src/HOL/Tools/Datatype/datatype.ML
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(*  Title:      HOL/Tools/datatype.ML
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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 DATATYPE =
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sig
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  include DATATYPE_COMMON
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  val add_datatype : config -> string list -> (string list * binding * mixfix *
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    (binding * typ list * mixfix) list) list -> theory -> string list * theory
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  val datatype_cmd : string list -> (string list * binding * mixfix *
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    (binding * string list * mixfix) list) list -> theory -> theory
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  val rep_datatype : config -> (string list -> Proof.context -> Proof.context)
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    -> string list option -> term list -> theory -> Proof.state
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  val rep_datatype_cmd : string list option -> string list -> theory -> Proof.state
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  val get_info : theory -> string -> info option
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  val the_info : theory -> string -> info
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  val the_descr : theory -> string list
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    -> descr * (string * sort) list * string list
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      * string * (string list * string list) * (typ list * typ list)
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  val the_spec : theory -> string -> (string * sort) list * (string * typ list) list
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  val get_constrs : theory -> string -> (string * typ) list option
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  val get_all : theory -> info Symtab.table
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  val info_of_constr : theory -> string -> info option
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  val info_of_case : theory -> string -> info option
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  val interpretation : (config -> string list -> theory -> theory) -> theory -> theory
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  val distinct_simproc : simproc
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  val make_case :  Proof.context -> DatatypeCase.config -> string list -> term ->
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    (term * term) list -> term * (term * (int * bool)) list
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  val strip_case : Proof.context -> bool -> term -> (term * (term * term) list) option
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  val read_typ: theory ->
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    (typ list * (string * sort) list) * string -> typ list * (string * sort) list
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  val setup: theory -> theory
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end;
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structure Datatype : DATATYPE =
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struct
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open DatatypeAux;
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(** theory data **)
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(* data management *)
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structure DatatypesData = TheoryDataFun
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(
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  type T =
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    {types: info Symtab.table,
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     constrs: info Symtab.table,
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     cases: info Symtab.table};
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  val empty =
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    {types = Symtab.empty, constrs = Symtab.empty, cases = Symtab.empty};
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  val copy = I;
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  val extend = I;
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  fun merge _
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    ({types = types1, constrs = constrs1, cases = cases1},
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     {types = types2, constrs = constrs2, cases = cases2}) =
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    {types = Symtab.merge (K true) (types1, types2),
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     constrs = Symtab.merge (K true) (constrs1, constrs2),
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     cases = Symtab.merge (K true) (cases1, cases2)};
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);
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val get_all = #types o DatatypesData.get;
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val get_info = Symtab.lookup o get_all;
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fun the_info thy name = (case get_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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val info_of_constr = Symtab.lookup o #constrs o DatatypesData.get;
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val info_of_case = Symtab.lookup o #cases o DatatypesData.get;
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fun register (dt_infos : (string * info) list) =
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  DatatypesData.map (fn {types, constrs, cases} =>
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    {types = fold Symtab.update dt_infos types,
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     constrs = fold Symtab.default (*conservative wrt. overloaded constructors*)
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       (maps (fn (_, info as {descr, index, ...}) => map (rpair info o fst)
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          (#3 (the (AList.lookup op = descr index)))) dt_infos) constrs,
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     cases = fold Symtab.update
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       (map (fn (_, info as {case_name, ...}) => (case_name, info)) dt_infos)
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       cases});
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(* complex queries *)
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fun the_spec thy dtco =
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  let
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    val info as { descr, index, sorts = raw_sorts, ... } = the_info thy dtco;
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    val SOME (_, dtys, raw_cos) = AList.lookup (op =) descr index;
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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 cos = map
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      (fn (co, tys) => (co, map (DatatypeAux.typ_of_dtyp descr sorts) tys)) raw_cos;
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  in (sorts, cos) end;
