src/HOL/Tools/datatype_package.ML
author wenzelm
Fri Jan 11 00:28:24 2002 +0100 (2002-01-11)
changeset 12708 31672377dadc
parent 12448 473cb9f9e237
child 12876 a70df1e5bf10
permissions -rw-r--r--
clarified IsarThy.apply_theorems_i;
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(*  Title:      HOL/Tools/datatype_package.ML
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    ID:         $Id$
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    Author:     Stefan Berghofer, TU Muenchen
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    License:    GPL (GNU GENERAL PUBLIC LICENSE)
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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 list * theory attribute list) list list ->
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    (thm list * theory attribute list) list list -> (thm list * theory attribute list) ->
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    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 = InductAttrib.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 = HOLogic.dest_concls (Thm.concl_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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    (("", size_thms @ rec_thms), [RecfunCodegen.add]),
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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 induction =
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  let
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    val n = length (HOLogic.dest_concls (Thm.concl_of induction));
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    fun proj i thm =
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      if n = 1 then thm
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      else (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.zero_var_indexes
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        |> RuleCases.save thm;
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    fun named_rules (name, {index, exhaustion, ...}: datatype_info) =
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      [(("", proj index induction), [InductAttrib.induct_type_global name]),
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       (("", exhaustion), [InductAttrib.cases_type_global name])];
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    fun unnamed_rule i =
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      (("", proj i induction), [InductAttrib.induct_type_global ""]);
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    val rules = flat (map named_rules infos) @ map unnamed_rule (length infos upto n - 1);
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  in #1 o PureThy.add_thms rules 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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berghofe@7060
   327
fun stripC (i, f $ x) = stripC (i + 1, f)
berghofe@7060
   328
  | stripC p = p;
berghofe@7060
   329
berghofe@7015
   330
val distinctN = "constr_distinct";
berghofe@7015
   331
berghofe@7015
   332
exception ConstrDistinct of term;
berghofe@7015
   333
berghofe@7015
   334
fun distinct_proc sg _ (t as Const ("op =", _) $ t1 $ t2) =
berghofe@7060
   335
  (case (stripC (0, t1), stripC (0, t2)) of
berghofe@7060
   336
     ((i, Const (cname1, T1)), (j, Const (cname2, T2))) =>
berghofe@7060
   337
         (case (stripT (0, T1), stripT (0, T2)) of
berghofe@7060
   338
            ((i', Type (tname1, _)), (j', Type (tname2, _))) =>
berghofe@7060
   339
                if tname1 = tname2 andalso not (cname1 = cname2) andalso i = i' andalso j = j' then
berghofe@7015
   340
                   (case (constrs_of_sg sg tname1) of
berghofe@7015
   341
                      Some constrs => let val cnames = map (fst o dest_Const) constrs
berghofe@7015
   342
                        in if cname1 mem cnames andalso cname2 mem cnames then
berghofe@7015
   343
                             let val eq_t = Logic.mk_equals (t, Const ("False", HOLogic.boolT));
berghofe@7015
   344
                                 val eq_ct = cterm_of sg eq_t;
berghofe@7015
   345
                                 val Datatype_thy = theory "Datatype";
berghofe@7015
   346
                                 val [In0_inject, In1_inject, In0_not_In1, In1_not_In0] =
berghofe@7015
   347
                                   map (get_thm Datatype_thy)
berghofe@7015
   348
                                     ["In0_inject", "In1_inject", "In0_not_In1", "In1_not_In0"]
berghofe@7015
   349
                             in (case (#distinct (datatype_info_sg_err sg tname1)) of
berghofe@7015
   350
                                 QuickAndDirty => Some (Thm.invoke_oracle
berghofe@7015
   351
