src/Pure/Isar/method.ML
author wenzelm
Mon Oct 23 22:10:36 2000 +0200 (2000-10-23)
changeset 10309 a7f961fb62c6
parent 10034 4bca6b2d2589
child 10378 98c95ebf804f
permissions -rw-r--r--
intro_classes by default;
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(*  Title:      Pure/Isar/method.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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    License:    GPL (GNU GENERAL PUBLIC LICENSE)
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Proof methods.
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*)
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signature BASIC_METHOD =
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sig
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  val print_methods: theory -> unit
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  val Method: bstring -> (Args.src -> Proof.context -> Proof.method) -> string -> unit
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end;
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signature METHOD =
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sig
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  include BASIC_METHOD
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  val print_global_rules: theory -> unit
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  val print_local_rules: Proof.context -> unit
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  val dest_global: theory attribute
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  val elim_global: theory attribute
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  val intro_global: theory attribute
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  val rule_del_global: theory attribute
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  val dest_local: Proof.context attribute
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  val elim_local: Proof.context attribute
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  val intro_local: Proof.context attribute
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  val rule_del_local: Proof.context attribute
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  val METHOD: (thm list -> tactic) -> Proof.method
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  val METHOD_CASES:
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    (thm list -> thm -> (thm * (string * RuleCases.T) list) Seq.seq) -> Proof.method
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  val SIMPLE_METHOD: tactic -> Proof.method
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  val SIMPLE_METHOD': ((int -> tactic) -> tactic) -> (int -> tactic) -> Proof.method
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  val fail: Proof.method
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  val succeed: Proof.method
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  val defer: int option -> Proof.method
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  val prefer: int -> Proof.method
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  val insert_tac: thm list -> int -> tactic
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  val insert: thm list -> Proof.method
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  val insert_facts: Proof.method
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  val unfold: thm list -> Proof.method
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  val fold: thm list -> Proof.method
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  val atomize_tac: thm list -> int -> tactic
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  val atomize_goal: thm list -> int -> thm -> thm
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  val multi_resolve: thm list -> thm -> thm Seq.seq
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  val multi_resolves: thm list -> thm list -> thm Seq.seq
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  val resolveq_tac: thm Seq.seq -> int -> tactic
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  val resolveq_cases_tac: bool -> (thm * string list) Seq.seq
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    -> int -> thm -> (thm * (string * RuleCases.T) list) Seq.seq
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  val rule_tac: thm list -> thm list -> int -> tactic
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  val erule_tac: thm list -> thm list -> int -> tactic
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  val some_rule_tac: thm list -> Proof.context -> thm list -> int -> tactic
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  val rule: thm list -> Proof.method
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  val erule: thm list -> Proof.method
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  val drule: thm list -> Proof.method
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  val frule: thm list -> Proof.method
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  val this: Proof.method
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  val assumption: Proof.context -> Proof.method
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  val set_tactic: (Proof.context -> thm list -> tactic) -> unit
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  val tactic: string -> Proof.context -> Proof.method