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fun the_descr thy (raw_tycos as raw_tyco :: _) =
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  let
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    val info = the_info thy raw_tyco;
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    val descr = #descr info;
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    val SOME (_, dtys, raw_cos) = AList.lookup (op =) descr (#index info);
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    val vs = map ((fn v => (v, (the o AList.lookup (op =) (#sorts info)) v))
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      o dest_DtTFree) dtys;
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    fun is_DtTFree (DtTFree _) = true
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      | is_DtTFree _ = false
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    val k = find_index (fn (_, (_, dTs, _)) => not (forall is_DtTFree dTs)) descr;
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    val protoTs as (dataTs, _) = chop k descr
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      |> (pairself o map) (fn (_, (tyco, dTs, _)) => (tyco, map (typ_of_dtyp descr vs) dTs));
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    val tycos = map fst dataTs;
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    val _ = if gen_eq_set (op =) (tycos, raw_tycos) then ()
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      else error ("Type constructors " ^ commas (map quote raw_tycos)
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        ^ " do not belong exhaustively to one mutual recursive datatype");
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    val (Ts, Us) = (pairself o map) Type protoTs;
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    val names = map Long_Name.base_name (the_default tycos (#alt_names info));
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    val (auxnames, _) = Name.make_context names
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      |> fold_map (yield_singleton Name.variants o name_of_typ) Us;
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    val prefix = space_implode "_" names;
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  in (descr, vs, tycos, prefix, (names, auxnames), (Ts, Us)) end;
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fun get_constrs thy dtco =
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  case try (the_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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(** various auxiliary **)
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(* simplification procedure for showing distinctness of constructors *)
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fun stripT (i, Type ("fun", [_, T])) = stripT (i + 1, T)
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  | stripT p = p;
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fun stripC (i, f $ x) = stripC (i + 1, f)
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  | stripC p = p;
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val distinctN = "constr_distinct";
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fun distinct_rule thy ss tname eq_t = case #distinct (the_info thy tname) of
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    FewConstrs thms => Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
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      (EVERY [rtac eq_reflection 1, rtac iffI 1, rtac notE 1,
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        atac 2, resolve_tac thms 1, etac FalseE 1]))
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  | ManyConstrs (thm, simpset) =>
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      let
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        val [In0_inject, In1_inject, In0_not_In1, In1_not_In0] =
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          map (PureThy.get_thm (ThyInfo.the_theory "Datatype" thy))
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            ["In0_inject", "In1_inject", "In0_not_In1", "In1_not_In0"];
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      in
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        Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
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        (EVERY [rtac eq_reflection 1, rtac iffI 1, dtac thm 1,
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          full_simp_tac (Simplifier.inherit_context ss simpset) 1,
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          REPEAT (dresolve_tac [In0_inject, In1_inject] 1),
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          eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1,
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          etac FalseE 1]))
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      end;
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fun get_constr thy dtco =
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  get_info thy dtco
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  |> Option.map (fn { descr, index, ... } => (#3 o the o AList.lookup (op =) descr) index);
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fun distinct_proc thy ss (t as Const ("op =", _) $ t1 $ t2) =
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  (case (stripC (0, t1), stripC (0, t2)) of
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     ((i, Const (cname1, T1)), (j, Const (cname2, T2))) =>
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         (case (stripT (0, T1), stripT (0, T2)) of
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            ((i', Type (tname1, _)), (j', Type (tname2, _))) =>
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                if tname1 = tname2 andalso not (cname1 = cname2) andalso i = i' andalso j = j' then
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                   (case get_constr thy tname1 of
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                      SOME constrs => let val cnames = map fst constrs
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                        in if cname1 mem cnames andalso cname2 mem cnames then
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                             SOME (distinct_rule thy ss tname1
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                               (Logic.mk_equals (t, HOLogic.false_const)))
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                           else NONE
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                        end
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                    | NONE => NONE)
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                else NONE
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          | _ => NONE)
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   | _ => NONE)
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  | distinct_proc _ _ _ = NONE;
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val distinct_simproc =
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  Simplifier.simproc @{theory HOL} distinctN ["s = t"] distinct_proc;
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val dist_ss = HOL_ss addsimprocs [distinct_simproc];
