src/HOL/Tools/datatype_package.ML
author haftmann
Tue Oct 31 14:58:16 2006 +0100 (2006-10-31)
changeset 21127 c8e862897d13
parent 21045 66d6d1b0ddfa
child 21187 16fb5afbf228
permissions -rw-r--r--
cleaned up
     1 (*  Title:      HOL/Tools/datatype_package.ML
     2     ID:         $Id$
     3     Author:     Stefan Berghofer, TU Muenchen
     4 
     5 Datatype package for Isabelle/HOL.
     6 *)
     7 
     8 signature BASIC_DATATYPE_PACKAGE =
     9 sig
    10   val induct_tac : string -> int -> tactic
    11   val induct_thm_tac : thm -> string -> int -> tactic
    12   val case_tac : string -> int -> tactic
    13   val distinct_simproc : simproc
    14 end;
    15 
    16 signature DATATYPE_PACKAGE =
    17 sig
    18   include BASIC_DATATYPE_PACKAGE
    19   val quiet_mode : bool ref
    20   val add_datatype : bool -> string list -> (string list * bstring * mixfix *
    21     (bstring * string list * mixfix) list) list -> theory ->
    22       {distinct : thm list list,
    23        inject : thm list list,
    24        exhaustion : thm list,
    25        rec_thms : thm list,
    26        case_thms : thm list list,
    27        split_thms : (thm * thm) list,
    28        induction : thm,
    29        size : thm list,
    30        simps : thm list} * theory
    31   val add_datatype_i : bool -> bool -> string list -> (string list * bstring * mixfix *
    32     (bstring * typ list * mixfix) list) list -> theory ->
    33       {distinct : thm list list,
    34        inject : thm list list,
    35        exhaustion : thm list,
    36        rec_thms : thm list,
    37        case_thms : thm list list,
    38        split_thms : (thm * thm) list,
    39        induction : thm,
    40        size : thm list,
    41        simps : thm list} * theory
    42   val rep_datatype_i : string list option -> (thm list * attribute list) list list ->
    43     (thm list * attribute list) list list -> (thm list * attribute list) ->
    44     theory ->
    45       {distinct : thm list list,
    46        inject : thm list list,
    47        exhaustion : thm list,
    48        rec_thms : thm list,
    49        case_thms : thm list list,
    50        split_thms : (thm * thm) list,
    51        induction : thm,
    52        size : thm list,
    53        simps : thm list} * theory
    54   val rep_datatype : string list option -> (thmref * Attrib.src list) list list ->
    55     (thmref * Attrib.src list) list list -> thmref * Attrib.src list -> theory ->
    56       {distinct : thm list list,
    57        inject : thm list list,
    58        exhaustion : thm list,
    59        rec_thms : thm list,
    60        case_thms : thm list list,
    61        split_thms : (thm * thm) list,
    62        induction : thm,
    63        size : thm list,
    64        simps : thm list} * theory
    65   val get_datatypes : theory -> DatatypeAux.datatype_info Symtab.table
    66   val get_datatype : theory -> string -> DatatypeAux.datatype_info option
    67   val the_datatype : theory -> string -> DatatypeAux.datatype_info
    68   val get_datatype_spec : theory -> string -> ((string * sort) list * (string * typ list) list) option
    69   val get_datatype_constrs : theory -> string -> (string * typ) list option
    70   val print_datatypes : theory -> unit
    71   val setup: theory -> theory
    72 end;
    73 
    74 structure DatatypePackage : DATATYPE_PACKAGE =
    75 struct
    76 
    77 open DatatypeAux;
    78 
    79 val quiet_mode = quiet_mode;
    80 
    81 
    82 (* data kind 'HOL/datatypes' *)
    83 
    84 structure DatatypesData = TheoryDataFun
    85 (struct
    86   val name = "HOL/datatypes";
    87   type T = datatype_info Symtab.table;
    88 
    89   val empty = Symtab.empty;
    90   val copy = I;
    91   val extend = I;
    92   fun merge _ tabs : T = Symtab.merge (K true) tabs;
    93 
    94   fun print sg tab =
    95     Pretty.writeln (Pretty.strs ("datatypes:" ::
    96       map #1 (NameSpace.extern_table (Sign.type_space sg, tab))));
    97 end);
    98 
    99 val get_datatypes = DatatypesData.get;
   100 val put_datatypes = DatatypesData.put;
   101 val print_datatypes = DatatypesData.print;
   102 
   103 
   104 (** theory information about datatypes **)
   105 
   106 val get_datatype = Symtab.lookup o get_datatypes;
   107 
   108 fun the_datatype thy name = (case get_datatype thy name of
   109       SOME info => info
   110     | NONE => error ("Unknown datatype " ^ quote name));
   111 
   112 fun get_datatype_descr thy dtco =
   113   get_datatype thy dtco
   114   |> Option.map (fn info as { descr, index, ... } => 
   115        (info, (((fn SOME (_, dtys, cos) => (dtys, cos)) o AList.lookup (op =) descr) index)));
   116 
   117 fun get_datatype_spec thy dtco =
   118   let
   119     fun mk_cons typ_of_dtyp (co, tys) =
