src/Pure/Isar/method.ML
author wenzelm
Thu Aug 18 11:17:45 2005 +0200 (2005-08-18)
changeset 17110 4c5622d7bdbe
parent 16876 f57b38cced32
child 17221 6cd180204582
permissions -rw-r--r--
moved before proof.ML;
added FINDGOAL/HEADGOAL (from proof.ML);
added type method (from proof.ML);
moved proof refinement etc. to proof.ML;
tuned;
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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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Isar proof methods.
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*)
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signature BASIC_METHOD =
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sig
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  val FINDGOAL: (int -> thm -> 'a Seq.seq) -> thm -> 'a Seq.seq
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  val HEADGOAL: (int -> thm -> 'a Seq.seq) -> thm -> 'a Seq.seq
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  type method
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  val trace_rules: bool ref
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  val print_methods: theory -> unit
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  val Method: bstring -> (Args.src -> ProofContext.context -> 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 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 apply: method -> thm list -> RuleCases.tactic;
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  val RAW_METHOD_CASES: (thm list -> RuleCases.tactic) -> method
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  val RAW_METHOD: (thm list -> tactic) -> method
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  val METHOD_CASES: (thm list -> RuleCases.tactic) -> method
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  val METHOD: (thm list -> tactic) -> method
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  val fail: method
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  val succeed: method
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  val insert_tac: thm list -> int -> tactic
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  val insert: thm list -> method
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  val insert_facts: method
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  val SIMPLE_METHOD: tactic -> method
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  val SIMPLE_METHOD': ((int -> tactic) -> tactic) -> (int -> tactic) -> method
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  val defer: int option -> method
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  val prefer: int -> method
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  val intro: thm list -> method
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  val elim: thm list -> method
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  val unfold: thm list -> method
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  val fold: thm list -> method
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  val atomize: bool -> method
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  val this: method
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  val assumption: ProofContext.context -> method
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  val close: bool -> ProofContext.context -> method
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  val trace: ProofContext.context -> thm list -> unit
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  val rule_tac: thm list -> thm list -> int -> tactic
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  val some_rule_tac: thm list -> ProofContext.context -> thm list -> int -> tactic
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  val rule: thm list -> method
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  val erule: int -> thm list -> method
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  val drule: int -> thm list -> method
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  val frule: int -> thm list -> method
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  val rules_tac: ProofContext.context -> int option -> int -> tactic
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  val bires_inst_tac: bool -> ProofContext.context -> (indexname * string) list ->
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    thm -> int -> tactic
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  val set_tactic: (ProofContext.context -> thm list -> tactic) -> unit
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  val tactic: string -> ProofContext.context -> method
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  type src
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  datatype text =
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    Basic of (ProofContext.context -> method) |
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    Source of 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 default_text: text
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  val this_text: text
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  val done_text: text
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  val finish_text: bool -> text option -> text
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  exception METHOD_FAIL of (string * Position.T) * exn
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  val method: theory -> src -> ProofContext.context -> method
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  val add_methods: (bstring * (src -> ProofContext.context -> method) * string) list
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    -> theory -> theory
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  val add_method: bstring * (src -> ProofContext.context -> method) * string
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    -> theory -> theory
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  val syntax: (ProofContext.context * Args.T list -> 'a * (ProofContext.context * Args.T list))
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    -> src -> ProofContext.context -> ProofContext.context * 'a
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  val simple_args: (Args.T list -> 'a * Args.T list)
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    -> ('a -> ProofContext.context -> method) -> src -> ProofContext.context -> method
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  val ctxt_args: (ProofContext.context -> method) -> src -> ProofContext.context -> method
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  val no_args: method -> src -> ProofContext.context -> method
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  type modifier