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  exception METHOD_FAIL of (string * Position.T) * exn
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  val method: theory -> Args.src -> Proof.context -> Proof.method
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  val add_method: bstring * (Args.src -> Proof.context -> Proof.method) * string
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    -> theory -> theory
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  val add_methods: (bstring * (Args.src -> Proof.context -> Proof.method) * string) list
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    -> theory -> theory
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  val syntax: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) ->
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    Args.src -> Proof.context -> Proof.context * 'a
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  val simple_args: (Args.T list -> 'a * Args.T list)
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    -> ('a -> Proof.context -> Proof.method) -> Args.src -> Proof.context -> Proof.method
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  val ctxt_args: (Proof.context -> Proof.method) -> Args.src -> Proof.context -> Proof.method
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  val no_args: Proof.method -> Args.src -> Proof.context -> Proof.method
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  type modifier
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  val sectioned_args: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) ->
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    (Args.T list -> modifier * Args.T list) list ->
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    ('a -> Proof.context -> 'b) -> Args.src -> Proof.context -> 'b
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  val bang_sectioned_args:
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    (Args.T list -> modifier * Args.T list) list ->
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    (thm list -> Proof.context -> 'a) -> Args.src -> Proof.context -> 'a
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  val bang_sectioned_args':
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    (Args.T list -> modifier * Args.T list) list ->
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    (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list)) ->
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    ('a -> thm list -> Proof.context -> 'b) -> Args.src -> Proof.context -> 'b
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  val only_sectioned_args:
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    (Args.T list -> modifier * Args.T list) list ->
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    (Proof.context -> 'a) -> Args.src -> Proof.context -> 'a
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  val thms_ctxt_args: (thm list -> Proof.context -> 'a) -> Args.src -> Proof.context -> 'a
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  val thms_args: (thm list -> 'a) -> Args.src -> Proof.context -> 'a
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  val thm_args: (thm -> 'a) -> Args.src -> Proof.context -> 'a
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  datatype text =
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    Basic of (Proof.context -> Proof.method) |
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    Source of Args.src |
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    Then of text list |
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    Orelse of text list |
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    Try of text |
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    Repeat1 of text
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  val refine: text -> Proof.state -> Proof.state Seq.seq
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  val refine_end: text -> Proof.state -> Proof.state Seq.seq
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  val proof: text option -> Proof.state -> Proof.state Seq.seq
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  val local_qed: bool -> text option
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    -> ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit)
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    -> Proof.state -> Proof.state Seq.seq
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  val local_terminal_proof: text * text option
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    -> ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit)
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    -> Proof.state -> Proof.state Seq.seq
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  val local_default_proof: ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit)
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    -> Proof.state -> Proof.state Seq.seq
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  val local_immediate_proof: ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit)
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    -> Proof.state -> Proof.state Seq.seq
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  val local_done_proof: ({kind: string, name: string, thm: thm} -> unit) * (thm -> unit)