   120       (co, map typ_of_dtyp tys);
   121     fun mk_dtyp ({ sorts = raw_sorts, descr, ... } : DatatypeAux.datatype_info, (dtys, cos)) =
   122       let
   123         val sorts = map ((fn v => (v, (the o AList.lookup (op =) raw_sorts) v))
   124           o DatatypeAux.dest_DtTFree) dtys;
   125         val typ_of_dtyp = DatatypeAux.typ_of_dtyp descr sorts;
   126         val tys = map typ_of_dtyp dtys;
   127       in (sorts, map (mk_cons typ_of_dtyp) cos) end;
   128   in Option.map mk_dtyp (get_datatype_descr thy dtco) end;
   129 
   130 fun get_datatype_constrs thy dtco =
   131   case get_datatype_spec thy dtco
   132    of SOME (sorts, cos) =>
   133         let
   134           fun subst (v, sort) = TVar ((v, 0), sort);
   135           fun subst_ty (TFree v) = subst v
   136             | subst_ty ty = ty;
   137           val dty = Type (dtco, map subst sorts);
   138           fun mk_co (co, tys) = (co, map (Term.map_atyps subst_ty) tys ---> dty);
   139         in SOME (map mk_co cos) end
   140     | NONE => NONE;
   141 
   142 fun find_tname var Bi =
   143   let val frees = map dest_Free (term_frees Bi)
   144       val params = rename_wrt_term Bi (Logic.strip_params Bi);
   145   in case AList.lookup (op =) (frees @ params) var of
   146        NONE => error ("No such variable in subgoal: " ^ quote var)
   147      | SOME(Type (tn, _)) => tn
   148      | _ => error ("Cannot determine type of " ^ quote var)
   149   end;
   150 
   151 fun infer_tname state i aterm =
   152   let
   153     val sign = Thm.sign_of_thm state;
   154     val (_, _, Bi, _) = Thm.dest_state (state, i)
   155     val params = Logic.strip_params Bi;   (*params of subgoal i*)
   156     val params = rev (rename_wrt_term Bi params);   (*as they are printed*)
   157     val (types, sorts) = types_sorts state;
   158     fun types' (a, ~1) = (case AList.lookup (op =) params a of NONE => types(a, ~1) | sm => sm)
   159       | types' ixn = types ixn;
   160     val (ct, _) = read_def_cterm (sign, types', sorts) [] false (aterm, TypeInfer.logicT);
   161   in case #T (rep_cterm ct) of
   162        Type (tn, _) => tn
   163      | _ => error ("Cannot determine type of " ^ quote aterm)
   164   end;
   165 
   166 (*Warn if the (induction) variable occurs Free among the premises, which
   167   usually signals a mistake.  But calls the tactic either way!*)
   168 fun occs_in_prems tacf vars =
   169   SUBGOAL (fn (Bi, i) =>
   170            (if exists (fn (a, _) => member (op =) vars a)
   171                       (fold Term.add_frees (#2 (strip_context Bi)) [])
   172              then warning "Induction variable occurs also among premises!"
   173              else ();
   174             tacf i));
   175 
   176 
   177 (* generic induction tactic for datatypes *)
   178 
   179 local
   180 
   181 fun prep_var (Var (ixn, _), SOME x) = SOME (ixn, x)
   182   | prep_var _ = NONE;
   183 
   184 fun prep_inst (concl, xs) = (*exception Library.UnequalLengths*)
   185   let val vs = InductAttrib.vars_of concl
   186   in map_filter prep_var (Library.drop (length vs - length xs, vs) ~~ xs) end;
   187 
   188 in
   189 
   190 fun gen_induct_tac inst_tac (varss, opt_rule) i state = 
   191   SUBGOAL (fn (Bi,_) =>
   192   let
   193     val (rule, rule_name) =
   194       case opt_rule of
   195           SOME r => (r, "Induction rule")
   196         | NONE =>
   197             let val tn = find_tname (hd (map_filter I (flat varss))) Bi
   198                 val {sign, ...} = Thm.rep_thm state
   199             in (#induction (the_datatype sign tn), "Induction rule for type " ^ tn) 
   200             end
   201     val concls = HOLogic.dest_concls (Thm.concl_of rule);
   202     val insts = maps prep_inst (concls ~~ varss) handle Library.UnequalLengths =>
   203       error (rule_name ^ " has different numbers of variables");
   204   in occs_in_prems (inst_tac insts rule) (map #2 insts) i end)
   205   i state;
   206 
   207 fun induct_tac s =
   208   gen_induct_tac Tactic.res_inst_tac'
   209     (map (single o SOME) (Syntax.read_idents s), NONE);
   210 
   211 fun induct_thm_tac th s =
   212   gen_induct_tac Tactic.res_inst_tac'
   213     ([map SOME (Syntax.read_idents s)], SOME th);
   214 
   215 end;
   216 
   217 
   218 (* generic case tactic for datatypes *)
   219 
   220 fun case_inst_tac inst_tac t rule i state =
   221   let
   222     val _ $ Var (ixn, _) $ _ = HOLogic.dest_Trueprop
   223       (hd (Logic.strip_assums_hyp (hd (Thm.prems_of rule))));
   224   in inst_tac [(ixn, t)] rule i state end;
   225 
   226 fun gen_case_tac inst_tac (t, SOME rule) i state =
   227       case_inst_tac inst_tac t rule i state
   228   | gen_case_tac inst_tac (t, NONE) i state =
   229       let val tn = infer_tname state i t in
