src/HOL/Tools/datatype_package.ML
author wenzelm
Sat Jul 08 12:54:42 2006 +0200 (2006-07-08)
changeset 20054 24d176b8f240
parent 19925 3f9341831812
child 20071 8f3e1ddb50e6
permissions -rw-r--r--
distinct simproc/simpset: proper context;
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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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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 ->
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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} * theory
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  val add_datatype_i : bool -> bool -> string list -> (string list * bstring * mixfix *
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    (bstring * typ list * mixfix) list) list -> 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} * theory
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  val rep_datatype_i : string list option -> (thm list * attribute list) list list ->
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    (thm list * attribute list) list list -> (thm list * attribute list) ->
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    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} * theory
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  val rep_datatype : string list option -> (thmref * Attrib.src list) list list ->
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    (thmref * Attrib.src list) list list -> thmref * Attrib.src list -> 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} * theory
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  val get_datatypes : theory -> DatatypeAux.datatype_info Symtab.table
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  val get_datatype : theory -> string -> DatatypeAux.datatype_info option
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  val the_datatype : theory -> string -> DatatypeAux.datatype_info
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  val get_datatype_spec : theory -> string -> ((string * sort) list * (string * typ list) list) option
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  val get_datatype_constrs : theory -> string -> (string * typ) list option
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  val print_datatypes : theory -> unit
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  val setup: theory -> theory
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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 DatatypesData = TheoryDataFun
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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 extend = I;
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  fun merge _ tabs : T = Symtab.merge (K true) tabs;
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  fun print sg tab =
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    Pretty.writeln (Pretty.strs ("datatypes:" ::
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      map #1 (NameSpace.extern_table (Sign.type_space sg, tab))));
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end);
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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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val get_datatype = Symtab.lookup o get_datatypes;
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fun the_datatype thy name = (case get_datatype 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 get_datatype_descr thy dtco =
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  get_datatype thy dtco
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  |> Option.map (fn info as { descr, index, ... } => 
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       (info, (((fn SOME (_, dtys, cos) => (dtys, cos)) o AList.lookup (op =) descr) index)));
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fun get_datatype_spec thy dtco =
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  let
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    fun mk_cons typ_of_dtyp (co, tys) =
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      (co, map typ_of_dtyp tys);
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    fun mk_dtyp ({ sorts = raw_sorts, descr, ... } : DatatypeAux.datatype_info, (dtys, cos)) =
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      let
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        val sorts = map ((fn v => (v, (the o AList.lookup (op =) raw_sorts) v))
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          o DatatypeAux.dest_DtTFree) dtys;
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        val typ_of_dtyp = DatatypeAux.typ_of_dtyp descr sorts;
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        val tys = map typ_of_dtyp dtys;
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      in (sorts, map (mk_cons typ_of_dtyp) cos) end;
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  in Option.map mk_dtyp (get_datatype_descr thy dtco) end;
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fun get_datatype_constrs thy dtco =
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  case get_datatype_spec thy dtco
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   of SOME (sorts, cos) =>
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        let
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          fun subst (v, sort) = TVar ((v, 0), sort);
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          fun subst_ty (TFree v) = subst v
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            | subst_ty ty = ty;
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          val dty = Type (dtco, map subst sorts);
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          fun mk_co (co, tys) = (co, map (Term.map_atyps subst_ty) tys ---> dty);
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        in SOME (map mk_co cos) end
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    | NONE => NONE;
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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 = rename_wrt_term Bi (Logic.strip_params Bi);
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  in case AList.lookup (op =) (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 AList.lookup (op =) 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 (ixn, x)
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  | prep_var _ = NONE;
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fun prep_inst (concl, xs) =	(*exception Library.UnequalLengths *)
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  let val vs = InductAttrib.vars_of concl
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  in List.mapPartial prep_var (Library.drop (length vs - length xs, vs) ~~ xs) end;
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in
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fun gen_induct_tac inst_tac (varss, opt_rule) i state = 
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  SUBGOAL (fn (Bi,_) =>
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  let
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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 (List.mapPartial I (List.concat varss))) Bi