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    -> Proof.state -> Proof.state Seq.seq
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  val global_qed: bool -> text option
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    -> Proof.state -> theory * {kind: string, name: string, thm: thm}
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  val global_terminal_proof: text * text option
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    -> Proof.state -> theory * {kind: string, name: string, thm: thm}
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  val global_default_proof: Proof.state -> theory * {kind: string, name: string, thm: thm}
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  val global_immediate_proof: Proof.state -> theory * {kind: string, name: string, thm: thm}
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  val global_done_proof: Proof.state -> theory * {kind: string, name: string, thm: thm}
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  val goal_args: (Args.T list -> 'a * Args.T list) -> ('a -> int -> tactic)
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    -> Args.src -> Proof.context -> Proof.method
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  val goal_args': (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list))
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    -> ('a -> 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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structure Method: METHOD =
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struct
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(** global and local rule data **)
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local
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  fun prt_rules kind sg ths =
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    Pretty.writeln (Pretty.big_list ("standard " ^ kind ^ " rules:")
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      (map (Display.pretty_thm_sg sg) ths));
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in
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  fun print_rules sg (intro, elim) =
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    (prt_rules "introduction" sg intro; prt_rules "elimination" sg elim);
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end;
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(* theory data kind 'Isar/rules' *)
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structure GlobalRulesArgs =
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struct
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  val name = "Isar/rules";
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  type T = thm list * thm list;
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  val empty = ([], []);
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  val copy = I;
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  val prep_ext = I;
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  fun merge ((intro1, elim1), (intro2, elim2)) =
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    (Drule.merge_rules (intro1, intro2), Drule.merge_rules (elim1, elim2));
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  val print = print_rules;
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end;
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structure GlobalRules = TheoryDataFun(GlobalRulesArgs);
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val print_global_rules = GlobalRules.print;
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(* proof data kind 'Isar/rules' *)
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structure LocalRulesArgs =
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struct
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  val name = "Isar/rules";
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  type T = thm list * thm list;
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  val init = GlobalRules.get;
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  val print = print_rules o ProofContext.sign_of;
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end;
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structure LocalRules = ProofDataFun(LocalRulesArgs);
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val print_local_rules = LocalRules.print;
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(** attributes **)
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(* add rules *)
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local
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fun add_dest th (intro, elim) = (intro, Drule.add_rules [Tactic.make_elim th] elim);
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fun add_elim th (intro, elim) = (intro, Drule.add_rules [th] elim);
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fun add_intro th (intro, elim) = (Drule.add_rules [th] intro, elim);
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fun del_rule th (intro, elim) =
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  let
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    val th' = Tactic.make_elim th;
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    val del = Drule.del_rules [th'] o Drule.del_rules [th];