   230         if tn = HOLogic.boolN then inst_tac [(("P", 0), t)] case_split_thm i state
   231         else case_inst_tac inst_tac t
   232                (#exhaustion (the_datatype (Thm.sign_of_thm state) tn))
   233                i state
   234       end handle THM _ => Seq.empty;
   235 
   236 fun case_tac t = gen_case_tac Tactic.res_inst_tac' (t, NONE);
   237 
   238 
   239 
   240 (** Isar tactic emulations **)
   241 
   242 local
   243 
   244 val rule_spec = Scan.lift (Args.$$$ "rule" -- Args.$$$ ":");
   245 val opt_rule = Scan.option (rule_spec |-- Attrib.thm);
   246 
   247 val varss =
   248   Args.and_list (Scan.repeat (Scan.unless rule_spec (Scan.lift (Args.maybe Args.name))));
   249 
   250 val inst_tac = RuleInsts.bires_inst_tac false;
   251 
   252 fun induct_meth ctxt (varss, opt_rule) =
   253   gen_induct_tac (inst_tac ctxt) (varss, opt_rule);
   254 fun case_meth ctxt (varss, opt_rule) =
   255   gen_case_tac (inst_tac ctxt) (varss, opt_rule);
   256 
   257 in
   258 
   259 val tactic_emulations =
   260  [("induct_tac", Method.goal_args_ctxt' (varss -- opt_rule) induct_meth,
   261     "induct_tac emulation (dynamic instantiation)"),
   262   ("case_tac", Method.goal_args_ctxt' (Scan.lift Args.name -- opt_rule) case_meth,
   263     "case_tac emulation (dynamic instantiation)")];
   264 
   265 end;
   266 
   267 
   268 
   269 (** induct method setup **)
   270 
   271 (* case names *)
   272 
   273 local
   274 
   275 fun dt_recs (DtTFree _) = []
   276   | dt_recs (DtType (_, dts)) = maps dt_recs dts
   277   | dt_recs (DtRec i) = [i];
   278 
   279 fun dt_cases (descr: descr) (_, args, constrs) =
   280   let
   281     fun the_bname i = Sign.base_name (#1 (the (AList.lookup (op =) descr i)));
   282     val bnames = map the_bname (distinct (op =) (maps dt_recs args));
   283   in map (fn (c, _) => space_implode "_" (Sign.base_name c :: bnames)) constrs end;
   284 
   285 
   286 fun induct_cases descr =
   287   DatatypeProp.indexify_names (maps (dt_cases descr) (map #2 descr));
   288 
   289 fun exhaust_cases descr i = dt_cases descr (the (AList.lookup (op =) descr i));
   290 
   291 in
   292 
   293 fun mk_case_names_induct descr = RuleCases.case_names (induct_cases descr);
   294 
   295 fun mk_case_names_exhausts descr new =
   296   map (RuleCases.case_names o exhaust_cases descr o #1)
   297     (filter (fn ((_, (name, _, _))) => member (op =) new name) descr);
   298 
   299 end;
   300 
   301 (*Name management for ATP linkup. The suffix here must agree with the one given
   302   for notE in Clasimp.addIff*)
   303 fun name_notE th =
   304     Thm.name_thm (Thm.name_of_thm th ^ "_iff1", th RS notE);
   305       
   306 fun add_rules simps case_thms size_thms rec_thms inject distinct
   307                   weak_case_congs cong_att =
   308   PureThy.add_thmss [(("simps", simps), []),
   309     (("", flat case_thms @ size_thms @ 
   310           flat distinct @ rec_thms), [Simplifier.simp_add]),
   311     (("", size_thms @ rec_thms), [RecfunCodegen.add NONE]),
   312     (("", flat inject), [iff_add]),
   313     (("", map name_notE (flat distinct)), [Classical.safe_elim NONE]),
   314     (("", weak_case_congs), [cong_att])]
   315   #> snd;
   316 
   317 
   318 (* add_cases_induct *)
   319 
   320 fun add_cases_induct infos induction thy =
   321   let
   322     val inducts = ProjectRule.projections (ProofContext.init thy) induction;
   323 
   324     fun named_rules (name, {index, exhaustion, ...}: datatype_info) =
   325       [(("", nth inducts index), [InductAttrib.induct_type name]),
   326        (("", exhaustion), [InductAttrib.cases_type name])];
   327     fun unnamed_rule i =
   328       (("", nth inducts i), [PureThy.kind_internal, InductAttrib.induct_type ""]);
   329   in
   330     thy |> PureThy.add_thms
   331       (maps named_rules infos @
   332         map unnamed_rule (length infos upto length inducts - 1)) |> snd
   333     |> PureThy.add_thmss [(("inducts", inducts), [])] |> snd
   334   end;
   335 
   336 
   337 
   338 (**** simplification procedure for showing distinctness of constructors ****)
   339 
   340 fun stripT (i, Type ("fun", [_, T])) = stripT (i + 1, T)
   341   | stripT p = p;
   342 
   343 fun stripC (i, f $ x) = stripC (i + 1, f)
   344   | stripC p = p;
   345 
   346 val distinctN = "constr_distinct";
   347 
   348 exception ConstrDistinct of term;
   349 
   350 fun distinct_proc thy ss (t as Const ("op =", _) $ t1 $ t2) =
   351   (case (stripC (0, t1), stripC (0, t2)) of
   352      ((i, Const (cname1, T1)), (j, Const (cname2, T2))) =>
   353          (case (stripT (0, T1), stripT (0, T2)) of
   354             ((i', Type (tname1, _)), (j', Type (tname2, _))) =>
   355                 if tname1 = tname2 andalso not (cname1 = cname2) andalso i = i' andalso j = j' then