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  val sectioned_args: (ProofContext.context * Args.T list ->
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      'a * (ProofContext.context * Args.T list)) ->
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    (Args.T list -> modifier * Args.T list) list ->
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    ('a -> ProofContext.context -> 'b) -> src -> ProofContext.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 -> ProofContext.context -> 'a) -> src -> ProofContext.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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    (ProofContext.context * Args.T list -> 'a * (ProofContext.context * Args.T list)) ->
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    ('a -> thm list -> ProofContext.context -> 'b) -> src -> ProofContext.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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    (ProofContext.context -> 'a) -> src -> ProofContext.context -> 'a
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  val thms_ctxt_args: (thm list -> ProofContext.context -> 'a) -> src ->
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    ProofContext.context -> 'a
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  val thms_args: (thm list -> 'a) -> src -> ProofContext.context -> 'a
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  val thm_args: (thm -> 'a) -> src -> ProofContext.context -> 'a
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  val goal_args: (Args.T list -> 'a * Args.T list) -> ('a -> int -> tactic)
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    -> src -> ProofContext.context -> method
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  val goal_args': (ProofContext.context * Args.T list ->
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      'a * (ProofContext.context * Args.T list))
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    -> ('a -> int -> tactic) -> src -> ProofContext.context -> method
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  val goal_args_ctxt: (Args.T list -> 'a * Args.T list) ->
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    (ProofContext.context -> 'a -> int -> tactic) -> src -> ProofContext.context -> method
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  val goal_args_ctxt': (ProofContext.context * Args.T list ->
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    'a * (ProofContext.context * Args.T list)) ->
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    (ProofContext.context -> 'a -> int -> tactic) -> src -> ProofContext.context -> method
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end;
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structure Method: METHOD =
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struct
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(** generic tools **)
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(* goal addressing *)
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fun FINDGOAL tac st =
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  let fun find i n = if i > n then Seq.fail else Seq.APPEND (tac i, find (i + 1) n)
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  in find 1 (Thm.nprems_of st) st end;
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fun HEADGOAL tac = tac 1;
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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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(** proof methods **)
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(* datatype method *)
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datatype method = Method of thm list -> RuleCases.tactic;
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fun apply (Method m) = m;
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val RAW_METHOD_CASES = Method;
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fun RAW_METHOD tac = RAW_METHOD_CASES (NO_CASES o tac);
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fun METHOD_CASES tac = RAW_METHOD_CASES (fn facts =>
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  Seq.THEN (TRY Tactic.conjunction_tac, tac facts));
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fun METHOD tac = RAW_METHOD (fn facts =>
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  TRY Tactic.conjunction_tac THEN tac facts);
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val fail = METHOD (K no_tac);
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val succeed = METHOD (K all_tac);
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(* insert facts *)
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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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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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end;
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(* shuffle subgoals *)
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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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(* unfold intro/elim rules *)
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fun intro ths = SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o REPEAT_ALL_NEW (Tactic.match_tac ths));
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fun elim ths = SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o REPEAT_ALL_NEW (Tactic.ematch_tac ths));
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(* unfold/fold definitions *)
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fun unfold_meth ths = SIMPLE_METHOD (CHANGED_PROP (rewrite_goals_tac ths));
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fun fold_meth ths = SIMPLE_METHOD (CHANGED_PROP (fold_goals_tac ths));
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(* atomize rule statements *)
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fun atomize false = SIMPLE_METHOD' HEADGOAL (CHANGED_PROP o ObjectLogic.atomize_tac)
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  | atomize true = RAW_METHOD (K (HEADGOAL (CHANGED_PROP o ObjectLogic.full_atomize_tac)));
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(* this -- apply facts directly *)
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val this = METHOD (EVERY o map (HEADGOAL o Tactic.rtac));
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(* assumption *)
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local
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fun asm_tac ths =
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  foldr (op APPEND') (K no_tac) (map (fn th => Tactic.rtac th THEN_ALL_NEW assume_tac) ths);