                                   Datatype_thy distinctN (sg, ConstrDistinct eq_t))
berghofe@7015
   352
                               | FewConstrs thms => Some (prove_goalw_cterm [] eq_ct (K
berghofe@7015
   353
                                   [rtac eq_reflection 1, rtac iffI 1, rtac notE 1,
berghofe@7015
   354
                                    atac 2, resolve_tac thms 1, etac FalseE 1]))
berghofe@7015
   355
                               | ManyConstrs (thm, ss) => Some (prove_goalw_cterm [] eq_ct (K
berghofe@7015
   356
                                   [rtac eq_reflection 1, rtac iffI 1, dtac thm 1,
berghofe@7015
   357
                                    full_simp_tac ss 1,
berghofe@7015
   358
                                    REPEAT (dresolve_tac [In0_inject, In1_inject] 1),
berghofe@7015
   359
                                    eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1,
berghofe@7015
   360
                                    etac FalseE 1])))
berghofe@7015
   361
                             end
berghofe@7015
   362
                           else None
berghofe@7015
   363
                        end
berghofe@7015
   364
                    | None => None)
berghofe@7015
   365
                else None
berghofe@7015
   366
          | _ => None)
berghofe@7015
   367
   | _ => None)
berghofe@7015
   368
  | distinct_proc sg _ _ = None;
berghofe@7015
   369
wenzelm@12338
   370
val distinct_pats = [HOLogic.read_cterm (Theory.sign_of HOL.thy) "s = t"];
berghofe@7049
   371
val distinct_simproc = mk_simproc distinctN distinct_pats distinct_proc;
berghofe@7015
   372
berghofe@7015
   373
val dist_ss = HOL_ss addsimprocs [distinct_simproc];
berghofe@7015
   374
berghofe@7015
   375
val simproc_setup =
berghofe@7015
   376
  [Theory.add_oracle (distinctN, fn (_, ConstrDistinct t) => t),
berghofe@7015
   377
   fn thy => (simpset_ref_of thy := simpset_of thy addsimprocs [distinct_simproc]; thy)];
berghofe@7015
   378
berghofe@7015
   379
berghofe@5177
   380
(* prepare types *)
berghofe@5177
   381
berghofe@5177
   382
fun read_typ sign ((Ts, sorts), str) =
berghofe@5177
   383
  let
berghofe@5177
   384
    val T = Type.no_tvars (Sign.read_typ (sign, (curry assoc)
berghofe@5177
   385
      (map (apfst (rpair ~1)) sorts)) str) handle TYPE (msg, _, _) => error msg
berghofe@5177
   386
  in (Ts @ [T], add_typ_tfrees (T, sorts)) end;
berghofe@5177
   387
berghofe@5177
   388
fun cert_typ sign ((Ts, sorts), raw_T) =
berghofe@5177
   389
  let
berghofe@5177
   390
    val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle
berghofe@5177
   391
      TYPE (msg, _, _) => error msg;
berghofe@5177
   392
    val sorts' = add_typ_tfrees (T, sorts)
berghofe@5177
   393
  in (Ts @ [T],
berghofe@5177
   394
      case duplicates (map fst sorts') of
berghofe@5177
   395
         [] => sorts'
berghofe@5177
   396
       | dups => error ("Inconsistent sort constraints for " ^ commas dups))
berghofe@5177
   397
  end;
berghofe@5177
   398
berghofe@5177
   399
berghofe@5177
   400
(**** make datatype info ****)
berghofe@5177
   401
berghofe@5177
   402
fun make_dt_info descr induct reccomb_names rec_thms
wenzelm@10121
   403
    (((((((((i, (_, (tname, _, _))), case_name), case_thms),
wenzelm@10121
   404
      exhaustion_thm), distinct_thm), inject), nchotomy), case_cong), weak_case_cong) =
wenzelm@10121
   405
  (tname,
wenzelm@10121
   406
   {index = i,
wenzelm@10121
   407
    descr = descr,
wenzelm@10121
   408
    rec_names = reccomb_names,
wenzelm@10121
   409
    rec_rewrites = rec_thms,
wenzelm@10121
   410
    case_name = case_name,
wenzelm@10121
   411
    case_rewrites = case_thms,
wenzelm@10121
   412
    induction = induct,
wenzelm@10121
   413
    exhaustion = exhaustion_thm,
wenzelm@10121
   414
    distinct = distinct_thm,
wenzelm@10121
   415
    inject = inject,
wenzelm@10121
   416
    nchotomy = nchotomy,
wenzelm@10121
   417
    case_cong = case_cong,
wenzelm@10121
   418
    weak_case_cong = weak_case_cong});
berghofe@5177
   419
berghofe@5177
   420
berghofe@5177
   421
(********************* axiomatic introduction of datatypes ********************)
berghofe@5177
   422
wenzelm@8437
   423
fun add_and_get_axioms_atts label tnames attss ts thy =
wenzelm@8437
   424
  foldr (fn (((tname, atts), t), (thy', axs)) =>
berghofe@5177
   425
    let
wenzelm@8437
   426
      val (thy'', [ax]) = thy' |>
berghofe@5661
   427
        Theory.add_path tname |>
wenzelm@8437
   428
        PureThy.add_axioms_i [((label, t), atts)];
berghofe@5661
   429
    in (Theory.parent_path thy'', ax::axs)
wenzelm@8437
   430
    end) (tnames ~~ attss ~~ ts, (thy, []));
wenzelm@8437
   431
wenzelm@8437
   432
fun add_and_get_axioms label tnames =