   356                    (case (get_datatype_descr thy) tname1 of
   357                       SOME (_, (_, constrs)) => let val cnames = map fst constrs
   358                         in if cname1 mem cnames andalso cname2 mem cnames then
   359                              let val eq_t = Logic.mk_equals (t, Const ("False", HOLogic.boolT));
   360                                  val eq_ct = cterm_of thy eq_t;
   361                                  val Datatype_thy = ThyInfo.the_theory "Datatype" thy;
   362                                  val [In0_inject, In1_inject, In0_not_In1, In1_not_In0] =
   363                                    map (get_thm Datatype_thy o Name)
   364                                      ["In0_inject", "In1_inject", "In0_not_In1", "In1_not_In0"]
   365                              in (case (#distinct (the_datatype thy tname1)) of
   366                                  QuickAndDirty => SOME (Thm.invoke_oracle
   367                                    Datatype_thy distinctN (thy, ConstrDistinct eq_t))
   368                                | FewConstrs thms =>
   369                                    SOME (Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
   370                                      (EVERY [rtac eq_reflection 1, rtac iffI 1, rtac notE 1,
   371                                        atac 2, resolve_tac thms 1, etac FalseE 1])))
   372                                | ManyConstrs (thm, simpset) =>
   373                                    SOME (Goal.prove (Simplifier.the_context ss) [] [] eq_t (K
   374                                      (EVERY [rtac eq_reflection 1, rtac iffI 1, dtac thm 1,
   375                                       full_simp_tac (Simplifier.inherit_context ss simpset) 1,
   376                                       REPEAT (dresolve_tac [In0_inject, In1_inject] 1),
   377                                       eresolve_tac [In0_not_In1 RS notE, In1_not_In0 RS notE] 1,
   378                                       etac FalseE 1]))))
   379                              end
   380                            else NONE
   381                         end
   382                     | NONE => NONE)
   383                 else NONE
   384           | _ => NONE)
   385    | _ => NONE)
   386   | distinct_proc _ _ _ = NONE;
   387 
   388 val distinct_simproc =
   389   Simplifier.simproc HOL.thy distinctN ["s = t"] distinct_proc;
   390 
   391 val dist_ss = HOL_ss addsimprocs [distinct_simproc];
   392 
   393 val simproc_setup =
   394   Theory.add_oracle (distinctN, fn (_, ConstrDistinct t) => t) #>
   395   (fn thy => ((change_simpset_of thy) (fn ss => ss addsimprocs [distinct_simproc]); thy));
   396 
   397 
   398 (**** translation rules for case ****)
   399 
   400 fun case_tr context [t, u] =
   401     let
   402       val thy = Context.theory_of context;
   403       fun case_error s name ts = raise TERM ("Error in case expression" ^
   404         getOpt (Option.map (curry op ^ " for datatype ") name, "") ^ ":\n" ^ s, ts);
   405       fun dest_case1 (Const ("_case1", _) $ t $ u) = (case strip_comb t of
   406             (Const (s, _), ts) => (((perhaps o try o unprefix) Syntax.constN o Sign.intern_const thy) s, ts)
   407           | (Free (s, _), ts) => (Sign.intern_const thy s, ts) (*FIXME?*)
   408           | _ => case_error "Head is not a constructor" NONE [t, u], u)
   409         | dest_case1 t = raise TERM ("dest_case1", [t]);
   410       fun dest_case2 (Const ("_case2", _) $ t $ u) = t :: dest_case2 u
   411         | dest_case2 t = [t];
   412       val cases as ((cname, _), _) :: _ = map dest_case1 (dest_case2 u);
   413       val tab = Symtab.dest (get_datatypes thy);
   414       val (cases', default) = (case split_last cases of
   415           (cases', (("dummy_pattern", []), t)) => (cases', SOME t)
   416         | _ => (cases, NONE))
   417       fun abstr (Free (x, T)) body = Term.absfree (x, T, body)
   418         | abstr (Const ("_constrain", _) $ Free (x, T) $ tT) body =
   419             Syntax.const Syntax.constrainAbsC $ Term.absfree (x, T, body) $ tT
   420         | abstr (Const ("Pair", _) $ x $ y) body =
   421             Syntax.const "split" $ (abstr x o abstr y) body
   422         | abstr t _ = case_error "Illegal pattern" NONE [t];
   423     in case find_first (fn (_, {descr, index, ...}) =>
   424       exists (equal cname o fst) (#3 (snd (nth descr index)))) tab of
   425         NONE => case_error ("Not a datatype constructor: " ^ cname) NONE [u]
   426       | SOME (tname, {descr, sorts, case_name, index, ...}) =>
   427         let
   428           val _ = if exists (equal "dummy_pattern" o fst o fst) cases' then
   429             case_error "Illegal occurrence of '_' dummy pattern" (SOME tname) [u] else ();