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val simproc_setup =
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  Simplifier.map_simpset (fn ss => ss addsimprocs [distinct_simproc]);
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(* prepare datatype specifications *)
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fun read_typ thy ((Ts, sorts), str) =
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  let
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    val ctxt = ProofContext.init thy
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      |> fold (Variable.declare_typ o TFree) sorts;
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    val T = Syntax.read_typ ctxt str;
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  in (Ts @ [T], Term.add_tfreesT T sorts) end;
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fun cert_typ sign ((Ts, sorts), raw_T) =
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  let
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    val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle
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      TYPE (msg, _, _) => error msg;
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    val sorts' = Term.add_tfreesT T sorts;
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  in (Ts @ [T],
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      case duplicates (op =) (map fst sorts') of
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         [] => sorts'
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       | dups => error ("Inconsistent sort constraints for " ^ commas dups))
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  end;
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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)) = maps 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 = Long_Name.base_name (#1 (the (AList.lookup (op =) descr i)));
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    val bnames = map the_bname (distinct (op =) (maps dt_recs args));
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  in map (fn (c, _) => space_implode "_" (Long_Name.base_name c :: bnames)) constrs end;
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fun induct_cases descr =
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  DatatypeProp.indexify_names (maps (dt_cases descr) (map #2 descr));
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fun exhaust_cases descr i = dt_cases descr (the (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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    (filter (fn ((_, (name, _, _))) => member (op =) new name) descr);
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end;
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(* translation rules for case *)
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fun make_case ctxt = DatatypeCase.make_case
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  (info_of_constr (ProofContext.theory_of ctxt)) ctxt;
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fun strip_case ctxt = DatatypeCase.strip_case
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  (info_of_case (ProofContext.theory_of ctxt));
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fun add_case_tr' case_names thy =
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  Sign.add_advanced_trfuns ([], [],
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    map (fn case_name =>
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      let val case_name' = Sign.const_syntax_name thy case_name
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      in (case_name', DatatypeCase.case_tr' info_of_case case_name')
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      end) case_names, []) thy;
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val trfun_setup =
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  Sign.add_advanced_trfuns ([],
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    [("_case_syntax", DatatypeCase.case_tr true info_of_constr)],
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    [], []);
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(* document antiquotation *)
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val _ = ThyOutput.antiquotation "datatype" Args.tyname
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  (fn {source = src, context = ctxt, ...} => fn dtco =>
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    let
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      val thy = ProofContext.theory_of ctxt;
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      val (vs, cos) = the_spec thy dtco;
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      val ty = Type (dtco, map TFree vs);
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      fun pretty_typ_bracket (ty as Type (_, _ :: _)) =
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            Pretty.enclose "(" ")" [Syntax.pretty_typ ctxt ty]
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        | pretty_typ_bracket ty =
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            Syntax.pretty_typ ctxt ty;
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      fun pretty_constr (co, tys) =
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        (Pretty.block o Pretty.breaks)
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          (Syntax.pretty_term ctxt (Const (co, tys ---> ty)) ::
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            map pretty_typ_bracket tys);
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      val pretty_datatype =
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        Pretty.block
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          (Pretty.command "datatype" :: Pretty.brk 1 ::
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           Syntax.pretty_typ ctxt ty ::
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           Pretty.str " =" :: Pretty.brk 1 ::
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           flat (separate [Pretty.brk 1, Pretty.str "| "]
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             (map (single o pretty_constr) cos)));
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    in ThyOutput.output (ThyOutput.maybe_pretty_source (K pretty_datatype) src [()]) end);
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(** abstract theory extensions relative to a datatype characterisation **)
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structure DatatypeInterpretation = InterpretationFun
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  (type T = config * string list val eq: T * T -> bool = eq_snd op =);
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fun interpretation f = DatatypeInterpretation.interpretation (uncurry f);
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fun make_dt_info alt_names descr sorts induct inducts rec_names rec_rewrites
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    (index, (((((((((((_, (tname, _, _))), inject), distinct),
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      exhaust), nchotomy), case_name), case_rewrites), case_cong), weak_case_cong), (split, split_asm))) =
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  (tname,
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   {index = index,
