src/HOL/Tools/datatype_package.ML
author oheimb
Thu May 31 16:52:20 2001 +0200 (2001-05-31)
changeset 11345 cd605c85e421
parent 10930 7c7a7b0e1d0c
child 11539 0f17da240450
permissions -rw-r--r--
improved iff_add_global, new function add_rules factoring out common behaviour
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(*  Title:      HOL/Tools/datatype_package.ML
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    ID:         $Id$
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    Author:     Stefan Berghofer
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    Copyright   1998  TU Muenchen
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Datatype package for Isabelle/HOL.
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*)
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signature BASIC_DATATYPE_PACKAGE =
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sig
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  val induct_tac : string -> int -> tactic
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  val induct_thm_tac : thm -> string -> int -> tactic
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  val case_tac : string -> int -> tactic
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  val distinct_simproc : simproc
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end;
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signature DATATYPE_PACKAGE =
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sig
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  include BASIC_DATATYPE_PACKAGE
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  val quiet_mode : bool ref
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  val add_datatype : bool -> string list -> (string list * bstring * mixfix *
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    (bstring * string list * mixfix) list) list -> theory -> theory *
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      {distinct : thm list list,
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       inject : thm list list,
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       exhaustion : thm list,
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       rec_thms : thm list,
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       case_thms : thm list list,
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       split_thms : (thm * thm) list,
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       induction : thm,
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       size : thm list,
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       simps : thm list}
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  val add_datatype_i : bool -> string list -> (string list * bstring * mixfix *
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    (bstring * typ list * mixfix) list) list -> theory -> theory *
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      {distinct : thm list list,
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       inject : thm list list,
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       exhaustion : thm list,
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       rec_thms : thm list,
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       case_thms : thm list list,
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       split_thms : (thm * thm) list,
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       induction : thm,
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       size : thm list,
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       simps : thm list}
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  val rep_datatype_i : string list option -> (thm * theory attribute list) list list ->
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    (thm * theory attribute list) list list -> (thm * theory attribute list) -> theory -> theory *
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      {distinct : thm list list,
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       inject : thm list list,
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       exhaustion : thm list,
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       rec_thms : thm list,
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       case_thms : thm list list,
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       split_thms : (thm * thm) list,
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       induction : thm,
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       size : thm list,
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       simps : thm list}
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  val rep_datatype : string list option -> (xstring * Args.src list) list list ->
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    (xstring * Args.src list) list list -> xstring * Args.src list -> theory -> theory *
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      {distinct : thm list list,
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       inject : thm list list,
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       exhaustion : thm list,
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       rec_thms : thm list,
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       case_thms : thm list list,
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       split_thms : (thm * thm) list,
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       induction : thm,
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       size : thm list,
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       simps : thm list}
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  val get_datatypes : theory -> DatatypeAux.datatype_info Symtab.table
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  val get_datatypes_sg : Sign.sg -> DatatypeAux.datatype_info Symtab.table
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  val print_datatypes : theory -> unit
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  val datatype_info_sg : Sign.sg -> string -> DatatypeAux.datatype_info option
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  val datatype_info : theory -> string -> DatatypeAux.datatype_info option
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  val datatype_info_sg_err : Sign.sg -> string -> DatatypeAux.datatype_info
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  val datatype_info_err : theory -> string -> DatatypeAux.datatype_info
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  val constrs_of : theory -> string -> term list option
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  val constrs_of_sg : Sign.sg -> string -> term list option
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  val case_const_of : theory -> string -> term option
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  val weak_case_congs_of : theory -> thm list
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  val weak_case_congs_of_sg : Sign.sg -> thm list
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  val setup: (theory -> theory) list
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end;
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structure DatatypePackage : DATATYPE_PACKAGE =
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struct
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open DatatypeAux;
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val quiet_mode = quiet_mode;
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(* data kind 'HOL/datatypes' *)
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structure DatatypesArgs =
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struct
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  val name = "HOL/datatypes";
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  type T = datatype_info Symtab.table;
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  val empty = Symtab.empty;
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  val copy = I;
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  val prep_ext = I;
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  val merge: T * T -> T = Symtab.merge (K true);
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  fun print sg tab =
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    Pretty.writeln (Pretty.strs ("datatypes:" ::
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      map #1 (Sign.cond_extern_table sg Sign.typeK tab)));
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end;
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structure DatatypesData = TheoryDataFun(DatatypesArgs);
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val get_datatypes_sg = DatatypesData.get_sg;
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val get_datatypes = DatatypesData.get;
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val put_datatypes = DatatypesData.put;
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val print_datatypes = DatatypesData.print;
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(** theory information about datatypes **)
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fun datatype_info_sg sg name = Symtab.lookup (get_datatypes_sg sg, name);
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fun datatype_info_sg_err sg name = (case datatype_info_sg sg name of
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      Some info => info
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    | None => error ("Unknown datatype " ^ quote name));
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val datatype_info = datatype_info_sg o Theory.sign_of;
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fun datatype_info_err thy name = (case datatype_info thy name of
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      Some info => info
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    | None => error ("Unknown datatype " ^ quote name));
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fun constrs_of_sg sg tname = (case datatype_info_sg sg tname of
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   Some {index, descr, ...} =>
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     let val (_, _, constrs) = the (assoc (descr, index))
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     in Some (map (fn (cname, _) => Const (cname, the (Sign.const_type sg cname))) constrs)
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     end
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 | _ => None);
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val constrs_of = constrs_of_sg o Theory.sign_of;
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fun case_const_of thy tname = (case datatype_info thy tname of
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   Some {case_name, ...} => Some (Const (case_name, the (Sign.const_type
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     (Theory.sign_of thy) case_name)))
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 | _ => None);
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val weak_case_congs_of_sg = map (#weak_case_cong o #2) o Symtab.dest o get_datatypes_sg;
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val weak_case_congs_of = weak_case_congs_of_sg o Theory.sign_of;
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fun find_tname var Bi =
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  let val frees = map dest_Free (term_frees Bi)
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      val params = Logic.strip_params Bi;
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  in case assoc (frees @ params, var) of
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       None => error ("No such variable in subgoal: " ^ quote var)
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     | Some(Type (tn, _)) => tn
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     | _ => error ("Cannot determine type of " ^ quote var)
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  end;
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fun infer_tname state i aterm =
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  let
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    val sign = Thm.sign_of_thm state;
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    val (_, _, Bi, _) = Thm.dest_state (state, i)
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    val params = Logic.strip_params Bi;   (*params of subgoal i*)
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    val params = rev (rename_wrt_term Bi params);   (*as they are printed*)
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    val (types, sorts) = types_sorts state;
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    fun types' (a, ~1) = (case assoc (params, a) of None => types(a, ~1) | sm => sm)
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      | types' ixn = types ixn;
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    val (ct, _) = read_def_cterm (sign, types', sorts) [] false (aterm, TypeInfer.logicT);
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  in case #T (rep_cterm ct) of
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       Type (tn, _) => tn
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     | _ => error ("Cannot determine type of " ^ quote aterm)
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  end;
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(*Warn if the (induction) variable occurs Free among the premises, which
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  usually signals a mistake.  But calls the tactic either way!*)
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fun occs_in_prems tacf vars =
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  SUBGOAL (fn (Bi, i) =>
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           (if  exists (fn Free (a, _) => a mem vars)
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                      (foldr add_term_frees (#2 (strip_context Bi), []))
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             then warning "Induction variable occurs also among premises!"