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                val {sign, ...} = Thm.rep_thm state
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	    in (#induction (the_datatype sign tn), "Induction rule for type " ^ tn) 
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	    end
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    val concls = HOLogic.dest_concls (Thm.concl_of rule);
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    val insts = List.concat (map prep_inst (concls ~~ varss)) handle Library.UnequalLengths =>
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      error (rule_name ^ " has different numbers of variables");
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  in occs_in_prems (inst_tac insts rule) (map #2 insts) i end)
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  i state;
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fun induct_tac s =
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  gen_induct_tac Tactic.res_inst_tac'
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    (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 Tactic.res_inst_tac'
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    ([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 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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  in inst_tac [(ixn, t)] rule i state end;
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fun gen_case_tac inst_tac (t, SOME rule) i state =
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      case_inst_tac inst_tac t rule i state
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  | gen_case_tac inst_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 inst_tac [(("P", 0), t)] case_split_thm i state
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        else case_inst_tac inst_tac t
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               (#exhaustion (the_datatype (Thm.sign_of_thm state) tn))
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               i state
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      end handle THM _ => Seq.empty;
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fun case_tac t = gen_case_tac Tactic.res_inst_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.thm);
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val varss =
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  Args.and_list (Scan.repeat (Scan.unless rule_spec (Scan.lift (Args.maybe Args.name))));
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val inst_tac = Method.bires_inst_tac false;
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fun induct_meth ctxt (varss, opt_rule) =
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  gen_induct_tac (inst_tac ctxt) (varss, opt_rule);
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fun case_meth ctxt (varss, opt_rule) =
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  gen_case_tac (inst_tac ctxt) (varss, opt_rule);
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in
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val tactic_emulations =
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 [("induct_tac", Method.goal_args_ctxt' (varss -- opt_rule) induct_meth,
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    "induct_tac emulation (dynamic instantiation)"),
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  ("case_tac", Method.goal_args_ctxt' (Scan.lift Args.name -- opt_rule) case_meth,
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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)) = List.concat (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 (valOf (AList.lookup (op =) descr i)));
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    val bnames = map the_bname (distinct (op =) (List.concat (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 (List.concat (map (dt_cases descr) (map #2 descr)));
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fun exhaust_cases descr i = dt_cases descr (valOf (AList.lookup (op =) 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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    (List.filter (fn ((_, (name, _, _))) => name mem_string new) descr);
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end;
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(*Name management for ATP linkup. The suffix here must agree with the one given
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  for notE in Clasimp.addIff*)
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fun name_notE th =
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    Thm.name_thm (Thm.name_of_thm th ^ "_iff1", th RS notE);
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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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  (snd o PureThy.add_thmss [(("simps", simps), []),
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    (("", List.concat case_thms @ size_thms @ 
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          List.concat distinct  @ rec_thms), [Simplifier.simp_add]),
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    (("", size_thms @ rec_thms),             [RecfunCodegen.add NONE]),
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    (("", List.concat inject),               [iff_add]),
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    (("", map name_notE (List.concat distinct)),  [Classical.safe_elim NONE]),
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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 thy =
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  let
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    val inducts = ProjectRule.projections (ProofContext.init thy) induction;
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    fun named_rules (name, {index, exhaustion, ...}: datatype_info) =
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      [(("", nth inducts index), [InductAttrib.induct_type name]),
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       (("", exhaustion), [InductAttrib.cases_type name])];
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    fun unnamed_rule i =
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   327
      (("", nth inducts i), [PureThy.kind_internal, InductAttrib.induct_type ""]);
wenzelm@18462
   328
  in
wenzelm@19874
   329
    thy |> PureThy.add_thms
wenzelm@18462
   330
      (List.concat (map named_rules infos) @
wenzelm@19874
   331
        map unnamed_rule (length infos upto length inducts - 1)) |> snd
wenzelm@19874
   332
    |> PureThy.add_thmss [(("inducts", inducts), [])] |> snd
wenzelm@18462
   333
  end;
wenzelm@8306
   334
berghofe@5177
   335
wenzelm@8405
   336
berghofe@7015
   337
(**** simplification procedure for showing distinctness of constructors ****)
berghofe@7015
   338
berghofe@7060
   339
fun stripT (i, Type ("fun", [_, T])) = stripT (i + 1, T)
berghofe@7060
   340
  | stripT p = p;
berghofe@7060
   341
berghofe@7060
   342
fun stripC (i, f $ x) = stripC (i + 1, f)
berghofe@7060
   343
  | stripC p = p;
berghofe@7060
   344
berghofe@7015
   345
val distinctN = "constr_distinct";
berghofe@7015
   346
berghofe@7015
   347
exception ConstrDistinct of term;
berghofe@7015
   348
wenzelm@19539