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    alt_names = alt_names,
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    descr = descr,
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    sorts = sorts,
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    inject = inject,
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    distinct = distinct,
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    induct = induct,
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    inducts = inducts,
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    exhaust = exhaust,
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    nchotomy = nchotomy,
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    rec_names = rec_names,
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    rec_rewrites = rec_rewrites,
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    case_name = case_name,
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    case_rewrites = case_rewrites,
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    case_cong = case_cong,
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    weak_case_cong = weak_case_cong,
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    split = split,
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    split_asm = split_asm});
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fun add_rules inject distinct rec_rewrites case_rewrites  weak_case_congs simps =
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  PureThy.add_thmss [((Binding.name "simps", simps), []),
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    ((Binding.empty, flat case_rewrites @
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          flat distinct @ rec_rewrites), [Simplifier.simp_add]),
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    ((Binding.empty, rec_rewrites), [Code.add_default_eqn_attribute]),
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    ((Binding.empty, flat inject), [iff_add]),
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    ((Binding.empty, map (fn th => th RS notE) (flat distinct)), [Classical.safe_elim NONE]),
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    ((Binding.empty, weak_case_congs), [Simplifier.attrib (op addcongs)])]
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  #> snd;
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fun add_cases_induct infos inducts thy =
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  let
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    fun named_rules (name, {index, exhaust, ...}: info) =
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      [((Binding.empty, nth inducts index), [Induct.induct_type name]),
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       ((Binding.empty, exhaust), [Induct.cases_type name])];
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    fun unnamed_rule i =
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      ((Binding.empty, nth inducts i), [Thm.kind_internal, Induct.induct_type ""]);
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  in
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    thy |> PureThy.add_thms
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      (maps named_rules infos @
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        map unnamed_rule (length infos upto length inducts - 1)) |> snd
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    |> PureThy.add_thmss [((Binding.name "inducts", inducts), [])] |> snd
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  end;
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fun derive_datatype_props config dt_names alt_names descr sorts
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    induct inject (distinct_rules, distinct_rewrites, distinct_entry) thy1 =
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  let
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    val thy2 = thy1 |> Theory.checkpoint;
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    val flat_descr = flat descr;
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    val new_type_names = map Long_Name.base_name (the_default dt_names alt_names);
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    val _ = message config ("Deriving properties for datatype(s) " ^ commas_quote new_type_names);
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   354
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    val inducts = Project_Rule.projections (ProofContext.init thy2) induct;
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    val (exhaust, thy3) = DatatypeAbsProofs.prove_casedist_thms config new_type_names
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      descr sorts induct (mk_case_names_exhausts flat_descr dt_names) thy2;
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    val (nchotomys, thy4) = DatatypeAbsProofs.prove_nchotomys config new_type_names
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      descr sorts exhaust thy3;
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    val ((rec_names, rec_rewrites), thy5) = DatatypeAbsProofs.prove_primrec_thms
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      config new_type_names descr sorts (#inject o the o Symtab.lookup (get_all thy4))
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      inject distinct_rewrites (Simplifier.theory_context thy4 dist_ss) induct thy4;
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    val ((case_rewrites, case_names), thy6) = DatatypeAbsProofs.prove_case_thms
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      config new_type_names descr sorts rec_names rec_rewrites thy5;
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    val (case_congs, thy7) = DatatypeAbsProofs.prove_case_congs new_type_names
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      descr sorts nchotomys case_rewrites thy6;
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    val (weak_case_congs, thy8) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
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      descr sorts thy7;
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    val (split_thms, thy9) = DatatypeAbsProofs.prove_split_thms
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      config new_type_names descr sorts inject distinct_rewrites exhaust case_rewrites thy8;
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    val simps = flat (inject @ distinct_rules @ case_rewrites) @ rec_rewrites;
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    val dt_infos = map_index (make_dt_info alt_names flat_descr sorts induct inducts rec_names rec_rewrites)
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      (hd descr ~~ inject ~~ distinct_entry ~~ exhaust ~~ nchotomys ~~
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        case_names ~~ case_rewrites ~~ case_congs ~~ weak_case_congs ~~ split_thms);
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    val dt_names = map fst dt_infos;
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  in
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    thy9
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    |> Sign.add_path (space_implode "_" new_type_names)
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    |> add_rules inject distinct_rules rec_rewrites case_rewrites
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   381