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             else ();
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            tacf i));
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(* generic induction tactic for datatypes *)
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local
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fun prep_var (Var (ixn, _), Some x) = Some (implode (tl (explode (Syntax.string_of_vname ixn))), x)
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  | prep_var _ = None;
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fun prep_inst (concl, xs) =	(*exception LIST*)
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  let val vs = InductMethod.vars_of concl
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  in mapfilter prep_var (Library.drop (length vs - length xs, vs) ~~ xs) end;
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in
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fun gen_induct_tac (varss, opt_rule) i state =
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  let
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    val (_, _, Bi, _) = Thm.dest_state (state, i);
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    val {sign, ...} = Thm.rep_thm state;
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    val (rule, rule_name) =
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      (case opt_rule of
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        Some r => (r, "Induction rule")
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      | None =>
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          let val tn = find_tname (hd (mapfilter I (flat varss))) Bi
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          in (#induction (datatype_info_sg_err sign tn), "Induction rule for type " ^ tn) end);
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    val concls = InductMethod.concls_of rule;
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    val insts = flat (map prep_inst (concls ~~ varss)) handle LIST _ =>
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      error (rule_name ^ " has different numbers of variables");
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  in occs_in_prems (Tactic.res_inst_tac insts rule) (map #2 insts) i state end;
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fun induct_tac s = gen_induct_tac (map (Library.single o Some) (Syntax.read_idents s), None);
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fun induct_thm_tac th s =
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  gen_induct_tac ([map Some (Syntax.read_idents s)], Some th);
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end;
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(* generic case tactic for datatypes *)
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fun case_inst_tac t rule i state =
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  let
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    val _ $ Var (ixn, _) $ _ = HOLogic.dest_Trueprop
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      (hd (Logic.strip_assums_hyp (hd (Thm.prems_of rule))));
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    val exh_vname = implode (tl (explode (Syntax.string_of_vname ixn)));
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  in Tactic.res_inst_tac [(exh_vname, t)] rule i state end;
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fun gen_case_tac (t, Some rule) i state = case_inst_tac t rule i state
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  | gen_case_tac (t, None) i state =
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      let val tn = infer_tname state i t in
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        if tn = HOLogic.boolN then Tactic.res_inst_tac [("P", t)] case_split_thm i state
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        else case_inst_tac t (#exhaustion (datatype_info_sg_err (Thm.sign_of_thm state) tn)) i state
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      end;
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fun case_tac t = gen_case_tac (t, None);
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(** Isar tactic emulations **)
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local
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val rule_spec = Scan.lift (Args.$$$ "rule" -- Args.$$$ ":");
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val opt_rule = Scan.option (rule_spec |-- Attrib.local_thm);
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val varss = Args.and_list (Scan.repeat (Scan.unless rule_spec (Scan.lift Args.name_dummy)));
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in
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val tactic_emulations =
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 [("induct_tac", Method.goal_args' (varss -- opt_rule) gen_induct_tac,
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    "induct_tac emulation (dynamic instantiation!)"),
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  ("case_tac", Method.goal_args' (Scan.lift Args.name -- opt_rule) gen_case_tac,
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    "case_tac emulation (dynamic instantiation!)")];
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end;
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(** induct method setup **)
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(* case names *)
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local
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fun dt_recs (DtTFree _) = []
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  | dt_recs (DtType (_, dts)) = flat (map dt_recs dts)
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  | dt_recs (DtRec i) = [i];
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fun dt_cases (descr: descr) (_, args, constrs) =
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  let
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    fun the_bname i = Sign.base_name (#1 (the (assoc (descr, i))));
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    val bnames = map the_bname (distinct (flat (map dt_recs args)));
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  in map (fn (c, _) => space_implode "_" (Sign.base_name c :: bnames)) constrs end;
