute
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  val xtra_elim_global: theory attribute
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  val xtra_intro_global: theory attribute
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  val rule_del_global: theory attribute
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  val safe_dest_local: Proof.context attribute
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  val safe_elim_local: Proof.context attribute
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  val safe_intro_local: Proof.context attribute
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  val haz_dest_local: Proof.context attribute
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  val haz_elim_local: Proof.context attribute
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  val haz_intro_local: Proof.context attribute
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  val xtra_dest_local: Proof.context attribute
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  val xtra_elim_local: Proof.context attribute
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  val xtra_intro_local: Proof.context attribute
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  val rule_del_local: Proof.context 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) -> Args.src -> Proof.context -> Proof.method
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  val cla_method': (claset -> int -> tactic) -> Args.src -> Proof.context -> Proof.method
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  val setup: (theory -> theory) list
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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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(*** 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", Data.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", 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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(*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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  (case try
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      (rule_by_tactic (TRYALL (etac revcut_rl)))
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      (th RSN (2, revcut_rl) |> assumption 2 |> Seq.hd) of
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    Some th' => th'
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  | _ => error ("Bad format for elimination rule\n" ^ string_of_thm th));
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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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         xtraIs         : thm list,             (*extra introduction rules*)
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         xtraEs         : thm list,             (*extra elimination rules*)
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         swrappers      : (string * wrapper) list, (*for transf. 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   : 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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        xtra_netpair = build (joinrules(xtraIs, xtraEs))}
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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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     xtraIs     = [],
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     xtraEs     = [],
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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, xtraIs, xtraEs, ...}) =
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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 "extra introduction rules (intro?):" (pretty_thms xtraIs),
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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.big_list "extra elimination rules (elim?):" (pretty_thms xtraEs)]
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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 calc_wrap l tac = foldr (fn ((name,tacf),w) => tacf w) (l, tac);
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in
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  fun appSWrappers (CS{swrappers,...}) = calc_wrap swrappers;
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  fun appWrappers  (CS{uwrappers,...}) = calc_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 intr rules with swap to handle negated
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  assumptions.  Pairs elim rules with true. *)
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fun joinrules (intrs,elims) =
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    (map (pair true) (elims @ swapify intrs)  @
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     map (pair false) intrs);
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(*Priority: prefer rules with fewest subgoals,
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  then rules added most recently (preferring the head of the list).*)
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fun tag_brls k [] = []
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  | tag_brls k (brl::brls) =
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   311
      (1000000*subgoals_of_brl brl + k, brl) ::
lcp@1073
   312
      tag_brls (k+1) brls;
lcp@1073
   313
wenzelm@10736
   314
fun recover_order k = k mod 1000000;
wenzelm@10736
   315
paulson@1800
   316
fun insert_tagged_list kbrls netpr = foldr insert_tagged_brl (kbrls, netpr);
lcp@1073
   317
lcp@1073
   318
(*Insert into netpair that already has nI intr rules and nE elim rules.
lcp@1073
   319
  Count the intr rules double (to account for swapify).  Negate to give the
lcp@1073
   320
  new insertions the lowest priority.*)
lcp@1073
   321
fun insert (nI,nE) = insert_tagged_list o (tag_brls (~(2*nI+nE))) o joinrules;
lcp@1073
   322
paulson@1800
   323
fun delete_tagged_list brls netpr = foldr delete_tagged_brl (brls, netpr);
lcp@1073
   324
wenzelm@12362
   325
fun delete x = delete_tagged_list (joinrules x);
paulson@1800
   326
paulson@2813
   327
val mem_thm = gen_mem eq_thm
paulson@2813
   328
and rem_thm = gen_rem eq_thm;
paulson@2813
   329
paulson@1927
   330
(*Warn if the rule is already present ELSEWHERE in the claset.  The addition
paulson@1927
   331
  is still allowed.*)
wenzelm@10736
   332
fun warn_dup th (CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, ...}) =
wenzelm@10736
   333
       if mem_thm (th, safeIs) then
wenzelm@9938
   334
         warning ("Rule already declared as safe introduction (intro!)\n" ^ string_of_thm th)
paulson@2813
   335
  else if mem_thm (th, safeEs) then
wenzelm@9408
   336
         warning ("Rule already declared as safe elimination (elim!)\n" ^ string_of_thm th)
wenzelm@10736
   337
  else if mem_thm (th, hazIs) then
wenzelm@9760
   338
         warning ("Rule already declared as introduction (intro)\n" ^ string_of_thm th)
wenzelm@10736
   339
  else if mem_thm (th, hazEs) then
wenzelm@9760
   340
         warning ("Rule already declared as elimination (elim)\n" ^ string_of_thm th)
wenzelm@10736
   341
  else if mem_thm (th, xtraIs) then
wenzelm@9408
   342
         warning ("Rule already declared as extra introduction (intro?)\n" ^ string_of_thm th)
wenzelm@10736
   343
  else if mem_thm (th, xtraEs) then
wenzelm@9408
   344
         warning ("Rule already declared as extra elimination (elim?)\n" ^ string_of_thm th)
paulson@1927
   345
  else ();
paulson@1927
   346
paulson@1800
   347
(*** Safe rules ***)
lcp@982
   348
wenzelm@10736
   349
fun addSI (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   350
              safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   351
           th)  =
wenzelm@10736
   352
  if mem_thm (th, safeIs) then
wenzelm@9938
   353
         (warning ("Ignoring duplicate safe introduction (intro!)\n" ^ string_of_thm th);
wenzelm@9938
   354
          cs)
paulson@1927
   355
  else
lcp@1073
   356
  let val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
wenzelm@7559
   357
          partition Thm.no_prems [th]
paulson@1927
   358
      val nI = length safeIs + 1
lcp@1073
   359
      and nE = length safeEs
paulson@1927
   360
  in warn_dup th cs;
wenzelm@9938
   361
     CS{safeIs  = th::safeIs,
lcp@1073
   362
        safe0_netpair = insert (nI,nE) (safe0_rls, []) safe0_netpair,