         weak_case_congs simps
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    |> add_cases_induct dt_infos inducts
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    |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms)
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    |> snd
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   385
    |> Sign.parent_path
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    |> add_case_tr' case_names
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   387
    |> register dt_infos
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    |> DatatypeInterpretation.data (config, dt_names)
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    |> pair dt_names
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  end;
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   392
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   393
(** declare existing type as datatype **)
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   394
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   395
fun prove_rep_datatype config dt_names alt_names descr sorts raw_inject half_distinct raw_induct thy1 =
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   396
  let
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   397
    val raw_distinct = (map o maps) (fn thm => [thm, thm RS not_sym]) half_distinct;
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   398
    val new_type_names = map Long_Name.base_name (the_default dt_names alt_names);
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   399
    val (((inject, distinct), [induct]), thy2) =
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   400
      thy1
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   401
      |> store_thmss "inject" new_type_names raw_inject
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   402
      ||>> store_thmss "distinct" new_type_names raw_distinct
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   403
      ||> Sign.add_path (space_implode "_" new_type_names)
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   404
      ||>> PureThy.add_thms [((Binding.name "induct", raw_induct), [mk_case_names_induct descr])]
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   405
      ||> Sign.restore_naming thy1;
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   406
  in
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diff changeset
   407
    thy2
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   408
    |> derive_datatype_props config dt_names alt_names [descr] sorts
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   409
         induct inject (distinct, distinct, map FewConstrs distinct)
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   410
 end;
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diff changeset
   411
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   412
fun gen_rep_datatype prep_term config after_qed alt_names raw_ts thy =
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   413
  let
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   414
    fun constr_of_term (Const (c, T)) = (c, T)
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   415
      | constr_of_term t =
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   416
          error ("Not a constant: " ^ Syntax.string_of_term_global thy t);
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   417
    fun no_constr (c, T) = error ("Bad constructor: "
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   418
      ^ Sign.extern_const thy c ^ "::"
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   419
      ^ Syntax.string_of_typ_global thy T);
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   420
    fun type_of_constr (cT as (_, T)) =
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   421
      let
29270
0eade173f77e moved old add_type_XXX, add_term_XXX etc. to structure OldTerm;
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   422
        val frees = OldTerm.typ_tfrees T;
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   423
        val (tyco, vs) = ((apsnd o map) (dest_TFree) o dest_Type o snd o strip_type) T
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   424
          handle TYPE _ => no_constr cT
791607529f6d rep_datatype command now takes list of constructors as input arguments
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   425
        val _ = if has_duplicates (eq_fst (op =)) vs then no_constr cT else ();
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   426
        val _ = if length frees <> length vs then no_constr cT else ();
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diff changeset
   427
      in (tyco, (vs, cT)) end;
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diff changeset
   428
791607529f6d rep_datatype command now takes list of constructors as input arguments
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diff changeset
   429
    val raw_cs = AList.group (op =) (map (type_of_constr o constr_of_term o prep_term thy) raw_ts);
791607529f6d rep_datatype command now takes list of constructors as input arguments
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diff changeset
   430
    val _ = case map_filter (fn (tyco, _) =>
31784
bd3486c57ba3 tuned interfaces of datatype module
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parents: 31783
diff changeset
   431
        if Symtab.defined (get_all thy) tyco then SOME tyco else NONE) raw_cs
27104
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   432
     of [] => ()
791607529f6d rep_datatype command now takes list of constructors as input arguments
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diff changeset
   433
      | tycos => error ("Type(s) " ^ commas (map quote tycos)
791607529f6d rep_datatype command now takes list of constructors as input arguments
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   434
          ^ " already represented inductivly");
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diff changeset
   435
    val raw_vss = maps (map (map snd o fst) o snd) raw_cs;
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   436
    val ms = case distinct (op =) (map length raw_vss)
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   437
     of [n] => 0 upto n - 1
791607529f6d rep_datatype command now takes list of constructors as input arguments
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diff changeset
   438
      | _ => error ("Different types in given constructors");
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   439
    fun inter_sort m = map (fn xs => nth xs m) raw_vss
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   440
      |> Library.foldr1 (Sorts.inter_sort (Sign.classes_of thy))
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   441
    val sorts = map inter_sort ms;
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   442
    val vs = Name.names Name.context Name.aT sorts;
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   443
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   444
    fun norm_constr (raw_vs, (c, T)) = (c, map_atyps
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   445
      (TFree o (the o AList.lookup (op =) (map fst raw_vs ~~ vs)) o fst o dest_TFree) T);
791607529f6d rep_datatype command now takes list of constructors as input arguments