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val refl_tac = SUBGOAL (fn (prop, i) =>
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  if can Logic.dest_equals (Logic.strip_assums_concl prop)
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  then Tactic.rtac Drule.reflexive_thm i else no_tac);
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fun assm_tac ctxt =
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  assume_tac APPEND'
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  asm_tac (ProofContext.prems_of ctxt) APPEND'
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  refl_tac;
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fun assumption_tac ctxt [] = assm_tac ctxt
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  | assumption_tac _ [fact] = asm_tac [fact]
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  | assumption_tac _ _ = K no_tac;
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in
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fun assumption ctxt = METHOD (HEADGOAL o assumption_tac ctxt);
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fun close asm ctxt = METHOD (K
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  (FILTER Thm.no_prems ((if asm then ALLGOALS (assm_tac ctxt) else all_tac) THEN flexflex_tac)));
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end;
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(* rule etc. -- single-step refinements *)
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val trace_rules = ref false;
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fun trace ctxt rules =
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  conditional (! trace_rules andalso not (null rules)) (fn () =>
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    Pretty.big_list "rules:" (map (ProofContext.pretty_thm ctxt) rules)
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    |> Pretty.string_of |> tracing);
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local
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fun gen_rule_tac tac rules [] i st = tac rules i st
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  | gen_rule_tac tac rules facts i st =
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      Seq.flat (Seq.map (fn rule => (tac o single) rule i st) (multi_resolves facts rules));
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fun gen_arule_tac tac j rules facts =
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  EVERY' (gen_rule_tac tac rules facts :: replicate j Tactic.assume_tac);
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fun gen_some_rule_tac tac arg_rules ctxt facts = SUBGOAL (fn (goal, i) =>
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  let
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    val rules =
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      if not (null arg_rules) then arg_rules
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      else List.concat (ContextRules.find_rules false facts goal ctxt)
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  in trace ctxt rules; tac rules facts i end);
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fun meth tac x = METHOD (HEADGOAL o tac x);
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fun meth' tac x y = METHOD (HEADGOAL o tac x y);
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in
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val rule_tac = gen_rule_tac Tactic.resolve_tac;
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val rule = meth rule_tac;
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val some_rule_tac = gen_some_rule_tac rule_tac;
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val some_rule = meth' some_rule_tac;
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val erule = meth' (gen_arule_tac Tactic.eresolve_tac);
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val drule = meth' (gen_arule_tac Tactic.dresolve_tac);
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val frule = meth' (gen_arule_tac Tactic.forward_tac);
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end;
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(* rules -- intuitionistic proof search *)
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local
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val remdups_tac = SUBGOAL (fn (g, i) =>
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  let val prems = Logic.strip_assums_hyp g in
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    REPEAT_DETERM_N (length prems - length (gen_distinct op aconv prems))
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    (Tactic.ematch_tac [Drule.remdups_rl] i THEN Tactic.eq_assume_tac i)
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  end);
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fun REMDUPS tac = tac THEN_ALL_NEW remdups_tac;
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fun gen_eq_set e s1 s2 =
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  length s1 = length s2 andalso
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  gen_subset e (s1, s2) andalso gen_subset e (s2, s1);
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val bires_tac = Tactic.biresolution_from_nets_tac ContextRules.orderlist;
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fun safe_step_tac ctxt =
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  ContextRules.Swrap ctxt
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   (eq_assume_tac ORELSE'
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    bires_tac true (ContextRules.netpair_bang ctxt));
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fun unsafe_step_tac ctxt =
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  ContextRules.wrap ctxt
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   (assume_tac APPEND'
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    bires_tac false (ContextRules.netpair_bang ctxt) APPEND'
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    bires_tac false (ContextRules.netpair ctxt));
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fun step_tac ctxt i =
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  REPEAT_DETERM1 (REMDUPS (safe_step_tac ctxt) i) ORELSE
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  REMDUPS (unsafe_step_tac ctxt) i;
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fun intprover_tac ctxt gs d lim = SUBGOAL (fn (g, i) => if d > lim then no_tac else
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  let
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    val ps = Logic.strip_assums_hyp g;
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    val c = Logic.strip_assums_concl g;
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  in