wenzelm@8437
   433
  add_and_get_axioms_atts label tnames (replicate (length tnames) []);
berghofe@5177
   434
berghofe@5177
   435
fun add_and_get_axiomss label tnames tss thy =
berghofe@5177
   436
  foldr (fn ((tname, ts), (thy', axss)) =>
berghofe@5177
   437
    let
wenzelm@8437
   438
      val (thy'', [axs]) = thy' |>
berghofe@5661
   439
        Theory.add_path tname |>
berghofe@5177
   440
        PureThy.add_axiomss_i [((label, ts), [])];
berghofe@5661
   441
    in (Theory.parent_path thy'', axs::axss)
berghofe@5177
   442
    end) (tnames ~~ tss, (thy, []));
berghofe@5177
   443
wenzelm@8437
   444
fun add_datatype_axm flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   445
    case_names_induct case_names_exhausts thy =
berghofe@5177
   446
  let
berghofe@5177
   447
    val descr' = flat descr;
berghofe@5177
   448
    val recTs = get_rec_types descr' sorts;
berghofe@5578
   449
    val used = foldr add_typ_tfree_names (recTs, []);
berghofe@5177
   450
    val newTs = take (length (hd descr), recTs);
berghofe@5177
   451
berghofe@7015
   452
    val no_size = exists (fn (_, (_, _, constrs)) => exists (fn (_, cargs) => exists
berghofe@7015
   453
      (fn (DtType ("fun", [_, DtRec _])) => true | _ => false) cargs) constrs) descr';
berghofe@7015
   454
berghofe@5177
   455
    (**** declare new types and constants ****)
berghofe@5177
   456
berghofe@5177
   457
    val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr);
berghofe@5177
   458
berghofe@5177
   459
    val constr_decls = map (fn (((_, (_, _, constrs)), T), constr_syntax') =>
berghofe@5177
   460
      map (fn ((_, cargs), (cname, mx)) =>
berghofe@5177
   461
        (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5177
   462
          (constrs ~~ constr_syntax')) ((hd descr) ~~ newTs ~~ constr_syntax);
berghofe@5177
   463
berghofe@5578
   464
    val rec_result_Ts = map TFree (variantlist (replicate (length descr') "'t", used) ~~
wenzelm@12338
   465
      replicate (length descr') HOLogic.typeS);
berghofe@5177
   466
berghofe@5177
   467
    val reccomb_fn_Ts = flat (map (fn (i, (_, _, constrs)) =>
berghofe@5177
   468
      map (fn (_, cargs) =>
berghofe@5177
   469
        let
berghofe@7015
   470
          val Ts = map (typ_of_dtyp descr' sorts) cargs;
berghofe@7015
   471
          val recs = filter (is_rec_type o fst) (cargs ~~ Ts);
berghofe@7015
   472
berghofe@7015
   473
          fun mk_argT (DtRec k, _) = nth_elem (k, rec_result_Ts)
berghofe@7015
   474
            | mk_argT (DtType ("fun", [_, DtRec k]), Type ("fun", [T, _])) =
berghofe@7015
   475
               T --> nth_elem (k, rec_result_Ts);
berghofe@7015
   476
berghofe@7015
   477
          val argTs = Ts @ map mk_argT recs
berghofe@5177
   478
        in argTs ---> nth_elem (i, rec_result_Ts)
berghofe@5177
   479
        end) constrs) descr');
berghofe@5177
   480
berghofe@5177
   481
    val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec";
berghofe@5177
   482
    val reccomb_names = if length descr' = 1 then [big_reccomb_name] else
berghofe@5177
   483
      (map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int)
berghofe@5177
   484
        (1 upto (length descr')));
berghofe@5177
   485
berghofe@9739
   486
    val size_names = DatatypeProp.indexify_names
berghofe@9739
   487
      (map (fn T => name_of_typ T ^ "_size") (drop (length (hd descr), recTs)));
berghofe@5177
   488
wenzelm@12338
   489
    val freeT = TFree (variant used "'t", HOLogic.typeS);
berghofe@5177
   490
    val case_fn_Ts = map (fn (i, (_, _, constrs)) =>
berghofe@5177
   491
      map (fn (_, cargs) =>
berghofe@5177
   492
        let val Ts = map (typ_of_dtyp descr' sorts) cargs
berghofe@5177
   493
        in Ts ---> freeT end) constrs) (hd descr);
berghofe@5177
   494
berghofe@5177
   495
    val case_names = map (fn s => (s ^ "_case")) new_type_names;
berghofe@5177
   496
berghofe@6305
   497
    val thy2' = thy |>
berghofe@5177
   498
berghofe@5177
   499
      (** new types **)
berghofe@5177
   500
berghofe@5177
   501
      curry (foldr (fn (((name, mx), tvs), thy') => thy' |>
wenzelm@6385
   502
          TypedefPackage.add_typedecls [(name, tvs, mx)]))
wenzelm@6385
   503
        (types_syntax ~~ tyvars) |>
berghofe@5661
   504
      add_path flat_names (space_implode "_" new_type_names) |>
berghofe@5177
   505
berghofe@5177
   506
      (** primrec combinators **)
berghofe@5177
   507
berghofe@5177
   508
      Theory.add_consts_i (map (fn ((name, T), T') =>
berghofe@5177
   509
        (name, reccomb_fn_Ts @ [T] ---> T', NoSyn))
berghofe@5177
   510
          (reccomb_names ~~ recTs ~~ rec_result_Ts)) |>
berghofe@5177
   511
berghofe@5177
   512
      (** case combinators **)
berghofe@5177