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diff changeset
   446
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   447
    val cs = map (apsnd (map norm_constr)) raw_cs;
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   448
    val dtyps_of_typ = map (dtyp_of_typ (map (rpair (map fst vs) o fst) cs))
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   449
      o fst o strip_type;
32719
36cae240b46c simplified rep_datatype
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parents: 32718
diff changeset
   450
    val dt_names = map fst cs;
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   451
791607529f6d rep_datatype command now takes list of constructors as input arguments
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parents: 27097
diff changeset
   452
    fun mk_spec (i, (tyco, constr)) = (i, (tyco,
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   453
      map (DtTFree o fst) vs,
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   454
      (map o apsnd) dtyps_of_typ constr))
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   455
    val descr = map_index mk_spec cs;
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   456
    val injs = DatatypeProp.make_injs [descr] vs;
27300
4cb3101d2bf7 DatatypeProp.make_distincts: only one half of each symmetric pair is constructed
haftmann
parents: 27277
diff changeset
   457
    val half_distincts = map snd (DatatypeProp.make_distincts [descr] vs);
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   458
    val ind = DatatypeProp.make_ind [descr] vs;
27300
4cb3101d2bf7 DatatypeProp.make_distincts: only one half of each symmetric pair is constructed
haftmann
parents: 27277
diff changeset
   459
    val rules = (map o map o map) Logic.close_form [[[ind]], injs, half_distincts];
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   460
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   461
    fun after_qed' raw_thms =
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   462
      let
32729
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   463
        val [[[raw_induct]], raw_inject, half_distinct] =
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   464
          unflat rules (map Drule.zero_var_indexes_list raw_thms);
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   465
            (*FIXME somehow dubious*)
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   466
      in
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   467
        ProofContext.theory_result
32729
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   468
          (prove_rep_datatype config dt_names alt_names descr vs raw_inject half_distinct raw_induct)
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   469
        #-> after_qed
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   470
      end;
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   471
  in
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   472
    thy
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   473
    |> ProofContext.init
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   474
    |> Proof.theorem_i NONE after_qed' ((map o map) (rpair []) (flat rules))
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   475
  end;
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   476
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   477
val rep_datatype = gen_rep_datatype Sign.cert_term;
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   478
val rep_datatype_cmd = gen_rep_datatype Syntax.read_term_global default_config (K I);
6385
5a6570458d9e rep_datatype: '_i' version, attributes, outer syntax;
wenzelm
parents: 6360
diff changeset
   479
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   480
32717
0e787c721fa3 re-established reasonable inner outline for module
haftmann
parents: 32712
diff changeset
   481
(** definitional introduction of datatypes **)
11958
2ece34b9fd8e Isar: fixed rep_datatype args;
wenzelm
parents: 11805
diff changeset
   482
32721
a5fcc7960681 emerging common infrastructure for datatype and rep_datatype
haftmann
parents: 32720
diff changeset
   483
fun gen_add_datatype prep_typ config new_type_names dts thy =
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   484
  let
20820
58693343905f removed obsolete Datatype_Universe.thy (cf. Datatype.thy);
wenzelm
parents: 20715
diff changeset
   485
    val _ = Theory.requires thy "Datatype" "datatype definitions";
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   486
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   487
    (* this theory is used just for parsing *)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   488
    val tmp_thy = thy |>
5892
e5e44cc54eb2 Attribute.tthms_of;
wenzelm
parents: 5720
diff changeset
   489
      Theory.copy |>
24712
64ed05609568 proper Sign operations instead of Theory aliases;
wenzelm
parents: 24711
diff changeset
   490
      Sign.add_types (map (fn (tvs, tname, mx, _) =>
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   491
        (tname, length tvs, mx)) dts);
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   492
5661
6ecb6ea25f19 - Changed structure of name spaces
berghofe
parents: 5578
diff changeset
   493
    val (tyvars, _, _, _)::_ = dts;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   494
    val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) =>
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   495
      let val full_tname = Sign.full_name tmp_thy (Binding.map_name (Syntax.type_name mx) tname)
18964
67f572e03236 renamed gen_duplicates to duplicates;
wenzelm
parents: 18963
diff changeset
   496
      in (case duplicates (op =) tvs of
5661
6ecb6ea25f19 - Changed structure of name spaces
berghofe
parents: 5578
diff changeset
   497
            [] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx))
6ecb6ea25f19 - Changed structure of name spaces
berghofe
parents: 5578
diff changeset
   498
                  else error ("Mutually recursive datatypes must have same type parameters")
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   499
          | dups => error ("Duplicate parameter(s) for datatype " ^ quote (Binding.str_of tname) ^
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   500
              " : " ^ commas dups))
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   501
      end) dts);
32728
2c55fc50f670 further unification of datatype and rep_datatype
haftmann
parents: 32727
diff changeset
   502
    val dt_names = map fst new_dts;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   503
18964
67f572e03236 renamed gen_duplicates to duplicates;
wenzelm
parents: 18963
diff changeset
   504
    val _ = (case duplicates (op =) (map fst new_dts) @ duplicates (op =) new_type_names of
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   505
      [] => () | dups => error ("Duplicate datatypes: " ^ commas dups));
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   506
31361
3e900a2acaed Fixed broken code dealing with alternative names.
berghofe
parents: 31247
diff changeset
   507
    fun prep_dt_spec ((tvs, tname, mx, constrs), tname') (dts', constr_syntax, sorts, i) =
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   508
      let
21045
66d6d1b0ddfa slight cleanup
haftmann
parents: 20820
diff changeset
   509
        fun prep_constr (cname, cargs, mx') (constrs, constr_syntax', sorts') =
5279
cba6a96f5812 Improved well-formedness check.