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  in (del intro, del elim) end;
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fun mk_att f g (x, th) = (f (g th) x, th);
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in
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val dest_global = mk_att GlobalRules.map add_dest;
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val elim_global = mk_att GlobalRules.map add_elim;
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val intro_global = mk_att GlobalRules.map add_intro;
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val rule_del_global = mk_att GlobalRules.map del_rule;
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val dest_local = mk_att LocalRules.map add_dest;
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val elim_local = mk_att LocalRules.map add_elim;
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val intro_local = mk_att LocalRules.map add_intro;
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val rule_del_local = mk_att LocalRules.map del_rule;
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fun del_args att = Attrib.syntax (Scan.lift Args.del >> K att);
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end;
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(* concrete syntax *)
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val rule_atts =
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 [("dest", (Attrib.no_args dest_global, Attrib.no_args dest_local),
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    "declaration of destruction rule"),
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  ("elim", (Attrib.no_args elim_global, Attrib.no_args elim_local),
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    "declaration of elimination rule"),
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  ("intro", (Attrib.no_args intro_global, Attrib.no_args intro_local),
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    "declaration of introduction rule"),
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  ("rule", (del_args rule_del_global, del_args rule_del_local),
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    "remove declaration of elim/intro rule")];
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(** proof methods **)
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(* make methods *)
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val METHOD = Proof.method;
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val METHOD_CASES = Proof.method_cases;
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(* primitive *)
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val fail = METHOD (K no_tac);
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val succeed = METHOD (K all_tac);
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(* shuffle *)
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fun prefer i = METHOD (K (Tactic.defer_tac i THEN PRIMITIVE (Thm.permute_prems 0 ~1)));
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fun defer opt_i = METHOD (K (Tactic.defer_tac (if_none opt_i 1)));
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(* insert *)
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local
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fun cut_rule_tac raw_rule =
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  let
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    val rule = Drule.forall_intr_vars raw_rule;
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    val revcut_rl = Drule.incr_indexes_wrt [] [] [] [rule] Drule.revcut_rl;
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  in Tactic.rtac (rule COMP revcut_rl) end;
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in
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fun insert_tac [] i = all_tac
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  | insert_tac facts i = EVERY (map (fn th => cut_rule_tac th i) facts);
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val insert_facts = METHOD (ALLGOALS o insert_tac);
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fun insert thms = METHOD (fn _ => ALLGOALS (insert_tac thms));
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end;
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(* simple methods *)
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fun SIMPLE_METHOD tac = METHOD (fn facts => ALLGOALS (insert_tac facts) THEN tac);
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fun SIMPLE_METHOD' quant tac = METHOD (fn facts => quant (insert_tac facts THEN' tac));
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(* unfold / fold definitions *)
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fun unfold thms = SIMPLE_METHOD (CHANGED (rewrite_goals_tac thms));
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fun fold thms = SIMPLE_METHOD (CHANGED (fold_goals_tac thms));
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(* atomize meta-connectives *)
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fun atomize_tac rews i thm =
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  if Logic.has_meta_prems (#prop (Thm.rep_thm thm)) i then
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    Tactic.asm_rewrite_goal_tac (true, false, false) (K no_tac) (Thm.mss_of rews) i thm