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fun induct_cases descr =
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  DatatypeProp.indexify_names (flat (map (dt_cases descr) (map #2 descr)));
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fun exhaust_cases descr i = dt_cases descr (the (assoc (descr, i)));
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in
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fun mk_case_names_induct descr = RuleCases.case_names (induct_cases descr);
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fun mk_case_names_exhausts descr new =
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  map (RuleCases.case_names o exhaust_cases descr o #1)
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    (filter (fn ((_, (name, _, _))) => name mem_string new) descr);
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end;
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fun add_rules simps case_thms size_thms rec_thms inject distinct
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                  weak_case_congs cong_att =
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  (#1 o PureThy.add_thmss [(("simps", simps), []),
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    (("", flat case_thms @ size_thms @ 
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          flat distinct  @ rec_thms), [Simplifier.simp_add_global]),
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    (("", flat inject),               [iff_add_global]),
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    (("", flat distinct RL [notE]),   [Classical.safe_elim_global]),
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    (("", weak_case_congs),           [cong_att])]);
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(* add_cases_induct *)
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fun add_cases_induct infos =
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  let
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    fun proj _ 1 thm = thm
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      | proj i n thm =
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          (if i + 1 < n then (fn th => th RS conjunct1) else I)
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            (Library.funpow i (fn th => th RS conjunct2) thm)
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          |> Drule.standard
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          |> RuleCases.save thm;
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    fun add (ths, (name, {index, descr, induction, exhaustion, ...}: datatype_info)) =
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      (("", proj index (length descr) induction), [InductAttrib.induct_type_global name]) ::
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      (("", exhaustion), [InductAttrib.cases_type_global name]) :: ths;
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  in #1 o PureThy.add_thms (foldl add ([], infos)) end;
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(**** simplification procedure for showing distinctness of constructors ****)
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fun stripT (i, Type ("fun", [_, T])) = stripT (i + 1, T)
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  | stripT p = p;
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fun stripC (i, f $ x) = stripC (i + 1, f)
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  | stripC p = p;
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val distinctN = "constr_distinct";
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exception ConstrDistinct of term;
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fun distinct_proc sg _ (t as Const ("op =", _) $ t1 $ t2) =
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  (case (stripC (0, t1), stripC (0, t2)) of
berghofe@7060
   330
     ((i, Const (cname1, T1)), (j, Const (cname2, T2))) =>
berghofe@7060
   331
         (case (stripT (0, T1), stripT (0, T2)) of
berghofe@7060
   332
            ((i', Type (tname1, _)), (j', Type (tname2, _))) =>
berghofe@7060
   333
                if tname1 = tname2 andalso not (cname1 = cname2) andalso i = i' andalso j = j' then
berghofe@7015
   334
                   (case (constrs_of_sg sg tname1) of
berghofe@7015
   335
                      Some constrs => let val cnames = map (fst o dest_Const) constrs
berghofe@7015
   336
                        in if cname1 mem cnames andalso cname2 mem cnames then
berghofe@7015
   337
                             let val eq_t = Logic.mk_equals (t, Const ("False", HOLogic.boolT));
berghofe@7015
   338
                                 val eq_ct = cterm_of sg eq_t;
berghofe@7015
   339
                                 val Datatype_thy = theory "Datatype";
berghofe@7015
   340
                                 val [In0_inject, In1_inject, In0_not_In1, In1_not_In0] =
berghofe@7015
   341
                                   map (get_thm Datatype_thy)
berghofe@7015
   342
                                     ["In0_inject", "In1_inject", "In0_not_In1", "In1_not_In0"]
berghofe@7015
   343
                             in (case (#distinct (datatype_info_sg_err sg tname1)) of
berghofe@7015
   344
                                 QuickAndDirty => Some (Thm.invoke_oracle
berghofe@7015
   345
                                   Datatype_thy distinctN (sg, ConstrDistinct eq_t))
berghofe@7015
   346
                               | FewConstrs thms => Some (prove_goalw_cterm [] eq_ct (K
berghofe@7015
   347
                                   [rtac eq_reflection 1, rtac iffI 1, rtac notE 1,
berghofe@7015
   348
                                    atac 2, resolve_tac thms 1, etac FalseE 1]))
berghofe@7015
   349
                               | ManyConstrs (thm, ss) => Some (prove_goalw_cterm [] eq_ct (K
berghofe@7015
   350
                                   [rtac eq_reflection 1, rtac iffI 1, dtac thm 1,
berghofe@7015
   351
                                    full_simp_tac ss 1,
berghofe@7015
   352
                                    REPEAT (dresolve_tac [In0_inject, In1_inject] 1),
berghofe@7015
   353
                                    eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1,
berghofe@7015
   354
                                    etac FalseE 1])))
berghofe@7015
   355