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    if gen_mem (fn ((ps1, c1), (ps2, c2)) =>
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      c1 aconv c2 andalso gen_eq_set op aconv ps1 ps2) ((ps, c), gs) then no_tac
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   331
    else (step_tac ctxt THEN_ALL_NEW intprover_tac ctxt ((ps, c) :: gs) (d + 1) lim) i
wenzelm@17110
   332
  end);
wenzelm@17110
   333
wenzelm@17110
   334
in
wenzelm@17110
   335
wenzelm@17110
   336
fun rules_tac ctxt opt_lim =
wenzelm@17110
   337
  SELECT_GOAL (DEEPEN (2, if_none opt_lim 20) (intprover_tac ctxt [] 0) 4 1);
wenzelm@17110
   338
wenzelm@17110
   339
end;
wenzelm@8195
   340
wenzelm@8195
   341
wenzelm@17110
   342
(* rule_tac etc. -- refer to dynamic goal state!! *)
wenzelm@12119
   343
ballarin@14174
   344
fun bires_inst_tac bires_flag ctxt insts thm =
ballarin@14174
   345
  let
wenzelm@17110
   346
    val thy = ProofContext.theory_of ctxt;
ballarin@14174
   347
    (* Separate type and term insts *)
ballarin@14174
   348
    fun has_type_var ((x, _), _) = (case Symbol.explode x of
ballarin@14174
   349
          "'"::cs => true | cs => false);
skalberg@15570
   350
    val Tinsts = List.filter has_type_var insts;
ballarin@14174
   351
    val tinsts = filter_out has_type_var insts;
ballarin@14174
   352
    (* Tactic *)
ballarin@14174
   353
    fun tac i st =
ballarin@14174
   354
      let
ballarin@14174
   355
        (* Preprocess state: extract environment information:
ballarin@14174
   356
           - variables and their types
ballarin@14174
   357
           - type variables and their sorts
ballarin@14174
   358
           - parameters and their types *)
ballarin@14174
   359
        val (types, sorts) = types_sorts st;
ballarin@14174
   360
    (* Process type insts: Tinsts_env *)
ballarin@14174
   361
    fun absent xi = error
wenzelm@14718
   362
          ("No such variable in theorem: " ^ Syntax.string_of_vname xi);
ballarin@14174
   363
    val (rtypes, rsorts) = types_sorts thm;
ballarin@14174
   364
    fun readT (xi, s) =
skalberg@15531
   365
        let val S = case rsorts xi of SOME S => S | NONE => absent xi;
wenzelm@17110
   366
            val T = Sign.read_typ (thy, sorts) s;
berghofe@15798
   367
            val U = TVar (xi, S);
wenzelm@17110
   368
        in if Sign.typ_instance thy (T, U) then (U, T)
ballarin@14174
   369
           else error
ballarin@14174
   370
             ("Instantiation of " ^ Syntax.string_of_vname xi ^ " fails")
ballarin@14174
   371
        end;
ballarin@14174
   372
    val Tinsts_env = map readT Tinsts;
ballarin@14174
   373
    (* Preprocess rule: extract vars and their types, apply Tinsts *)
ballarin@14174
   374
    fun get_typ xi =
ballarin@14174
   375
      (case rtypes xi of
berghofe@15798
   376
           SOME T => typ_subst_atomic Tinsts_env T
skalberg@15531
   377
         | NONE => absent xi);
ballarin@14174
   378
    val (xis, ss) = Library.split_list tinsts;
ballarin@14174
   379
    val Ts = map get_typ xis;
wenzelm@14718
   380
        val (_, _, Bi, _) = dest_state(st,i)
wenzelm@14718
   381
        val params = Logic.strip_params Bi
wenzelm@14718
   382
                             (* params of subgoal i as string typ pairs *)
wenzelm@14718
   383
        val params = rev(Term.rename_wrt_term Bi params)
wenzelm@14718
   384
                           (* as they are printed: bound variables with *)
ballarin@14508
   385
                           (* the same name are renamed during printing *)
ballarin@14174
   386
        fun types' (a, ~1) = (case assoc (params, a) of
skalberg@15531
   387
                NONE => types (a, ~1)
ballarin@14174
   388
              | some => some)
ballarin@14174
   389
          | types' xi = types xi;
wenzelm@15973
   390
        fun internal x = is_some (types' (x, ~1));
wenzelm@15703
   391
        val used = Drule.add_used thm (Drule.add_used st []);
wenzelm@14718
   392
        val (ts, envT) =
wenzelm@14718
   393
          ProofContext.read_termTs_schematic ctxt internal types' sorts used (ss ~~ Ts);
berghofe@15798
   394
        val envT' = map (fn (ixn, T) =>
wenzelm@15973
   395
          (TVar (ixn, the (rsorts ixn)), T)) envT @ Tinsts_env;
wenzelm@14718
   396
        val cenv =
wenzelm@14718
   397
          map
wenzelm@14718
   398
            (fn (xi, t) =>
wenzelm@17110
   399
              pairself (Thm.cterm_of thy) (Var (xi, fastype_of t), t))
wenzelm@14718
   400
            (gen_distinct
wenzelm@14718
   401
              (fn ((x1, t1), (x2, t2)) => x1 = x2 andalso t1 aconv t2)
wenzelm@14718
   402
              (xis ~~ ts));
wenzelm@14718
   403
        (* Lift and instantiate rule *)
wenzelm@14718
   404
        val {maxidx, ...} = rep_thm st;
wenzelm@14718
   405
        val paramTs = map #2 params
wenzelm@14718
   406
        and inc = maxidx+1
wenzelm@14718
   407
        fun liftvar (Var ((a,j), T)) =
wenzelm@16876
   408
              Var((a, j+inc), paramTs ---> Logic.incr_tvar inc T)
wenzelm@14718
   409
          | liftvar t = raise TERM("Variable expected", [t]);
wenzelm@14718
   410
        fun liftterm t = list_abs_free
wenzelm@14718
   411
              (params, Logic.incr_indexes(paramTs,inc) t)
wenzelm@14718
   412
        fun liftpair (cv,ct) =
wenzelm@14718
   413
              (cterm_fun liftvar cv, cterm_fun liftterm ct)
wenzelm@17110
   414
        val lifttvar = pairself (ctyp_of thy o Logic.incr_tvar inc);
wenzelm@14718
   415
        val rule = Drule.instantiate
berghofe@15798
   416
              (map lifttvar envT', map liftpair cenv)
wenzelm@14718
   417
              (lift_rule (st, i) thm)
ballarin@14174
   418
      in
wenzelm@14718
   419
        if i > nprems_of st then no_tac st
wenzelm@14718
   420
        else st |>
wenzelm@14718
   421
          compose_tac (bires_flag, rule, nprems_of thm) i
ballarin@14174
   422
      end
wenzelm@14718
   423
           handle TERM (msg,_)   => (warning msg; no_tac st)
wenzelm@14718
   424
                | THM  (msg,_,_) => (warning msg; no_tac st);
ballarin@14174
   425
  in
ballarin@14174
   426
    tac
ballarin@14174
   427
  end;
wenzelm@8238
   428
wenzelm@17110
   429
local
wenzelm@17110
   430
ballarin@14174
   431
fun gen_inst _ tac _ (quant, ([], thms)) =
ballarin@14174
   432
      METHOD (fn facts => quant (insert_tac facts THEN' tac thms))
ballarin@14174
   433
  | gen_inst inst_tac _ ctxt (quant, (insts, [thm])) =
ballarin@14174
   434
      METHOD (fn facts =>
ballarin@14174
   435
        quant (insert_tac facts THEN' inst_tac ctxt insts thm))
ballarin@14174
   436
  | gen_inst _ _ _ _ = error "Cannot have instantiations with multiple rules";
wenzelm@14718
   437
ballarin@14174
   438
(* Preserve Var indexes of rl; increment revcut_rl instead.