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  else all_tac thm;
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fun atomize_goal rews i thm =
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  (case Seq.pull (atomize_tac rews i thm) of
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    None => thm
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  | Some (thm', _) => thm');
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(* multi_resolve *)
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local
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fun res th i rule =
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  Thm.biresolution false [(false, th)] i rule handle THM _ => Seq.empty;
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fun multi_res _ [] rule = Seq.single rule
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  | multi_res i (th :: ths) rule = Seq.flat (Seq.map (res th i) (multi_res (i + 1) ths rule));
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in
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val multi_resolve = multi_res 1;
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fun multi_resolves facts rules = Seq.flat (Seq.map (multi_resolve facts) (Seq.of_list rules));
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end;
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(* general rule *)
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fun gen_resolveq_tac tac rules i st =
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  Seq.flat (Seq.map (fn rule => tac rule i st) rules);
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val resolveq_tac = gen_resolveq_tac Tactic.rtac;
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fun resolveq_cases_tac open_parms = gen_resolveq_tac (fn (rule, cases) => fn i => fn st =>
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  Seq.map (rpair (RuleCases.make (not open_parms) rule cases)) (Tactic.rtac rule i st));
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(* simple rule *)
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local
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fun gen_rule_tac tac rules [] = tac rules
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  | gen_rule_tac tac erules facts = gen_resolveq_tac (tac o single) (multi_resolves facts erules);
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fun gen_some_rule_tac tac arg_rules ctxt facts =
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  let val rules =
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    if not (null arg_rules) then arg_rules
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    else if null facts then #1 (LocalRules.get ctxt)
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    else op @ (LocalRules.get ctxt);
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  in tac rules facts end;
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fun gen_rule tac rules = METHOD (HEADGOAL o tac rules);
wenzelm@10309
   335
fun gen_rule' tac arg_rules ctxt = METHOD (HEADGOAL o gen_some_rule_tac tac arg_rules ctxt);
wenzelm@8153
   336
wenzelm@8220
   337
fun setup raw_tac =
wenzelm@8220
   338
  let val tac = gen_rule_tac raw_tac
wenzelm@8220
   339
  in (tac, gen_rule tac, gen_rule' tac) end;
wenzelm@8220
   340
wenzelm@7419
   341
in
wenzelm@7419
   342
wenzelm@10309
   343
val some_rule_tac = gen_some_rule_tac (gen_rule_tac Tactic.resolve_tac);
wenzelm@8220
   344
val (rule_tac, rule, some_rule) = setup Tactic.resolve_tac;
wenzelm@8220
   345
val (erule_tac, erule, some_erule) = setup Tactic.eresolve_tac;
wenzelm@8220
   346
val (drule_tac, drule, some_drule) = setup Tactic.dresolve_tac;
wenzelm@8220
   347
val (frule_tac, frule, some_frule) = setup Tactic.forward_tac;
wenzelm@5824
   348
wenzelm@7419
   349
end;
wenzelm@7419
   350
wenzelm@7419
   351
wenzelm@8195
   352
(* this *)
wenzelm@8195
   353
wenzelm@8671
   354
val this = METHOD (EVERY o map (HEADGOAL o Tactic.rtac));
wenzelm@8195
   355
wenzelm@8195
   356
wenzelm@8195
   357
(* assumption *)
wenzelm@7555
   358
wenzelm@7555
   359
fun assm_tac ctxt =
wenzelm@7555
   360
  assume_tac APPEND' resolve_tac (filter Thm.no_prems (ProofContext.prems_of ctxt));
wenzelm@7419
   361
wenzelm@7555
   362
fun assumption_tac ctxt [] = assm_tac ctxt
wenzelm@7555
   363
  | assumption_tac _ [fact] = resolve_tac [fact]
wenzelm@7555
   364
  | assumption_tac _ _ = K no_tac;
wenzelm@7419
   365
wenzelm@8671
   366
fun assumption ctxt = METHOD (HEADGOAL o assumption_tac ctxt);
wenzelm@7419
   367
wenzelm@7419
   368
wenzelm@9539
   369
(* res_inst_tac etc. *)
wenzelm@8238
   370
wenzelm@9539
   371
(*Note: insts refer to the implicit (!!) goal context; use at your own risk*)
wenzelm@9565
   372
fun gen_res_inst _ tac (quant, ([], thms)) =
wenzelm@9565
   373
      METHOD (fn facts => (quant (insert_tac facts THEN' tac thms)))
wenzelm@9565
   374
  | gen_res_inst tac _ (quant, (insts, [thm])) =
wenzelm@9565
   375
      METHOD (fn facts => (quant (insert_tac facts THEN' tac insts thm)))
wenzelm@9565
   376
  | gen_res_inst _ _ _ = error "Cannot have instantiations with multiple rules";
wenzelm@8238
   377
wenzelm@9565
   378
val res_inst = gen_res_inst Tactic.res_inst_tac Tactic.resolve_tac;
wenzelm@9565
   379
val eres_inst = gen_res_inst Tactic.eres_inst_tac Tactic.eresolve_tac;
