src/Pure/Isar/context_rules.ML

tuned;

(*  Title:      Pure/Isar/context_rules.ML
    ID:         $Id$
    Author:     Stefan Berghofer and Markus Wenzel, TU Muenchen

Declarations of intro/elim/dest rules in Pure; see
Provers/classical.ML for a more specialized version of the same idea.
*)

signature CONTEXT_RULES =
sig
  type netpair
  type T
  val netpair_bang: ProofContext.context -> netpair
  val netpair: ProofContext.context -> netpair
  val orderlist: ((int * int) * 'a) list -> 'a list
  val find_rules_netpair: bool -> thm list -> term -> netpair -> thm list
  val find_rules: bool -> thm list -> term -> ProofContext.context -> thm list list
  val print_global_rules: theory -> unit
  val print_local_rules: ProofContext.context -> unit
  val addSWrapper: ((int -> tactic) -> int -> tactic) -> theory -> theory
  val addWrapper: ((int -> tactic) -> int -> tactic) -> theory -> theory
  val Swrap: ProofContext.context -> (int -> tactic) -> int -> tactic
  val wrap: ProofContext.context -> (int -> tactic) -> int -> tactic
  val intro_bang_global: int option -> theory attribute
  val elim_bang_global: int option -> theory attribute
  val dest_bang_global: int option -> theory attribute
  val intro_global: int option -> theory attribute
  val elim_global: int option -> theory attribute
  val dest_global: int option -> theory attribute
  val intro_query_global: int option -> theory attribute
  val elim_query_global: int option -> theory attribute
  val dest_query_global: int option -> theory attribute
  val rule_del_global: theory attribute
  val intro_bang_local: int option -> ProofContext.context attribute
  val elim_bang_local: int option -> ProofContext.context attribute
  val dest_bang_local: int option -> ProofContext.context attribute
  val intro_local: int option -> ProofContext.context attribute
  val elim_local: int option -> ProofContext.context attribute
  val dest_local: int option -> ProofContext.context attribute
  val intro_query_local: int option -> ProofContext.context attribute
  val elim_query_local: int option -> ProofContext.context attribute
  val dest_query_local: int option -> ProofContext.context attribute
  val rule_del_local: ProofContext.context attribute
  val addXIs_global: theory * thm list -> theory
  val addXEs_global: theory * thm list -> theory
  val addXDs_global: theory * thm list -> theory
  val delrules_global: theory * thm list -> theory
  val addXIs_local: ProofContext.context * thm list -> ProofContext.context
  val addXEs_local: ProofContext.context * thm list -> ProofContext.context
  val addXDs_local: ProofContext.context * thm list -> ProofContext.context
  val delrules_local: ProofContext.context * thm list -> ProofContext.context
end;

structure ContextRules: CONTEXT_RULES =
struct


(** rule declaration contexts **)

(* rule kinds *)

val intro_bangK = (0, false);
val elim_bangK = (0, true);
val introK = (1, false);
val elimK = (1, true);
val intro_queryK = (2, false);
val elim_queryK = (2, true);

val kind_names =
 [(intro_bangK, "safe introduction rules (intro!)"),
  (elim_bangK, "safe elimination rules (elim!)"),
  (introK, "introduction rules (intro)"),
  (elimK, "elimination rules (elim)"),
  (intro_queryK, "extra introduction rules (intro?)"),
  (elim_queryK, "extra elimination rules (elim?)")];

val rule_kinds = map #1 kind_names;
val rule_indexes = distinct (map #1 rule_kinds);


(* raw data *)

type netpair = ((int * int) * (bool * thm)) Net.net * ((int * int) * (bool * thm)) Net.net;
val empty_netpairs: netpair list = replicate (length rule_indexes) (Net.empty, Net.empty);

datatype T = Rules of
 {next: int,
  rules: (int * ((int * bool) * thm)) list,
  netpairs: netpair list,
  wrappers: (((int -> tactic) -> int -> tactic) * stamp) list *
    (((int -> tactic) -> int -> tactic) * stamp) list};

fun make_rules next rules netpairs wrappers =
  Rules {next = next, rules = rules, netpairs = netpairs, wrappers = wrappers};

fun add_rule (i, b) opt_w th (Rules {next, rules, netpairs, wrappers}) =
  let val w = (case opt_w of SOME w => w | NONE => Tactic.subgoals_of_brl (b, th)) in
    make_rules (next - 1) ((w, ((i, b), th)) :: rules)
      (map_nth_elem i (curry insert_tagged_brl ((w, next), (b, th))) netpairs) wrappers
  end;

fun del_rule th (rs as Rules {next, rules, netpairs, wrappers}) =
  let
    fun eq_th (_, (_, th')) = Drule.eq_thm_prop (th, th');
    fun del b netpair = delete_tagged_brl ((b, th), netpair) handle Net.DELETE => netpair;
  in
    if not (exists eq_th rules) then rs
    else make_rules next (filter_out eq_th rules) (map (del false o del true) netpairs) wrappers
  end;

fun print_rules prt x (Rules {rules, ...}) =
  let
    fun prt_kind (i, b) =
      Pretty.big_list (the (assoc (kind_names, (i, b))) ^ ":")
        (List.mapPartial (fn (_, (k, th)) => if k = (i, b) then SOME (prt x th) else NONE)
          (sort (int_ord o pairself fst) rules));
  in Pretty.writeln (Pretty.chunks (map prt_kind rule_kinds)) end;