wenzelm@9938
   363
        safep_netpair = insert (nI,nE) (safep_rls, []) safep_netpair,
wenzelm@9938
   364
        safeEs  = safeEs,
wenzelm@9938
   365
        hazIs   = hazIs,
wenzelm@9938
   366
        hazEs   = hazEs,
wenzelm@9938
   367
        xtraIs  = xtraIs,
wenzelm@9938
   368
        xtraEs  = xtraEs,
wenzelm@9938
   369
        swrappers    = swrappers,
wenzelm@9938
   370
        uwrappers    = uwrappers,
wenzelm@9938
   371
        haz_netpair  = haz_netpair,
wenzelm@9938
   372
        dup_netpair  = dup_netpair,
wenzelm@9938
   373
        xtra_netpair = xtra_netpair}
lcp@1073
   374
  end;
lcp@1073
   375
wenzelm@10736
   376
fun addSE (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   377
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   378
           th)  =
wenzelm@10736
   379
  if mem_thm (th, safeEs) then
wenzelm@9938
   380
         (warning ("Ignoring duplicate safe elimination (elim!)\n" ^ string_of_thm th);
wenzelm@9938
   381
          cs)
paulson@1927
   382
  else
lcp@1073
   383
  let val (safe0_rls, safep_rls) = (*0 subgoals vs 1 or more*)
paulson@1927
   384
          partition (fn rl => nprems_of rl=1) [th]
lcp@1073
   385
      val nI = length safeIs
paulson@1927
   386
      and nE = length safeEs + 1
paulson@1927
   387
  in warn_dup th cs;
wenzelm@9938
   388
     CS{safeEs  = th::safeEs,
lcp@1073
   389
        safe0_netpair = insert (nI,nE) ([], safe0_rls) safe0_netpair,
wenzelm@9938
   390
        safep_netpair = insert (nI,nE) ([], safep_rls) safep_netpair,
wenzelm@9938
   391
        safeIs  = safeIs,
wenzelm@9938
   392
        hazIs   = hazIs,
wenzelm@9938
   393
        hazEs   = hazEs,
wenzelm@9938
   394
        xtraIs  = xtraIs,
wenzelm@9938
   395
        xtraEs  = xtraEs,
wenzelm@9938
   396
        swrappers    = swrappers,
wenzelm@9938
   397
        uwrappers    = uwrappers,
wenzelm@9938
   398
        haz_netpair  = haz_netpair,
wenzelm@9938
   399
        dup_netpair  = dup_netpair,
wenzelm@9938
   400
        xtra_netpair = xtra_netpair}
lcp@1073
   401
  end;
clasohm@0
   402
paulson@1927
   403
fun rev_foldl f (e, l) = foldl f (e, rev l);
paulson@1927
   404
paulson@1927
   405
val op addSIs = rev_foldl addSI;
paulson@1927
   406
val op addSEs = rev_foldl addSE;
paulson@1927
   407
wenzelm@9938
   408
fun cs addSDs ths = cs addSEs (map Data.make_elim ths);
clasohm@0
   409
lcp@1073
   410
paulson@1800
   411
(*** Hazardous (unsafe) rules ***)
clasohm@0
   412
wenzelm@10736
   413
fun addI (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   414
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   415
          th)=
wenzelm@10736
   416
  if mem_thm (th, hazIs) then
wenzelm@9938
   417
         (warning ("Ignoring duplicate introduction (intro)\n" ^ string_of_thm th);
wenzelm@9938
   418
          cs)
paulson@1927
   419
  else
paulson@1927
   420
  let val nI = length hazIs + 1
lcp@1073
   421
      and nE = length hazEs
paulson@1927
   422
  in warn_dup th cs;
wenzelm@9938
   423
     CS{hazIs   = th::hazIs,
wenzelm@9938
   424
        haz_netpair = insert (nI,nE) ([th], []) haz_netpair,
wenzelm@9938
   425
        dup_netpair = insert (nI,nE) (map dup_intr [th], []) dup_netpair,
wenzelm@10736
   426
        safeIs  = safeIs,
wenzelm@9938
   427
        safeEs  = safeEs,
wenzelm@9938
   428
        hazEs   = hazEs,
wenzelm@9938
   429
        xtraIs  = xtraIs,
wenzelm@9938
   430
        xtraEs  = xtraEs,
wenzelm@9938
   431
        swrappers     = swrappers,
wenzelm@9938
   432
        uwrappers     = uwrappers,
wenzelm@9938
   433
        safe0_netpair = safe0_netpair,
wenzelm@9938
   434
        safep_netpair = safep_netpair,
wenzelm@9938
   435
        xtra_netpair = xtra_netpair}
lcp@1073
   436
  end;
lcp@1073
   437
wenzelm@10736
   438
fun addE (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   439
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   440
          th) =
wenzelm@10736
   441
  if mem_thm (th, hazEs) then
wenzelm@9938
   442
         (warning ("Ignoring duplicate elimination (elim)\n" ^ string_of_thm th);
wenzelm@9938
   443
          cs)
paulson@1927
   444
  else
wenzelm@10736
   445
  let val nI = length hazIs
paulson@1927
   446
      and nE = length hazEs + 1
paulson@1927
   447
  in warn_dup th cs;
wenzelm@9938
   448
     CS{hazEs   = th::hazEs,
wenzelm@9938
   449
        haz_netpair = insert (nI,nE) ([], [th]) haz_netpair,
wenzelm@9938
   450
        dup_netpair = insert (nI,nE) ([], map dup_elim [th]) dup_netpair,
wenzelm@10736
   451
        safeIs  = safeIs,
wenzelm@9938
   452
        safeEs  = safeEs,
wenzelm@9938
   453
        hazIs   = hazIs,
wenzelm@9938
   454
        xtraIs  = xtraIs,
wenzelm@9938
   455
        xtraEs  = xtraEs,
wenzelm@9938
   456
        swrappers     = swrappers,
wenzelm@9938
   457
        uwrappers     = uwrappers,
wenzelm@9938
   458
        safe0_netpair = safe0_netpair,
wenzelm@9938
   459
        safep_netpair = safep_netpair,
wenzelm@9938
   460
        xtra_netpair = xtra_netpair}
lcp@1073
   461
  end;
clasohm@0
   462
paulson@1927
   463
val op addIs = rev_foldl addI;
paulson@1927
   464
val op addEs = rev_foldl addE;
paulson@1927
   465
wenzelm@9938
   466
fun cs addDs ths = cs addEs (map Data.make_elim ths);
clasohm@0
   467
lcp@1073
   468
wenzelm@6955
   469
(*** Extra (single step) rules ***)
wenzelm@6955
   470
wenzelm@6955
   471
fun addXI (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   472
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   473
          th)=
wenzelm@10736
   474
  if mem_thm (th, xtraIs) then
wenzelm@9938
   475
         (warning ("Ignoring duplicate extra introduction (intro?)\n" ^ string_of_thm th);
wenzelm@9938
   476
          cs)
wenzelm@6955
   477
  else
wenzelm@6955
   478
  let val nI = length xtraIs + 1
wenzelm@6955
   479
      and nE = length xtraEs
wenzelm@6955
   480
  in warn_dup th cs;
wenzelm@9938
   481
     CS{xtraIs  = th::xtraIs,
wenzelm@9938
   482
        xtra_netpair = insert (nI,nE) ([th], []) xtra_netpair,
wenzelm@10736
   483
        safeIs  = safeIs,
wenzelm@9938
   484
        safeEs  = safeEs,
wenzelm@9938
   485
        hazIs   = hazIs,
wenzelm@9938
   486
        hazEs   = hazEs,
wenzelm@9938
   487
        xtraEs  = xtraEs,
wenzelm@9938
   488
        swrappers     = swrappers,
wenzelm@9938
   489
        uwrappers     = uwrappers,
wenzelm@9938
   490
        safe0_netpair = safe0_netpair,
wenzelm@9938
   491
        safep_netpair = safep_netpair,
wenzelm@9938
   492
        haz_netpair  = haz_netpair,
wenzelm@9938
   493
        dup_netpair  = dup_netpair}
wenzelm@6955
   494
  end;
wenzelm@6955
   495
wenzelm@10736
   496
fun addXE (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   497
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair},
wenzelm@9938
   498
          th) =
wenzelm@6955
   499
  if mem_thm (th, xtraEs) then
wenzelm@9938
   500
         (warning ("Ignoring duplicate extra elimination (elim?)\n" ^ string_of_thm th);
wenzelm@9938
   501
          cs)
wenzelm@6955
   502
  else
wenzelm@10736
   503
  let val nI = length xtraIs
wenzelm@6955
   504
      and nE = length xtraEs + 1
wenzelm@6955
   505
  in warn_dup th cs;
wenzelm@9938
   506
     CS{xtraEs  = th::xtraEs,
wenzelm@9938
   507
        xtra_netpair = insert (nI,nE) ([], [th]) xtra_netpair,
wenzelm@10736
   508
        safeIs  = safeIs,
wenzelm@9938
   509
        safeEs  = safeEs,
wenzelm@9938
   510
        hazIs   = hazIs,
wenzelm@9938
   511
        hazEs   = hazEs,
wenzelm@9938
   512
        xtraIs  = xtraIs,
wenzelm@9938
   513
        swrappers     = swrappers,
wenzelm@9938
   514
        uwrappers     = uwrappers,
wenzelm@9938
   515
        safe0_netpair = safe0_netpair,
wenzelm@9938
   516
        safep_netpair = safep_netpair,
wenzelm@9938
   517
        haz_netpair  = haz_netpair,
wenzelm@9938
   518
        dup_netpair  = dup_netpair}
wenzelm@6955
   519
  end;
wenzelm@6955
   520
wenzelm@6955
   521
val op addXIs = rev_foldl addXI;
wenzelm@6955
   522
val op addXEs = rev_foldl addXE;
wenzelm@6955
   523
wenzelm@9938
   524
fun cs addXDs ths = cs addXEs (map Data.make_elim ths);
wenzelm@6955
   525
wenzelm@6955
   526
wenzelm@10736
   527
(*** Deletion of rules
paulson@1800
   528
     Working out what to delete, requires repeating much of the code used
wenzelm@9938
   529
        to insert.