wenzelm@9565
   380
val dres_inst = gen_res_inst Tactic.dres_inst_tac Tactic.dresolve_tac;
wenzelm@9565
   381
val forw_inst = gen_res_inst Tactic.forw_inst_tac Tactic.forward_tac;
wenzelm@9565
   382
val cut_inst = gen_res_inst Tactic.cut_inst_tac Tactic.cut_facts_tac;
wenzelm@8238
   383
wenzelm@8238
   384
wenzelm@8329
   385
(* simple Prolog interpreter *)
wenzelm@8329
   386
wenzelm@8329
   387
fun prolog_tac rules facts =
wenzelm@8329
   388
  DEPTH_SOLVE_1 (HEADGOAL (Tactic.assume_tac APPEND' Tactic.resolve_tac (facts @ rules)));
wenzelm@8329
   389
wenzelm@8329
   390
val prolog = METHOD o prolog_tac;
wenzelm@8329
   391
wenzelm@8329
   392
wenzelm@8351
   393
(* ML tactics *)
wenzelm@8351
   394
wenzelm@8351
   395
val tactic_ref = ref ((fn _ => raise Match): Proof.context -> thm list -> tactic);
wenzelm@8351
   396
fun set_tactic f = tactic_ref := f;
wenzelm@8351
   397
wenzelm@8351
   398
fun tactic txt ctxt = METHOD (fn facts =>
wenzelm@9631
   399
  (Context.use_mltext
wenzelm@9631
   400
    ("let fun tactic (ctxt: PureIsar.Proof.context) (facts: thm list) : tactic = \
wenzelm@9631
   401
     \let val thm = PureIsar.ProofContext.get_thm_closure ctxt\n\
wenzelm@9631
   402
     \  and thms = PureIsar.ProofContext.get_thms_closure ctxt in\n"
wenzelm@9631
   403
     ^ txt ^
wenzelm@9631
   404
     "\nend in PureIsar.Method.set_tactic tactic end")
wenzelm@9631
   405
    false None;
wenzelm@9631
   406
    Context.setmp (Some (ProofContext.theory_of ctxt)) (! tactic_ref ctxt) facts));
wenzelm@8351
   407
wenzelm@8351
   408
wenzelm@5824
   409
wenzelm@5824
   410
(** methods theory data **)
wenzelm@5824
   411
wenzelm@5824
   412
(* data kind 'Isar/methods' *)
wenzelm@5824
   413
wenzelm@5824
   414
structure MethodsDataArgs =
wenzelm@5824
   415
struct
wenzelm@5824
   416
  val name = "Isar/methods";
wenzelm@5824
   417
  type T =
wenzelm@5824
   418
    {space: NameSpace.T,
wenzelm@5824
   419
     meths: (((Args.src -> Proof.context -> Proof.method) * string) * stamp) Symtab.table};
wenzelm@5824
   420
wenzelm@5824
   421
  val empty = {space = NameSpace.empty, meths = Symtab.empty};
wenzelm@6546
   422
  val copy = I;
wenzelm@5824
   423
  val prep_ext = I;
wenzelm@5824
   424
  fun merge ({space = space1, meths = meths1}, {space = space2, meths = meths2}) =
wenzelm@5824
   425
    {space = NameSpace.merge (space1, space2),
wenzelm@5824
   426
      meths = Symtab.merge eq_snd (meths1, meths2) handle Symtab.DUPS dups =>
wenzelm@5824
   427
        error ("Attempt to merge different versions of methods " ^ commas_quote dups)};
wenzelm@5824
   428
wenzelm@9222
   429
  fun print _ {space, meths} =
wenzelm@5824
   430
    let
wenzelm@5824
   431
      fun prt_meth (name, ((_, comment), _)) = Pretty.block
wenzelm@6849
   432
        [Pretty.str (name ^ ":"), Pretty.brk 2, Pretty.str comment];
wenzelm@5824
   433
    in
wenzelm@8720
   434
      [Pretty.big_list "methods:" (map prt_meth (NameSpace.cond_extern_table space meths))]
wenzelm@9222
   435
      |> Pretty.chunks |> Pretty.writeln
wenzelm@5824
   436
    end;
wenzelm@5824
   437
end;
wenzelm@5824
   438
wenzelm@5824
   439
structure MethodsData = TheoryDataFun(MethodsDataArgs);
wenzelm@5824
   440
val print_methods = MethodsData.print;
wenzelm@7611
   441
wenzelm@5824
   442
wenzelm@5824
   443
(* get methods *)
wenzelm@5824
   444
wenzelm@5916
   445
exception METHOD_FAIL of (string * Position.T) * exn;
wenzelm@5916
   446
wenzelm@5824
   447
fun method thy =
wenzelm@5824
   448
  let
wenzelm@5824
   449
    val {space, meths} = MethodsData.get thy;
wenzelm@5824
   450
wenzelm@5884
   451
    fun meth src =
wenzelm@5884
   452
      let
wenzelm@5884
   453
        val ((raw_name, _), pos) = Args.dest_src src;
wenzelm@5884
   454
        val name = NameSpace.intern space raw_name;
wenzelm@5884
   455
      in
wenzelm@5824
   456
        (case Symtab.lookup (meths, name) of
wenzelm@5824
   457
          None => error ("Unknown proof method: " ^ quote name ^ Position.str_of pos)
wenzelm@5916
   458
        | Some ((mth, _), _) => transform_failure (curry METHOD_FAIL (name, pos)) (mth src))
wenzelm@5824
   459
      end;
wenzelm@5824
   460
  in meth end;
wenzelm@5824
   461
wenzelm@5824
   462
wenzelm@9194
   463
(* add_method(s) *)
wenzelm@5824
   464
wenzelm@5824
   465
fun add_methods raw_meths thy =
wenzelm@5824
   466
  let
wenzelm@5824
   467
    val full = Sign.full_name (Theory.sign_of thy);
wenzelm@5824
   468
    val new_meths =
wenzelm@5824
   469
      map (fn (name, f, comment) => (full name, ((f, comment), stamp ()))) raw_meths;
wenzelm@5824
   470
wenzelm@5824
   471
    val {space, meths} = MethodsData.get thy;
wenzelm@5824
   472
    val space' = NameSpace.extend (space, map fst new_meths);
wenzelm@5824
   473
    val meths' = Symtab.extend (meths, new_meths) handle Symtab.DUPS dups =>
wenzelm@5824
   474
      error ("Duplicate declaration of method(s) " ^ commas_quote dups);
wenzelm@5824
   475
  in
wenzelm@5824
   476
    thy |> MethodsData.put {space = space', meths = meths'}
wenzelm@5824
   477
  end;
wenzelm@5824
   478
wenzelm@9194
   479
val add_method = add_methods o Library.single;
wenzelm@9194
   480
wenzelm@5824
   481
(*implicit version*)
wenzelm@5824
   482
fun Method name meth cmt = Context.>> (add_methods [(name, meth, cmt)]);
wenzelm@5824