   513
berghofe@5177
   514
      Theory.add_consts_i (map (fn ((name, T), Ts) =>
berghofe@5177
   515
        (name, Ts @ [T] ---> freeT, NoSyn))
berghofe@5177
   516
          (case_names ~~ newTs ~~ case_fn_Ts)) |>
berghofe@6305
   517
      Theory.add_trrules_i (DatatypeProp.make_case_trrules new_type_names descr);
berghofe@6305
   518
wenzelm@6394
   519
    val reccomb_names' = map (Sign.intern_const (Theory.sign_of thy2')) reccomb_names;
wenzelm@6394
   520
    val case_names' = map (Sign.intern_const (Theory.sign_of thy2')) case_names;
berghofe@6305
   521
berghofe@6305
   522
    val thy2 = thy2' |>
berghofe@5177
   523
berghofe@5177
   524
      (** size functions **)
berghofe@5177
   525
berghofe@7015
   526
      (if no_size then I else Theory.add_consts_i (map (fn (s, T) =>
berghofe@5177
   527
        (Sign.base_name s, T --> HOLogic.natT, NoSyn))
berghofe@7015
   528
          (size_names ~~ drop (length (hd descr), recTs)))) |>
berghofe@5661
   529
berghofe@5661
   530
      (** constructors **)
berghofe@5661
   531
berghofe@5661
   532
      parent_path flat_names |>
berghofe@5661
   533
      curry (foldr (fn (((((_, (_, _, constrs)), T), tname),
berghofe@5661
   534
        constr_syntax'), thy') => thy' |>
berghofe@5661
   535
          add_path flat_names tname |>
berghofe@5661
   536
            Theory.add_consts_i (map (fn ((_, cargs), (cname, mx)) =>
berghofe@5661
   537
              (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5661
   538
                (constrs ~~ constr_syntax')) |>
berghofe@5661
   539
          parent_path flat_names))
berghofe@5661
   540
            (hd descr ~~ newTs ~~ new_type_names ~~ constr_syntax);
berghofe@5177
   541
berghofe@5177
   542
    (**** introduction of axioms ****)
berghofe@5177
   543
berghofe@5661
   544
    val rec_axs = DatatypeProp.make_primrecs new_type_names descr sorts thy2;
berghofe@9739
   545
    val size_axs = if no_size then [] else DatatypeProp.make_size descr sorts thy2;
berghofe@5661
   546
wenzelm@8437
   547
    val (thy3, (([induct], [rec_thms]), inject)) =
wenzelm@8437
   548
      thy2 |>
berghofe@5661
   549
      Theory.add_path (space_implode "_" new_type_names) |>
wenzelm@10911
   550
      PureThy.add_axioms_i [(("induct", DatatypeProp.make_ind descr sorts),
wenzelm@10911
   551
        [Drule.rule_attribute (K InductivePackage.rulify), case_names_induct])] |>>>
wenzelm@8437
   552
      PureThy.add_axiomss_i [(("recs", rec_axs), [])] |>>
wenzelm@8437
   553
      (if no_size then I else #1 o PureThy.add_axiomss_i [(("size", size_axs), [])]) |>>
wenzelm@8437
   554
      Theory.parent_path |>>>
berghofe@5177
   555
      add_and_get_axiomss "inject" new_type_names
berghofe@5177
   556
        (DatatypeProp.make_injs descr sorts);
berghofe@7015
   557
    val size_thms = if no_size then [] else get_thms thy3 "size";
berghofe@5177
   558
    val (thy4, distinct) = add_and_get_axiomss "distinct" new_type_names
berghofe@5177
   559
      (DatatypeProp.make_distincts new_type_names descr sorts thy3) thy3;
wenzelm@8437
   560
wenzelm@8437
   561
    val exhaust_ts = DatatypeProp.make_casedists descr sorts;
wenzelm@8437
   562
    val (thy5, exhaustion) = add_and_get_axioms_atts "exhaust" new_type_names
wenzelm@8437
   563
      (map Library.single case_names_exhausts) exhaust_ts thy4;
berghofe@5177
   564
    val (thy6, case_thms) = add_and_get_axiomss "cases" new_type_names
berghofe@5177
   565
      (DatatypeProp.make_cases new_type_names descr sorts thy5) thy5;
berghofe@5177
   566
    val (split_ts, split_asm_ts) = ListPair.unzip
berghofe@5177
   567
      (DatatypeProp.make_splits new_type_names descr sorts thy6);
berghofe@5177
   568
    val (thy7, split) = add_and_get_axioms "split" new_type_names split_ts thy6;
berghofe@5177
   569
    val (thy8, split_asm) = add_and_get_axioms "split_asm" new_type_names
berghofe@5177
   570
      split_asm_ts thy7;
berghofe@5177
   571
    val (thy9, nchotomys) = add_and_get_axioms "nchotomy" new_type_names
berghofe@5177
   572
      (DatatypeProp.make_nchotomys descr sorts) thy8;
berghofe@5177
   573
    val (thy10, case_congs) = add_and_get_axioms "case_cong" new_type_names
berghofe@5177
   574
      (DatatypeProp.make_case_congs new_type_names descr sorts thy9) thy9;
nipkow@8601
   575
    val (thy11, weak_case_congs) = add_and_get_axioms "weak_case_cong" new_type_names
nipkow@8601
   576
      (DatatypeProp.make_weak_case_congs new_type_names descr sorts thy10) thy10;
wenzelm@8405
   577
berghofe@6305
   578
    val dt_infos = map (make_dt_info descr' induct reccomb_names' rec_thms)
berghofe@6305
   579
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names' ~~ case_thms ~~
berghofe@7015
   580