paulson@1927
   530
     Separate functions delSI, etc., are not exported; instead delrules
paulson@2813
   531
        searches in all the lists and chooses the relevant delXX functions.
paulson@1800
   532
***)
paulson@1800
   533
wenzelm@10736
   534
fun delSI th
wenzelm@6955
   535
          (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   536
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
paulson@2813
   537
 if mem_thm (th, safeIs) then
wenzelm@7559
   538
   let val (safe0_rls, safep_rls) = partition Thm.no_prems [th]
paulson@2813
   539
   in CS{safe0_netpair = delete (safe0_rls, []) safe0_netpair,
wenzelm@9938
   540
         safep_netpair = delete (safep_rls, []) safep_netpair,
wenzelm@9938
   541
         safeIs = rem_thm (safeIs,th),
wenzelm@9938
   542
         safeEs = safeEs,
wenzelm@9938
   543
         hazIs  = hazIs,
wenzelm@9938
   544
         hazEs  = hazEs,
wenzelm@9938
   545
         xtraIs = xtraIs,
wenzelm@9938
   546
         xtraEs = xtraEs,
wenzelm@9938
   547
         swrappers    = swrappers,
wenzelm@9938
   548
         uwrappers    = uwrappers,
wenzelm@9938
   549
         haz_netpair  = haz_netpair,
wenzelm@9938
   550
         dup_netpair  = dup_netpair,
wenzelm@9938
   551
         xtra_netpair = xtra_netpair}
paulson@2813
   552
   end
paulson@2813
   553
 else cs;
paulson@1800
   554
paulson@2813
   555
fun delSE th
wenzelm@10736
   556
          (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   557
                    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
paulson@2813
   558
 if mem_thm (th, safeEs) then
paulson@2813
   559
   let val (safe0_rls, safep_rls) = partition (fn rl => nprems_of rl=1) [th]
paulson@2813
   560
   in CS{safe0_netpair = delete ([], safe0_rls) safe0_netpair,
wenzelm@9938
   561
         safep_netpair = delete ([], safep_rls) safep_netpair,
wenzelm@9938
   562
         safeIs = safeIs,
wenzelm@9938
   563
         safeEs = rem_thm (safeEs,th),
wenzelm@9938
   564
         hazIs  = hazIs,
wenzelm@9938
   565
         hazEs  = hazEs,
wenzelm@9938
   566
         xtraIs = xtraIs,
wenzelm@9938
   567
         xtraEs = xtraEs,
wenzelm@9938
   568
         swrappers    = swrappers,
wenzelm@9938
   569
         uwrappers    = uwrappers,
wenzelm@9938
   570
         haz_netpair  = haz_netpair,
wenzelm@9938
   571
         dup_netpair  = dup_netpair,
wenzelm@9938
   572
         xtra_netpair = xtra_netpair}
paulson@2813
   573
   end
paulson@2813
   574
 else cs;
paulson@1800
   575
paulson@1800
   576
paulson@2813
   577
fun delI th
wenzelm@10736
   578
         (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   579
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
paulson@2813
   580
 if mem_thm (th, hazIs) then
paulson@2813
   581
     CS{haz_netpair = delete ([th], []) haz_netpair,
wenzelm@9938
   582
        dup_netpair = delete ([dup_intr th], []) dup_netpair,
wenzelm@10736
   583
        safeIs  = safeIs,
wenzelm@9938
   584
        safeEs  = safeEs,
wenzelm@9938
   585
        hazIs   = rem_thm (hazIs,th),
wenzelm@9938
   586
        hazEs   = hazEs,
wenzelm@9938
   587
        xtraIs  = xtraIs,
wenzelm@9938
   588
        xtraEs  = xtraEs,
wenzelm@9938
   589
        swrappers     = swrappers,
wenzelm@9938
   590
        uwrappers     = uwrappers,
wenzelm@9938
   591
        safe0_netpair = safe0_netpair,
wenzelm@9938
   592
        safep_netpair = safep_netpair,
wenzelm@9938
   593
        xtra_netpair = xtra_netpair}
paulson@2813
   594
 else cs;
paulson@1800
   595
paulson@2813
   596
fun delE th
wenzelm@10736
   597
         (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   598
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
paulson@2813
   599
 if mem_thm (th, hazEs) then
paulson@2813
   600
     CS{haz_netpair = delete ([], [th]) haz_netpair,
wenzelm@9938
   601
        dup_netpair = delete ([], [dup_elim th]) dup_netpair,
wenzelm@10736
   602
        safeIs  = safeIs,
wenzelm@9938
   603
        safeEs  = safeEs,
wenzelm@9938
   604
        hazIs   = hazIs,
wenzelm@9938
   605
        hazEs   = rem_thm (hazEs,th),
wenzelm@9938
   606
        xtraIs  = xtraIs,
wenzelm@9938
   607
        xtraEs  = xtraEs,
wenzelm@9938
   608
        swrappers     = swrappers,
wenzelm@9938
   609
        uwrappers     = uwrappers,
wenzelm@9938
   610
        safe0_netpair = safe0_netpair,
wenzelm@9938
   611
        safep_netpair = safep_netpair,
wenzelm@9938
   612
        xtra_netpair = xtra_netpair}
wenzelm@6955
   613
 else cs;
wenzelm@6955
   614
wenzelm@6955
   615
wenzelm@6955
   616
fun delXI th
wenzelm@10736
   617
         (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   618
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@6955
   619
 if mem_thm (th, xtraIs) then
wenzelm@6955
   620
     CS{xtra_netpair = delete ([th], []) xtra_netpair,
wenzelm@10736
   621
        safeIs  = safeIs,
wenzelm@9938
   622
        safeEs  = safeEs,
wenzelm@9938
   623
        hazIs   = hazIs,
wenzelm@9938
   624
        hazEs   = hazEs,
wenzelm@9938
   625
        xtraIs  = rem_thm (xtraIs,th),
wenzelm@9938
   626
        xtraEs  = xtraEs,
wenzelm@9938
   627
        swrappers     = swrappers,
wenzelm@9938
   628
        uwrappers     = uwrappers,
wenzelm@9938
   629
        safe0_netpair = safe0_netpair,
wenzelm@9938
   630
        safep_netpair = safep_netpair,
wenzelm@9938
   631
        haz_netpair  = haz_netpair,
wenzelm@9938
   632
        dup_netpair  = dup_netpair}
wenzelm@6955
   633
 else cs;
wenzelm@6955
   634
wenzelm@6955
   635
fun delXE th
wenzelm@10736
   636
         (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@9938
   637
                   safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) =
wenzelm@6955
   638