   483
wenzelm@5824
   484
wenzelm@5884
   485
wenzelm@5884
   486
(** method syntax **)
wenzelm@5824
   487
wenzelm@5884
   488
(* basic *)
wenzelm@5884
   489
wenzelm@5884
   490
fun syntax (scan: (Proof.context * Args.T list -> 'a * (Proof.context * Args.T list))) =
wenzelm@5884
   491
  Args.syntax "method" scan;
wenzelm@5824
   492
wenzelm@8351
   493
fun simple_args scan f src ctxt : Proof.method =
wenzelm@8351
   494
  #2 (syntax (Scan.lift (scan >> (fn x => f x ctxt))) src ctxt);
wenzelm@8351
   495
wenzelm@7555
   496
fun ctxt_args (f: Proof.context -> Proof.method) src ctxt =
wenzelm@8282
   497
  #2 (syntax (Scan.succeed (f ctxt)) src ctxt);
wenzelm@7555
   498
wenzelm@7555
   499
fun no_args m = ctxt_args (K m);
wenzelm@5884
   500
wenzelm@5884
   501
wenzelm@8351
   502
wenzelm@5884
   503
(* sections *)
wenzelm@5824
   504
wenzelm@7268
   505
type modifier = (Proof.context -> Proof.context) * Proof.context attribute;
wenzelm@7268
   506
wenzelm@7268
   507
local
wenzelm@7268
   508
wenzelm@8381
   509
fun sect ss = Scan.first (map Scan.lift ss);
wenzelm@5884
   510
fun thms ss = Scan.unless (sect ss) Attrib.local_thms;
wenzelm@5884
   511
fun thmss ss = Scan.repeat (thms ss) >> flat;
wenzelm@5884
   512
wenzelm@7268
   513
fun apply (f, att) (ctxt, ths) = Thm.applys_attributes ((f ctxt, ths), [att]);
wenzelm@5824
   514
wenzelm@7268
   515
fun section ss = (sect ss -- thmss ss) :-- (fn (m, ths) => Scan.depend (fn ctxt =>
wenzelm@7268
   516
  Scan.succeed (apply m (ctxt, ths)))) >> #2;
wenzelm@5884
   517
wenzelm@7601
   518
fun sectioned args ss = args -- Scan.repeat (section ss);
wenzelm@5884
   519
wenzelm@7268
   520
in
wenzelm@5824
   521
wenzelm@5884
   522
fun sectioned_args args ss f src ctxt =
wenzelm@8282
   523
  let val (ctxt', (x, _)) = syntax (sectioned args ss) src ctxt
wenzelm@5921
   524
  in f x ctxt' end;
wenzelm@5884
   525
wenzelm@7601
   526
fun bang_sectioned_args ss f = sectioned_args Args.bang_facts ss f;
wenzelm@9777
   527
fun bang_sectioned_args' ss scan f =
wenzelm@9777
   528
  sectioned_args (Args.bang_facts -- scan >> swap) ss (uncurry f);
wenzelm@7601
   529
fun only_sectioned_args ss f = sectioned_args (Scan.succeed ()) ss (fn () => f);
wenzelm@7268
   530
wenzelm@8093
   531
fun thms_ctxt_args f = sectioned_args (thmss []) [] f;
wenzelm@8093
   532
fun thms_args f = thms_ctxt_args (K o f);
wenzelm@9706
   533
fun thm_args f = thms_args (fn [thm] => f thm | _ => error "Single theorem expected");
wenzelm@5824
   534
wenzelm@7268
   535
end;
wenzelm@7268
   536
wenzelm@5824
   537
wenzelm@9539
   538
(* tactic syntax *)
wenzelm@8238
   539
wenzelm@8238
   540
val insts =
wenzelm@9539
   541
  Scan.optional
wenzelm@9565
   542
    (Args.enum1 "and" (Scan.lift (Args.name -- (Args.$$$ "=" |-- Args.!!! Args.name))) --|
wenzelm@9565
   543
      Scan.lift (Args.$$$ "in")) [] -- Attrib.local_thmss;
wenzelm@8238
   544
wenzelm@8537
   545
fun inst_args f = f oo (#2 oo syntax (Args.goal_spec HEADGOAL -- insts));
wenzelm@8537
   546
wenzelm@8537
   547
wenzelm@9539
   548
fun goal_args' args tac = #2 oo syntax (Args.goal_spec HEADGOAL -- args >>
wenzelm@9706
   549
  (fn (quant, s) => SIMPLE_METHOD' quant (tac s)));
wenzelm@8537
   550
wenzelm@9539
   551
fun goal_args args tac = goal_args' (Scan.lift args) tac;
wenzelm@8238
   552
wenzelm@8238
   553
wenzelm@5824
   554
wenzelm@5824
   555
(** method text **)
wenzelm@5824
   556
wenzelm@5824
   557
(* datatype text *)
wenzelm@5824
   558
wenzelm@5824
   559
datatype text =
wenzelm@5824
   560
  Basic of (Proof.context -> Proof.method) |
wenzelm@5824
   561
  Source of Args.src |
wenzelm@5824
   562
  Then of text list |
wenzelm@5824
   563
  Orelse of text list |
wenzelm@5824
   564
  Try of text |
wenzelm@5824
   565
  Repeat1 of text;
wenzelm@5824
   566
wenzelm@5824
   567
wenzelm@5824
   568
(* refine *)
wenzelm@5824
   569
wenzelm@8238
   570
fun gen_refine f text state =
wenzelm@5824
   571
  let
wenzelm@5824
   572
    val thy = Proof.theory_of state;
wenzelm@5824
   573
wenzelm@8238
   574
    fun eval (Basic mth) = f mth
wenzelm@8238
   575
      | eval (Source src) = f (method thy src)
wenzelm@5824
   576
      | eval (Then txts) = Seq.EVERY (map eval txts)
wenzelm@5824
   577
      | eval (Orelse txts) = Seq.FIRST (map eval txts)
wenzelm@5824
   578
      | eval (Try txt) = Seq.TRY (eval txt)
wenzelm@5824
   579
      | eval (Repeat1 txt) = Seq.REPEAT1 (eval txt);
wenzelm@5824
   580
  in eval text state end;
wenzelm@5824
   581
wenzelm@8238
   582
val refine = gen_refine Proof.refine;
wenzelm@8238
   583
val refine_end = gen_refine Proof.refine_end;
wenzelm@6404
   584
wenzelm@5824
   585
wenzelm@6404
   586
(* structured proof steps *)
wenzelm@5824
   587
wenzelm@7506
   588
val default_text = Source (Args.src (("default", []), Position.none));
wenzelm@8195
   589
val this_text = Basic (K this);
wenzelm@9706
   590
val done_text = Basic (K (SIMPLE_METHOD all_tac));
wenzelm@7555
   591
wenzelm@8966
   592
fun close_text asm = Basic (fn ctxt => METHOD (K
wenzelm@8966
   593
  (FILTER Thm.no_prems ((if asm then ALLGOALS (assm_tac ctxt) else all_tac) THEN flexflex_tac))));
wenzelm@8966
   594
wenzelm@8966
   595
fun finish_text asm None = close_text asm
wenzelm@8966
   596
  | finish_text asm (Some txt) = Then [txt, close_text asm];
wenzelm@6872
   597