                             end
berghofe@7015
   356
                           else None
berghofe@7015
   357
                        end
berghofe@7015
   358
                    | None => None)
berghofe@7015
   359
                else None
berghofe@7015
   360
          | _ => None)
berghofe@7015
   361
   | _ => None)
berghofe@7015
   362
  | distinct_proc sg _ _ = None;
berghofe@7015
   363
wenzelm@8100
   364
val distinct_pats = [Thm.read_cterm (Theory.sign_of HOL.thy) ("s = t", HOLogic.termT)];
berghofe@7049
   365
val distinct_simproc = mk_simproc distinctN distinct_pats distinct_proc;
berghofe@7015
   366
berghofe@7015
   367
val dist_ss = HOL_ss addsimprocs [distinct_simproc];
berghofe@7015
   368
berghofe@7015
   369
val simproc_setup =
berghofe@7015
   370
  [Theory.add_oracle (distinctN, fn (_, ConstrDistinct t) => t),
berghofe@7015
   371
   fn thy => (simpset_ref_of thy := simpset_of thy addsimprocs [distinct_simproc]; thy)];
berghofe@7015
   372
berghofe@7015
   373
berghofe@5177
   374
(* prepare types *)
berghofe@5177
   375
berghofe@5177
   376
fun read_typ sign ((Ts, sorts), str) =
berghofe@5177
   377
  let
berghofe@5177
   378
    val T = Type.no_tvars (Sign.read_typ (sign, (curry assoc)
berghofe@5177
   379
      (map (apfst (rpair ~1)) sorts)) str) handle TYPE (msg, _, _) => error msg
berghofe@5177
   380
  in (Ts @ [T], add_typ_tfrees (T, sorts)) end;
berghofe@5177
   381
berghofe@5177
   382
fun cert_typ sign ((Ts, sorts), raw_T) =
berghofe@5177
   383
  let
berghofe@5177
   384
    val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle
berghofe@5177
   385
      TYPE (msg, _, _) => error msg;
berghofe@5177
   386
    val sorts' = add_typ_tfrees (T, sorts)
berghofe@5177
   387
  in (Ts @ [T],
berghofe@5177
   388
      case duplicates (map fst sorts') of
berghofe@5177
   389
         [] => sorts'
berghofe@5177
   390
       | dups => error ("Inconsistent sort constraints for " ^ commas dups))
berghofe@5177
   391
  end;
berghofe@5177
   392
berghofe@5177
   393
berghofe@5177
   394
(**** make datatype info ****)
berghofe@5177
   395
berghofe@5177
   396
fun make_dt_info descr induct reccomb_names rec_thms
wenzelm@10121
   397
    (((((((((i, (_, (tname, _, _))), case_name), case_thms),
wenzelm@10121
   398
      exhaustion_thm), distinct_thm), inject), nchotomy), case_cong), weak_case_cong) =
wenzelm@10121
   399
  (tname,
wenzelm@10121
   400
   {index = i,
wenzelm@10121
   401
    descr = descr,
wenzelm@10121
   402
    rec_names = reccomb_names,
wenzelm@10121
   403
    rec_rewrites = rec_thms,
wenzelm@10121
   404
    case_name = case_name,
wenzelm@10121
   405
    case_rewrites = case_thms,
wenzelm@10121
   406
    induction = induct,
wenzelm@10121
   407
    exhaustion = exhaustion_thm,
wenzelm@10121
   408
    distinct = distinct_thm,
wenzelm@10121
   409
    inject = inject,
wenzelm@10121
   410
    nchotomy = nchotomy,
wenzelm@10121
   411
    case_cong = case_cong,
wenzelm@10121
   412
    weak_case_cong = weak_case_cong});
berghofe@5177
   413
berghofe@5177
   414
berghofe@5177
   415
(********************* axiomatic introduction of datatypes ********************)
berghofe@5177
   416
wenzelm@8437
   417
fun add_and_get_axioms_atts label tnames attss ts thy =
wenzelm@8437
   418
  foldr (fn (((tname, atts), t), (thy', axs)) =>
berghofe@5177
   419
    let
wenzelm@8437
   420
      val (thy'', [ax]) = thy' |>
berghofe@5661
   421
        Theory.add_path tname |>
wenzelm@8437
   422
        PureThy.add_axioms_i [((label, t), atts)];
berghofe@5661
   423
    in (Theory.parent_path thy'', ax::axs)
wenzelm@8437
   424
    end) (tnames ~~ attss ~~ ts, (thy, []));
wenzelm@8437
   425
wenzelm@8437
   426
fun add_and_get_axioms label tnames =
wenzelm@8437
   427
  add_and_get_axioms_atts label tnames (replicate (length tnames) []);
berghofe@5177
   428
berghofe@5177
   429
fun add_and_get_axiomss label tnames tss thy =
berghofe@5177
   430
  foldr (fn ((tname, ts), (thy', axss)) =>
berghofe@5177
   431
    let
wenzelm@8437
   432
      val (thy'', [axs]) = thy' |>
berghofe@5661
   433
        Theory.add_path tname |>
berghofe@5177
   434
        PureThy.add_axiomss_i [((label, ts), [])];
berghofe@5661
   435
    in (Theory.parent_path thy'', axs::axss)
berghofe@5177
   436
    end) (tnames ~~ tss, (thy, []));
berghofe@5177
   437
wenzelm@8437
   438
fun add_datatype_axm flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   439
    case_names_induct case_names_exhausts thy =
berghofe@5177
   440
  let
berghofe@5177
   441
    val descr' = flat descr;
berghofe@5177
   442
    val recTs = get_rec_types descr' sorts;
berghofe@5578
   443
    val used = foldr add_typ_tfree_names (recTs, []);
berghofe@5177
   444
    val newTs = take (length (hd descr), recTs);
berghofe@5177
   445
berghofe@7015
   446
    val no_size = exists (fn (_, (_, _, constrs)) => exists (fn (_, cargs) => exists
berghofe@7015
   447
      (fn (DtType ("fun", [_, DtRec _])) => true | _ => false) cargs) constrs) descr';
berghofe@7015
   448
berghofe@5177
   449
    (**** declare new types and constants ****)
berghofe@5177
   450
berghofe@5177
   451
    val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr);
berghofe@5177
   452
berghofe@5177
   453
    val constr_decls = map (fn (((_, (_, _, constrs)), T), constr_syntax') =>
berghofe@5177
   454
      map (fn ((_, cargs), (cname, mx)) =>
berghofe@5177
   455
        (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5177
   456
          (constrs ~~ constr_syntax')) ((hd descr) ~~ newTs ~~ constr_syntax);
berghofe@5177
   457
berghofe@5578
   458
    val rec_result_Ts = map TFree (variantlist (replicate (length descr') "'t", used) ~~
berghofe@5578
   459
      replicate (length descr') HOLogic.termS);
berghofe@5177
   460
berghofe@5177
   461
    val reccomb_fn_Ts = flat (map (fn (i, (_, _, constrs)) =>
berghofe@5177
   462
      map (fn (_, cargs) =>
berghofe@5177
   463
        let
berghofe@7015
   464
          val Ts = map (typ_of_dtyp descr' sorts) cargs;
berghofe@7015
   465
          val recs = filter (is_rec_type o fst) (cargs ~~ Ts);
berghofe@7015
   466
berghofe@7015
   467
          fun mk_argT (DtRec k, _) = nth_elem (k, rec_result_Ts)
berghofe@7015
   468
            | mk_argT (DtType ("fun", [_, DtRec k]), Type ("fun", [T, _])) =
berghofe@7015
   469
               T --> nth_elem (k, rec_result_Ts);
berghofe@7015