 if mem_thm (th, xtraEs) then
wenzelm@6955
   639
     CS{xtra_netpair = delete ([], [th]) xtra_netpair,
wenzelm@10736
   640
        safeIs  = safeIs,
wenzelm@9938
   641
        safeEs  = safeEs,
wenzelm@9938
   642
        hazIs   = hazIs,
wenzelm@9938
   643
        hazEs   = hazEs,
wenzelm@9938
   644
        xtraIs  = xtraIs,
wenzelm@9938
   645
        xtraEs  = rem_thm (xtraEs,th),
wenzelm@9938
   646
        swrappers     = swrappers,
wenzelm@9938
   647
        uwrappers     = uwrappers,
wenzelm@9938
   648
        safe0_netpair = safe0_netpair,
wenzelm@9938
   649
        safep_netpair = safep_netpair,
wenzelm@9938
   650
        haz_netpair  = haz_netpair,
wenzelm@9938
   651
        dup_netpair  = dup_netpair}
paulson@2813
   652
 else cs;
paulson@1800
   653
paulson@2813
   654
(*Delete ALL occurrences of "th" in the claset (perhaps from several lists)*)
wenzelm@6955
   655
fun delrule (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, ...}, th) =
wenzelm@9938
   656
  let val th' = Data.make_elim th in
wenzelm@9938
   657
    if mem_thm (th, safeIs) orelse mem_thm (th, safeEs) orelse
wenzelm@9938
   658
      mem_thm (th, hazIs)  orelse mem_thm (th, hazEs) orelse
wenzelm@9938
   659
      mem_thm (th, xtraIs)  orelse mem_thm (th, xtraEs) orelse
wenzelm@9938
   660
      mem_thm (th', safeEs) orelse mem_thm (th', hazEs) orelse mem_thm (th', xtraEs)
wenzelm@9938
   661
    then delSI th (delSE th (delI th (delE th (delXI th (delXE th
wenzelm@9938
   662
      (delSE th' (delE th' (delXE th' cs))))))))
wenzelm@9938
   663
    else (warning ("Undeclared classical rule\n" ^ (string_of_thm th)); cs)
wenzelm@9938
   664
  end;
paulson@1800
   665
paulson@1800
   666
val op delrules = foldl delrule;
paulson@1800
   667
paulson@1800
   668
oheimb@4767
   669
(*** Modifying the wrapper tacticals ***)
wenzelm@10736
   670
fun update_swrappers
wenzelm@10736
   671
(CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@6955
   672
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   673
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
wenzelm@6955
   674
    xtraIs = xtraIs, xtraEs = xtraEs,
oheimb@4767
   675
    swrappers = f swrappers, uwrappers = uwrappers,
oheimb@4767
   676
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   677
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   678
wenzelm@10736
   679
fun update_uwrappers
wenzelm@10736
   680
(CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, swrappers, uwrappers,
wenzelm@6955
   681
    safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair}) f =
oheimb@4767
   682
 CS{safeIs = safeIs, safeEs = safeEs, hazIs = hazIs, hazEs = hazEs,
wenzelm@6955
   683
    xtraIs = xtraIs, xtraEs = xtraEs,
oheimb@4767
   684
    swrappers = swrappers, uwrappers = f uwrappers,
oheimb@4767
   685
    safe0_netpair = safe0_netpair, safep_netpair = safep_netpair,
wenzelm@6955
   686
    haz_netpair = haz_netpair, dup_netpair = dup_netpair, xtra_netpair = xtra_netpair};
oheimb@4767
   687
lcp@982
   688
oheimb@4651
   689
(*Add/replace a safe wrapper*)
oheimb@4767
   690
fun cs addSWrapper new_swrapper = update_swrappers cs (fn swrappers =>
nipkow@9721
   691
    overwrite_warn (swrappers, new_swrapper)
nipkow@9721
   692
       ("Overwriting safe wrapper " ^ fst new_swrapper));
oheimb@4651
   693
oheimb@4651
   694
(*Add/replace an unsafe wrapper*)
oheimb@4767
   695
fun cs addWrapper new_uwrapper = update_uwrappers cs (fn uwrappers =>
nipkow@9721
   696
    overwrite_warn (uwrappers, new_uwrapper)
wenzelm@9938
   697
        ("Overwriting unsafe wrapper "^fst new_uwrapper));
lcp@982
   698
oheimb@4651
   699
(*Remove a safe wrapper*)
oheimb@4767
   700
fun cs delSWrapper name = update_swrappers cs (fn swrappers =>
oheimb@4767
   701
    let val (del,rest) = partition (fn (n,_) => n=name) swrappers
wenzelm@10736
   702
    in if null del then (warning ("No such safe wrapper in claset: "^ name);
wenzelm@9938
   703
                         swrappers) else rest end);
lcp@982
   704
oheimb@4651
   705
(*Remove an unsafe wrapper*)
oheimb@4767
   706
fun cs delWrapper name = update_uwrappers cs (fn uwrappers =>
oheimb@4767
   707
    let val (del,rest) = partition (fn (n,_) => n=name) uwrappers
oheimb@4767
   708
    in if null del then (warning ("No such unsafe wrapper in claset: " ^ name);
oheimb@4767
   709
                         uwrappers) else rest end);
lcp@982
   710
oheimb@11168
   711
(* compose a safe tactic alternatively before/after safe_step_tac *)
wenzelm@10736
   712
fun cs addSbefore  (name,    tac1) =
oheimb@5523
   713
    cs addSWrapper (name, fn tac2 => tac1 ORELSE' tac2);
oheimb@11181
   714
fun cs addSafter   (name,    tac2) =
oheimb@5523
   715
    cs addSWrapper (name, fn tac1 => tac1 ORELSE' tac2);
lcp@982
   716
oheimb@11168
   717
(*compose a tactic alternatively before/after the step tactic *)
wenzelm@10736
   718
fun cs addbefore   (name,    tac1) =
oheimb@5523
   719
    cs addWrapper  (name, fn tac2 => tac1 APPEND' tac2);
oheimb@11181
   720
fun cs addafter    (name,    tac2) =
oheimb@5523
   721
    cs addWrapper  (name, fn tac1 => tac1 APPEND' tac2);
oheimb@4767
   722
wenzelm@10736
   723
fun cs addD2     (name, thm) =
oheimb@11181
   724
    cs addafter  (name, datac thm 1);
wenzelm@10736
   725
fun cs addE2     (name, thm) =
oheimb@11181
   726
    cs addafter  (name, eatac thm 1);
oheimb@11181
   727
fun cs addSD2    (name, thm) =
oheimb@11181
   728
    cs addSafter (name, dmatch_tac [thm] THEN' eq_assume_tac);
oheimb@11181
   729
fun cs addSE2    (name, thm) =
oheimb@11181
   730
    cs addSafter (name, ematch_tac [thm] THEN' eq_assume_tac);
lcp@982
   731
paulson@1711
   732
(*Merge works by adding all new rules of the 2nd claset into the 1st claset.