   349
fun distinct_proc thy ss (t as Const ("op =", _) $ t1 $ t2) =
berghofe@7060
   350
  (case (stripC (0, t1), stripC (0, t2)) of
berghofe@7060
   351
     ((i, Const (cname1, T1)), (j, Const (cname2, T2))) =>
berghofe@7060
   352
         (case (stripT (0, T1), stripT (0, T2)) of
berghofe@7060
   353
            ((i', Type (tname1, _)), (j', Type (tname2, _))) =>
berghofe@7060
   354
                if tname1 = tname2 andalso not (cname1 = cname2) andalso i = i' andalso j = j' then
wenzelm@19539
   355
                   (case (get_datatype_descr thy) tname1 of
haftmann@19346
   356
                      SOME (_, (_, constrs)) => let val cnames = map fst constrs
berghofe@7015
   357
                        in if cname1 mem cnames andalso cname2 mem cnames then
berghofe@7015
   358
                             let val eq_t = Logic.mk_equals (t, Const ("False", HOLogic.boolT));
wenzelm@19539
   359
                                 val eq_ct = cterm_of thy eq_t;
wenzelm@19539
   360
                                 val Datatype_thy = ThyInfo.the_theory "Datatype" thy;
berghofe@7015
   361
                                 val [In0_inject, In1_inject, In0_not_In1, In1_not_In0] =
wenzelm@16486
   362
                                   map (get_thm Datatype_thy o Name)
berghofe@7015
   363
                                     ["In0_inject", "In1_inject", "In0_not_In1", "In1_not_In0"]
wenzelm@19539
   364
                             in (case (#distinct (the_datatype thy tname1)) of
skalberg@15531
   365
                                 QuickAndDirty => SOME (Thm.invoke_oracle
wenzelm@19539
   366
                                   Datatype_thy distinctN (thy, ConstrDistinct eq_t))
wenzelm@20054
   367
                               | FewConstrs thms =>
wenzelm@20054
   368
                                   SOME (Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
wenzelm@20054
   369
                                     (EVERY [rtac eq_reflection 1, rtac iffI 1, rtac notE 1,
wenzelm@20054
   370
                                       atac 2, resolve_tac thms 1, etac FalseE 1])))
wenzelm@20054
   371
                               | ManyConstrs (thm, simpset) =>
wenzelm@20054
   372
                                   SOME (Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
wenzelm@20054
   373
                                     (EVERY [rtac eq_reflection 1, rtac iffI 1, dtac thm 1,
wenzelm@20054
   374
                                      full_simp_tac (Simplifier.inherit_context ss simpset) 1,
wenzelm@20054
   375
                                      REPEAT (dresolve_tac [In0_inject, In1_inject] 1),
wenzelm@20054
   376
                                      eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1,
wenzelm@20054
   377
                                      etac FalseE 1]))))
berghofe@7015
   378
                             end
skalberg@15531
   379
                           else NONE
berghofe@7015
   380
                        end
skalberg@15531
   381
                    | NONE => NONE)
skalberg@15531
   382
                else NONE
skalberg@15531
   383
          | _ => NONE)
skalberg@15531
   384
   | _ => NONE)
wenzelm@20054
   385
  | distinct_proc _ _ _ = NONE;
berghofe@7015
   386
wenzelm@13462
   387
val distinct_simproc =
wenzelm@16430
   388
  Simplifier.simproc HOL.thy distinctN ["s = t"] distinct_proc;
berghofe@7015
   389
berghofe@7015
   390
val dist_ss = HOL_ss addsimprocs [distinct_simproc];
berghofe@7015
   391
berghofe@7015
   392
val simproc_setup =
wenzelm@18708
   393
  Theory.add_oracle (distinctN, fn (_, ConstrDistinct t) => t) #>
wenzelm@18708
   394
  (fn thy => ((change_simpset_of thy) (fn ss => ss addsimprocs [distinct_simproc]); thy));
berghofe@7015
   395
berghofe@7015
   396
berghofe@14799
   397
(**** translation rules for case ****)
berghofe@14799
   398
haftmann@18008
   399
fun find_first f = Library.find_first f;
haftmann@18008
   400
wenzelm@18857
   401
fun case_tr context [t, u] =
berghofe@14799
   402
    let
wenzelm@18857
   403
      val thy = Context.theory_of context;
berghofe@14799
   404
      fun case_error s name ts = raise TERM ("Error in case expression" ^
skalberg@15570
   405
        getOpt (Option.map (curry op ^ " for datatype ") name, "") ^ ":\n" ^ s, ts);
berghofe@14799
   406
      fun dest_case1 (Const ("_case1", _) $ t $ u) = (case strip_comb t of
wenzelm@18857
   407
            (Const (s, _), ts) => (Sign.intern_const thy s, ts)
wenzelm@18857
   408
          | (Free (s, _), ts) => (Sign.intern_const thy s, ts)
skalberg@15531
   409
          | _ => case_error "Head is not a constructor" NONE [t, u], u)
berghofe@14799
   410
        | dest_case1 t = raise TERM ("dest_case1", [t]);
berghofe@14799
   411
      fun dest_case2 (Const ("_case2", _) $ t $ u) = t :: dest_case2 u
berghofe@14799
   412
        | dest_case2 t = [t];
berghofe@14799
   413
      val cases as ((cname, _), _) :: _ = map dest_case1 (dest_case2 u);
wenzelm@18857
   414
      val tab = Symtab.dest (get_datatypes thy);
berghofe@14799
   415
      val (cases', default) = (case split_last cases of
skalberg@15531
   416
          (cases', (("dummy_pattern", []), t)) => (cases', SOME t)
skalberg@15531
   417
        | _ => (cases, NONE))
berghofe@14799
   418
      fun abstr (Free (x, T), body) = Term.absfree (x, T, body)
berghofe@14799
   419
        | abstr (Const ("_constrain", _) $ Free (x, T) $ tT, body) =
berghofe@14799
   420
            Syntax.const Syntax.constrainAbsC $ Term.absfree (x, T, body) $ tT
berghofe@14799
   421
        | abstr (Const ("Pair", _) $ x $ y, body) =
berghofe@14799
   422
            Syntax.const "split" $ abstr (x, abstr (y, body))
skalberg@15531
   423
        | abstr (t, _) = case_error "Illegal pattern" NONE [t];
berghofe@14799
   424
    in case find_first (fn (_, {descr, index, ...}) =>
skalberg@15570
   425
      exists (equal cname o fst) (#3 (snd (List.nth (descr, index))))) tab of
skalberg@15531
   426
        NONE => case_error ("Not a datatype constructor: " ^ cname) NONE [u]
berghofe@18319
   427
      | SOME (tname, {descr, sorts, case_name, index, ...}) =>
berghofe@14799
   428
        let
berghofe@14799
   429
          val _ = if exists (equal "dummy_pattern" o fst o fst) cases' then
skalberg@15531
   430
            case_error "Illegal occurrence of '_' dummy pattern" (SOME tname) [u] else ();
skalberg@15570
   431
          val (_, (_, dts, constrs)) = List.nth (descr, index);
berghofe@14799
   432
          fun find_case (cases, (s, dt)) =
berghofe@14799
   433
            (case find_first (equal s o fst o fst) cases' of
skalberg@15531
   434
               NONE => (case default of
skalberg@15531
   435
                   NONE => case_error ("No clause for constructor " ^ s) (SOME tname) [u]
skalberg@15531
   436
                 | SOME t => (cases, list_abs (map (rpair dummyT) (DatatypeProp.make_tnames
berghofe@14799
   437
                     (map (typ_of_dtyp descr sorts) dt)), t)))
skalberg@15531
   438
             | SOME (c as ((_, vs), t)) =>
berghofe@14799
   439
                 if length dt <> length vs then
berghofe@14799
   440
                    case_error ("Wrong number of arguments for constructor " ^ s)
skalberg@15531
   441
                      (SOME tname) vs
skalberg@15574