        exhaustion ~~ replicate (length (hd descr)) QuickAndDirty ~~ inject ~~
wenzelm@10121
   581
          nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   582
berghofe@5177
   583
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
wenzelm@9386
   584
    val split_thms = split ~~ split_asm;
berghofe@5177
   585
nipkow@8601
   586
    val thy12 = thy11 |>
berghofe@5661
   587
      Theory.add_path (space_implode "_" new_type_names) |>
oheimb@11345
   588
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   589
                weak_case_congs Simplifier.cong_add_global |> 
berghofe@5177
   590
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@11805
   591
      add_cases_induct dt_infos induct |>
wenzelm@9386
   592
      Theory.parent_path |>
wenzelm@9386
   593
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   594
  in
nipkow@8601
   595
    (thy12,
berghofe@5177
   596
     {distinct = distinct,
berghofe@5177
   597
      inject = inject,
berghofe@5177
   598
      exhaustion = exhaustion,
berghofe@5177
   599
      rec_thms = rec_thms,
berghofe@5177
   600
      case_thms = case_thms,
wenzelm@9386
   601
      split_thms = split_thms,
berghofe@5177
   602
      induction = induct,
berghofe@5177
   603
      size = size_thms,
berghofe@5177
   604
      simps = simps})
berghofe@5177
   605
  end;
berghofe@5177
   606
berghofe@5177
   607
berghofe@5177
   608
(******************* definitional introduction of datatypes *******************)
berghofe@5177
   609
wenzelm@8437
   610
fun add_datatype_def flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   611
    case_names_induct case_names_exhausts thy =
berghofe@5177
   612
  let
wenzelm@6360
   613
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   614
berghofe@7015
   615
    val (thy2, inject, distinct, dist_rewrites, simproc_dists, induct) = thy |>
berghofe@5661
   616
      DatatypeRepProofs.representation_proofs flat_names dt_info new_type_names descr sorts
wenzelm@8437
   617
        types_syntax constr_syntax case_names_induct;
berghofe@5177
   618
wenzelm@8437
   619
    val (thy3, casedist_thms) = DatatypeAbsProofs.prove_casedist_thms new_type_names descr
wenzelm@8437
   620
      sorts induct case_names_exhausts thy2;
berghofe@8478
   621
    val (thy4, (reccomb_names, rec_thms)) = DatatypeAbsProofs.prove_primrec_thms
berghofe@7015
   622
      flat_names new_type_names descr sorts dt_info inject dist_rewrites dist_ss induct thy3;
wenzelm@8437
   623
    val (thy6, (case_thms, case_names)) = DatatypeAbsProofs.prove_case_thms
berghofe@5661
   624
      flat_names new_type_names descr sorts reccomb_names rec_thms thy4;
berghofe@5177
   625
    val (thy7, split_thms) = DatatypeAbsProofs.prove_split_thms new_type_names
berghofe@5177
   626
      descr sorts inject dist_rewrites casedist_thms case_thms thy6;
berghofe@5177
   627
    val (thy8, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   628
      descr sorts casedist_thms thy7;
berghofe@5177
   629
    val (thy9, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   630
      descr sorts nchotomys case_thms thy8;
nipkow@8601
   631
    val (thy10, weak_case_congs) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   632
      descr sorts thy9;
nipkow@8601
   633
    val (thy11, size_thms) = DatatypeAbsProofs.prove_size_thms flat_names new_type_names
nipkow@8601
   634
      descr sorts reccomb_names rec_thms thy10;
berghofe@5177
   635
berghofe@5177
   636
    val dt_infos = map (make_dt_info (flat descr) induct reccomb_names rec_thms)
berghofe@5177
   637
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names ~~ case_thms ~~
wenzelm@10121
   638
        casedist_thms ~~ simproc_dists ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   639
berghofe@5177
   640
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   641
nipkow@8601
   642
    val thy12 = thy11 |>
berghofe@5661
   643
      Theory.add_path (space_implode "_" new_type_names) |>
oheimb@11345
   644
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   645
                weak_case_congs (Simplifier.change_global_ss (op addcongs)) |> 
berghofe@5177
   646
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@11805
   647
      add_cases_induct dt_infos induct |>
wenzelm@9386
   648
      Theory.parent_path |>
wenzelm@9386
   649
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   650
  in
nipkow@8601
   651
    (thy12,
berghofe@5177
   652
     {distinct = distinct,
berghofe@5177
   653
      inject = inject,
berghofe@5177
   654
      exhaustion = casedist_thms,
berghofe@5177
   655
      rec_thms = rec_thms,
berghofe@5177
   656
      case_thms = case_thms,
berghofe@5177
   657
      split_thms = split_thms,
berghofe@5177
   658