wenzelm@5824
   598
fun proof opt_text state =
wenzelm@5824
   599
  state
wenzelm@5824
   600
  |> Proof.assert_backward
wenzelm@6404
   601
  |> refine (if_none opt_text default_text)
wenzelm@8242
   602
  |> Seq.map (Proof.goal_facts (K []))
wenzelm@5824
   603
  |> Seq.map Proof.enter_forward;
wenzelm@5824
   604
wenzelm@8966
   605
fun local_qed asm opt_text = Proof.local_qed (refine (finish_text asm opt_text));
wenzelm@8966
   606
fun local_terminal_proof (text, opt_text) pr =
wenzelm@8966
   607
  Seq.THEN (proof (Some text), local_qed true opt_text pr);
wenzelm@8966
   608
val local_default_proof = local_terminal_proof (default_text, None);
wenzelm@8195
   609
val local_immediate_proof = local_terminal_proof (this_text, None);
wenzelm@8966
   610
fun local_done_proof pr = Seq.THEN (proof (Some done_text), local_qed false None pr);
wenzelm@5824
   611
wenzelm@6872
   612
wenzelm@8966
   613
fun global_qeds asm opt_text = Proof.global_qed (refine (finish_text asm opt_text));
wenzelm@5824
   614
wenzelm@8966
   615
fun global_qed asm opt_text state =
wenzelm@6872
   616
  state
wenzelm@8966
   617
  |> global_qeds asm opt_text
wenzelm@6872
   618
  |> Proof.check_result "Failed to finish proof" state
wenzelm@6872
   619
  |> Seq.hd;
wenzelm@6872
   620
wenzelm@8966
   621
fun global_term_proof asm (text, opt_text) state =
wenzelm@6872
   622
  state
wenzelm@6872
   623
  |> proof (Some text)
wenzelm@6872
   624
  |> Proof.check_result "Terminal proof method failed" state
wenzelm@8966
   625
  |> (Seq.flat o Seq.map (global_qeds asm opt_text))
wenzelm@6872
   626
  |> Proof.check_result "Failed to finish proof (after successful terminal method)" state
wenzelm@6872
   627
  |> Seq.hd;
wenzelm@6872
   628
wenzelm@8966
   629
val global_terminal_proof = global_term_proof true;
wenzelm@6934
   630
val global_default_proof = global_terminal_proof (default_text, None);
wenzelm@8966
   631
val global_immediate_proof = global_terminal_proof (this_text, None);
wenzelm@8966
   632
val global_done_proof = global_term_proof false (done_text, None);
wenzelm@5824
   633
wenzelm@5824
   634
wenzelm@5824
   635
(** theory setup **)
wenzelm@5824
   636
wenzelm@9539
   637
(* misc tactic emulations *)
wenzelm@9539
   638
wenzelm@9539
   639
val subgoal_meth = goal_args (Scan.repeat1 Args.name) Tactic.subgoals_tac;
wenzelm@9539
   640
val thin_meth = goal_args Args.name Tactic.thin_tac;
wenzelm@9539
   641
val rename_meth = goal_args (Scan.repeat1 Args.name) Tactic.rename_params_tac;
wenzelm@9631
   642
val rotate_meth = goal_args (Scan.optional Args.int 1) Tactic.rotate_tac;
wenzelm@9539
   643
wenzelm@9539
   644
wenzelm@5824
   645
(* pure_methods *)
wenzelm@5824
   646
wenzelm@5824
   647
val pure_methods =
wenzelm@5824
   648
 [("fail", no_args fail, "force failure"),
wenzelm@5824
   649
  ("succeed", no_args succeed, "succeed"),
wenzelm@9587
   650
  ("-", no_args insert_facts, "do nothing (insert current facts only)"),
wenzelm@9539
   651
  ("insert", thms_args insert, "insert theorems, ignoring facts (improper)"),
wenzelm@7601
   652
  ("unfold", thms_args unfold, "unfold definitions"),
wenzelm@7601
   653
  ("fold", thms_args fold, "fold definitions"),
wenzelm@8153
   654
  ("rule", thms_ctxt_args some_rule, "apply some rule"),
wenzelm@9539
   655
  ("erule", thms_ctxt_args some_erule, "apply some rule in elimination manner (improper)"),
wenzelm@9539
   656
  ("drule", thms_ctxt_args some_drule, "apply some rule in destruct manner (improper)"),
wenzelm@9539
   657
  ("frule", thms_ctxt_args some_frule, "apply some rule in forward manner (improper)"),
wenzelm@8195
   658
  ("this", no_args this, "apply current facts as rules"),
wenzelm@8238
   659
  ("assumption", ctxt_args assumption, "proof by assumption, preferring facts"),
wenzelm@9539
   660
  ("rule_tac", inst_args res_inst, "apply rule (dynamic instantiation!)"),
wenzelm@9539
   661
  ("erule_tac", inst_args eres_inst, "apply rule in elimination manner (dynamic instantiation!)"),
wenzelm@9539
   662
  ("drule_tac", inst_args dres_inst, "apply rule in destruct manner (dynamic instantiation!)"),
wenzelm@9539
   663
  ("frule_tac", inst_args forw_inst, "apply rule in forward manner (dynamic instantiation!)"),
wenzelm@9539
   664
  ("cut_tac", inst_args cut_inst, "cut rule (dynamic instantiation!)"),
wenzelm@9565
   665
  ("subgoal_tac", subgoal_meth, "insert subgoal (dynamic instantiation!)"),
wenzelm@9565
   666
  ("thin_tac", thin_meth, "remove premise (dynamic instantiation!)"),
wenzelm@9631
   667
  ("rename_tac", rename_meth, "rename parameters of goal (dynamic instantiation!)"),
wenzelm@9631
   668
  ("rotate_tac", rotate_meth, "rotate assumptions of goal"),
wenzelm@8351
   669
  ("prolog", thms_args prolog, "simple prolog interpreter"),
wenzelm@8351
   670
  ("tactic", simple_args Args.name tactic, "ML tactic as proof method")];
wenzelm@5824
   671
wenzelm@5824
   672
wenzelm@5824
   673
(* setup *)
wenzelm@5824
   674
wenzelm@8153
   675
val setup =
wenzelm@8153
   676
 [GlobalRules.init, LocalRules.init, Attrib.add_attributes rule_atts,
wenzelm@8153
   677
  MethodsData.init, add_methods pure_methods];
wenzelm@5824
   678
wenzelm@5824
   679
wenzelm@5824
   680
end;
wenzelm@5824
   681
wenzelm@5824
   682
wenzelm@5824
   683
structure BasicMethod: BASIC_METHOD = Method;
wenzelm@5824
   684
open BasicMethod;