   442
                 else (cases \ c, foldr abstr t vs))
berghofe@14799
   443
          val (cases'', fs) = foldl_map find_case (cases', constrs)
berghofe@14799
   444
        in case (cases'', length constrs = length cases', default) of
skalberg@15531
   445
            ([], true, SOME _) =>
skalberg@15531
   446
              case_error "Extra '_' dummy pattern" (SOME tname) [u]
berghofe@14799
   447
          | (_ :: _, _, _) =>
wenzelm@19046
   448
              let val extra = distinct (op =) (map (fst o fst) cases'')
berghofe@14799
   449
              in case extra \\ map fst constrs of
berghofe@14799
   450
                  [] => case_error ("More than one clause for constructor(s) " ^
skalberg@15531
   451
                    commas extra) (SOME tname) [u]
berghofe@14799
   452
                | extra' => case_error ("Illegal constructor(s): " ^ commas extra')
skalberg@15531
   453
                    (SOME tname) [u]
berghofe@14799
   454
              end
berghofe@14799
   455
          | _ => list_comb (Syntax.const case_name, fs) $ t
berghofe@14799
   456
        end
berghofe@14799
   457
    end
wenzelm@18857
   458
  | case_tr _ ts = raise TERM ("case_tr", ts);
berghofe@14799
   459
wenzelm@18857
   460
fun case_tr' constrs context ts =
berghofe@14799
   461
  if length ts <> length constrs + 1 then raise Match else
berghofe@14799
   462
  let
berghofe@14799
   463
    val (fs, x) = split_last ts;
berghofe@14799
   464
    fun strip_abs 0 t = ([], t)
berghofe@14799
   465
      | strip_abs i (Abs p) =
berghofe@14799
   466
        let val (x, u) = Syntax.atomic_abs_tr' p
berghofe@14799
   467
        in apfst (cons x) (strip_abs (i-1) u) end
berghofe@14799
   468
      | strip_abs i (Const ("split", _) $ t) = (case strip_abs (i+1) t of
berghofe@14799
   469
          (v :: v' :: vs, u) => (Syntax.const "Pair" $ v $ v' :: vs, u));
berghofe@14799
   470
    fun is_dependent i t =
berghofe@14799
   471
      let val k = length (strip_abs_vars t) - i
berghofe@14799
   472
      in k < 0 orelse exists (fn j => j >= k)
berghofe@14799
   473
        (loose_bnos (strip_abs_body t))
berghofe@14799
   474
      end;
berghofe@14799
   475
    val cases = map (fn ((cname, dts), t) =>
wenzelm@18857
   476
      (Sign.extern_const (Context.theory_of context) cname,
berghofe@14799
   477
       strip_abs (length dts) t, is_dependent (length dts) t))
berghofe@14799
   478
      (constrs ~~ fs);
berghofe@14799
   479
    fun count_cases (cs, (_, _, true)) = cs
haftmann@17521
   480
      | count_cases (cs, (cname, (_, body), false)) = (case AList.lookup (op =) cs body of
skalberg@15531
   481
          NONE => (body, [cname]) :: cs
haftmann@17325
   482
        | SOME cnames => AList.update (op =) (body, cnames @ [cname]) cs);
berghofe@14799
   483
    val cases' = sort (int_ord o Library.swap o pairself (length o snd))
skalberg@15570
   484
      (Library.foldl count_cases ([], cases));
berghofe@14799
   485
    fun mk_case1 (cname, (vs, body), _) = Syntax.const "_case1" $
berghofe@14799
   486
      list_comb (Syntax.const cname, vs) $ body;
berghofe@14799
   487
  in
berghofe@14799
   488
    Syntax.const "_case_syntax" $ x $
berghofe@14799
   489
      foldr1 (fn (t, u) => Syntax.const "_case2" $ t $ u) (map mk_case1
berghofe@14799
   490
        (case cases' of
berghofe@14799
   491
           [] => cases
berghofe@14799
   492
         | (default, cnames) :: _ =>
berghofe@14799
   493
           if length cnames = 1 then cases
berghofe@14799
   494
           else if length cnames = length constrs then
berghofe@14799
   495
             [hd cases, ("dummy_pattern", ([], default), false)]
berghofe@14799
   496
           else
berghofe@14799
   497
             filter_out (fn (cname, _, _) => cname mem cnames) cases @
berghofe@14799
   498
             [("dummy_pattern", ([], default), false)]))
berghofe@14799
   499
  end;
berghofe@14799
   500
skalberg@15570
   501
fun make_case_tr' case_names descr = List.concat (map
berghofe@14799
   502
  (fn ((_, (_, _, constrs)), case_name) => map (rpair (case_tr' constrs))
berghofe@14799
   503
    (NameSpace.accesses' case_name)) (descr ~~ case_names));
berghofe@14799
   504
berghofe@14799
   505
val trfun_setup =
wenzelm@18708
   506
  Theory.add_advanced_trfuns ([], [("_case_syntax", case_tr)], [], []);
berghofe@14799
   507
berghofe@14799
   508
berghofe@5177
   509
(* prepare types *)
berghofe@5177
   510
berghofe@5177
   511
fun read_typ sign ((Ts, sorts), str) =
berghofe@5177
   512
  let
haftmann@17521
   513
    val T = Type.no_tvars (Sign.read_typ (sign, AList.lookup (op =)
berghofe@5177
   514
      (map (apfst (rpair ~1)) sorts)) str) handle TYPE (msg, _, _) => error msg
berghofe@5177
   515
  in (Ts @ [T], add_typ_tfrees (T, sorts)) end;
berghofe@5177
   516
berghofe@5177
   517
fun cert_typ sign ((Ts, sorts), raw_T) =
berghofe@5177
   518
  let
berghofe@5177
   519
    val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle
berghofe@5177
   520
      TYPE (msg, _, _) => error msg;
berghofe@5177
   521
    val sorts' = add_typ_tfrees (T, sorts)
berghofe@5177
   522
  in (Ts @ [T],
wenzelm@18964
   523
      case duplicates (op =) (map fst sorts') of
berghofe@5177
   524
         [] => sorts'
berghofe@5177
   525
       | dups => error ("Inconsistent sort constraints for " ^ commas dups))
berghofe@5177
   526
  end;
berghofe@5177
   527
berghofe@5177
   528
berghofe@5177
   529
(**** make datatype info ****)
berghofe@5177
   530
berghofe@18319
   531
fun make_dt_info descr sorts induct reccomb_names rec_thms
wenzelm@10121
   532
    (((((((((i, (_, (tname, _, _))), case_name), case_thms),
wenzelm@10121
   533
      exhaustion_thm), distinct_thm), inject), nchotomy), case_cong), weak_case_cong) =
wenzelm@10121
   534
  (tname,
wenzelm@10121
   535
   {index = i,
wenzelm@10121
   536
    descr = descr,
berghofe@18319
   537
    sorts = sorts,
wenzelm@10121
   538
    rec_names = reccomb_names,
wenzelm@10121
   539
    rec_rewrites = rec_thms,
wenzelm@10121
   540
    case_name = case_name,
wenzelm@10121
   541
    case_rewrites = case_thms,
wenzelm@10121
   542
    induction = induct,
wenzelm@10121
   543
    exhaustion = exhaustion_thm,
wenzelm@10121
   544
    distinct = distinct_thm,
wenzelm@10121
   545
    inject = inject,
wenzelm@10121
   546
    nchotomy = nchotomy,
wenzelm@10121
   547
    case_cong = case_cong,
wenzelm@10121
   548
    weak_case_cong = weak_case_cong});
berghofe@5177
   549
berghofe@5177
   550
berghofe@5177
   551
(********************* axiomatic introduction of datatypes ********************)
berghofe@5177
   552
wenzelm@8437
   553
fun add_and_get_axioms_atts label tnames attss ts thy =
skalberg@15574
   554
  foldr (fn (((tname, atts), t), (thy', axs)) =>
berghofe@5177
   555
    let
haftmann@18377
   556
      val ([ax], thy'') =
haftmann@18377
   557
        thy'
haftmann@18377
   558
        |> Theory.add_path tname
haftmann@18377
   559
        |> PureThy.add_axioms_i [((label, t), atts)];
berghofe@5661
   560
    in (Theory.parent_path thy'', ax::axs)
haftmann@18377
   561
    end) (thy, []) (tnames ~~ attss ~~ ts) |> swap;
wenzelm@8437
   562
wenzelm@8437
   563
fun add_and_get_axioms label tnames =
wenzelm@8437
   564
  add_and_get_axioms_atts label tnames (replicate (length tnames) []);
berghofe@5177