      induction = induct,
berghofe@5177
   659
      size = size_thms,
berghofe@5177
   660
      simps = simps})
berghofe@5177
   661
  end;
berghofe@5177
   662
berghofe@5177
   663
wenzelm@6385
   664
(*********************** declare existing type as datatype *********************)
berghofe@5177
   665
wenzelm@6385
   666
fun gen_rep_datatype apply_theorems alt_names raw_distinct raw_inject raw_induction thy0 =
berghofe@5177
   667
  let
wenzelm@6385
   668
    fun app_thmss srcs thy = foldl_map (fn (thy, x) => apply_theorems x thy) (thy, srcs);
wenzelm@6385
   669
    fun app_thm src thy = apsnd Library.hd (apply_theorems [src] thy);
wenzelm@6385
   670
wenzelm@6385
   671
    val (((thy1, induction), inject), distinct) = thy0
wenzelm@6385
   672
      |> app_thmss raw_distinct
wenzelm@6385
   673
      |> apfst (app_thmss raw_inject)
wenzelm@6385
   674
      |> apfst (apfst (app_thm raw_induction));
wenzelm@6394
   675
    val sign = Theory.sign_of thy1;
berghofe@5177
   676
berghofe@5177
   677
    val induction' = freezeT induction;
berghofe@5177
   678
berghofe@5177
   679
    fun err t = error ("Ill-formed predicate in induction rule: " ^
berghofe@5177
   680
      Sign.string_of_term sign t);
berghofe@5177
   681
berghofe@5177
   682
    fun get_typ (t as _ $ Var (_, Type (tname, Ts))) =
berghofe@7015
   683
          ((tname, map dest_TFree Ts) handle TERM _ => err t)
berghofe@5177
   684
      | get_typ t = err t;
berghofe@5177
   685
wenzelm@8437
   686
    val dtnames = map get_typ (HOLogic.dest_conj (HOLogic.dest_Trueprop (Thm.concl_of induction')));
berghofe@5177
   687
    val new_type_names = if_none alt_names (map fst dtnames);
berghofe@5177
   688
berghofe@5177
   689
    fun get_constr t = (case Logic.strip_assums_concl t of
berghofe@5177
   690
        _ $ (_ $ t') => (case head_of t' of
berghofe@5177
   691
            Const (cname, cT) => (case strip_type cT of
berghofe@5177
   692
                (Ts, Type (tname, _)) => (tname, (cname, map (dtyp_of_typ dtnames) Ts))
berghofe@5177
   693
              | _ => err t)
berghofe@5177
   694
          | _ => err t)
berghofe@5177
   695
      | _ => err t);
berghofe@5177
   696
berghofe@5177
   697
    fun make_dt_spec [] _ _ = []
berghofe@5177
   698
      | make_dt_spec ((tname, tvs)::dtnames') i constrs =
berghofe@5177
   699
          let val (constrs', constrs'') = take_prefix (equal tname o fst) constrs
berghofe@5177
   700
          in (i, (tname, map DtTFree tvs, map snd constrs'))::
berghofe@5177
   701
            (make_dt_spec dtnames' (i + 1) constrs'')
berghofe@5177
   702
          end;
berghofe@5177
   703
berghofe@5177
   704
    val descr = make_dt_spec dtnames 0 (map get_constr (prems_of induction'));
berghofe@5177
   705
    val sorts = add_term_tfrees (concl_of induction', []);
wenzelm@6385
   706
    val dt_info = get_datatypes thy1;
berghofe@5177
   707
wenzelm@8437
   708
    val case_names_induct = mk_case_names_induct descr;
wenzelm@8437
   709
    val case_names_exhausts = mk_case_names_exhausts descr (map #1 dtnames);
wenzelm@8437
   710
    
wenzelm@8437
   711
wenzelm@6427
   712
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   713
wenzelm@6385
   714
    val (thy2, casedist_thms) = thy1 |>
wenzelm@8437
   715
      DatatypeAbsProofs.prove_casedist_thms new_type_names [descr] sorts induction
wenzelm@8437
   716
        case_names_exhausts;
berghofe@8478
   717
    val (thy3, (reccomb_names, rec_thms)) = DatatypeAbsProofs.prove_primrec_thms
berghofe@7015
   718
      false new_type_names [descr] sorts dt_info inject distinct dist_ss induction thy2;
wenzelm@8437
   719
    val (thy4, (case_thms, case_names)) = DatatypeAbsProofs.prove_case_thms false
berghofe@5177
   720
      new_type_names [descr] sorts reccomb_names rec_thms thy3;
berghofe@5177
   721
    val (thy5, split_thms) = DatatypeAbsProofs.prove_split_thms
berghofe@5177
   722
      new_type_names [descr] sorts inject distinct casedist_thms case_thms thy4;
berghofe@5177
   723
    val (thy6, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   724
      [descr] sorts casedist_thms thy5;
berghofe@5177
   725
    val (thy7, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   726
      [descr] sorts nchotomys case_thms thy6;
nipkow@8601
   727
    val (thy8, weak_case_congs) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   728
      [descr] sorts thy7;
nipkow@8601
   729
    val (thy9, size_thms) =
wenzelm@10930
   730
      if Sign.exists_stamp "NatArith" (Theory.sign_of thy8) then
berghofe@5661
   731
        DatatypeAbsProofs.prove_size_thms false new_type_names
nipkow@8601
   732
          [descr] sorts reccomb_names rec_thms thy8
nipkow@8601
   733
      else (thy8, []);
berghofe@5177