   430           val (_, (_, dts, constrs)) = nth descr index;
   431           fun find_case (s, dt) cases =
   432             (case find_first (equal s o fst o fst) cases' of
   433                NONE => (list_abs (map (rpair dummyT)
   434                  (DatatypeProp.make_tnames (map (typ_of_dtyp descr sorts) dt)),
   435                  case default of
   436                    NONE => (warning ("No clause for constructor " ^ s ^
   437                      " in case expression"); Const ("undefined", dummyT))
   438                  | SOME t => t), cases)
   439              | SOME (c as ((_, vs), t)) =>
   440                  if length dt <> length vs then
   441                     case_error ("Wrong number of arguments for constructor " ^ s)
   442                       (SOME tname) vs
   443                  else (fold_rev abstr vs t, remove (op =) c cases))
   444           val (fs, cases'') = fold_map find_case constrs cases'
   445         in case (cases'', length constrs = length cases', default) of
   446             ([], true, SOME _) =>
   447               case_error "Extra '_' dummy pattern" (SOME tname) [u]
   448           | (_ :: _, _, _) =>
   449               let val extra = distinct (op =) (map (fst o fst) cases'')
   450               in case extra \\ map fst constrs of
   451                   [] => case_error ("More than one clause for constructor(s) " ^
   452                     commas extra) (SOME tname) [u]
   453                 | extra' => case_error ("Illegal constructor(s): " ^ commas extra')
   454                     (SOME tname) [u]
   455               end
   456           | _ => list_comb (Syntax.const case_name, fs) $ t
   457         end
   458     end
   459   | case_tr _ ts = raise TERM ("case_tr", ts);
   460 
   461 fun case_tr' constrs context ts =
   462   if length ts <> length constrs + 1 then raise Match else
   463   let
   464     val (fs, x) = split_last ts;
   465     fun strip_abs 0 t = ([], t)
   466       | strip_abs i (Abs p) =
   467         let val (x, u) = Syntax.atomic_abs_tr' p
   468         in apfst (cons x) (strip_abs (i-1) u) end
   469       | strip_abs i (Const ("split", _) $ t) = (case strip_abs (i+1) t of
   470           (v :: v' :: vs, u) => (Syntax.const "Pair" $ v $ v' :: vs, u));
   471     fun is_dependent i t =
   472       let val k = length (strip_abs_vars t) - i
   473       in k < 0 orelse exists (fn j => j >= k)
   474         (loose_bnos (strip_abs_body t))
   475       end;
   476     val cases = map (fn ((cname, dts), t) =>
   477       (Sign.extern_const (Context.theory_of context) cname,
   478        strip_abs (length dts) t, is_dependent (length dts) t))
   479       (constrs ~~ fs);
   480     fun count_cases (_, _, true) = I
   481       | count_cases (cname, (_, body), false) =
   482           AList.map_default (op = : term * term -> bool)
   483             (body, []) (cons cname)
   484     val cases' = sort (int_ord o swap o pairself (length o snd))
   485       (fold_rev count_cases cases []);
   486     fun mk_case1 (cname, (vs, body), _) = Syntax.const "_case1" $
   487       list_comb (Syntax.const cname, vs) $ body;
   488     fun is_undefined (Const ("undefined", _)) = true
   489       | is_undefined _ = false;
   490   in
   491     Syntax.const "_case_syntax" $ x $
   492       foldr1 (fn (t, u) => Syntax.const "_case2" $ t $ u) (map mk_case1
   493         (case find_first (is_undefined o fst) cases' of
   494            SOME (_, cnames) =>
   495            if length cnames = length constrs then [hd cases]
   496            else filter_out (fn (_, (_, body), _) => is_undefined body) cases
   497          | NONE => case cases' of
   498            [] => cases
   499          | (default, cnames) :: _ =>
   500            if length cnames = 1 then cases
   501            else if length cnames = length constrs then
   502              [hd cases, ("dummy_pattern", ([], default), false)]
   503            else
   504              filter_out (fn (cname, _, _) => member (op =) cnames cname) cases @
   505              [("dummy_pattern", ([], default), false)]))
   506   end;
   507 
   508 fun make_case_tr' case_names descr = maps
   509   (fn ((_, (_, _, constrs)), case_name) =>
   510     map (rpair (case_tr' constrs)) (NameSpace.accesses' case_name))
   511       (descr ~~ case_names);
   512 
   513 val trfun_setup =
   514   Theory.add_advanced_trfuns ([], [("_case_syntax", case_tr)], [], []);
   515 
   516 
   517 (* prepare types *)
   518 
   519 fun read_typ sign ((Ts, sorts), str) =
   520   let
   521     val T = Type.no_tvars (Sign.read_typ (sign, AList.lookup (op =)
   522       (map (apfst (rpair ~1)) sorts)) str) handle TYPE (msg, _, _) => error msg
   523   in (Ts @ [T], add_typ_tfrees (T, sorts)) end;
   524 
   525 fun cert_typ sign ((Ts, sorts), raw_T) =