   565
berghofe@5177
   566
fun add_and_get_axiomss label tnames tss thy =
skalberg@15574
   567
  foldr (fn ((tname, ts), (thy', axss)) =>
berghofe@5177
   568
    let
haftmann@18377
   569
      val ([axs], thy'') =
haftmann@18377
   570
        thy'
haftmann@18377
   571
        |> Theory.add_path tname
haftmann@18377
   572
        |> PureThy.add_axiomss_i [((label, ts), [])];
berghofe@5661
   573
    in (Theory.parent_path thy'', axs::axss)
haftmann@18377
   574
    end) (thy, []) (tnames ~~ tss) |> swap;
berghofe@5177
   575
wenzelm@19716
   576
fun specify_consts args thy =
wenzelm@19716
   577
  let val specs =
wenzelm@19716
   578
    args |> map (fn (c, T, mx) => Const (Sign.full_name thy (Syntax.const_name c mx), T));
wenzelm@19716
   579
  in thy |> Theory.add_consts_i args |> Theory.add_finals_i false specs end;
wenzelm@19716
   580
wenzelm@8437
   581
fun add_datatype_axm flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   582
    case_names_induct case_names_exhausts thy =
berghofe@5177
   583
  let
skalberg@15570
   584
    val descr' = List.concat descr;
berghofe@5177
   585
    val recTs = get_rec_types descr' sorts;
skalberg@15574
   586
    val used = foldr add_typ_tfree_names [] recTs;
skalberg@15570
   587
    val newTs = Library.take (length (hd descr), recTs);
berghofe@5177
   588
berghofe@7015
   589
    val no_size = exists (fn (_, (_, _, constrs)) => exists (fn (_, cargs) => exists
berghofe@13641
   590
      (fn dt => is_rec_type dt andalso not (null (fst (strip_dtyp dt))))
berghofe@13641
   591
        cargs) constrs) descr';
berghofe@7015
   592
berghofe@5177
   593
    (**** declare new types and constants ****)
berghofe@5177
   594
berghofe@5177
   595
    val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr);
berghofe@5177
   596
berghofe@5177
   597
    val constr_decls = map (fn (((_, (_, _, constrs)), T), constr_syntax') =>
berghofe@5177
   598
      map (fn ((_, cargs), (cname, mx)) =>
berghofe@5177
   599
        (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5177
   600
          (constrs ~~ constr_syntax')) ((hd descr) ~~ newTs ~~ constr_syntax);
berghofe@5177
   601
berghofe@15457
   602
    val (rec_result_Ts, reccomb_fn_Ts) = DatatypeProp.make_primrec_Ts descr sorts used;
berghofe@5177
   603
berghofe@5177
   604
    val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec";
berghofe@5177
   605
    val reccomb_names = if length descr' = 1 then [big_reccomb_name] else
berghofe@5177
   606
      (map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int)
berghofe@5177
   607
        (1 upto (length descr')));
berghofe@5177
   608
berghofe@9739
   609
    val size_names = DatatypeProp.indexify_names
skalberg@15570
   610
      (map (fn T => name_of_typ T ^ "_size") (Library.drop (length (hd descr), recTs)));
berghofe@5177
   611
wenzelm@12338
   612
    val freeT = TFree (variant used "'t", HOLogic.typeS);
berghofe@5177
   613
    val case_fn_Ts = map (fn (i, (_, _, constrs)) =>
berghofe@5177
   614
      map (fn (_, cargs) =>
berghofe@5177
   615
        let val Ts = map (typ_of_dtyp descr' sorts) cargs
berghofe@5177
   616
        in Ts ---> freeT end) constrs) (hd descr);
berghofe@5177
   617
berghofe@5177
   618
    val case_names = map (fn s => (s ^ "_case")) new_type_names;
berghofe@5177
   619
berghofe@6305
   620
    val thy2' = thy |>
berghofe@5177
   621
berghofe@5177
   622
      (** new types **)
berghofe@5177
   623
skalberg@15570
   624
      curry (Library.foldr (fn (((name, mx), tvs), thy') => thy' |>
wenzelm@6385
   625
          TypedefPackage.add_typedecls [(name, tvs, mx)]))
wenzelm@6385
   626
        (types_syntax ~~ tyvars) |>
berghofe@5661
   627
      add_path flat_names (space_implode "_" new_type_names) |>
berghofe@5177
   628
berghofe@5177
   629
      (** primrec combinators **)
berghofe@5177
   630
wenzelm@19716
   631
      specify_consts (map (fn ((name, T), T') =>
wenzelm@19716
   632
        (name, reccomb_fn_Ts @ [T] ---> T', NoSyn)) (reccomb_names ~~ recTs ~~ rec_result_Ts)) |>
berghofe@5177
   633
berghofe@5177
   634
      (** case combinators **)
berghofe@5177
   635
wenzelm@19716
   636
      specify_consts (map (fn ((name, T), Ts) =>
wenzelm@19716
   637
        (name, Ts @ [T] ---> freeT, NoSyn)) (case_names ~~ newTs ~~ case_fn_Ts));
berghofe@6305
   638
wenzelm@19716
   639
    val reccomb_names' = map (Sign.full_name thy2') reccomb_names;
wenzelm@19716
   640
    val case_names' = map (Sign.full_name thy2') case_names;
berghofe@6305
   641
berghofe@6305
   642
    val thy2 = thy2' |>
berghofe@5177
   643
berghofe@5177
   644
      (** size functions **)
berghofe@5177
   645
wenzelm@19716
   646
      (if no_size then I else specify_consts (map (fn (s, T) =>
berghofe@5177
   647
        (Sign.base_name s, T --> HOLogic.natT, NoSyn))
skalberg@15570
   648
          (size_names ~~ Library.drop (length (hd descr), recTs)))) |>
berghofe@5661
   649
berghofe@5661
   650
      (** constructors **)
berghofe@5661
   651
berghofe@5661
   652
      parent_path flat_names |>
skalberg@15570
   653
      curry (Library.foldr (fn (((((_, (_, _, constrs)), T), tname),
berghofe@5661
   654
        constr_syntax'), thy') => thy' |>
berghofe@5661
   655
          add_path flat_names tname |>
wenzelm@19716
   656
            specify_consts (map (fn ((_, cargs), (cname, mx)) =>
berghofe@5661
   657
              (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
berghofe@5661
   658
                (constrs ~~ constr_syntax')) |>
berghofe@5661
   659
          parent_path flat_names))
berghofe@5661
   660
            (hd descr ~~ newTs ~~ new_type_names ~~ constr_syntax);
berghofe@5177
   661
berghofe@5177
   662
    (**** introduction of axioms ****)
berghofe@5177
   663
berghofe@5661
   664
    val rec_axs = DatatypeProp.make_primrecs new_type_names descr sorts thy2;
berghofe@9739
   665
    val size_axs = if no_size then [] else DatatypeProp.make_size descr sorts thy2;
berghofe@5661
   666
haftmann@18377
   667
    val ((([induct], [rec_thms]), inject), thy3) =
haftmann@18377
   668
      thy2
haftmann@18377
   669
      |> Theory.add_path (space_implode "_" new_type_names)
haftmann@18377
   670
      |> PureThy.add_axioms_i [(("induct", DatatypeProp.make_ind descr sorts),
haftmann@18377
   671
          [case_names_induct])]
haftmann@18377
   672
      ||>> PureThy.add_axiomss_i [(("recs", rec_axs), [])]
haftmann@18377
   673
      ||> (if no_size then I else snd o PureThy.add_axiomss_i [(("size", size_axs), [])])
haftmann@18377
   674
      ||> Theory.parent_path
haftmann@18377
   675
      ||>> add_and_get_axiomss "inject" new_type_names
haftmann@18377
   676
            (DatatypeProp.make_injs descr sorts);
wenzelm@16486
   677
    val size_thms = if no_size then [] else get_thms thy3 (Name "size");
haftmann@18377
   678
    val (distinct, thy4) = add_and_get_axiomss "distinct" new_type_names
berghofe@5177
   679
      (DatatypeProp.make_distincts new_type_names descr sorts thy3) thy3;
wenzelm@8437
   680
wenzelm@8437
   681
    val exhaust_ts = DatatypeProp.make_casedists descr sorts;
haftmann@18377
   682
    val (exhaustion, thy5) = add_and_get_axioms_atts "exhaust" new_type_names
wenzelm@8437
   683
      (map Library.single case_names_exhausts) exhaust_ts thy4;
haftmann@18377
   684