paulson@1711
   733
  Merging the term nets may look more efficient, but the rather delicate
paulson@1711
   734
  treatment of priority might get muddled up.*)
paulson@1711
   735
fun merge_cs
wenzelm@6955
   736
    (cs as CS{safeIs, safeEs, hazIs, hazEs, xtraIs, xtraEs, ...},
oheimb@4765
   737
     CS{safeIs=safeIs2, safeEs=safeEs2, hazIs=hazIs2, hazEs=hazEs2,
wenzelm@9938
   738
        xtraIs=xtraIs2, xtraEs=xtraEs2, swrappers, uwrappers, ...}) =
paulson@1711
   739
  let val safeIs' = gen_rems eq_thm (safeIs2,safeIs)
paulson@1711
   740
      val safeEs' = gen_rems eq_thm (safeEs2,safeEs)
oheimb@2630
   741
      val  hazIs' = gen_rems eq_thm ( hazIs2, hazIs)
oheimb@2630
   742
      val  hazEs' = gen_rems eq_thm ( hazEs2, hazEs)
wenzelm@6955
   743
      val xtraIs' = gen_rems eq_thm (xtraIs2, xtraIs)
wenzelm@6955
   744
      val xtraEs' = gen_rems eq_thm (xtraEs2, xtraEs)
oheimb@4767
   745
      val cs1   = cs addSIs safeIs'
wenzelm@9938
   746
                     addSEs safeEs'
wenzelm@9938
   747
                     addIs  hazIs'
wenzelm@9938
   748
                     addEs  hazEs'
wenzelm@9938
   749
                     addXIs xtraIs'
wenzelm@9938
   750
                     addXEs xtraEs'
oheimb@4767
   751
      val cs2 = update_swrappers cs1 (fn ws => merge_alists ws swrappers);
oheimb@4767
   752
      val cs3 = update_uwrappers cs2 (fn ws => merge_alists ws uwrappers);
wenzelm@10736
   753
  in cs3
paulson@1711
   754
  end;
paulson@1711
   755
lcp@982
   756
paulson@1800
   757
(**** Simple tactics for theorem proving ****)
clasohm@0
   758
clasohm@0
   759
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   760
fun safe_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   761
  appSWrappers cs (FIRST' [
wenzelm@9938
   762
        eq_assume_tac,
wenzelm@9938
   763
        eq_mp_tac,
wenzelm@9938
   764
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   765
        FIRST' hyp_subst_tacs,
wenzelm@9938
   766
        bimatch_from_nets_tac safep_netpair]);
clasohm@0
   767
oheimb@5757
   768
(*Repeatedly attack a subgoal using safe inferences -- it's deterministic!*)
wenzelm@10736
   769
fun safe_steps_tac cs = REPEAT_DETERM1 o
wenzelm@9938
   770
        (fn i => COND (has_fewer_prems i) no_tac (safe_step_tac cs i));
oheimb@5757
   771
clasohm@0
   772
(*Repeatedly attack subgoals using safe inferences -- it's deterministic!*)
oheimb@5757
   773
fun safe_tac cs = REPEAT_DETERM1 (FIRSTGOAL (safe_steps_tac cs));
lcp@747
   774
paulson@3705
   775
paulson@3705
   776
(*** Clarify_tac: do safe steps without causing branching ***)
paulson@3705
   777
paulson@3705
   778
fun nsubgoalsP n (k,brl) = (subgoals_of_brl brl = n);
paulson@3705
   779
paulson@3705
   780
(*version of bimatch_from_nets_tac that only applies rules that
paulson@3705
   781
  create precisely n subgoals.*)
wenzelm@10736
   782
fun n_bimatch_from_nets_tac n =
wenzelm@11783
   783
    biresolution_from_nets_tac (Tactic.orderlist o filter (nsubgoalsP n)) true;
paulson@3705
   784
paulson@3705
   785
fun eq_contr_tac i = ematch_tac [not_elim] i  THEN  eq_assume_tac i;
paulson@3705
   786
val eq_assume_contr_tac = eq_assume_tac ORELSE' eq_contr_tac;
paulson@3705
   787
paulson@3705
   788
(*Two-way branching is allowed only if one of the branches immediately closes*)
paulson@3705
   789
fun bimatch2_tac netpair i =
paulson@3705
   790
    n_bimatch_from_nets_tac 2 netpair i THEN
paulson@3705
   791
    (eq_assume_contr_tac i ORELSE eq_assume_contr_tac (i+1));
paulson@3705
   792
paulson@3705
   793
(*Attack subgoals using safe inferences -- matching, not resolution*)
wenzelm@10736
   794
fun clarify_step_tac (cs as CS{safe0_netpair,safep_netpair,...}) =
oheimb@4651
   795
  appSWrappers cs (FIRST' [
wenzelm@9938
   796
        eq_assume_contr_tac,
wenzelm@9938
   797
        bimatch_from_nets_tac safe0_netpair,
wenzelm@9938
   798
        FIRST' hyp_subst_tacs,
wenzelm@9938
   799
        n_bimatch_from_nets_tac 1 safep_netpair,
paulson@3705
   800
        bimatch2_tac safep_netpair]);
paulson@3705
   801
paulson@3705
   802
fun clarify_tac cs = SELECT_GOAL (REPEAT_DETERM (clarify_step_tac cs 1));
paulson@3705
   803
paulson@3705
   804
paulson@3705
   805
(*** Unsafe steps instantiate variables or lose information ***)
paulson@3705
   806
paulson@4066
   807
(*Backtracking is allowed among the various these unsafe ways of
paulson@4066
   808
  proving a subgoal.  *)
lcp@747
   809
fun inst0_step_tac (CS{safe0_netpair,safep_netpair,...}) =
wenzelm@10736
   810
  assume_tac                      APPEND'
wenzelm@10736
   811
  contr_tac                       APPEND'
lcp@747
   812
  biresolve_from_nets_tac safe0_netpair;
lcp@747
   813
paulson@4066
   814
(*These unsafe steps could generate more subgoals.*)
lcp@747
   815
fun instp_step_tac (CS{safep_netpair,...}) =
lcp@747
   816
  biresolve_from_nets_tac safep_netpair;
clasohm@0
   817
clasohm@0
   818
(*These steps could instantiate variables and are therefore unsafe.*)
lcp@747
   819
fun inst_step_tac cs = inst0_step_tac cs APPEND' instp_step_tac cs;
clasohm@0
   820
wenzelm@10736
   821
fun haz_step_tac (CS{haz_netpair,...}) =
lcp@681
   822
  biresolve_from_nets_tac haz_netpair;
lcp@681
   823
clasohm@0
   824
(*Single step for the prover.  FAILS unless it makes progress. *)
wenzelm@10736
   825
fun step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   826
        (inst_step_tac cs ORELSE' haz_step_tac cs) i;
clasohm@0
   827
clasohm@0
   828
(*Using a "safe" rule to instantiate variables is unsafe.  This tactic
clasohm@0
   829
  allows backtracking from "safe" rules to "unsafe" rules here.*)
wenzelm@10736
   830
fun slow_step_tac cs i = safe_tac cs ORELSE appWrappers cs
wenzelm@9938
   831
        (inst_step_tac cs APPEND' haz_step_tac cs) i;
clasohm@0
   832
paulson@1800
   833
(**** The following tactics all fail unless they solve one goal ****)
clasohm@0
   834
clasohm@0
   835
(*Dumb but fast*)
wenzelm@10382
   836
fun fast_tac cs =
wenzelm@11754
   837
  ObjectLogic.atomize_tac THEN' SELECT_GOAL (DEPTH_SOLVE (step_tac cs 1));
clasohm@0
   838
clasohm@0
   839
(*Slower but smarter than fast_tac*)
wenzelm@10382
   840
fun best_tac cs =
wenzelm@11754
   841
  ObjectLogic.atomize_tac THEN'
clasohm@0
   842
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (step_tac cs 1));
clasohm@0
   843
oheimb@9402
   844
(*even a bit smarter than best_tac*)
wenzelm@10382
   845
fun first_best_tac cs =
wenzelm@11754
   846
  ObjectLogic.atomize_tac THEN'
oheimb@9402
   847
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (FIRSTGOAL (step_tac cs)));
oheimb@9402
   848
wenzelm@10382
   849
fun slow_tac cs =
wenzelm@11754
   850
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   851
  SELECT_GOAL (DEPTH_SOLVE (slow_step_tac cs 1));
clasohm@0
   852
wenzelm@10382
   853
fun slow_best_tac cs =
wenzelm@11754
   854
  ObjectLogic.atomize_tac THEN'
clasohm@0
   855
  SELECT_GOAL (BEST_FIRST (has_fewer_prems 1, sizef) (slow_step_tac cs 1));
clasohm@0
   856
lcp@681
   857
wenzelm@10736
   858
(***ASTAR with weight weight_ASTAR, by Norbert Voelker*)
wenzelm@10736
   859
val weight_ASTAR = ref 5;
paulson@1587
   860
wenzelm@10382
   861
fun astar_tac cs =
wenzelm@11754
   862
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   863
  SELECT_GOAL
wenzelm@10382
   864
    (ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + !weight_ASTAR * lev)
wenzelm@10382
   865
      (step_tac cs 1));
paulson@1587
   866
wenzelm@10736
   867
fun slow_astar_tac cs =
wenzelm@11754
   868
  ObjectLogic.atomize_tac THEN'
wenzelm@10382
   869
  SELECT_GOAL
wenzelm@10382
   870
    (ASTAR (has_fewer_prems 1, fn lev => fn thm => size_of_thm thm + !weight_ASTAR * lev)
wenzelm@10382
   871
      (slow_step_tac cs 1));
paulson@1587
   872
paulson@1800
   873
(**** Complete tactic, loosely based upon LeanTaP.  This tactic is the outcome
lcp@747
   874
  of much experimentation!  Changing APPEND to ORELSE below would prove
lcp@747
   875
  easy theorems faster, but loses completeness -- and many of the harder
paulson@1800
   876
  theorems such as 43. ****)
lcp@681
   877
lcp@747
   878
(*Non-deterministic!  Could always expand the first unsafe connective.