berghofe
parents: 5177
diff changeset
   510
          let
20597
65fe827aa595 code generation 2 adjustments
haftmann
parents: 20328
diff changeset
   511
            val (cargs', sorts'') = Library.foldl (prep_typ tmp_thy) (([], sorts'), cargs);
29270
0eade173f77e moved old add_type_XXX, add_term_XXX etc. to structure OldTerm;
wenzelm
parents: 29064
diff changeset
   512
            val _ = (case fold (curry OldTerm.add_typ_tfree_names) cargs' [] \\ tvs of
5279
cba6a96f5812 Improved well-formedness check.
berghofe
parents: 5177
diff changeset
   513
                [] => ()
cba6a96f5812 Improved well-formedness check.
berghofe
parents: 5177
diff changeset
   514
              | vs => error ("Extra type variables on rhs: " ^ commas vs))
32124
954321008785 dropped ancient flat_names option
haftmann
parents: 31868
diff changeset
   515
          in (constrs @ [(Sign.full_name_path tmp_thy tname'
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   516
                  (Binding.map_name (Syntax.const_name mx') cname),
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   517
                   map (dtyp_of_typ new_dts) cargs')],
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   518
              constr_syntax' @ [(cname, mx')], sorts'')
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   519
          end handle ERROR msg => cat_error msg
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   520
           ("The error above occured in constructor " ^ quote (Binding.str_of cname) ^
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   521
            " of datatype " ^ quote (Binding.str_of tname));
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   522
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   523
        val (constrs', constr_syntax', sorts') =
21045
66d6d1b0ddfa slight cleanup
haftmann
parents: 20820
diff changeset
   524
          fold prep_constr constrs ([], [], sorts)
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   525
8405
0255394a05da add_cases_induct: produce proper case names;
wenzelm
parents: 8325
diff changeset
   526
      in
18964
67f572e03236 renamed gen_duplicates to duplicates;
wenzelm
parents: 18963
diff changeset
   527
        case duplicates (op =) (map fst constrs') of
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   528
           [] =>
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   529
             (dts' @ [(i, (Sign.full_name tmp_thy (Binding.map_name (Syntax.type_name mx) tname),
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   530
                map DtTFree tvs, constrs'))],
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   531
              constr_syntax @ [constr_syntax'], sorts', i + 1)
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   532
         | dups => error ("Duplicate constructors " ^ commas dups ^
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   533
             " in datatype " ^ quote (Binding.str_of tname))
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   534
      end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   535
31361
3e900a2acaed Fixed broken code dealing with alternative names.
berghofe
parents: 31247
diff changeset
   536
    val (dts', constr_syntax, sorts', i) =
3e900a2acaed Fixed broken code dealing with alternative names.
berghofe
parents: 31247
diff changeset
   537
      fold prep_dt_spec (dts ~~ new_type_names) ([], [], [], 0);
20597
65fe827aa595 code generation 2 adjustments
haftmann
parents: 20328
diff changeset
   538
    val sorts = sorts' @ (map (rpair (Sign.defaultS tmp_thy)) (tyvars \\ map fst sorts'));
31784
bd3486c57ba3 tuned interfaces of datatype module
haftmann
parents: 31783
diff changeset
   539
    val dt_info = get_all thy;
20597
65fe827aa595 code generation 2 adjustments
haftmann
parents: 20328
diff changeset
   540
    val (descr, _) = unfold_datatypes tmp_thy dts' sorts dt_info dts' i;
14887
4938ce4ef295 Added exception Datatype_Empty.
berghofe
parents: 14799
diff changeset
   541
    val _ = check_nonempty descr handle (exn as Datatype_Empty s) =>
31668
a616e56a5ec8 datatype packages: record datatype_config for configuration flags; less verbose signatures
haftmann
parents: 31604
diff changeset
   542
      if #strict config then error ("Nonemptiness check failed for datatype " ^ s)
14887
4938ce4ef295 Added exception Datatype_Empty.