    val (case_thms, thy6) = add_and_get_axiomss "cases" new_type_names
berghofe@5177
   685
      (DatatypeProp.make_cases new_type_names descr sorts thy5) thy5;
berghofe@5177
   686
    val (split_ts, split_asm_ts) = ListPair.unzip
berghofe@5177
   687
      (DatatypeProp.make_splits new_type_names descr sorts thy6);
haftmann@18377
   688
    val (split, thy7) = add_and_get_axioms "split" new_type_names split_ts thy6;
haftmann@18377
   689
    val (split_asm, thy8) = add_and_get_axioms "split_asm" new_type_names
berghofe@5177
   690
      split_asm_ts thy7;
haftmann@18377
   691
    val (nchotomys, thy9) = add_and_get_axioms "nchotomy" new_type_names
berghofe@5177
   692
      (DatatypeProp.make_nchotomys descr sorts) thy8;
haftmann@18377
   693
    val (case_congs, thy10) = add_and_get_axioms "case_cong" new_type_names
berghofe@5177
   694
      (DatatypeProp.make_case_congs new_type_names descr sorts thy9) thy9;
haftmann@18377
   695
    val (weak_case_congs, thy11) = add_and_get_axioms "weak_case_cong" new_type_names
nipkow@8601
   696
      (DatatypeProp.make_weak_case_congs new_type_names descr sorts thy10) thy10;
wenzelm@8405
   697
berghofe@18319
   698
    val dt_infos = map (make_dt_info descr' sorts induct reccomb_names' rec_thms)
berghofe@6305
   699
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names' ~~ case_thms ~~
berghofe@7015
   700
        exhaustion ~~ replicate (length (hd descr)) QuickAndDirty ~~ inject ~~
wenzelm@10121
   701
          nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   702
skalberg@15570
   703
    val simps = List.concat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
wenzelm@9386
   704
    val split_thms = split ~~ split_asm;
berghofe@5177
   705
haftmann@18518
   706
    val thy12 =
haftmann@18518
   707
      thy11
haftmann@18518
   708
      |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names' (hd descr), [])
haftmann@18518
   709
      |> Theory.add_path (space_implode "_" new_type_names)
haftmann@18518
   710
      |> add_rules simps case_thms size_thms rec_thms inject distinct
wenzelm@18728
   711
          weak_case_congs Simplifier.cong_add
haftmann@18518
   712
      |> put_datatypes (fold Symtab.update dt_infos dt_info)
haftmann@18518
   713
      |> add_cases_induct dt_infos induct
haftmann@18518
   714
      |> Theory.parent_path
haftmann@19599
   715
      |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms)
haftmann@19599
   716
      |> snd
haftmann@18518
   717
      |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
haftmann@19599
   718
      |> fold (DatatypeHooks.invoke o fst) dt_infos;
berghofe@5177
   719
  in
haftmann@18008
   720
    ({distinct = distinct,
berghofe@5177
   721
      inject = inject,
berghofe@5177
   722
      exhaustion = exhaustion,
berghofe@5177
   723
      rec_thms = rec_thms,
berghofe@5177
   724
      case_thms = case_thms,
wenzelm@9386
   725
      split_thms = split_thms,
berghofe@5177
   726
      induction = induct,
berghofe@5177
   727
      size = size_thms,
haftmann@18008
   728
      simps = simps}, thy12)
berghofe@5177
   729
  end;
berghofe@5177
   730
berghofe@5177
   731
berghofe@5177
   732
(******************* definitional introduction of datatypes *******************)
berghofe@5177
   733
wenzelm@8437
   734
fun add_datatype_def flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   735
    case_names_induct case_names_exhausts thy =
berghofe@5177
   736
  let
wenzelm@6360
   737
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   738
haftmann@18314
   739
    val ((inject, distinct, dist_rewrites, simproc_dists, induct), thy2) = thy |>
berghofe@5661
   740
      DatatypeRepProofs.representation_proofs flat_names dt_info new_type_names descr sorts
wenzelm@8437
   741
        types_syntax constr_syntax case_names_induct;
berghofe@5177
   742
haftmann@18314
   743
    val (casedist_thms, thy3) = DatatypeAbsProofs.prove_casedist_thms new_type_names descr
wenzelm@8437
   744
      sorts induct case_names_exhausts thy2;
haftmann@18314
   745
    val ((reccomb_names, rec_thms), thy4) = DatatypeAbsProofs.prove_primrec_thms
wenzelm@20054
   746
      flat_names new_type_names descr sorts dt_info inject dist_rewrites
wenzelm@20054
   747
      (Simplifier.theory_context thy3 dist_ss) induct thy3;
haftmann@18314
   748
    val ((case_thms, case_names), thy6) = DatatypeAbsProofs.prove_case_thms
berghofe@5661
   749
      flat_names new_type_names descr sorts reccomb_names rec_thms thy4;
haftmann@18314
   750
    val (split_thms, thy7) = DatatypeAbsProofs.prove_split_thms new_type_names
berghofe@5177
   751
      descr sorts inject dist_rewrites casedist_thms case_thms thy6;
haftmann@18314
   752
    val (nchotomys, thy8) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   753
      descr sorts casedist_thms thy7;
haftmann@18314
   754
    val (case_congs, thy9) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   755
      descr sorts nchotomys case_thms thy8;
haftmann@18314
   756
    val (weak_case_congs, thy10) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   757
      descr sorts thy9;
haftmann@18314
   758
    val (size_thms, thy11) = DatatypeAbsProofs.prove_size_thms flat_names new_type_names
nipkow@8601
   759
      descr sorts reccomb_names rec_thms thy10;
berghofe@5177
   760
berghofe@18319
   761
    val dt_infos = map (make_dt_info (List.concat descr) sorts induct reccomb_names rec_thms)
berghofe@5177
   762
      ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names ~~ case_thms ~~
wenzelm@10121
   763
        casedist_thms ~~ simproc_dists ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   764
skalberg@15570
   765
    val simps = List.concat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   766
haftmann@18518
   767
    val thy12 =
haftmann@18518
   768
      thy11
haftmann@18518
   769
      |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names (hd descr), [])
haftmann@18518
   770
      |> Theory.add_path (space_implode "_" new_type_names)
haftmann@18518
   771
      |> add_rules simps case_thms size_thms rec_thms inject distinct
wenzelm@18728
   772
          weak_case_congs (Simplifier.attrib (op addcongs))
haftmann@18518
   773
      |> put_datatypes (fold Symtab.update dt_infos dt_info)
haftmann@18518
   774
      |> add_cases_induct dt_infos induct
haftmann@18518
   775
      |> Theory.parent_path
haftmann@18518
   776
      |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms) |> snd
haftmann@18518
   777
      |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
haftmann@19599
   778
      |> fold (DatatypeHooks.invoke o fst) dt_infos;
berghofe@5177
   779
  in
haftmann@18008
   780
    ({distinct = distinct,
berghofe@5177
   781
      inject = inject,
berghofe@5177
   782
      exhaustion = casedist_thms,
berghofe@5177
   783
      rec_thms = rec_thms,
berghofe@5177
   784
      case_thms = case_thms,
berghofe@5177
   785
      split_thms = split_thms,
berghofe@5177
   786
      induction = induct,
berghofe@5177
   787
      size = size_thms,
haftmann@18008
   788
      simps = simps}, thy12)
berghofe@5177
   789
  end;
berghofe@5177
   790
berghofe@5177
   791
wenzelm@6385
   792
(*********************** declare existing type as datatype *********************)
berghofe@5177
   793
wenzelm@6385
   794