lcp@747
   879
  That's hard to implement and did not perform better in experiments, due to
lcp@747
   880
  greater search depth required.*)
wenzelm@10736
   881
fun dup_step_tac (cs as (CS{dup_netpair,...})) =
lcp@681
   882
  biresolve_from_nets_tac dup_netpair;
lcp@681
   883
oheimb@5523
   884
(*Searching to depth m. A variant called nodup_depth_tac appears in clasimp.ML*)
oheimb@5757
   885
local
wenzelm@10736
   886
fun slow_step_tac' cs = appWrappers cs
wenzelm@9938
   887
        (instp_step_tac cs APPEND' dup_step_tac cs);
wenzelm@10736
   888
in fun depth_tac cs m i state = SELECT_GOAL
wenzelm@10736
   889
   (safe_steps_tac cs 1 THEN_ELSE
wenzelm@9938
   890
        (DEPTH_SOLVE (depth_tac cs m 1),
wenzelm@9938
   891
         inst0_step_tac cs 1 APPEND COND (K (m=0)) no_tac
wenzelm@9938
   892
                (slow_step_tac' cs 1 THEN DEPTH_SOLVE (depth_tac cs (m-1) 1))
oheimb@5757
   893
        )) i state;
oheimb@5757
   894
end;
lcp@747
   895
wenzelm@10736
   896
(*Search, with depth bound m.
paulson@2173
   897
  This is the "entry point", which does safe inferences first.*)
wenzelm@10736
   898
fun safe_depth_tac cs m =
wenzelm@10736
   899
  SUBGOAL
lcp@681
   900
    (fn (prem,i) =>
lcp@681
   901
      let val deti =
wenzelm@9938
   902
          (*No Vars in the goal?  No need to backtrack between goals.*)
wenzelm@9938
   903
          case term_vars prem of
wenzelm@10736
   904
              []        => DETERM
wenzelm@9938
   905
            | _::_      => I
wenzelm@10736
   906
      in  SELECT_GOAL (TRY (safe_tac cs) THEN
wenzelm@9938
   907
                       DEPTH_SOLVE (deti (depth_tac cs m 1))) i
lcp@747
   908
      end);
lcp@681
   909
paulson@2868
   910
fun deepen_tac cs = DEEPEN (2,10) (safe_depth_tac cs);
lcp@681
   911
wenzelm@4079
   912
berghofe@1724
   913
wenzelm@4079
   914
(** claset theory data **)
wenzelm@4079
   915
wenzelm@7354
   916
(* theory data kind 'Provers/claset' *)
berghofe@1724
   917
wenzelm@7354
   918
structure GlobalClasetArgs =
wenzelm@7354
   919
struct
wenzelm@7354
   920
  val name = "Provers/claset";
wenzelm@7354
   921
  type T = claset ref;
wenzelm@4079
   922
wenzelm@7354
   923
  val empty = ref empty_cs;
wenzelm@7354
   924
  fun copy (ref cs) = (ref cs): T;            (*create new reference!*)
wenzelm@6556
   925
  val prep_ext = copy;
wenzelm@7354
   926
  fun merge (ref cs1, ref cs2) = ref (merge_cs (cs1, cs2));
wenzelm@7354
   927
  fun print _ (ref cs) = print_cs cs;
wenzelm@7354
   928
end;
berghofe@1724
   929
wenzelm@7354
   930
structure GlobalClaset = TheoryDataFun(GlobalClasetArgs);
wenzelm@7354
   931
val print_claset = GlobalClaset.print;
wenzelm@7354
   932
val claset_ref_of_sg = GlobalClaset.get_sg;
wenzelm@7354
   933
val claset_ref_of = GlobalClaset.get;
wenzelm@4079
   934
berghofe@1724
   935
wenzelm@4079
   936
(* access claset *)
berghofe@1724
   937
wenzelm@4079
   938
val claset_of_sg = ! o claset_ref_of_sg;
wenzelm@6391
   939
val claset_of = claset_of_sg o Theory.sign_of;
paulson@1800
   940
wenzelm@6391
   941
fun CLASET tacf state = tacf (claset_of_sg (Thm.sign_of_thm state)) state;
wenzelm@6391
   942
fun CLASET' tacf i state = tacf (claset_of_sg (Thm.sign_of_thm state)) i state;
paulson@3705
   943
wenzelm@5028
   944
val claset = claset_of o Context.the_context;
wenzelm@6391
   945
val claset_ref = claset_ref_of_sg o Theory.sign_of o Context.the_context;
wenzelm@4079
   946
paulson@3705
   947
wenzelm@4079
   948
(* change claset *)
paulson@1800
   949
wenzelm@4079
   950
fun change_claset f x = claset_ref () := (f (claset (), x));
berghofe@1724
   951
wenzelm@4079
   952
val AddDs = change_claset (op addDs);
wenzelm@4079
   953
val AddEs = change_claset (op addEs);
wenzelm@4079
   954
val AddIs = change_claset (op addIs);
wenzelm@4079
   955
val AddSDs = change_claset (op addSDs);
wenzelm@4079
   956
val AddSEs = change_claset (op addSEs);
wenzelm@4079
   957
val AddSIs = change_claset (op addSIs);
wenzelm@6955
   958
val AddXDs = change_claset (op addXDs);
wenzelm@6955
   959
val AddXEs = change_claset (op addXEs);
wenzelm@6955
   960
val AddXIs = change_claset (op addXIs);
wenzelm@4079
   961
val Delrules = change_claset (op delrules);
paulson@3727
   962
wenzelm@4079
   963
wenzelm@5841
   964
(* proof data kind 'Provers/claset' *)
wenzelm@5841
   965
wenzelm@5841
   966
structure LocalClasetArgs =
wenzelm@5841
   967
struct
wenzelm@5841
   968
  val name = "Provers/claset";
wenzelm@5841
   969
  type T = claset;
wenzelm@5841
   970
  val init = claset_of;
wenzelm@5841
   971
  fun print _ cs = print_cs cs;
wenzelm@5841
   972
end;
wenzelm@5841
   973
wenzelm@5841
   974
structure LocalClaset = ProofDataFun(LocalClasetArgs);
wenzelm@5841
   975
val print_local_claset = LocalClaset.print;
wenzelm@5841
   976
val get_local_claset = LocalClaset.get;
wenzelm@5841
   977
val put_local_claset = LocalClaset.put;
wenzelm@5841
   978
wenzelm@5841
   979
wenzelm@5885
   980
(* attributes *)
wenzelm@5885
   981
wenzelm@5885
   982
fun change_global_cs f (thy, th) =
wenzelm@5885
   983
  let val r = claset_ref_of thy
wenzelm@6096
   984
  in r := f (! r, [th]); (thy, th) end;
wenzelm@5885
   985
wenzelm@5885
   986
fun change_local_cs f (ctxt, th) =
wenzelm@6096
   987
  let val cs = f (get_local_claset ctxt, [th])
wenzelm@5885
   988
  in (put_local_claset cs ctxt, th) end;
wenzelm@5885
   989
wenzelm@5885
   990
val safe_dest_global = change_global_cs (op addSDs);
wenzelm@5885
   991
val safe_elim_global = change_global_cs (op addSEs);
wenzelm@5885
   992
val safe_intro_global = change_global_cs (op addSIs);
wenzelm@6955
   993
val haz_dest_global = change_global_cs (op addDs);
wenzelm@6955
   994
val haz_elim_global = change_global_cs (op addEs);
wenzelm@6955
   995
val haz_intro_global = change_global_cs (op addIs);
wenzelm@6955
   996