   470
berghofe@7015
   471
          val argTs = Ts @ map mk_argT recs
berghofe@5177
   472
        in argTs ---> nth_elem (i, rec_result_Ts)
berghofe@5177
   473
        end) constrs) descr');
berghofe@5177
   474
berghofe@5177
   475
    val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec";
berghofe@5177
   476
    val reccomb_names = if length descr' = 1 then [big_reccomb_name] else
berghofe@5177
   477
      (map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int)
berghofe@5177
   478
        (1 upto (length descr')));
berghofe@5177
   479
berghofe@9739
   480
    val size_names = DatatypeProp.indexify_names
berghofe@9739
   481
      (map (fn T => name_of_typ T ^ "_size") (drop (length (hd descr), recTs)));
berghofe@5177
   482
berghofe@5578
   483
    val freeT = TFree (variant used "'t", HOLogic.termS);
berghofe@5177
   484
    val case_fn_Ts = map (fn (i, (_, _, constrs)) =>
berghofe@5177
   485
      map (fn (_, cargs) =>
berghofe@5177
   486
        let val Ts = map (typ_of_dtyp descr' sorts) cargs
berghofe@5177
   487
        in Ts ---> freeT end) constrs) (hd descr);
berghofe@5177
   488
berghofe@5177
   489
    val case_names = map (fn s => (s ^ "_case")) new_type_names;
berghofe@5177
   490
berghofe@6305
   491
    val thy2' = thy |>
berghofe@5177
   492
berghofe@5177
   493
      (** new types **)
berghofe@5177
   494
berghofe@5177
   495
      curry (foldr (fn (((name, mx), tvs), thy') => thy' |>
wenzelm@6385
   496
          TypedefPackage.add_typedecls [(name, tvs, mx)]))
wenzelm@6385
   497
        (types_syntax ~~ tyvars) |>
berghofe@5661
   498
      add_path flat_names (space_implode "_" new_type_names) |>
berghofe@5177
   499
berghofe@5177
   500
      (** primrec combinators **)
berghofe@5177
   501
berghofe@5177
   502
      Theory.add_consts_i (map (fn ((name, T), T') =>
berghofe@5177
   503
        (name, reccomb_fn_Ts @ [T] ---> T', NoSyn))
berghofe@5177
   504
          (reccomb_names ~~ recTs ~~ rec_result_Ts)) |>
berghofe@5177
   505
berghofe@5177
   506
      (** case combinators **)
berghofe@5177
   507
berghofe@5177
   508
      Theory.add_consts_i (map (fn ((name, T), Ts) =>
berghofe@5177
   509
        (name, Ts @ [T] ---> freeT, NoSyn))
berghofe@5177
   510
          (case_names ~~ newTs ~~ case_fn_Ts)) |>
berghofe@6305
   511
      Theory.add_trrules_i (DatatypeProp.make_case_trrules new_type_names descr);
berghofe@6305
   512
wenzelm@6394
   513
    val reccomb_names' = map (Sign.intern_const (Theory.sign_of thy2')) reccomb_names;
wenzelm@6394
   514
    val case_names' = map (Sign.intern_const (Theory.sign_of thy2')) case_names;
berghofe@6305
   515
berghofe@6305
   516
    val thy2 = thy2' |>
berghofe@5177
   517
berghofe@5177
   518
      (** size functions **)
berghofe@5177
   519
berghofe@7015
   520
      (if no_size then I else Theory.add_consts_i (map (fn (s, T) =>
berghofe@5177
   521
        (Sign.base_name s, T --> HOLogic.natT, NoSyn))
berghofe@7015
   522
          (size_names ~~ drop (length (hd descr), recTs)))) |>
berghofe@5661
   523
berghofe@5661
   524
      (** constructors **)
berghofe@5661
   525
berghofe@5661
   526
      parent_path flat_names |>
berghofe@5661
   527
      curry (foldr (fn (((((_, (_, _, constrs)), T), tname),
berghofe@5661
   528
        constr_syntax'), thy') => thy' |>
berghofe@5661
   529
          add_path flat_names tname |>
berghofe@5661
   530
            Theory.add_consts_i (map (fn ((_, cargs), (cname, mx)) =>
berghofe@5661
   531
              (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5661
   532
                (constrs ~~ constr_syntax')) |>
berghofe@5661
   533
          parent_path flat_names))
berghofe@5661
   534
            (hd descr ~~ newTs ~~ new_type_names ~~ constr_syntax);
berghofe@5177
   535
berghofe@5177
   536
    (**** introduction of axioms ****)
berghofe@5177
   537
berghofe@5661
   538
    val rec_axs = DatatypeProp.make_primrecs new_type_names descr sorts thy2;
berghofe@9739
   539
    val size_axs = if no_size then [] else DatatypeProp.make_size descr sorts thy2;
berghofe@5661
   540
wenzelm@8437
   541
    val (thy3, (([induct], [rec_thms]), inject)) =
wenzelm@8437
   542
      thy2 |>
berghofe@5661
   543
      Theory.add_path (space_implode "_" new_type_names) |>
wenzelm@10911
   544
      PureThy.add_axioms_i [(("induct", DatatypeProp.make_ind descr sorts),
wenzelm@10911
   545
        [Drule.rule_attribute (K InductivePackage.rulify), case_names_induct])] |>>>
wenzelm@8437
   546
      PureThy.add_axiomss_i [(("recs", rec_axs), [])] |>>
wenzelm@8437
   547
      (if no_size then I else #1 o PureThy.add_axiomss_i [(("size", size_axs), [])]) |>>
wenzelm@8437
   548
      Theory.parent_path |>>>
berghofe@5177
   549
      add_and_get_axiomss "inject" new_type_names
berghofe@5177
   550
        (DatatypeProp.make_injs descr sorts);
berghofe@7015
   551
    val size_thms = if no_size then [] else get_thms thy3 "size";
berghofe@5177
   552
    val (thy4, distinct) = add_and_get_axiomss "distinct" new_type_names
berghofe@5177
   553
      (DatatypeProp.make_distincts new_type_names descr sorts thy3) thy3;
wenzelm@8437
   554
wenzelm@8437
   555
    val exhaust_ts = DatatypeProp.make_casedists descr sorts;
wenzelm@8437
   556
    val (thy5, exhaustion) = add_and_get_axioms_atts "exhaust" new_type_names
wenzelm@8437
   557
      (map Library.single case_names_exhausts) exhaust_ts thy4;
berghofe@5177
   558
    val (thy6, case_thms) = add_and_get_axiomss "cases" new_type_names
berghofe@5177
   559
      (DatatypeProp.make_cases new_type_names descr sorts thy5) thy5;
berghofe@5177
   560
    val (split_ts, split_asm_ts) = ListPair.unzip
berghofe@5177
   561
      (DatatypeProp.make_splits new_type_names descr sorts thy6);
berghofe@5177
   562
    val (thy7, split) = add_and_get_axioms "split" new_type_names split_ts thy6;
berghofe@5177
   563
    val (thy8, split_asm) = add_and_get_axioms "split_asm" new_type_names
berghofe@5177
   564
      split_asm_ts thy7;
berghofe@5177
   565
    val (thy9, nchotomys) = add_and_get_axioms "nchotomy" new_type_names
berghofe@5177
   566
      (DatatypeProp.make_nchotomys descr sorts) thy8;
berghofe@5177
   567
    val (thy10, case_congs) = add_and_get_axioms "case_cong" new_type_names
berghofe@5177
   568
      (DatatypeProp.make_case_congs new_type_names descr sorts thy9) thy9;
nipkow@8601
   569