fun gen_rep_datatype apply_theorems alt_names raw_distinct raw_inject raw_induction thy0 =
berghofe@5177
   795
  let
wenzelm@12922
   796
    val _ = Theory.requires thy0 "Inductive" "datatype representations";
wenzelm@12922
   797
haftmann@18418
   798
    val (((distinct, inject), [induction]), thy1) =
haftmann@18418
   799
      thy0
haftmann@18418
   800
      |> fold_map apply_theorems raw_distinct
haftmann@18418
   801
      ||>> fold_map apply_theorems raw_inject
haftmann@18418
   802
      ||>> apply_theorems [raw_induction];
wenzelm@6394
   803
    val sign = Theory.sign_of thy1;
berghofe@5177
   804
wenzelm@19925
   805
    val ([induction'], _) = Variable.importT [induction] (Variable.thm_context induction);
berghofe@5177
   806
berghofe@5177
   807
    fun err t = error ("Ill-formed predicate in induction rule: " ^
berghofe@5177
   808
      Sign.string_of_term sign t);
berghofe@5177
   809
berghofe@5177
   810
    fun get_typ (t as _ $ Var (_, Type (tname, Ts))) =
berghofe@7015
   811
          ((tname, map dest_TFree Ts) handle TERM _ => err t)
berghofe@5177
   812
      | get_typ t = err t;
berghofe@5177
   813
wenzelm@8437
   814
    val dtnames = map get_typ (HOLogic.dest_conj (HOLogic.dest_Trueprop (Thm.concl_of induction')));
skalberg@15570
   815
    val new_type_names = getOpt (alt_names, map fst dtnames);
berghofe@5177
   816
berghofe@5177
   817
    fun get_constr t = (case Logic.strip_assums_concl t of
berghofe@5177
   818
        _ $ (_ $ t') => (case head_of t' of
berghofe@5177
   819
            Const (cname, cT) => (case strip_type cT of
berghofe@5177
   820
                (Ts, Type (tname, _)) => (tname, (cname, map (dtyp_of_typ dtnames) Ts))
berghofe@5177
   821
              | _ => err t)
berghofe@5177
   822
          | _ => err t)
berghofe@5177
   823
      | _ => err t);
berghofe@5177
   824
berghofe@5177
   825
    fun make_dt_spec [] _ _ = []
berghofe@5177
   826
      | make_dt_spec ((tname, tvs)::dtnames') i constrs =
berghofe@5177
   827
          let val (constrs', constrs'') = take_prefix (equal tname o fst) constrs
berghofe@5177
   828
          in (i, (tname, map DtTFree tvs, map snd constrs'))::
berghofe@5177
   829
            (make_dt_spec dtnames' (i + 1) constrs'')
berghofe@5177
   830
          end;
berghofe@5177
   831
berghofe@5177
   832
    val descr = make_dt_spec dtnames 0 (map get_constr (prems_of induction'));
berghofe@5177
   833
    val sorts = add_term_tfrees (concl_of induction', []);
wenzelm@6385
   834
    val dt_info = get_datatypes thy1;
berghofe@5177
   835
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 dtnames);
wenzelm@8437
   838
    
wenzelm@8437
   839
wenzelm@6427
   840
    val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
berghofe@5177
   841
haftmann@18314
   842
    val (casedist_thms, thy2) = thy1 |>
wenzelm@8437
   843
      DatatypeAbsProofs.prove_casedist_thms new_type_names [descr] sorts induction
wenzelm@8437
   844
        case_names_exhausts;
haftmann@18314
   845
    val ((reccomb_names, rec_thms), thy3) = DatatypeAbsProofs.prove_primrec_thms
wenzelm@20054
   846
      false new_type_names [descr] sorts dt_info inject distinct
wenzelm@20054
   847
      (Simplifier.theory_context thy2 dist_ss) induction thy2;
haftmann@18314
   848
    val ((case_thms, case_names), thy4) = DatatypeAbsProofs.prove_case_thms false
berghofe@5177
   849
      new_type_names [descr] sorts reccomb_names rec_thms thy3;
haftmann@18314
   850
    val (split_thms, thy5) = DatatypeAbsProofs.prove_split_thms
berghofe@5177
   851
      new_type_names [descr] sorts inject distinct casedist_thms case_thms thy4;
haftmann@18314
   852
    val (nchotomys, thy6) = DatatypeAbsProofs.prove_nchotomys new_type_names
berghofe@5177
   853
      [descr] sorts casedist_thms thy5;
haftmann@18314
   854
    val (case_congs, thy7) = DatatypeAbsProofs.prove_case_congs new_type_names
berghofe@5177
   855
      [descr] sorts nchotomys case_thms thy6;
haftmann@18314
   856
    val (weak_case_congs, thy8) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
nipkow@8601
   857
      [descr] sorts thy7;
haftmann@18314
   858
    val (size_thms, thy9) =
wenzelm@16430
   859
      if Context.exists_name "NatArith" thy8 then
berghofe@5661
   860
        DatatypeAbsProofs.prove_size_thms false new_type_names
nipkow@8601
   861
          [descr] sorts reccomb_names rec_thms thy8
haftmann@18314
   862
      else ([], thy8);
berghofe@5177
   863
haftmann@18377
   864
    val ((_, [induction']), thy10) =
haftmann@18377
   865
      thy9
haftmann@18377
   866
      |> store_thmss "inject" new_type_names inject
haftmann@18377
   867
      ||>> store_thmss "distinct" new_type_names distinct
haftmann@18377
   868
      ||> Theory.add_path (space_implode "_" new_type_names)
haftmann@18377
   869
      ||>> PureThy.add_thms [(("induct", induction), [case_names_induct])];
wenzelm@9149
   870
berghofe@18319
   871
    val dt_infos = map (make_dt_info descr sorts induction' reccomb_names rec_thms)
wenzelm@10121
   872
      ((0 upto length descr - 1) ~~ descr ~~ case_names ~~ case_thms ~~ casedist_thms ~~
wenzelm@10121
   873
        map FewConstrs distinct ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
berghofe@5177
   874
skalberg@15570
   875
    val simps = List.concat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
berghofe@5177
   876
haftmann@19599
   877
    val thy11 =
haftmann@19599
   878
      thy10
haftmann@19599
   879
      |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names descr, [])
haftmann@19599
   880
      |> add_rules simps case_thms size_thms rec_thms inject distinct
haftmann@19599
   881
           weak_case_congs (Simplifier.attrib (op addcongs))
haftmann@19599
   882
      |> put_datatypes (fold Symtab.update dt_infos dt_info)
haftmann@19599
   883
      |> add_cases_induct dt_infos induction'
haftmann@19599
   884
      |> Theory.parent_path
haftmann@19599
   885
      |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms)
haftmann@19599
   886
      |> snd
haftmann@19599
   887
      |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
haftmann@19599
   888
      |> fold (DatatypeHooks.invoke o fst) dt_infos;
berghofe@5177
   889
  in
haftmann@18008
   890
    ({distinct = distinct,
berghofe@5177
   891
      inject = inject,
berghofe@5177
   892
      exhaustion = casedist_thms,
berghofe@5177
   893
      rec_thms = rec_thms,
berghofe@5177
   894
      case_thms = case_thms,
berghofe@5177
   895
      split_thms = split_thms,
wenzelm@8437
   896
      induction = induction',
berghofe@5177
   897
      size = size_thms,
haftmann@18008
   898
      simps = simps}, thy11)
berghofe@5177
   899
  end;
berghofe@5177
   900
wenzelm@6385
   901
val rep_datatype = gen_rep_datatype IsarThy.apply_theorems;
wenzelm@6385
   902
val rep_datatype_i = gen_rep_datatype IsarThy.apply_theorems_i;
wenzelm@6385
   903
berghofe@5177
   904
wenzelm@11958
   905
berghofe@5177
   906
(******************************** add datatype ********************************)
berghofe@5177
   907
berghofe@14887
   908
fun gen_add_datatype prep_typ err flat_names new_type_names dts thy =
berghofe@5177
   909
  let
wenzelm@12922
   910
    val _ = Theory.requires thy "Datatype_Universe" "datatype definitions";
berghofe@5177
   911
berghofe@5177
   912
    (* this theory is used just for parsing *)