ballarin@14174
   439
   Copied from tactic.ML *)
ballarin@14174
   440
fun make_elim_preserve rl =
ballarin@14174
   441
  let val {maxidx,...} = rep_thm rl
wenzelm@17110
   442
      fun cvar xi = cterm_of ProtoPure.thy (Var(xi,propT));
ballarin@14174
   443
      val revcut_rl' =
ballarin@14174
   444
          instantiate ([],  [(cvar("V",0), cvar("V",maxidx+1)),
ballarin@14174
   445
                             (cvar("W",0), cvar("W",maxidx+1))]) revcut_rl
ballarin@14174
   446
      val arg = (false, rl, nprems_of rl)
ballarin@14174
   447
      val [th] = Seq.list_of (bicompose false arg 1 revcut_rl')
ballarin@14174
   448
  in  th  end
ballarin@14174
   449
  handle Bind => raise THM("make_elim_preserve", 1, [rl]);
wenzelm@8238
   450
wenzelm@17110
   451
in
wenzelm@17110
   452
wenzelm@17110
   453
val res_inst_meth = gen_inst (bires_inst_tac false) Tactic.resolve_tac;
wenzelm@17110
   454
wenzelm@17110
   455
val eres_inst_meth = gen_inst (bires_inst_tac true) Tactic.eresolve_tac;
wenzelm@17110
   456
ballarin@14174
   457
val cut_inst_meth =
ballarin@14174
   458
  gen_inst
wenzelm@17110
   459
    (fn ctxt => fn insts => bires_inst_tac false ctxt insts o make_elim_preserve)
ballarin@14174
   460
    Tactic.cut_rules_tac;
ballarin@14174
   461
ballarin@14174
   462
val dres_inst_meth =
ballarin@14174
   463
  gen_inst
wenzelm@17110
   464
    (fn ctxt => fn insts => bires_inst_tac true ctxt insts o make_elim_preserve)
ballarin@14174
   465
    Tactic.dresolve_tac;
ballarin@14174
   466
ballarin@14174
   467
val forw_inst_meth =
ballarin@14174
   468
  gen_inst
ballarin@14174
   469
    (fn ctxt => fn insts => fn rule =>
ballarin@14174
   470
       bires_inst_tac false ctxt insts (make_elim_preserve rule) THEN'
ballarin@14174
   471
       assume_tac)
ballarin@14174
   472
    Tactic.forward_tac;
ballarin@14174
   473
ballarin@14174
   474
fun subgoal_tac ctxt sprop =
wenzelm@17110
   475
  DETERM o bires_inst_tac false ctxt [(("psi", 0), sprop)] cut_rl;
ballarin@14174
   476
ballarin@14174
   477
fun subgoals_tac ctxt sprops = EVERY' (map (subgoal_tac ctxt) sprops);
ballarin@14174
   478
ballarin@14174
   479
fun thin_tac ctxt s =
ballarin@14174
   480
  bires_inst_tac true ctxt [(("V", 0), s)] thin_rl;
wenzelm@8238
   481
wenzelm@17110
   482
end;
wenzelm@8329
   483
wenzelm@8329
   484
wenzelm@8351
   485
(* ML tactics *)
wenzelm@8351
   486
wenzelm@17110
   487
val tactic_ref = ref ((fn _ => raise Match): ProofContext.context -> thm list -> tactic);
wenzelm@8351
   488
fun set_tactic f = tactic_ref := f;
wenzelm@8351
   489
wenzelm@8351
   490
fun tactic txt ctxt = METHOD (fn facts =>
wenzelm@9631
   491
  (Context.use_mltext
wenzelm@17110
   492
    ("let fun tactic (ctxt: ProofContext.context) (facts: thm list) : tactic = \
wenzelm@16500
   493
       \let val thm = ProofContext.get_thm_closure ctxt o PureThy.Name\n\
wenzelm@16500
   494
       \  and thms = ProofContext.get_thms_closure ctxt o PureThy.Name in\n"
wenzelm@16500
   495
       ^ txt ^
wenzelm@16500
   496
       "\nend in Method.set_tactic tactic end")
skalberg@15531
   497
    false NONE;
skalberg@15531
   498
    Context.setmp (SOME (ProofContext.theory_of ctxt)) (! tactic_ref ctxt) facts));
wenzelm@8351
   499
wenzelm@8351
   500
wenzelm@5824
   501
wenzelm@17110
   502
(** method syntax **)
wenzelm@17110
   503
wenzelm@17110
   504
(* method text *)
wenzelm@17110
   505
wenzelm@17110
   506
type src = Args.src;
wenzelm@5824
   507
wenzelm@17110
   508
datatype text =
wenzelm@17110
   509
  Basic of (ProofContext.context -> method) |
wenzelm@17110
   510
  Source of src |
wenzelm@17110
   511
  Then of text list |
wenzelm@17110
   512
  Orelse of text list |
wenzelm@17110
   513
  Try of text |
wenzelm@17110
   514
  Repeat1 of text;
wenzelm@17110
   515
wenzelm@17110
   516
val default_text = Source (Args.src (("default", []), Position.none));
wenzelm@17110
   517
val this_text = Basic (K this);
wenzelm@17110
   518
val done_text = Basic (K (SIMPLE_METHOD all_tac));
wenzelm@17110
   519
wenzelm@17110
   520
fun finish_text asm NONE = Basic (close asm)
wenzelm@17110
   521
  | finish_text asm (SOME txt) = Then [txt, Basic (close asm)];
wenzelm@17110
   522
wenzelm@17110
   523
wenzelm@17110
   524