    val (thy11, weak_case_congs) = add_and_get_axioms "weak_case_cong" new_type_names
nipkow@8601
   570
      (DatatypeProp.make_weak_case_congs new_type_names descr sorts thy10) thy10;
wenzelm@8405
   571
berghofe@6305
   572
    val dt_infos = map (make_dt_info descr' induct reccomb_names' rec_thms)
berghofe@6305
   573
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names' ~~ case_thms ~~
berghofe@7015
   574
        exhaustion ~~ replicate (length (hd descr)) QuickAndDirty ~~ inject ~~
wenzelm@10121
   575
          nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   576
berghofe@5177
   577
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
wenzelm@9386
   578
    val split_thms = split ~~ split_asm;
berghofe@5177
   579
nipkow@8601
   580
    val thy12 = thy11 |>
berghofe@5661
   581
      Theory.add_path (space_implode "_" new_type_names) |>
oheimb@11345
   582
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   583
                weak_case_congs Simplifier.cong_add_global |> 
berghofe@5177
   584
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@8306
   585
      add_cases_induct dt_infos |>
wenzelm@9386
   586
      Theory.parent_path |>
wenzelm@9386
   587
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   588
  in
nipkow@8601
   589
    (thy12,
berghofe@5177
   590
     {distinct = distinct,
berghofe@5177
   591
      inject = inject,
berghofe@5177
   592
      exhaustion = exhaustion,
berghofe@5177
   593
      rec_thms = rec_thms,
berghofe@5177
   594
      case_thms = case_thms,
wenzelm@9386
   595
      split_thms = split_thms,
berghofe@5177
   596
      induction = induct,
berghofe@5177
   597
      size = size_thms,
berghofe@5177
   598
      simps = simps})
berghofe@5177
   599
  end;
berghofe@5177
   600
berghofe@5177
   601
berghofe@5177
   602
(******************* definitional introduction of datatypes *******************)
berghofe@5177
   603
wenzelm@8437
   604
fun add_datatype_def flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   605
    case_names_induct case_names_exhausts thy =
berghofe@5177
   606
  let
wenzelm@6360
   607
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   608
berghofe@7015
   609
    val (thy2, inject, distinct, dist_rewrites, simproc_dists, induct) = thy |>
berghofe@5661
   610
      DatatypeRepProofs.representation_proofs flat_names dt_info new_type_names descr sorts
wenzelm@8437
   611
        types_syntax constr_syntax case_names_induct;
berghofe@5177
   612
wenzelm@8437
   613
    val (thy3, casedist_thms) = DatatypeAbsProofs.prove_casedist_thms new_type_names descr
wenzelm@8437
   614
      sorts induct case_names_exhausts thy2;
berghofe@8478
   615
    val (thy4, (reccomb_names, rec_thms)) = DatatypeAbsProofs.prove_primrec_thms
berghofe@7015
   616
      flat_names new_type_names descr sorts dt_info inject dist_rewrites dist_ss induct thy3;
wenzelm@8437
   617
    val (thy6, (case_thms, case_names)) = DatatypeAbsProofs.prove_case_thms
berghofe@5661
   618
      flat_names new_type_names descr sorts reccomb_names rec_thms thy4;
berghofe@5177
   619
    val (thy7, split_thms) = DatatypeAbsProofs.prove_split_thms new_type_names
berghofe@5177
   620
      descr sorts inject dist_rewrites casedist_thms case_thms thy6;
berghofe@5177
   621
    val (thy8, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   622
      descr sorts casedist_thms thy7;
berghofe@5177
   623
    val (thy9, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   624
      descr sorts nchotomys case_thms thy8;
nipkow@8601
   625
    val (thy10, weak_case_congs) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   626
      descr sorts thy9;
nipkow@8601
   627
    val (thy11, size_thms) = DatatypeAbsProofs.prove_size_thms flat_names new_type_names
nipkow@8601
   628
      descr sorts reccomb_names rec_thms thy10;
berghofe@5177
   629
berghofe@5177
   630
    val dt_infos = map (make_dt_info (flat descr) induct reccomb_names rec_thms)
berghofe@5177
   631
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names ~~ case_thms ~~
wenzelm@10121
   632
        casedist_thms ~~ simproc_dists ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   633
berghofe@5177
   634
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   635
nipkow@8601
   636
    val thy12 = thy11 |>
berghofe@5661
   637
      Theory.add_path (space_implode "_" new_type_names) |>
oheimb@11345
   638
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   639
                weak_case_congs (Simplifier.change_global_ss (op addcongs)) |> 
berghofe@5177
   640
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@8306
   641
      add_cases_induct dt_infos |>
wenzelm@9386
   642
      Theory.parent_path |>
wenzelm@9386
   643
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   644
  in
nipkow@8601
   645
    (thy12,
berghofe@5177
   646
     {distinct = distinct,
berghofe@5177
   647
      inject = inject,
berghofe@5177
   648
      exhaustion = casedist_thms,
berghofe@5177
   649
      rec_thms = rec_thms,
berghofe@5177
   650
      case_thms = case_thms,
berghofe@5177
   651
      split_thms = split_thms,
berghofe@5177
   652
      induction = induct,
berghofe@5177
   653
      size = size_thms,
berghofe@5177
   654
      simps = simps})
berghofe@5177
   655
  end;
berghofe@5177
   656
berghofe@5177
   657
wenzelm@6385
   658
(*********************** declare existing type as datatype *********************)
berghofe@5177
   659
wenzelm@6385
   660
fun gen_rep_datatype apply_theorems alt_names raw_distinct raw_inject raw_induction thy0 =
berghofe@5177
   661
  let
wenzelm@6385
   662
    fun app_thmss srcs thy = foldl_map (fn (thy, x) => apply_theorems x thy) (thy, srcs);
wenzelm@6385
   663
    fun app_thm src thy = apsnd Library.hd (apply_theorems [src] thy);
wenzelm@6385
   664
wenzelm@6385
   665
    val (((thy1, induction), inject), distinct) = thy0
wenzelm@6385
   666
      |> app_thmss raw_distinct
wenzelm@6385
   667
      |> apfst (app_thmss raw_inject)
wenzelm@6385
   668
      |> apfst (apfst (app_thm raw_induction));
wenzelm@6394
   669
    val sign = Theory.sign_of thy1;
berghofe@5177
   670
berghofe@5177
   671
    val induction' = freezeT induction;
berghofe@5177
   672
berghofe@5177
   673
    fun err t = error ("Ill-formed predicate in induction rule: " ^
berghofe@5177
   674
      Sign.string_of_term sign t);
berghofe@5177
   675
berghofe@5177
   676