(* theory and proof data *)

structure GlobalRulesArgs =
struct
  val name = "Isar/rule_context";
  type T = T;

  val empty = make_rules ~1 [] empty_netpairs ([], []);
  val copy = I;
  val extend = I;

  fun merge _ (Rules {rules = rules1, wrappers = (ws1, ws1'), ...},
      Rules {rules = rules2, wrappers = (ws2, ws2'), ...}) =
    let
      val wrappers = (gen_merge_lists' eq_snd ws1 ws2, gen_merge_lists' eq_snd ws1' ws2');
      val rules = gen_merge_lists' (fn ((_, (k1, th1)), (_, (k2, th2))) =>
          k1 = k2 andalso Drule.eq_thm_prop (th1, th2)) rules1 rules2;
      val next = ~ (length rules);
      val netpairs = Library.foldl (fn (nps, (n, (w, ((i, b), th)))) =>
          map_nth_elem i (curry insert_tagged_brl ((w, n), (b, th))) nps)
        (empty_netpairs, next upto ~1 ~~ rules);
    in make_rules (next - 1) rules netpairs wrappers end;

  val print = print_rules Display.pretty_thm_sg;
end;

structure GlobalRules = TheoryDataFun(GlobalRulesArgs);
val _ = Context.add_setup [GlobalRules.init];
val print_global_rules = GlobalRules.print;

structure LocalRules = ProofDataFun
(struct
  val name = GlobalRulesArgs.name;
  type T = GlobalRulesArgs.T;
  val init = GlobalRules.get;
  val print = print_rules ProofContext.pretty_thm;
end);

val _ = Context.add_setup [LocalRules.init];
val print_local_rules = LocalRules.print;


(* access data *)

fun netpairs ctxt = let val Rules {netpairs, ...} = LocalRules.get ctxt in netpairs end;
val netpair_bang = hd o netpairs;
val netpair = hd o tl o netpairs;


(* retrieving rules *)

fun untaglist [] = []
  | untaglist [(k : int * int, x)] = [x]
  | untaglist ((k, x) :: (rest as (k', x') :: _)) =
      if k = k' then untaglist rest
      else x :: untaglist rest;

fun orderlist brls =
  untaglist (sort (prod_ord int_ord int_ord o pairself fst) brls);

fun orderlist_no_weight brls =
  untaglist (sort (int_ord o pairself (snd o fst)) brls);

fun may_unify weighted t net =
  map snd ((if weighted then orderlist else orderlist_no_weight) (Net.unify_term net t));

fun find_erules _ [] = K []
  | find_erules w (fact :: _) = may_unify w (Logic.strip_assums_concl (Thm.prop_of fact));

fun find_irules w goal = may_unify w (Logic.strip_assums_concl goal);

fun find_rules_netpair weighted facts goal (inet, enet) =
  find_erules weighted facts enet @ find_irules weighted goal inet;

fun find_rules weighted facts goals =
  map (find_rules_netpair weighted facts goals) o netpairs;


(* wrappers *)

fun gen_add_wrapper upd w = GlobalRules.map (fn (rs as Rules {next, rules, netpairs, wrappers}) =>
  make_rules next rules netpairs (upd (fn ws => (w, stamp ()) :: ws) wrappers));

val addSWrapper = gen_add_wrapper Library.apfst;
val addWrapper = gen_add_wrapper Library.apsnd;


fun gen_wrap which ctxt =
  let val Rules {wrappers, ...} = LocalRules.get ctxt
  in fn tac => foldr (fn ((w, _), t) => w t) tac (which wrappers) end;

val Swrap = gen_wrap #1;
val wrap = gen_wrap #2;



(** attributes **)

(* add and del rules *)

local

fun del map_data (x, th) =
  (map_data (del_rule th o del_rule (Tactic.make_elim th)) x, th);

fun add k view map_data opt_w =
  (fn (x, th) => (map_data (add_rule k opt_w (view th)) x, th)) o del map_data;

in

val intro_bang_global  = add intro_bangK I GlobalRules.map;
val elim_bang_global   = add elim_bangK I GlobalRules.map;
val dest_bang_global   = add elim_bangK Tactic.make_elim GlobalRules.map;
val intro_global       = add introK I GlobalRules.map;
val elim_global        = add elimK I GlobalRules.map;
val dest_global        = add elimK Tactic.make_elim GlobalRules.map;
val intro_query_global = add intro_queryK I GlobalRules.map;
val elim_query_global  = add elim_queryK I GlobalRules.map;
val dest_query_global  = add elim_queryK Tactic.make_elim GlobalRules.map;
val rule_del_global    = del GlobalRules.map;

val intro_bang_local   = add intro_bangK I LocalRules.map;
val elim_bang_local    = add elim_bangK I LocalRules.map;
val dest_bang_local    = add elim_bangK Tactic.make_elim LocalRules.map;
val intro_local        = add introK I LocalRules.map;
val elim_local         = add elimK I LocalRules.map;
val dest_local         = add elimK Tactic.make_elim LocalRules.map;
val intro_query_local  = add intro_queryK I LocalRules.map;
val elim_query_local   = add elim_queryK I LocalRules.map;
val dest_query_local   = add elim_queryK Tactic.make_elim LocalRules.map;
val rule_del_local     = del LocalRules.map;

end;

val _ = Context.add_setup
  [#1 o PureThy.add_thms [(("", Drule.equal_intr_rule), [intro_query_global NONE])]];


(* low-level modifiers *)

fun modifier att (x, ths) =
  #1 (Thm.applys_attributes ((x, rev ths), [att]));

val addXIs_global = modifier (intro_query_global NONE);
val addXEs_global = modifier (elim_query_global NONE);
val addXDs_global = modifier (dest_query_global NONE);
val delrules_global = modifier rule_del_global;

val addXIs_local = modifier (intro_query_local NONE);
val addXEs_local = modifier (elim_query_local NONE);
val addXDs_local = modifier (dest_query_local NONE);
val delrules_local = modifier rule_del_local;

end;