(* method definitions *)
wenzelm@5824
   525
wenzelm@16448
   526
structure MethodsData = TheoryDataFun
wenzelm@16448
   527
(struct
wenzelm@5824
   528
  val name = "Isar/methods";
wenzelm@17110
   529
  type T = (((src -> ProofContext.context -> method) * string) * stamp) NameSpace.table;
wenzelm@5824
   530
wenzelm@16347
   531
  val empty = NameSpace.empty_table;
wenzelm@6546
   532
  val copy = I;
wenzelm@16448
   533
  val extend = I;
wenzelm@16448
   534
  fun merge _ tables = NameSpace.merge_tables eq_snd tables handle Symtab.DUPS dups =>
wenzelm@16347
   535
    error ("Attempt to merge different versions of method(s) " ^ commas_quote dups);
wenzelm@5824
   536
wenzelm@16347
   537
  fun print _ meths =
wenzelm@5824
   538
    let
wenzelm@5824
   539
      fun prt_meth (name, ((_, comment), _)) = Pretty.block
wenzelm@6849
   540
        [Pretty.str (name ^ ":"), Pretty.brk 2, Pretty.str comment];
wenzelm@5824
   541
    in
wenzelm@16347
   542
      [Pretty.big_list "methods:" (map prt_meth (NameSpace.extern_table meths))]
wenzelm@9222
   543
      |> Pretty.chunks |> Pretty.writeln
wenzelm@5824
   544
    end;
wenzelm@16448
   545
end);
wenzelm@5824
   546
wenzelm@15801
   547
val _ = Context.add_setup [MethodsData.init];
wenzelm@5824
   548
val print_methods = MethodsData.print;
wenzelm@7611
   549
wenzelm@5824
   550
wenzelm@5824
   551
(* get methods *)
wenzelm@5824
   552
wenzelm@5916
   553
exception METHOD_FAIL of (string * Position.T) * exn;
wenzelm@5916
   554
wenzelm@5824
   555
fun method thy =
wenzelm@5824
   556
  let
wenzelm@16347
   557
    val (space, meths) = MethodsData.get thy;
wenzelm@5884
   558
    fun meth src =
wenzelm@5884
   559
      let
wenzelm@5884
   560
        val ((raw_name, _), pos) = Args.dest_src src;
wenzelm@5884
   561
        val name = NameSpace.intern space raw_name;
wenzelm@5884
   562
      in
wenzelm@5824
   563
        (case Symtab.lookup (meths, name) of
skalberg@15531
   564
          NONE => error ("Unknown proof method: " ^ quote name ^ Position.str_of pos)
skalberg@15531
   565
        | SOME ((mth, _), _) => transform_failure (curry METHOD_FAIL (name, pos)) (mth src))
wenzelm@5824
   566
      end;
wenzelm@5824
   567
  in meth end;
wenzelm@5824
   568
wenzelm@5824
   569
wenzelm@17110
   570
(* add method *)
wenzelm@5824
   571
wenzelm@5824
   572
fun add_methods raw_meths thy =
wenzelm@5824
   573
  let
wenzelm@16145
   574
    val new_meths = raw_meths |> map (fn (name, f, comment) =>
wenzelm@16347
   575
      (name, ((f, comment), stamp ())));
wenzelm@5824
   576
wenzelm@17110
   577
    fun add meths = NameSpace.extend_table (Sign.naming_of thy) (meths, new_meths)
wenzelm@16347
   578
      handle Symtab.DUPS dups =>
wenzelm@16347
   579
        error ("Duplicate declaration of method(s) " ^ commas_quote dups);
wenzelm@16347
   580
  in MethodsData.map add thy end;
wenzelm@5824
   581
wenzelm@9194
   582
val add_method = add_methods o Library.single;
wenzelm@9194
   583
wenzelm@5824
   584
fun Method name meth cmt = Context.>> (add_methods [(name, meth, cmt)]);
wenzelm@5824
   585
wenzelm@5824
   586
wenzelm@5884
   587
wenzelm@17110
   588
(** concrete syntax **)
wenzelm@5824
   589
wenzelm@5884
   590
(* basic *)
wenzelm@5884
   591
wenzelm@17110
   592
fun syntax (scan:
wenzelm@17110
   593
    (ProofContext.context * Args.T list -> 'a * (ProofContext.context * Args.T list))) =
wenzelm@5884
   594
  Args.syntax "method" scan;
wenzelm@5824
   595
wenzelm@17110
   596
fun simple_args scan f src ctxt : method =
wenzelm@8351
   597
  #2 (syntax (Scan.lift (scan >> (fn x => f x ctxt))) src ctxt);
wenzelm@8351
   598
wenzelm@17110
   599
fun ctxt_args (f: ProofContext.context -> method) src ctxt =
wenzelm@8282
   600
  #2 (syntax (Scan.succeed (f ctxt)) src ctxt);
wenzelm@7555
   601
wenzelm@7555
   602
fun no_args m = ctxt_args (K m);
wenzelm@5884
   603
wenzelm@5884
   604
wenzelm@5884
   605
(* sections *)
wenzelm@5824
   606
wenzelm@17110
   607
type modifier = (ProofContext.context -> ProofContext.context) * ProofContext.context attribute;
wenzelm@7268
   608
wenzelm@7268
   609
local
wenzelm@7268
   610
wenzelm@8381
   611
fun sect ss = Scan.first (map Scan.lift ss);
wenzelm@5884
   612
fun thms ss = Scan.unless (sect ss) Attrib.local_thms;
