src/HOL/Decision_Procs/langford_data.ML

isabelle update -u control_cartouches;

signature LANGFORD_DATA =
sig
  type entry
  val get: Proof.context -> simpset * (thm * entry) list
  val add: entry -> attribute
  val del: attribute
  val match: Proof.context -> cterm -> entry option
end;

structure Langford_Data: LANGFORD_DATA =
struct

(* data *)

type entry =
  {qe_bnds: thm, qe_nolb : thm , qe_noub: thm,
   gs : thm list, gst : thm, atoms: cterm list};

val eq_key = Thm.eq_thm;
fun eq_data arg = eq_fst eq_key arg;

structure Data = Generic_Data
(
  type T = simpset * (thm * entry) list;
  val empty = (HOL_basic_ss, []);
  val extend = I;
  fun merge ((ss1, es1), (ss2, es2)) : T =
    (merge_ss (ss1, ss2), AList.merge eq_key (K true) (es1, es2));
);

val get = Data.get o Context.Proof;

fun del_data key = apsnd (remove eq_data (key, []));

val del = Thm.declaration_attribute (Data.map o del_data);

fun add entry =
  Thm.declaration_attribute (fn key => fn context => context |> Data.map
    (del_data key #> apsnd (cons (key, entry))));

val add_simp = Thm.declaration_attribute (fn th => fn context =>
  (Data.map o apfst) (simpset_map (Context.proof_of context) (Simplifier.add_simp th)) context);

val del_simp = Thm.declaration_attribute (fn th => fn context =>
  (Data.map o apfst) (simpset_map (Context.proof_of context) (Simplifier.del_simp th)) context);

fun match ctxt tm =
  let
    fun match_inst {qe_bnds, qe_nolb, qe_noub, gs, gst, atoms} pat =
      let
        fun h instT =
          let
            val substT = Thm.instantiate (instT, []);
            val substT_cterm = Drule.cterm_rule substT;

            val qe_bnds' = substT qe_bnds;
            val qe_nolb' = substT qe_nolb;
            val qe_noub' = substT qe_noub;
            val gs' = map substT gs;
            val gst' = substT gst;
            val atoms' = map substT_cterm atoms;
            val result =
             {qe_bnds = qe_bnds', qe_nolb = qe_nolb',
              qe_noub = qe_noub', gs = gs', gst = gst',
              atoms = atoms'};
          in SOME result end;
      in
        (case try Thm.match (pat, tm) of
          NONE => NONE
        | SOME (instT, _) => h instT)
      end;

    fun match_struct (_, entry as ({atoms = atoms, ...}): entry) =
      get_first (match_inst entry) atoms;
  in get_first match_struct (snd (get ctxt)) end;


(* concrete syntax *)

local
  val qeN = "qe";
  val gatherN = "gather";
  val atomsN = "atoms"
  fun keyword k = Scan.lift (Args.$$$ k -- Args.colon) >> K ();
  val any_keyword = keyword qeN || keyword gatherN || keyword atomsN;

  val thms = Scan.repeats (Scan.unless any_keyword Attrib.multi_thm);
  val terms = thms >> map Drule.dest_term;
in

val _ =
  Theory.setup
    (Attrib.setup \<^binding>\<open>langford\<close>
      ((keyword qeN |-- thms) --
       (keyword gatherN |-- thms) --
       (keyword atomsN |-- terms) >> (fn ((qes, gs), atoms) =>
          if length qes = 3 andalso length gs > 1 then
            let
              val [q1, q2, q3] = qes;
              val gst :: gss = gs;
              val entry =
               {qe_bnds = q1, qe_nolb = q2,
                qe_noub = q3, gs = gss, gst = gst, atoms = atoms};
            in add entry end
          else error "Need 3 theorems for qe and at least one for gs"))
      "Langford data");
end;

val _ =
  Theory.setup
    (Attrib.setup \<^binding>\<open>langfordsimp\<close> (Attrib.add_del add_simp del_simp) "Langford simpset");

end;