val xtra_dest_global = change_global_cs (op addXDs);
wenzelm@6955
   997
val xtra_elim_global = change_global_cs (op addXEs);
wenzelm@6955
   998
val xtra_intro_global = change_global_cs (op addXIs);
wenzelm@9938
   999
val rule_del_global = change_global_cs (op delrules);
wenzelm@5885
  1000
wenzelm@6955
  1001
val safe_dest_local = change_local_cs (op addSDs);
wenzelm@6955
  1002
val safe_elim_local = change_local_cs (op addSEs);
wenzelm@6955
  1003
val safe_intro_local = change_local_cs (op addSIs);
wenzelm@5885
  1004
val haz_dest_local = change_local_cs (op addDs);
wenzelm@5885
  1005
val haz_elim_local = change_local_cs (op addEs);
wenzelm@5885
  1006
val haz_intro_local = change_local_cs (op addIs);
wenzelm@6955
  1007
val xtra_dest_local = change_local_cs (op addXDs);
wenzelm@6955
  1008
val xtra_elim_local = change_local_cs (op addXEs);
wenzelm@6955
  1009
val xtra_intro_local = change_local_cs (op addXIs);
wenzelm@9938
  1010
val rule_del_local = change_local_cs (op delrules);
wenzelm@5885
  1011
wenzelm@5885
  1012
wenzelm@4079
  1013
(* tactics referring to the implicit claset *)
paulson@1800
  1014
wenzelm@4079
  1015
(*the abstraction over the proof state delays the dereferencing*)
wenzelm@9938
  1016
fun Safe_tac st           = safe_tac (claset()) st;
wenzelm@9938
  1017
fun Safe_step_tac i st    = safe_step_tac (claset()) i st;
wenzelm@4079
  1018
fun Clarify_step_tac i st = clarify_step_tac (claset()) i st;
wenzelm@9938
  1019
fun Clarify_tac i st      = clarify_tac (claset()) i st;
wenzelm@9938
  1020
fun Step_tac i st         = step_tac (claset()) i st;
wenzelm@9938
  1021
fun Fast_tac i st         = fast_tac (claset()) i st;
wenzelm@9938
  1022
fun Best_tac i st         = best_tac (claset()) i st;
wenzelm@9938
  1023
fun Slow_tac i st         = slow_tac (claset()) i st;
wenzelm@9938
  1024
fun Slow_best_tac i st    = slow_best_tac (claset()) i st;
wenzelm@9938
  1025
fun Deepen_tac m          = deepen_tac (claset()) m;
paulson@2066
  1026
paulson@1800
  1027
wenzelm@10736
  1028
end;
wenzelm@5841
  1029
wenzelm@5841
  1030
wenzelm@5841
  1031
wenzelm@5885
  1032
(** concrete syntax of attributes **)
wenzelm@5841
  1033
wenzelm@5841
  1034
(* add / del rules *)
wenzelm@5841
  1035
wenzelm@5841
  1036
val introN = "intro";
wenzelm@5841
  1037
val elimN = "elim";
wenzelm@5841
  1038
val destN = "dest";
wenzelm@9938
  1039
val ruleN = "rule";
wenzelm@5841
  1040
wenzelm@6955
  1041
fun cla_att change xtra haz safe = Attrib.syntax
wenzelm@10034
  1042
  (Scan.lift ((Args.query >> K xtra || Args.bang >> K safe || Scan.succeed haz) >> change));
wenzelm@5841
  1043
wenzelm@6955
  1044
fun cla_attr f g h = (cla_att change_global_cs f g h, cla_att change_local_cs f g h);
wenzelm@9938
  1045
wenzelm@10034
  1046
fun del_args att = Attrib.syntax (Scan.lift Args.del >> K att);
wenzelm@9938
  1047
val rule_del_attr = (del_args rule_del_global, del_args rule_del_local);
wenzelm@5841
  1048
wenzelm@5841
  1049
wenzelm@5841
  1050
(* setup_attrs *)
wenzelm@5841
  1051
wenzelm@9941
  1052
fun elim_format x = Attrib.no_args (Drule.rule_attribute (K Data.make_elim)) x;
wenzelm@9184
  1053
wenzelm@5841
  1054
val setup_attrs = Attrib.add_attributes
wenzelm@9941
  1055
 [("elim_format", (elim_format, elim_format),
wenzelm@9941
  1056
    "destruct rule turned into elimination rule format (classical)"),
wenzelm@9899
  1057
  (destN, cla_attr (op addXDs) (op addDs) (op addSDs), "declaration of destruction rule"),
wenzelm@9899
  1058
  (elimN, cla_attr (op addXEs) (op addEs) (op addSEs), "declaration of elimination rule"),
wenzelm@9899
  1059
  (introN, cla_attr (op addXIs) (op addIs) (op addSIs), "declaration of introduction rule"),
wenzelm@9938
  1060
  (ruleN, rule_del_attr, "remove declaration of intro/elim/dest rule")];
wenzelm@5841
  1061
wenzelm@5841
  1062
wenzelm@5841
  1063
wenzelm@7230
  1064
(** proof methods **)
wenzelm@7230
  1065
wenzelm@7230
  1066
(* get nets (appropriate order for semi-automatic methods) *)
wenzelm@7230
  1067
wenzelm@7230
  1068
local
wenzelm@7230
  1069
  val not_elim_netpair = insert (0, 0) ([], [Data.not_elim]) empty_netpair;
wenzelm@7230
  1070
in
wenzelm@7230
  1071
  fun get_nets (CS {safe0_netpair, safep_netpair, haz_netpair, dup_netpair, xtra_netpair, ...}) =
wenzelm@11723
  1072
    [safe0_netpair, safep_netpair, not_elim_netpair, haz_netpair, dup_netpair, xtra_netpair];
wenzelm@7230
  1073
end;
wenzelm@7230
  1074
wenzelm@7230
  1075
wenzelm@7230
  1076
(* METHOD_CLASET' *)
wenzelm@5841
  1077
wenzelm@8098
  1078
fun METHOD_CLASET' tac ctxt =
wenzelm@10394
  1079
  Method.METHOD (HEADGOAL o tac ctxt (get_local_claset ctxt));
wenzelm@7230
  1080
wenzelm@7230
  1081
wenzelm@7230
  1082
local
wenzelm@7230
  1083
wenzelm@10736
  1084
fun order_rules xs = map snd (Tactic.orderlist (map (apfst recover_order) xs));
wenzelm@5841
  1085
wenzelm@5841
  1086
fun find_erules [] _ = []
wenzelm@6955
  1087
  | find_erules (fact :: _) nets =
wenzelm@5841
  1088
      let
wenzelm@6502
  1089
        fun may_unify net = Net.unify_term net o Logic.strip_assums_concl o #prop o Thm.rep_thm;
wenzelm@6955
  1090
        fun erules_of (_, enet) = order_rules (may_unify enet fact);
wenzelm@6502
  1091
      in flat (map erules_of nets) end;
wenzelm@5841
  1092
wenzelm@11723
  1093
fun find_rules concl nets =
wenzelm@11723
  1094
  let fun rules_of (inet, _) = order_rules (Net.unify_term inet concl)
wenzelm@11723
  1095
  in flat (map rules_of nets) end;
wenzelm@11723
  1096
wenzelm@12053
  1097
fun some_rule_tac ctxt cs facts =
wenzelm@5841
  1098
  let
wenzelm@7230
  1099
    val nets = get_nets cs;
wenzelm@6492
  1100
    val erules = find_erules facts nets;
wenzelm@5841
  1101
wenzelm@5841
  1102
    val tac = SUBGOAL (fn (goal, i) =>
wenzelm@5841
  1103
      let
wenzelm@5841
  1104
        val irules = find_rules (Logic.strip_assums_concl goal) nets;