   526   let
   527     val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle
   528       TYPE (msg, _, _) => error msg;
   529     val sorts' = add_typ_tfrees (T, sorts)
   530   in (Ts @ [T],
   531       case duplicates (op =) (map fst sorts') of
   532          [] => sorts'
   533        | dups => error ("Inconsistent sort constraints for " ^ commas dups))
   534   end;
   535 
   536 
   537 (**** make datatype info ****)
   538 
   539 fun make_dt_info descr sorts induct reccomb_names rec_thms
   540     (((((((((i, (_, (tname, _, _))), case_name), case_thms),
   541       exhaustion_thm), distinct_thm), inject), nchotomy), case_cong), weak_case_cong) =
   542   (tname,
   543    {index = i,
   544     descr = descr,
   545     sorts = sorts,
   546     rec_names = reccomb_names,
   547     rec_rewrites = rec_thms,
   548     case_name = case_name,
   549     case_rewrites = case_thms,
   550     induction = induct,
   551     exhaustion = exhaustion_thm,
   552     distinct = distinct_thm,
   553     inject = inject,
   554     nchotomy = nchotomy,
   555     case_cong = case_cong,
   556     weak_case_cong = weak_case_cong});
   557 
   558 
   559 (********************* axiomatic introduction of datatypes ********************)
   560 
   561 fun add_axiom label t atts thy =
   562   thy
   563   |> PureThy.add_axioms_i [((label, t), atts)];
   564 
   565 fun add_axioms label ts atts thy =
   566   thy
   567   |> PureThy.add_axiomss_i [((label, ts), atts)];
   568 
   569 fun add_and_get_axioms_atts label tnames ts attss =
   570   fold_map (fn (tname, (atts, t)) => fn thy =>
   571     thy
   572     |> Theory.add_path tname
   573     |> add_axiom label t atts
   574     ||> Theory.parent_path
   575     |-> (fn [ax] => pair ax)) (tnames ~~ (attss ~~ ts));
   576 
   577 fun add_and_get_axioms label tnames ts =
   578   add_and_get_axioms_atts label tnames ts (replicate (length tnames) []);
   579 
   580 fun add_and_get_axiomss label tnames tss =
   581   fold_map (fn (tname, ts) => fn thy =>
   582     thy
   583     |> Theory.add_path tname
   584     |> add_axioms label ts []
   585     ||> Theory.parent_path
   586     |-> (fn [ax] => pair ax)) (tnames ~~ tss);
   587 
   588 fun specify_consts args thy =
   589   let
   590     val specs = map (fn (c, T, mx) =>
   591       Const (Sign.full_name thy (Syntax.const_name c mx), T)) args;
   592   in
   593     thy
   594     |> Sign.add_consts_i args
   595     |> Theory.add_finals_i false specs
   596   end;
   597 
   598 fun add_datatype_axm flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
   599     case_names_induct case_names_exhausts thy =
   600   let
   601     val descr' = flat descr;
   602     val recTs = get_rec_types descr' sorts;
   603     val used = map fst (fold Term.add_tfreesT recTs []);
   604     val newTs = Library.take (length (hd descr), recTs);
   605 
   606     val no_size = exists (fn (_, (_, _, constrs)) => exists (fn (_, cargs) => exists
   607       (fn dt => is_rec_type dt andalso not (null (fst (strip_dtyp dt))))
   608         cargs) constrs) descr';
   609 
   610     (**** declare new types and constants ****)
   611 
   612     val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr);
   613 
   614     val constr_decls = map (fn (((_, (_, _, constrs)), T), constr_syntax') =>
   615       map (fn ((_, cargs), (cname, mx)) =>
   616         (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
   617           (constrs ~~ constr_syntax')) ((hd descr) ~~ newTs ~~ constr_syntax);
   618 
   619     val (rec_result_Ts, reccomb_fn_Ts) = DatatypeProp.make_primrec_Ts descr sorts used;
   620 
   621     val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec";
   622     val reccomb_names = if length descr' = 1 then [big_reccomb_name] else
   623       (map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int)
   624         (1 upto (length descr')));
   625 
   626     val size_names = DatatypeProp.indexify_names
   627       (map (fn T => name_of_typ T ^ "_size") (Library.drop (length (hd descr), recTs)));
   628 
   629     val freeT = TFree (Name.variant used "'t", HOLogic.typeS);
   630     val case_fn_Ts = map (fn (i, (_, _, constrs)) =>
   631       map (fn (_, cargs) =>
   632         let val Ts = map (typ_of_dtyp descr' sorts) cargs
   633         in Ts ---> freeT end) constrs) (hd descr);
   634 
   635     val case_names = map (fn s => (s ^ "_case")) new_type_names;
   636 
   637     val thy2' = thy
   638 
   639       (** new types **)
   640       |> fold (fn ((name, mx), tvs) => TypedefPackage.add_typedecls [(name, tvs, mx)])
   641            (types_syntax ~~ tyvars)
   642       |> add_path flat_names (space_implode "_" new_type_names)
   643 
   644       (** primrec combinators **)
   645 
   646       |> specify_consts (map (fn ((name, T), T') =>