skalberg@15570
   613
fun thmss ss = Scan.repeat (thms ss) >> List.concat;
wenzelm@5884
   614
wenzelm@7268
   615
fun apply (f, att) (ctxt, ths) = Thm.applys_attributes ((f ctxt, ths), [att]);
wenzelm@5824
   616
wenzelm@7268
   617
fun section ss = (sect ss -- thmss ss) :-- (fn (m, ths) => Scan.depend (fn ctxt =>
wenzelm@7268
   618
  Scan.succeed (apply m (ctxt, ths)))) >> #2;
wenzelm@5884
   619
wenzelm@7601
   620
fun sectioned args ss = args -- Scan.repeat (section ss);
wenzelm@5884
   621
wenzelm@7268
   622
in
wenzelm@5824
   623
wenzelm@5884
   624
fun sectioned_args args ss f src ctxt =
wenzelm@8282
   625
  let val (ctxt', (x, _)) = syntax (sectioned args ss) src ctxt
wenzelm@5921
   626
  in f x ctxt' end;
wenzelm@5884
   627
wenzelm@7601
   628
fun bang_sectioned_args ss f = sectioned_args Args.bang_facts ss f;
wenzelm@9777
   629
fun bang_sectioned_args' ss scan f =
wenzelm@9777
   630
  sectioned_args (Args.bang_facts -- scan >> swap) ss (uncurry f);
wenzelm@7601
   631
fun only_sectioned_args ss f = sectioned_args (Scan.succeed ()) ss (fn () => f);
wenzelm@7268
   632
wenzelm@8093
   633
fun thms_ctxt_args f = sectioned_args (thmss []) [] f;
wenzelm@8093
   634
fun thms_args f = thms_ctxt_args (K o f);
wenzelm@9706
   635
fun thm_args f = thms_args (fn [thm] => f thm | _ => error "Single theorem expected");
wenzelm@5824
   636
wenzelm@7268
   637
end;
wenzelm@7268
   638
wenzelm@5824
   639
wenzelm@12347
   640
(* rules syntax *)
wenzelm@12347
   641
wenzelm@12347
   642
local
wenzelm@12347
   643
wenzelm@12347
   644
val introN = "intro";
wenzelm@12347
   645
val elimN = "elim";
wenzelm@12347
   646
val destN = "dest";
wenzelm@12347
   647
val ruleN = "rule";
wenzelm@12347
   648
wenzelm@12347
   649
fun modifier name kind kind' att =
skalberg@15531
   650
  Args.$$$ name |-- (kind >> K NONE || kind' |-- Args.nat --| Args.colon >> SOME)
wenzelm@17110
   651
    >> (pair (I: ProofContext.context -> ProofContext.context) o att);
wenzelm@12347
   652
wenzelm@12347
   653
val rules_modifiers =
wenzelm@12384
   654
 [modifier destN Args.bang_colon Args.bang ContextRules.dest_bang_local,
wenzelm@12350
   655
  modifier destN Args.colon (Scan.succeed ()) ContextRules.dest_local,
wenzelm@12350
   656
  modifier elimN Args.bang_colon Args.bang ContextRules.elim_bang_local,
wenzelm@12350
   657
  modifier elimN Args.colon (Scan.succeed ()) ContextRules.elim_local,
wenzelm@12350
   658
  modifier introN Args.bang_colon Args.bang ContextRules.intro_bang_local,
wenzelm@12350
   659
  modifier introN Args.colon (Scan.succeed ()) ContextRules.intro_local,
wenzelm@12350
   660
  Args.del -- Args.colon >> K (I, ContextRules.rule_del_local)];
wenzelm@12347
   661
wenzelm@12347
   662
in
wenzelm@12347
   663
wenzelm@12347
   664
fun rules_args m = bang_sectioned_args' rules_modifiers (Scan.lift (Scan.option Args.nat)) m;
wenzelm@12347
   665
wenzelm@12347
   666
fun rules_meth n prems ctxt = METHOD (fn facts =>
wenzelm@12350
   667
  HEADGOAL (insert_tac (prems @ facts) THEN' ObjectLogic.atomize_tac THEN' rules_tac ctxt n));
wenzelm@12347
   668
wenzelm@12347
   669
end;
wenzelm@12347
   670
wenzelm@12347
   671
wenzelm@9539
   672
(* tactic syntax *)
wenzelm@8238
   673
wenzelm@10744
   674
fun nat_thms_args f = uncurry f oo
wenzelm@10744
   675
  (#2 oo syntax (Scan.lift (Scan.optional (Args.parens Args.nat) 0) -- Attrib.local_thmss));
wenzelm@10744
   676
wenzelm@8238
   677
val insts =
wenzelm@9539
   678
  Scan.optional
wenzelm@9565
   679
    (Args.enum1 "and" (Scan.lift (Args.name -- (Args.$$$ "=" |-- Args.!!! Args.name))) --|
wenzelm@9565
   680
      Scan.lift (Args.$$$ "in")) [] -- Attrib.local_thmss;
wenzelm@8238
   681
wenzelm@12119
   682
fun inst_args f src ctxt = f ctxt (#2 (syntax (Args.goal_spec HEADGOAL -- insts) src ctxt));
wenzelm@8537
   683
ballarin@14174
   684
val insts_var =
ballarin@14174
   685
  Scan.optional
ballarin@14174
   686
    (Args.enum1 "and" (Scan.lift (Args.var -- (Args.$$$ "=" |-- Args.!!! Args.name))) --|
ballarin@14174
   687
      Scan.lift (Args.$$$ "in")) [] -- Attrib.local_thmss;
ballarin@14174
   688
wenzelm@17110
   689
fun inst_args_var f src ctxt =
wenzelm@17110
   690
  f ctxt (#2 (syntax (Args.goal_spec HEADGOAL -- insts_var) src ctxt));