wenzelm@5841
  1105
        val rules = erules @ irules;
wenzelm@7425
  1106
        val ruleq = Method.multi_resolves facts rules;
wenzelm@12053
  1107
      in
wenzelm@12053
  1108
        Method.trace ctxt rules;
wenzelm@12053
  1109
        fn st => Seq.flat (Seq.map (fn rule => Tactic.rtac rule i st) ruleq)
wenzelm@12053
  1110
      end);
wenzelm@5841
  1111
  in tac end;
wenzelm@5841
  1112
wenzelm@10394
  1113
fun rule_tac [] ctxt cs facts =
wenzelm@12053
  1114
    Method.some_rule_tac [] ctxt facts APPEND' some_rule_tac ctxt cs facts
wenzelm@10394
  1115
  | rule_tac rules _ _ facts = Method.rule_tac rules facts;
wenzelm@7281
  1116
wenzelm@10382
  1117
fun default_tac rules ctxt cs facts =
wenzelm@10394
  1118
  rule_tac rules ctxt cs facts ORELSE'
wenzelm@10382
  1119
  AxClass.default_intro_classes_tac facts;
wenzelm@10309
  1120
wenzelm@7230
  1121
in
wenzelm@7281
  1122
  val rule = METHOD_CLASET' o rule_tac;
wenzelm@10394
  1123
  val default = METHOD_CLASET' o default_tac;
wenzelm@7230
  1124
end;
wenzelm@5841
  1125
wenzelm@5841
  1126
wenzelm@7230
  1127
(* intro / elim methods *)
wenzelm@7230
  1128
wenzelm@7230
  1129
local
wenzelm@7230
  1130
wenzelm@10394
  1131
fun intro_elim_tac netpair_of res_tac rules _ cs facts =
wenzelm@7329
  1132
  let
wenzelm@8342
  1133
    val tac =
wenzelm@9449
  1134
      if null rules then FIRST' (map (bimatch_from_nets_tac o netpair_of) (get_nets cs))
wenzelm@7329
  1135
      else res_tac rules;
wenzelm@8342
  1136
  in Method.insert_tac facts THEN' REPEAT_ALL_NEW tac end;
wenzelm@6502
  1137
wenzelm@8699
  1138
val intro_tac = intro_elim_tac (fn (inet, _) => (inet, Net.empty)) Tactic.match_tac;
wenzelm@8699
  1139
val elim_tac = intro_elim_tac (fn (_, enet) => (Net.empty, enet)) Tactic.ematch_tac;
wenzelm@7230
  1140
wenzelm@7230
  1141
in
wenzelm@7230
  1142
  val intro = METHOD_CLASET' o intro_tac;
wenzelm@7230
  1143
  val elim = METHOD_CLASET' o elim_tac;
wenzelm@7230
  1144
end;
wenzelm@7230
  1145
wenzelm@7230
  1146
wenzelm@7230
  1147
(* contradiction method *)
wenzelm@6502
  1148
wenzelm@7425
  1149
val contradiction = Method.rule [Data.not_elim, Data.not_elim COMP Drule.swap_prems_rl];
wenzelm@6502
  1150
wenzelm@6502
  1151
wenzelm@6502
  1152
(* automatic methods *)
wenzelm@5841
  1153
wenzelm@5927
  1154
val cla_modifiers =
wenzelm@10034
  1155
 [Args.$$$ destN -- Args.query_colon >> K ((I, xtra_dest_local):Method.modifier),
wenzelm@10034
  1156
  Args.$$$ destN -- Args.bang_colon >> K (I, safe_dest_local),
wenzelm@10034
  1157
  Args.$$$ destN -- Args.colon >> K (I, haz_dest_local),
wenzelm@10034
  1158
  Args.$$$ elimN -- Args.query_colon >> K (I, xtra_elim_local),
wenzelm@10034
  1159
  Args.$$$ elimN -- Args.bang_colon >> K (I, safe_elim_local),
wenzelm@10034
  1160
  Args.$$$ elimN -- Args.colon >> K (I, haz_elim_local),
wenzelm@10034
  1161
  Args.$$$ introN -- Args.query_colon >> K (I, xtra_intro_local),
wenzelm@10034
  1162
  Args.$$$ introN -- Args.bang_colon >> K (I, safe_intro_local),
wenzelm@10034
  1163
  Args.$$$ introN -- Args.colon >> K (I, haz_intro_local),
wenzelm@10034
  1164
  Args.del -- Args.colon >> K (I, rule_del_local)];
wenzelm@5927
  1165
wenzelm@7559
  1166
fun cla_meth tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@7559
  1167
  ALLGOALS (Method.insert_tac (prems @ facts)) THEN tac (get_local_claset ctxt));
wenzelm@7132
  1168
wenzelm@7559
  1169
fun cla_meth' tac prems ctxt = Method.METHOD (fn facts =>
wenzelm@8168
  1170
  HEADGOAL (Method.insert_tac (prems @ facts) THEN' tac (get_local_claset ctxt)));
wenzelm@5841
  1171
wenzelm@7559
  1172
val cla_method = Method.bang_sectioned_args cla_modifiers o cla_meth;
wenzelm@7559
  1173
val cla_method' = Method.bang_sectioned_args cla_modifiers o cla_meth';
wenzelm@5841
  1174
wenzelm@5841
  1175
wenzelm@5841
  1176
wenzelm@5841
  1177
(** setup_methods **)
wenzelm@5841
  1178
wenzelm@5841
  1179
val setup_methods = Method.add_methods
wenzelm@10309
  1180
 [("default", Method.thms_ctxt_args default, "apply some rule (classical)"),
wenzelm@9441
  1181
  ("rule", Method.thms_ctxt_args rule, "apply some rule (classical)"),
wenzelm@6502
  1182
  ("contradiction", Method.no_args contradiction, "proof by contradiction"),
wenzelm@8098
  1183
  ("intro", Method.thms_ctxt_args intro, "repeatedly apply introduction rules"),
wenzelm@8098
  1184
  ("elim", Method.thms_ctxt_args elim, "repeatedly apply elimination rules"),
wenzelm@10821
  1185
  ("clarify", cla_method' (CHANGED_PROP oo clarify_tac), "repeatedly apply safe steps"),
wenzelm@7004
  1186
  ("fast", cla_method' fast_tac, "classical prover (depth-first)"),
wenzelm@9806
  1187
  ("slow", cla_method' slow_tac, "classical prover (slow depth-first)"),
wenzelm@9773
  1188
  ("best", cla_method' best_tac, "classical prover (best-first)"),
wenzelm@10821
  1189
  ("safe", cla_method (CHANGED_PROP o safe_tac), "classical prover (apply safe rules)")];
wenzelm@5841
  1190
wenzelm@5841
  1191
wenzelm@5841
  1192
wenzelm@5841
  1193
(** theory setup **)
wenzelm@5841
  1194
wenzelm@7354
  1195
val setup = [GlobalClaset.init, LocalClaset.init, setup_attrs, setup_methods];
wenzelm@5841
  1196
wenzelm@5841
  1197
wenzelm@8667
  1198
wenzelm@8667
  1199
(** outer syntax **)
wenzelm@8667
  1200
wenzelm@8667
  1201
val print_clasetP =
wenzelm@8667
  1202
  OuterSyntax.improper_command "print_claset" "print context of Classical Reasoner"
wenzelm@8667
  1203
    OuterSyntax.Keyword.diag
wenzelm@9513
  1204
    (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o (Toplevel.keep
wenzelm@9010
  1205
      (Toplevel.node_case print_claset (print_local_claset o Proof.context_of)))));
wenzelm@8667
  1206
wenzelm@8667
  1207
val _ = OuterSyntax.add_parsers [print_clasetP];
wenzelm@8667
  1208
wenzelm@8667
  1209
wenzelm@5841
  1210
end;