   647            (name, reccomb_fn_Ts @ [T] ---> T', NoSyn)) (reccomb_names ~~ recTs ~~ rec_result_Ts))
   648 
   649       (** case combinators **)
   650 
   651       |> specify_consts (map (fn ((name, T), Ts) =>
   652            (name, Ts @ [T] ---> freeT, NoSyn)) (case_names ~~ newTs ~~ case_fn_Ts));
   653 
   654     val reccomb_names' = map (Sign.full_name thy2') reccomb_names;
   655     val case_names' = map (Sign.full_name thy2') case_names;
   656 
   657     val thy2 = thy2'
   658 
   659       (** size functions **)
   660 
   661       |> (if no_size then I else specify_consts (map (fn (s, T) =>
   662         (Sign.base_name s, T --> HOLogic.natT, NoSyn))
   663           (size_names ~~ Library.drop (length (hd descr), recTs))))
   664 
   665       (** constructors **)
   666 
   667       |> parent_path flat_names
   668       |> fold (fn ((((_, (_, _, constrs)), T), tname),
   669         constr_syntax') =>
   670           add_path flat_names tname #>
   671             specify_consts (map (fn ((_, cargs), (cname, mx)) =>
   672               (cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx))
   673                 (constrs ~~ constr_syntax')) #>
   674           parent_path flat_names)
   675             (hd descr ~~ newTs ~~ new_type_names ~~ constr_syntax);
   676 
   677     (**** introduction of axioms ****)
   678 
   679     val rec_axs = DatatypeProp.make_primrecs new_type_names descr sorts thy2;
   680     val size_axs = if no_size then [] else DatatypeProp.make_size descr sorts thy2;
   681 
   682     val ((([induct], [rec_thms]), inject), thy3) =
   683       thy2
   684       |> Theory.add_path (space_implode "_" new_type_names)
   685       |> add_axiom "induct" (DatatypeProp.make_ind descr sorts) [case_names_induct]
   686       ||>> add_axioms "recs" rec_axs []
   687       ||> (if no_size then I else add_axioms "size" size_axs [] #> snd)
   688       ||> Theory.parent_path
   689       ||>> add_and_get_axiomss "inject" new_type_names
   690             (DatatypeProp.make_injs descr sorts);
   691     val size_thms = if no_size then [] else get_thms thy3 (Name "size");
   692     val (distinct, thy4) = add_and_get_axiomss "distinct" new_type_names
   693       (DatatypeProp.make_distincts new_type_names descr sorts thy3) thy3;
   694 
   695     val exhaust_ts = DatatypeProp.make_casedists descr sorts;
   696     val (exhaustion, thy5) = add_and_get_axioms_atts "exhaust" new_type_names
   697       exhaust_ts (map single case_names_exhausts) thy4;
   698     val (case_thms, thy6) = add_and_get_axiomss "cases" new_type_names
   699       (DatatypeProp.make_cases new_type_names descr sorts thy5) thy5;
   700     val (split_ts, split_asm_ts) = ListPair.unzip
   701       (DatatypeProp.make_splits new_type_names descr sorts thy6);
   702     val (split, thy7) = add_and_get_axioms "split" new_type_names split_ts thy6;
   703     val (split_asm, thy8) = add_and_get_axioms "split_asm" new_type_names
   704       split_asm_ts thy7;
   705     val (nchotomys, thy9) = add_and_get_axioms "nchotomy" new_type_names
   706       (DatatypeProp.make_nchotomys descr sorts) thy8;
   707     val (case_congs, thy10) = add_and_get_axioms "case_cong" new_type_names
   708       (DatatypeProp.make_case_congs new_type_names descr sorts thy9) thy9;
   709     val (weak_case_congs, thy11) = add_and_get_axioms "weak_case_cong" new_type_names
   710       (DatatypeProp.make_weak_case_congs new_type_names descr sorts thy10) thy10;
   711 
   712     val dt_infos = map (make_dt_info descr' sorts induct reccomb_names' rec_thms)
   713       ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names' ~~ case_thms ~~
   714         exhaustion ~~ replicate (length (hd descr)) QuickAndDirty ~~ inject ~~
   715           nchotomys ~~ case_congs ~~ weak_case_congs);
   716 
   717     val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
   718     val split_thms = split ~~ split_asm;
   719 
   720     val thy12 =
   721       thy11
   722       |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names' (hd descr), [])
   723       |> Theory.add_path (space_implode "_" new_type_names)
   724       |> add_rules simps case_thms size_thms rec_thms inject distinct
   725           weak_case_congs Simplifier.cong_add
   726       |> put_datatypes (fold Symtab.update dt_infos dt_info)
   727       |> add_cases_induct dt_infos induct
   728       |> Theory.parent_path
   729       |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms)
   730       |> snd
   731       |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
   732       |> DatatypeHooks.invoke (map fst dt_infos);
   733   in
   734     ({distinct = distinct,
   735       inject = inject,
   736       exhaustion = exhaustion,
   737       rec_thms = rec_thms,