   734
wenzelm@9149
   735
    val (thy10, [induction']) = thy9 |>
wenzelm@9149
   736
      (#1 o store_thmss "inject" new_type_names inject) |>
wenzelm@9149
   737
      (#1 o store_thmss "distinct" new_type_names distinct) |>
wenzelm@9149
   738
      Theory.add_path (space_implode "_" new_type_names) |>
wenzelm@9149
   739
      PureThy.add_thms [(("induct", induction), [case_names_induct])];
wenzelm@9149
   740
wenzelm@9149
   741
    val dt_infos = map (make_dt_info descr induction' reccomb_names rec_thms)
wenzelm@10121
   742
      ((0 upto length descr - 1) ~~ descr ~~ case_names ~~ case_thms ~~ casedist_thms ~~
wenzelm@10121
   743
        map FewConstrs distinct ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   744
berghofe@5177
   745
    val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   746
wenzelm@9149
   747
    val thy11 = thy10 |>
oheimb@11345
   748
      add_rules simps case_thms size_thms rec_thms inject distinct
oheimb@11345
   749
                weak_case_congs (Simplifier.change_global_ss (op addcongs)) |> 
wenzelm@9149
   750
      put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |>
wenzelm@11805
   751
      add_cases_induct dt_infos induction' |>
wenzelm@9386
   752
      Theory.parent_path |>
wenzelm@9386
   753
      (#1 o store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms));
berghofe@5177
   754
  in
wenzelm@9149
   755
    (thy11,
berghofe@5177
   756
     {distinct = distinct,
berghofe@5177
   757
      inject = inject,
berghofe@5177
   758
      exhaustion = casedist_thms,
berghofe@5177
   759
      rec_thms = rec_thms,
berghofe@5177
   760
      case_thms = case_thms,
berghofe@5177
   761
      split_thms = split_thms,
wenzelm@8437
   762
      induction = induction',
berghofe@5177
   763
      size = size_thms,
berghofe@5177
   764
      simps = simps})
berghofe@5177
   765
  end;
berghofe@5177
   766
wenzelm@6385
   767
val rep_datatype = gen_rep_datatype IsarThy.apply_theorems;
wenzelm@6385
   768
val rep_datatype_i = gen_rep_datatype IsarThy.apply_theorems_i;
wenzelm@6385
   769
berghofe@5177
   770
wenzelm@11958
   771
berghofe@5177
   772
(******************************** add datatype ********************************)
berghofe@5177
   773
berghofe@5661
   774
fun gen_add_datatype prep_typ flat_names new_type_names dts thy =
berghofe@5177
   775
  let
berghofe@5177
   776
    val _ = Theory.requires thy "Datatype" "datatype definitions";
berghofe@5177
   777
berghofe@5177
   778
    (* this theory is used just for parsing *)
berghofe@5177
   779
berghofe@5177
   780
    val tmp_thy = thy |>
wenzelm@5892
   781
      Theory.copy |>
berghofe@5177
   782
      Theory.add_types (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   783
        (tname, length tvs, mx)) dts);
berghofe@5177
   784
wenzelm@6394
   785
    val sign = Theory.sign_of tmp_thy;
berghofe@5177
   786
berghofe@5661
   787
    val (tyvars, _, _, _)::_ = dts;
berghofe@5177
   788
    val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   789
      let val full_tname = Sign.full_name sign (Syntax.type_name tname mx)
berghofe@5177
   790
      in (case duplicates tvs of
berghofe@5661
   791
            [] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx))
berghofe@5661
   792
                  else error ("Mutually recursive datatypes must have same type parameters")
berghofe@5177
   793
          | dups => error ("Duplicate parameter(s) for datatype " ^ full_tname ^
berghofe@5177
   794
              " : " ^ commas dups))
berghofe@5177
   795
      end) dts);
berghofe@5177
   796
berghofe@5177
   797
    val _ = (case duplicates (map fst new_dts) @ duplicates new_type_names of
berghofe@5177
   798
      [] => () | dups => error ("Duplicate datatypes: " ^ commas dups));
berghofe@5177
   799
berghofe@5177
   800
    fun prep_dt_spec ((dts', constr_syntax, sorts, i), (tvs, tname, mx, constrs)) =
berghofe@5177
   801
      let
berghofe@5661
   802
        fun prep_constr ((constrs, constr_syntax', sorts'), (cname, cargs, mx')) =
berghofe@5279
   803
          let
berghofe@5279
   804
            val (cargs', sorts'') = foldl (prep_typ sign) (([], sorts'), cargs);
berghofe@5279
   805
            val _ = (case foldr add_typ_tfree_names (cargs', []) \\ tvs of
berghofe@5279
   806
                [] => ()
berghofe@5279
   807
              | vs => error ("Extra type variables on rhs: " ^ commas vs))
berghofe@5661
   808
          in (constrs @ [((if flat_names then Sign.full_name sign else
berghofe@5661
   809
                Sign.full_name_path sign tname) (Syntax.const_name cname mx'),
berghofe@5177
   810
                   map (dtyp_of_typ new_dts) cargs')],
berghofe@5177
   811
              constr_syntax' @ [(cname, mx')], sorts'')