    fun get_typ (t as _ $ Var (_, Type (tname, Ts))) =
berghofe@7015
   677
          ((tname, map dest_TFree Ts) handle TERM _ => err t)
berghofe@5177
   678
      | get_typ t = err t;
berghofe@5177
   679
wenzelm@8437
   680
    val dtnames = map get_typ (HOLogic.dest_conj (HOLogic.dest_Trueprop (Thm.concl_of induction')));
berghofe@5177
   681
    val new_type_names = if_none alt_names (map fst dtnames);
berghofe@5177
   682
berghofe@5177
   683
    fun get_constr t = (case Logic.strip_assums_concl t of
berghofe@5177
   684
        _ $ (_ $ t') => (case head_of t' of
berghofe@5177
   685
            Const (cname, cT) => (case strip_type cT of
berghofe@5177
   686
                (Ts, Type (tname, _)) => (tname, (cname, map (dtyp_of_typ dtnames) Ts))
berghofe@5177
   687
              | _ => err t)
berghofe@5177
   688
          | _ => err t)
berghofe@5177
   689
      | _ => err t);
berghofe@5177
   690
berghofe@5177
   691
    fun make_dt_spec [] _ _ = []
berghofe@5177
   692
      | make_dt_spec ((tname, tvs)::dtnames') i constrs =
berghofe@5177
   693
          let val (constrs', constrs'') = take_prefix (equal tname o fst) constrs
berghofe@5177
   694
          in (i, (tname, map DtTFree tvs, map snd constrs'))::
berghofe@5177
   695
            (make_dt_spec dtnames' (i + 1) constrs'')
berghofe@5177
   696
          end;
berghofe@5177
   697
berghofe@5177
   698
    val descr = make_dt_spec dtnames 0 (map get_constr (prems_of induction'));
berghofe@5177
   699
    val sorts = add_term_tfrees (concl_of induction', []);
wenzelm@6385
   700
    val dt_info = get_datatypes thy1;
berghofe@5177
   701
wenzelm@8437
   702
    val case_names_induct = mk_case_names_induct descr;
wenzelm@8437
   703
    val case_names_exhausts = mk_case_names_exhausts descr (map #1 dtnames);
wenzelm@8437
   704
    
wenzelm@8437
   705
wenzelm@6427
   706
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   707
wenzelm@6385
   708
    val (thy2, casedist_thms) = thy1 |>
wenzelm@8437
   709
      DatatypeAbsProofs.prove_casedist_thms new_type_names [descr] sorts induction
wenzelm@8437
   710
        case_names_exhausts;
berghofe@8478
   711
    val (thy3, (reccomb_names, rec_thms)) = DatatypeAbsProofs.prove_primrec_thms
berghofe@7015
   712
      false new_type_names [descr] sorts dt_info inject distinct dist_ss induction thy2;
wenzelm@8437
   713
    val (thy4, (case_thms, case_names)) = DatatypeAbsProofs.prove_case_thms false
berghofe@5177
   714
      new_type_names [descr] sorts reccomb_names rec_thms thy3;
berghofe@5177
   715
    val (thy5, split_thms) = DatatypeAbsProofs.prove_split_thms
berghofe@5177
   716
      new_type_names [descr] sorts inject distinct casedist_thms case_thms thy4;
berghofe@5177
   717
    val (thy6, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   718
      [descr] sorts casedist_thms thy5;
berghofe@5177
   719
    val (thy7, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   720
      [descr] sorts nchotomys case_thms thy6;
nipkow@8601
   721
    val (thy8, weak_case_congs) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   722
      [descr] sorts thy7;
nipkow@8601
   723
    val (thy9, size_thms) =
wenzelm@10930
   724
      if Sign.exists_stamp "NatArith" (Theory.sign_of thy8) then
berghofe@5661
   725
        DatatypeAbsProofs.prove_size_thms false new_type_names
nipkow@8601
   726
          [descr] sorts reccomb_names rec_thms thy8
nipkow@8601
   727
      else (thy8, []);
berghofe@5177
   728
wenzelm@9149
   729
    val (thy10, [induction']) = thy9 |>
wenzelm@9149
   730
      (#1 o store_thmss "inject" new_type_names inject) |>
wenzelm@9149
   731
      (#1 o store_thmss "distinct" new_type_names distinct) |>
wenzelm@9149
   732
      Theory.add_path (space_implode "_" new_type_names) |>
wenzelm@9149
   733
      PureThy.add_thms [(("induct", induction), [case_names_induct])];
wenzelm@9149
   734
wenzelm@9149
   735
    val dt_infos = map (make_dt_info descr induction' reccomb_names rec_thms)
wenzelm@10121
   736
      ((0 upto length descr - 1) ~~ descr ~~ case_names ~~ case_thms ~~ casedist_thms ~~
wenzelm@10121
   737
        map FewConstrs distinct ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   738
berghofe@5177
   739
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   740
wenzelm@9149
   741
    val thy11 = thy10 |>
oheimb@11345
   742
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   743
                weak_case_congs (Simplifier.change_global_ss (op addcongs)) |> 
wenzelm@9149
   744
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@9149
   745
      add_cases_induct dt_infos |>
wenzelm@9386
   746
      Theory.parent_path |>
wenzelm@9386
   747
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   748
  in
wenzelm@9149
   749
    (thy11,
berghofe@5177
   750
     {distinct = distinct,
berghofe@5177
   751
      inject = inject,
berghofe@5177
   752
      exhaustion = casedist_thms,
berghofe@5177
   753
      rec_thms = rec_thms,
berghofe@5177
   754
      case_thms = case_thms,
berghofe@5177
   755
      split_thms = split_thms,
wenzelm@8437
   756
      induction = induction',
berghofe@5177
   757
      size = size_thms,
berghofe@5177
   758
      simps = simps})
berghofe@5177
   759
  end;
berghofe@5177
   760
wenzelm@6385
   761
val rep_datatype = gen_rep_datatype IsarThy.apply_theorems;
wenzelm@6385
   762
val rep_datatype_i = gen_rep_datatype IsarThy.apply_theorems_i;
wenzelm@6385
   763
berghofe@5177
   764
berghofe@5177
   765
(******************************** add datatype ********************************)
berghofe@5177
   766
berghofe@5661
   767
fun gen_add_datatype prep_typ flat_names new_type_names dts thy =
berghofe@5177
   768
  let
berghofe@5177
   769
    val _ = Theory.requires thy "Datatype" "datatype definitions";
berghofe@5177
   770
berghofe@5177
   771
    (* this theory is used just for parsing *)
berghofe@5177
   772
berghofe@5177
   773
    val tmp_thy = thy |>
wenzelm@5892
   774
      Theory.copy |>
berghofe@5177
   775
      Theory.add_types (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   776
        (tname, length tvs, mx)) dts);
berghofe@5177
   777
wenzelm@6394
   778
    val sign = Theory.sign_of tmp_thy;
berghofe@5177
   779
berghofe@5661
   780
    val (tyvars, _, _, _)::_ = dts;
berghofe@5177
   781
    val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   782