berghofe
parents: 14799
diff changeset
   543
      else raise exn;
32729
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   544
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   545
    val _ = message config ("Constructing datatype(s) " ^ commas_quote new_type_names);
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   546
    val ((inject, distinct_rules, distinct_rewrites, distinct_entry, induct), thy') = thy |>
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   547
      DatatypeRepProofs.representation_proofs config dt_info new_type_names descr sorts
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   548
        types_syntax constr_syntax (mk_case_names_induct (flat descr));
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   549
  in
32729
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   550
    derive_datatype_props config dt_names (SOME new_type_names) descr sorts
1441cf4ddc1a shared code between rep_datatype and datatype
haftmann
parents: 32728
diff changeset
   551
      induct inject (distinct_rules, distinct_rewrites, distinct_entry) thy'
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   552
  end;
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   553
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   554
val add_datatype = gen_add_datatype cert_typ;
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   555
val datatype_cmd = snd ooo gen_add_datatype read_typ default_config;
5177
0d3a168e4d44 New datatype definition package
berghofe
parents:
diff changeset
   556
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   557
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   558
(** package setup **)
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   559
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   560
(* setup theory *)
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   561
18708
4b3dadb4fe33 setup: theory -> theory;
wenzelm
parents: 18702
diff changeset
   562
val setup =
27002
215d64dc971e moved distinctness_limit to datatype_rep_proofs.ML
haftmann
parents: 26939
diff changeset
   563
  DatatypeRepProofs.distinctness_limit_setup #>
24098
f1eb34ae33af replaced dtK ref by datatype_distinctness_limit configuration option;
wenzelm
parents: 22994
diff changeset
   564
  simproc_setup #>
24626
85eceef2edc7 introduced generic concepts for theory interpretators
haftmann
parents: 24624
diff changeset
   565
  trfun_setup #>
24711
e8bba7723858 simplified interpretation setup;
wenzelm
parents: 24699
diff changeset
   566
  DatatypeInterpretation.init;
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   567
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   568
(* outer syntax *)
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   569
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   570
local
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   571
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   572
structure P = OuterParse and K = OuterKeyword
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   573
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   574
fun prep_datatype_decls args =
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   575
  let
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   576
    val names = map
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30280
diff changeset
   577
      (fn ((((NONE, _), t), _), _) => Binding.name_of t | ((((SOME t, _), _), _), _) => t) args;
12876
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12708
diff changeset
   578
    val specs = map (fn ((((_, vs), t), mx), cons) =>
a70df1e5bf10 got rid of explicit marginal comments (now stripped earlier from input);
wenzelm
parents: 12708
diff changeset
   579
      (vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args;
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   580
  in (names, specs) end;
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   581
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   582
val parse_datatype_decl =
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   583
  (Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.binding -- P.opt_infix --
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   584
    (P.$$$ "=" |-- P.enum1 "|" (P.binding -- Scan.repeat P.typ -- P.opt_mixfix)));
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   585
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   586
val parse_datatype_decls = P.and_list1 parse_datatype_decl >> prep_datatype_decls;
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   587
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   588
in
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   589
24867
e5b55d7be9bb simplified interfaces for outer syntax;
wenzelm
parents: 24830
diff changeset
   590
val _ =
6723
f342449d73ca outer syntax keyword classification;
wenzelm
parents: 6556
diff changeset
   591
  OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl
31735
a00292a5587d tuned interface
haftmann
parents: 31723
diff changeset
   592
    (parse_datatype_decls >> (fn (names, specs) => Toplevel.theory (datatype_cmd names specs)));
6360
83573ae0f22c outer syntax for 'datatype';
wenzelm
parents: 6305
diff changeset
   593
24867
e5b55d7be9bb simplified interfaces for outer syntax;
wenzelm
parents: 24830
diff changeset
   594
val _ =
27104
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   595
  OuterSyntax.command "rep_datatype" "represent existing types inductively" K.thy_goal
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   596
    (Scan.option (P.$$$ "(" |-- Scan.repeat1 P.name --| P.$$$ ")") -- Scan.repeat1 P.term
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   597
      >> (fn (alt_names, ts) => Toplevel.print
791607529f6d rep_datatype command now takes list of constructors as input arguments
haftmann
parents: 27097
diff changeset
   598
           o Toplevel.theory_to_proof (rep_datatype_cmd alt_names ts)));
6385
5a6570458d9e rep_datatype: '_i' version, attributes, outer syntax;
wenzelm
parents: 6360
diff changeset
   599
30391
d930432adb13 adapted to simplified ThyOutput.antiquotation interface;
wenzelm
parents: 30364
diff changeset
   600
end;
d930432adb13 adapted to simplified ThyOutput.antiquotation interface;
wenzelm
parents: 30364
diff changeset
   601
6385
5a6570458d9e rep_datatype: '_i' version, attributes, outer syntax;
wenzelm
parents: 6360
diff changeset
   602
end;
5a6570458d9e rep_datatype: '_i' version, attributes, outer syntax;
wenzelm
parents: 6360
diff changeset
   603