wenzelm@8537
   691
wenzelm@12119
   692
fun goal_args' args tac src ctxt = #2 (syntax (Args.goal_spec HEADGOAL -- args >>
ballarin@14215
   693
  (fn (quant, s) => SIMPLE_METHOD' quant (tac s))) src ctxt);
wenzelm@8537
   694
wenzelm@9539
   695
fun goal_args args tac = goal_args' (Scan.lift args) tac;
wenzelm@8238
   696
ballarin@14174
   697
fun goal_args_ctxt' args tac src ctxt =
ballarin@14174
   698
  #2 (syntax (Args.goal_spec HEADGOAL -- args >>
ballarin@14174
   699
  (fn (quant, s) => SIMPLE_METHOD' quant (tac ctxt s))) src ctxt);
wenzelm@8238
   700
ballarin@14174
   701
fun goal_args_ctxt args tac = goal_args_ctxt' (Scan.lift args) tac;
wenzelm@5824
   702
wenzelm@14718
   703
wenzelm@9539
   704
(* misc tactic emulations *)
wenzelm@9539
   705
ballarin@14174
   706
val subgoal_meth = goal_args_ctxt (Scan.repeat1 Args.name) subgoals_tac;
ballarin@14174
   707
val thin_meth = goal_args_ctxt Args.name thin_tac;
wenzelm@9539
   708
val rename_meth = goal_args (Scan.repeat1 Args.name) Tactic.rename_params_tac;
wenzelm@9631
   709
val rotate_meth = goal_args (Scan.optional Args.int 1) Tactic.rotate_tac;
wenzelm@9539
   710
wenzelm@9539
   711
wenzelm@5824
   712
(* pure_methods *)
wenzelm@5824
   713
wenzelm@5824
   714
val pure_methods =
wenzelm@5824
   715
 [("fail", no_args fail, "force failure"),
wenzelm@5824
   716
  ("succeed", no_args succeed, "succeed"),
wenzelm@9587
   717
  ("-", no_args insert_facts, "do nothing (insert current facts only)"),
wenzelm@9539
   718
  ("insert", thms_args insert, "insert theorems, ignoring facts (improper)"),
wenzelm@16145
   719
  ("unfold", thms_args unfold_meth, "unfold definitions"),
wenzelm@12384
   720
  ("intro", thms_args intro, "repeatedly apply introduction rules"),
wenzelm@12384
   721
  ("elim", thms_args elim, "repeatedly apply elimination rules"),
wenzelm@16145
   722
  ("fold", thms_args fold_meth, "fold definitions"),
wenzelm@12829
   723
  ("atomize", (atomize o #2) oo syntax (Args.mode "full"),
wenzelm@11962
   724
    "present local premises as object-level statements"),
wenzelm@12347
   725
  ("rules", rules_args rules_meth, "apply many rules, including proof search"),
wenzelm@12384
   726
  ("rule", thms_ctxt_args some_rule, "apply some intro/elim rule"),
wenzelm@10744
   727
  ("erule", nat_thms_args erule, "apply rule in elimination manner (improper)"),
wenzelm@10744
   728
  ("drule", nat_thms_args drule, "apply rule in destruct manner (improper)"),
wenzelm@10744
   729
  ("frule", nat_thms_args frule, "apply rule in forward manner (improper)"),
wenzelm@8195
   730
  ("this", no_args this, "apply current facts as rules"),
wenzelm@8238
   731
  ("assumption", ctxt_args assumption, "proof by assumption, preferring facts"),
ballarin@14174
   732
  ("rule_tac", inst_args_var res_inst_meth, "apply rule (dynamic instantiation)"),
ballarin@14174
   733
  ("erule_tac", inst_args_var eres_inst_meth, "apply rule in elimination manner (dynamic instantiation)"),
ballarin@14174
   734
  ("drule_tac", inst_args_var dres_inst_meth, "apply rule in destruct manner (dynamic instantiation)"),
ballarin@14174
   735
  ("frule_tac", inst_args_var forw_inst_meth, "apply rule in forward manner (dynamic instantiation)"),
ballarin@14174
   736
  ("cut_tac", inst_args_var cut_inst_meth, "cut rule (dynamic instantiation)"),
ballarin@14174
   737
  ("subgoal_tac", subgoal_meth, "insert subgoal (dynamic instantiation)"),
ballarin@14174
   738
  ("thin_tac", thin_meth, "remove premise (dynamic instantiation)"),
ballarin@14174
   739
  ("rename_tac", rename_meth, "rename parameters of goal (dynamic instantiation)"),
wenzelm@9631
   740
  ("rotate_tac", rotate_meth, "rotate assumptions of goal"),
wenzelm@8351
   741
  ("tactic", simple_args Args.name tactic, "ML tactic as proof method")];
wenzelm@5824
   742
wenzelm@15801
   743
val _ = Context.add_setup [add_methods pure_methods];
wenzelm@5824
   744
wenzelm@5824
   745
wenzelm@16145
   746
(*final declarations of this structure!*)
wenzelm@16145
   747
val unfold = unfold_meth;
wenzelm@16145
   748
val fold = fold_meth;
wenzelm@16145
   749
wenzelm@5824
   750
end;
wenzelm@5824
   751
wenzelm@5824
   752
structure BasicMethod: BASIC_METHOD = Method;
wenzelm@5824
   753
open BasicMethod;