berghofe@5177
   812
          end handle ERROR =>
berghofe@5177
   813
            error ("The error above occured in constructor " ^ cname ^
berghofe@5177
   814
              " of datatype " ^ tname);
berghofe@5177
   815
berghofe@5177
   816
        val (constrs', constr_syntax', sorts') =
berghofe@5177
   817
          foldl prep_constr (([], [], sorts), constrs)
berghofe@5177
   818
wenzelm@8405
   819
      in
berghofe@5177
   820
        case duplicates (map fst constrs') of
berghofe@5177
   821
           [] =>
berghofe@5177
   822
             (dts' @ [(i, (Sign.full_name sign (Syntax.type_name tname mx),
berghofe@5177
   823
                map DtTFree tvs, constrs'))],
berghofe@5177
   824
              constr_syntax @ [constr_syntax'], sorts', i + 1)
berghofe@5177
   825
         | dups => error ("Duplicate constructors " ^ commas dups ^
berghofe@5177
   826
             " in datatype " ^ tname)
berghofe@5177
   827
      end;
berghofe@5177
   828
berghofe@5661
   829
    val (dts', constr_syntax, sorts', i) = foldl prep_dt_spec (([], [], [], 0), dts);
berghofe@7015
   830
    val sorts = sorts' @ (map (rpair (Sign.defaultS sign)) (tyvars \\ map fst sorts'));
berghofe@5177
   831
    val dt_info = get_datatypes thy;
berghofe@7015
   832
    val (descr, _) = unfold_datatypes sign dts' sorts dt_info dts' i;
berghofe@5177
   833
    val _ = check_nonempty descr;
berghofe@5177
   834
wenzelm@8437
   835
    val descr' = flat descr;
wenzelm@8437
   836
    val case_names_induct = mk_case_names_induct descr';
wenzelm@8437
   837
    val case_names_exhausts = mk_case_names_exhausts descr' (map #1 new_dts);
berghofe@5177
   838
  in
berghofe@5177
   839
    (if (!quick_and_dirty) then add_datatype_axm else add_datatype_def)
wenzelm@8437
   840
      flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   841
      case_names_induct case_names_exhausts thy
berghofe@5177
   842
  end;
berghofe@5177
   843
berghofe@5177
   844
val add_datatype_i = gen_add_datatype cert_typ;
berghofe@5177
   845
val add_datatype = gen_add_datatype read_typ;
berghofe@5177
   846
wenzelm@6360
   847
wenzelm@6360
   848
(** package setup **)
wenzelm@6360
   849
wenzelm@6360
   850
(* setup theory *)
wenzelm@6360
   851
wenzelm@8541
   852
val setup = [DatatypesData.init, Method.add_methods tactic_emulations] @ simproc_setup;
wenzelm@6360
   853
wenzelm@6360
   854
wenzelm@6360
   855
(* outer syntax *)
wenzelm@6360
   856
wenzelm@6723
   857
local structure P = OuterParse and K = OuterSyntax.Keyword in
wenzelm@6360
   858
wenzelm@6360
   859
val datatype_decl =
wenzelm@6723
   860
  Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.name -- P.opt_infix --
wenzelm@6729
   861
    (P.$$$ "=" |-- P.enum1 "|" (P.name -- Scan.repeat P.typ -- P.opt_mixfix --| P.marg_comment));
wenzelm@6360
   862
wenzelm@6360
   863
fun mk_datatype args =
wenzelm@6360
   864
  let
wenzelm@6360
   865
    val names = map (fn ((((None, _), t), _), _) => t | ((((Some t, _), _), _), _) => t) args;
wenzelm@6360
   866
    val specs = map (fn ((((_, vs), t), mx), cons) => (vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args;
wenzelm@6360
   867
  in #1 o add_datatype false names specs end;
wenzelm@6360
   868
wenzelm@6360
   869
val datatypeP =
wenzelm@6723
   870
  OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl
wenzelm@6723
   871
    (P.and_list1 datatype_decl >> (Toplevel.theory o mk_datatype));
wenzelm@6360
   872
wenzelm@6385
   873
wenzelm@6385
   874
val rep_datatype_decl =
wenzelm@6723
   875
  Scan.option (Scan.repeat1 P.name) --
wenzelm@11958
   876
    Scan.optional (P.$$$ "distinct" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
wenzelm@11958
   877
    Scan.optional (P.$$$ "inject" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
wenzelm@6723
   878
    (P.$$$ "induction" |-- P.!!! P.xthm);
wenzelm@6385
   879
wenzelm@6385
   880
fun mk_rep_datatype (((opt_ts, dss), iss), ind) = #1 o rep_datatype opt_ts dss iss ind;
wenzelm@6385
   881
wenzelm@6385
   882
val rep_datatypeP =
wenzelm@6723
   883
  OuterSyntax.command "rep_datatype" "represent existing types inductively" K.thy_decl
wenzelm@6385
   884
    (rep_datatype_decl >> (Toplevel.theory o mk_rep_datatype));
wenzelm@6385
   885
wenzelm@6385
   886
wenzelm@6479
   887
val _ = OuterSyntax.add_keywords ["distinct", "inject", "induction"];
wenzelm@6385
   888
val _ = OuterSyntax.add_parsers [datatypeP, rep_datatypeP];
wenzelm@6385
   889
wenzelm@6385
   890
end;
wenzelm@6385
   891
wenzelm@6360
   892
berghofe@5177
   893
end;
berghofe@5177
   894
wenzelm@6360
   895
structure BasicDatatypePackage: BASIC_DATATYPE_PACKAGE = DatatypePackage;
wenzelm@6360
   896
open BasicDatatypePackage;