      let val full_tname = Sign.full_name sign (Syntax.type_name tname mx)
berghofe@5177
   783
      in (case duplicates tvs of
berghofe@5661
   784
            [] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx))
berghofe@5661
   785
                  else error ("Mutually recursive datatypes must have same type parameters")
berghofe@5177
   786
          | dups => error ("Duplicate parameter(s) for datatype " ^ full_tname ^
berghofe@5177
   787
              " : " ^ commas dups))
berghofe@5177
   788
      end) dts);
berghofe@5177
   789
berghofe@5177
   790
    val _ = (case duplicates (map fst new_dts) @ duplicates new_type_names of
berghofe@5177
   791
      [] => () | dups => error ("Duplicate datatypes: " ^ commas dups));
berghofe@5177
   792
berghofe@5177
   793
    fun prep_dt_spec ((dts', constr_syntax, sorts, i), (tvs, tname, mx, constrs)) =
berghofe@5177
   794
      let
berghofe@5661
   795
        fun prep_constr ((constrs, constr_syntax', sorts'), (cname, cargs, mx')) =
berghofe@5279
   796
          let
berghofe@5279
   797
            val (cargs', sorts'') = foldl (prep_typ sign) (([], sorts'), cargs);
berghofe@5279
   798
            val _ = (case foldr add_typ_tfree_names (cargs', []) \\ tvs of
berghofe@5279
   799
                [] => ()
berghofe@5279
   800
              | vs => error ("Extra type variables on rhs: " ^ commas vs))
berghofe@5661
   801
          in (constrs @ [((if flat_names then Sign.full_name sign else
berghofe@5661
   802
                Sign.full_name_path sign tname) (Syntax.const_name cname mx'),
berghofe@5177
   803
                   map (dtyp_of_typ new_dts) cargs')],
berghofe@5177
   804
              constr_syntax' @ [(cname, mx')], sorts'')
berghofe@5177
   805
          end handle ERROR =>
berghofe@5177
   806
            error ("The error above occured in constructor " ^ cname ^
berghofe@5177
   807
              " of datatype " ^ tname);
berghofe@5177
   808
berghofe@5177
   809
        val (constrs', constr_syntax', sorts') =
berghofe@5177
   810
          foldl prep_constr (([], [], sorts), constrs)
berghofe@5177
   811
wenzelm@8405
   812
      in
berghofe@5177
   813
        case duplicates (map fst constrs') of
berghofe@5177
   814
           [] =>
berghofe@5177
   815
             (dts' @ [(i, (Sign.full_name sign (Syntax.type_name tname mx),
berghofe@5177
   816
                map DtTFree tvs, constrs'))],
berghofe@5177
   817
              constr_syntax @ [constr_syntax'], sorts', i + 1)
berghofe@5177
   818
         | dups => error ("Duplicate constructors " ^ commas dups ^
berghofe@5177
   819
             " in datatype " ^ tname)
berghofe@5177
   820
      end;
berghofe@5177
   821
berghofe@5661
   822
    val (dts', constr_syntax, sorts', i) = foldl prep_dt_spec (([], [], [], 0), dts);
berghofe@7015
   823
    val sorts = sorts' @ (map (rpair (Sign.defaultS sign)) (tyvars \\ map fst sorts'));
berghofe@5177
   824
    val dt_info = get_datatypes thy;
berghofe@7015
   825
    val (descr, _) = unfold_datatypes sign dts' sorts dt_info dts' i;
berghofe@5177
   826
    val _ = check_nonempty descr;
berghofe@5177
   827
wenzelm@8437
   828
    val descr' = flat descr;
wenzelm@8437
   829
    val case_names_induct = mk_case_names_induct descr';
wenzelm@8437
   830
    val case_names_exhausts = mk_case_names_exhausts descr' (map #1 new_dts);
berghofe@5177
   831
  in
berghofe@5177
   832
    (if (!quick_and_dirty) then add_datatype_axm else add_datatype_def)
wenzelm@8437
   833
      flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   834
      case_names_induct case_names_exhausts thy
berghofe@5177
   835
  end;
berghofe@5177
   836
berghofe@5177
   837
val add_datatype_i = gen_add_datatype cert_typ;
berghofe@5177
   838
val add_datatype = gen_add_datatype read_typ;
berghofe@5177
   839
wenzelm@6360
   840
wenzelm@6360
   841
(** package setup **)
wenzelm@6360
   842
wenzelm@6360
   843
(* setup theory *)
wenzelm@6360
   844
wenzelm@8541
   845
val setup = [DatatypesData.init, Method.add_methods tactic_emulations] @ simproc_setup;
wenzelm@6360
   846
wenzelm@6360
   847
wenzelm@6360
   848
(* outer syntax *)
wenzelm@6360
   849
wenzelm@6723
   850
local structure P = OuterParse and K = OuterSyntax.Keyword in
wenzelm@6360
   851
wenzelm@6360
   852
val datatype_decl =
wenzelm@6723
   853
  Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.name -- P.opt_infix --
wenzelm@6729
   854
    (P.$$$ "=" |-- P.enum1 "|" (P.name -- Scan.repeat P.typ -- P.opt_mixfix --| P.marg_comment));
wenzelm@6360
   855
wenzelm@6360
   856
fun mk_datatype args =
wenzelm@6360
   857
  let
wenzelm@6360
   858
    val names = map (fn ((((None, _), t), _), _) => t | ((((Some t, _), _), _), _) => t) args;
wenzelm@6360
   859
    val specs = map (fn ((((_, vs), t), mx), cons) => (vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args;
wenzelm@6360
   860
  in #1 o add_datatype false names specs end;
wenzelm@6360
   861
wenzelm@6360
   862
val datatypeP =
wenzelm@6723
   863
  OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl
wenzelm@6723
   864
    (P.and_list1 datatype_decl >> (Toplevel.theory o mk_datatype));
wenzelm@6360
   865
wenzelm@6385
   866
wenzelm@6385
   867
val rep_datatype_decl =
wenzelm@6723
   868
  Scan.option (Scan.repeat1 P.name) --
wenzelm@6723
   869
    Scan.optional (P.$$$ "distinct" |-- P.!!! (P.and_list1 P.xthms1)) [] --
wenzelm@6723
   870
    Scan.optional (P.$$$ "inject" |-- P.!!! (P.and_list1 P.xthms1)) [] --
wenzelm@6723
   871
    (P.$$$ "induction" |-- P.!!! P.xthm);
wenzelm@6385
   872
wenzelm@6385
   873
fun mk_rep_datatype (((opt_ts, dss), iss), ind) = #1 o rep_datatype opt_ts dss iss ind;
wenzelm@6385
   874
wenzelm@6385
   875
val rep_datatypeP =
wenzelm@6723
   876
  OuterSyntax.command "rep_datatype" "represent existing types inductively" K.thy_decl
wenzelm@6385
   877
    (rep_datatype_decl >> (Toplevel.theory o mk_rep_datatype));
wenzelm@6385
   878
wenzelm@6385
   879
wenzelm@6479
   880
val _ = OuterSyntax.add_keywords ["distinct", "inject", "induction"];
wenzelm@6385
   881
val _ = OuterSyntax.add_parsers [datatypeP, rep_datatypeP];
wenzelm@6385
   882
wenzelm@6385
   883
end;
wenzelm@6385
   884
wenzelm@6360
   885
berghofe@5177
   886
end;
berghofe@5177
   887
wenzelm@6360
   888
structure BasicDatatypePackage: BASIC_DATATYPE_PACKAGE = DatatypePackage;
wenzelm@6360
   889
open BasicDatatypePackage;