berghofe@5177
   913
berghofe@5177
   914
    val tmp_thy = thy |>
wenzelm@5892
   915
      Theory.copy |>
berghofe@5177
   916
      Theory.add_types (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   917
        (tname, length tvs, mx)) dts);
berghofe@5177
   918
wenzelm@6394
   919
    val sign = Theory.sign_of tmp_thy;
berghofe@5177
   920
berghofe@5661
   921
    val (tyvars, _, _, _)::_ = dts;
berghofe@5177
   922
    val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) =>
berghofe@5177
   923
      let val full_tname = Sign.full_name sign (Syntax.type_name tname mx)
wenzelm@18964
   924
      in (case duplicates (op =) tvs of
berghofe@5661
   925
            [] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx))
berghofe@5661
   926
                  else error ("Mutually recursive datatypes must have same type parameters")
berghofe@5177
   927
          | dups => error ("Duplicate parameter(s) for datatype " ^ full_tname ^
berghofe@5177
   928
              " : " ^ commas dups))
berghofe@5177
   929
      end) dts);
berghofe@5177
   930
wenzelm@18964
   931
    val _ = (case duplicates (op =) (map fst new_dts) @ duplicates (op =) new_type_names of
berghofe@5177
   932
      [] => () | dups => error ("Duplicate datatypes: " ^ commas dups));
berghofe@5177
   933
berghofe@5177
   934
    fun prep_dt_spec ((dts', constr_syntax, sorts, i), (tvs, tname, mx, constrs)) =
berghofe@5177
   935
      let
berghofe@5661
   936
        fun prep_constr ((constrs, constr_syntax', sorts'), (cname, cargs, mx')) =
berghofe@5279
   937
          let
skalberg@15570
   938
            val (cargs', sorts'') = Library.foldl (prep_typ sign) (([], sorts'), cargs);
skalberg@15574
   939
            val _ = (case foldr add_typ_tfree_names [] cargs' \\ tvs of
berghofe@5279
   940
                [] => ()
berghofe@5279
   941
              | vs => error ("Extra type variables on rhs: " ^ commas vs))
berghofe@5661
   942
          in (constrs @ [((if flat_names then Sign.full_name sign else
berghofe@5661
   943
                Sign.full_name_path sign tname) (Syntax.const_name cname mx'),
berghofe@5177
   944
                   map (dtyp_of_typ new_dts) cargs')],
berghofe@5177
   945
              constr_syntax' @ [(cname, mx')], sorts'')
wenzelm@18678
   946
          end handle ERROR msg =>
wenzelm@18678
   947
            cat_error msg ("The error above occured in constructor " ^ cname ^
berghofe@5177
   948
              " of datatype " ^ tname);
berghofe@5177
   949
berghofe@5177
   950
        val (constrs', constr_syntax', sorts') =
skalberg@15570
   951
          Library.foldl prep_constr (([], [], sorts), constrs)
berghofe@5177
   952
wenzelm@8405
   953
      in
wenzelm@18964
   954
        case duplicates (op =) (map fst constrs') of
berghofe@5177
   955
           [] =>
berghofe@5177
   956
             (dts' @ [(i, (Sign.full_name sign (Syntax.type_name tname mx),
berghofe@5177
   957
                map DtTFree tvs, constrs'))],
berghofe@5177
   958
              constr_syntax @ [constr_syntax'], sorts', i + 1)
berghofe@5177
   959
         | dups => error ("Duplicate constructors " ^ commas dups ^
berghofe@5177
   960
             " in datatype " ^ tname)
berghofe@5177
   961
      end;
berghofe@5177
   962
skalberg@15570
   963
    val (dts', constr_syntax, sorts', i) = Library.foldl prep_dt_spec (([], [], [], 0), dts);
berghofe@7015
   964
    val sorts = sorts' @ (map (rpair (Sign.defaultS sign)) (tyvars \\ map fst sorts'));
berghofe@5177
   965
    val dt_info = get_datatypes thy;
berghofe@7015
   966
    val (descr, _) = unfold_datatypes sign dts' sorts dt_info dts' i;
berghofe@14887
   967
    val _ = check_nonempty descr handle (exn as Datatype_Empty s) =>
wenzelm@15661
   968
      if err then error ("Nonemptiness check failed for datatype " ^ s)
berghofe@14887
   969
      else raise exn;
berghofe@5177
   970
skalberg@15570
   971
    val descr' = List.concat descr;
wenzelm@8437
   972
    val case_names_induct = mk_case_names_induct descr';
wenzelm@8437
   973
    val case_names_exhausts = mk_case_names_exhausts descr' (map #1 new_dts);
berghofe@5177
   974
  in
berghofe@5177
   975
    (if (!quick_and_dirty) then add_datatype_axm else add_datatype_def)
wenzelm@8437
   976
      flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
wenzelm@8437
   977
      case_names_induct case_names_exhausts thy
berghofe@5177
   978
  end;
berghofe@5177
   979
berghofe@5177
   980
val add_datatype_i = gen_add_datatype cert_typ;
berghofe@14887
   981
val add_datatype = gen_add_datatype read_typ true;
berghofe@5177
   982
wenzelm@6360
   983
haftmann@18451
   984
wenzelm@6360
   985
(** package setup **)
wenzelm@6360
   986
wenzelm@6360
   987
(* setup theory *)
wenzelm@6360
   988
wenzelm@18708
   989
val setup =
wenzelm@18708
   990
  DatatypesData.init #> Method.add_methods tactic_emulations #> simproc_setup #> trfun_setup;
wenzelm@6360
   991
wenzelm@6360
   992
wenzelm@6360
   993
(* outer syntax *)
wenzelm@6360
   994
wenzelm@17057
   995
local structure P = OuterParse and K = OuterKeyword in
wenzelm@6360
   996
wenzelm@6360
   997
val datatype_decl =
wenzelm@6723
   998
  Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.name -- P.opt_infix --
wenzelm@12876
   999
    (P.$$$ "=" |-- P.enum1 "|" (P.name -- Scan.repeat P.typ -- P.opt_mixfix));
wenzelm@6360
  1000
wenzelm@6360
  1001
fun mk_datatype args =
wenzelm@6360
  1002
  let
skalberg@15531
  1003
    val names = map (fn ((((NONE, _), t), _), _) => t | ((((SOME t, _), _), _), _) => t) args;
wenzelm@12876
  1004
    val specs = map (fn ((((_, vs), t), mx), cons) =>
wenzelm@12876
  1005
      (vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args;
haftmann@18008
  1006
  in snd o add_datatype false names specs end;
wenzelm@6360
  1007
wenzelm@6360
  1008
val datatypeP =
wenzelm@6723
  1009
  OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl
wenzelm@6723
  1010
    (P.and_list1 datatype_decl >> (Toplevel.theory o mk_datatype));
wenzelm@6360
  1011
wenzelm@6385
  1012
wenzelm@6385
  1013
val rep_datatype_decl =
wenzelm@6723
  1014
  Scan.option (Scan.repeat1 P.name) --
wenzelm@11958
  1015
    Scan.optional (P.$$$ "distinct" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
wenzelm@11958
  1016
    Scan.optional (P.$$$ "inject" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
wenzelm@6723
  1017
    (P.$$$ "induction" |-- P.!!! P.xthm);
wenzelm@6385
  1018
haftmann@18008
  1019
fun mk_rep_datatype (((opt_ts, dss), iss), ind) = #2 o rep_datatype opt_ts dss iss ind;
wenzelm@6385
  1020
wenzelm@6385
  1021
val rep_datatypeP =
wenzelm@6723
  1022
  OuterSyntax.command "rep_datatype" "represent existing types inductively" K.thy_decl
wenzelm@6385
  1023
    (rep_datatype_decl >> (Toplevel.theory o mk_rep_datatype));
wenzelm@6385
  1024
wenzelm@6385
  1025
wenzelm@6479
  1026
val _ = OuterSyntax.add_keywords ["distinct", "inject", "induction"];
wenzelm@6385
  1027
val _ = OuterSyntax.add_parsers [datatypeP, rep_datatypeP];
wenzelm@6385
  1028
wenzelm@6385
  1029
end;
wenzelm@6385
  1030
wenzelm@6360
  1031
berghofe@5177
  1032
end;
berghofe@5177
  1033
wenzelm@6360
  1034
structure BasicDatatypePackage: BASIC_DATATYPE_PACKAGE = DatatypePackage;
wenzelm@6360
  1035
open BasicDatatypePackage;
wenzelm@15704
  1036