   738       case_thms = case_thms,
   739       split_thms = split_thms,
   740       induction = induct,
   741       size = size_thms,
   742       simps = simps}, thy12)
   743   end;
   744 
   745 
   746 (******************* definitional introduction of datatypes *******************)
   747 
   748 fun add_datatype_def flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
   749     case_names_induct case_names_exhausts thy =
   750   let
   751     val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
   752 
   753     val ((inject, distinct, dist_rewrites, simproc_dists, induct), thy2) = thy |>
   754       DatatypeRepProofs.representation_proofs flat_names dt_info new_type_names descr sorts
   755         types_syntax constr_syntax case_names_induct;
   756 
   757     val (casedist_thms, thy3) = DatatypeAbsProofs.prove_casedist_thms new_type_names descr
   758       sorts induct case_names_exhausts thy2;
   759     val ((reccomb_names, rec_thms), thy4) = DatatypeAbsProofs.prove_primrec_thms
   760       flat_names new_type_names descr sorts dt_info inject dist_rewrites
   761       (Simplifier.theory_context thy3 dist_ss) induct thy3;
   762     val ((case_thms, case_names), thy6) = DatatypeAbsProofs.prove_case_thms
   763       flat_names new_type_names descr sorts reccomb_names rec_thms thy4;
   764     val (split_thms, thy7) = DatatypeAbsProofs.prove_split_thms new_type_names
   765       descr sorts inject dist_rewrites casedist_thms case_thms thy6;
   766     val (nchotomys, thy8) = DatatypeAbsProofs.prove_nchotomys new_type_names
   767       descr sorts casedist_thms thy7;
   768     val (case_congs, thy9) = DatatypeAbsProofs.prove_case_congs new_type_names
   769       descr sorts nchotomys case_thms thy8;
   770     val (weak_case_congs, thy10) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
   771       descr sorts thy9;
   772     val (size_thms, thy11) = DatatypeAbsProofs.prove_size_thms flat_names new_type_names
   773       descr sorts reccomb_names rec_thms thy10;
   774 
   775     val dt_infos = map (make_dt_info (flat descr) sorts induct reccomb_names rec_thms)
   776       ((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names ~~ case_thms ~~
   777         casedist_thms ~~ simproc_dists ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
   778 
   779     val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
   780 
   781     val thy12 =
   782       thy11
   783       |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names (hd descr), [])
   784       |> Theory.add_path (space_implode "_" new_type_names)
   785       |> add_rules simps case_thms size_thms rec_thms inject distinct
   786           weak_case_congs (Simplifier.attrib (op addcongs))
   787       |> put_datatypes (fold Symtab.update dt_infos dt_info)
   788       |> add_cases_induct dt_infos induct
   789       |> Theory.parent_path
   790       |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms) |> snd
   791       |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
   792       |> DatatypeHooks.invoke (map fst dt_infos);
   793   in
   794     ({distinct = distinct,
   795       inject = inject,
   796       exhaustion = casedist_thms,
   797       rec_thms = rec_thms,
   798       case_thms = case_thms,
   799       split_thms = split_thms,
   800       induction = induct,
   801       size = size_thms,
   802       simps = simps}, thy12)
   803   end;
   804 
   805 
   806 (*********************** declare existing type as datatype *********************)
   807 
   808 fun gen_rep_datatype apply_theorems alt_names raw_distinct raw_inject raw_induction thy0 =
   809   let
   810     val _ = Theory.requires thy0 "Inductive" "datatype representations";
   811 
   812     val (((distinct, inject), [induction]), thy1) =
   813       thy0
   814       |> fold_map apply_theorems raw_distinct
   815       ||>> fold_map apply_theorems raw_inject
   816       ||>> apply_theorems [raw_induction];
   817 
   818     val ((_, [induction']), _) = Variable.importT [induction] (Variable.thm_context induction);
   819 
   820     fun err t = error ("Ill-formed predicate in induction rule: " ^
   821       Sign.string_of_term thy1 t);
   822 
   823     fun get_typ (t as _ $ Var (_, Type (tname, Ts))) =
   824           ((tname, map dest_TFree Ts) handle TERM _ => err t)
   825       | get_typ t = err t;
   826 
   827     val dtnames = map get_typ (HOLogic.dest_conj (HOLogic.dest_Trueprop (Thm.concl_of induction')));
   828     val new_type_names = getOpt (alt_names, map fst dtnames);
   829 
   830     fun get_constr t = (case Logic.strip_assums_concl t of
   831         _ $ (_ $ t') => (case head_of t' of
   832             Const (cname, cT) => (case strip_type cT of
   833                 (Ts, Type (tname, _)) => (tname, (cname, map (dtyp_of_typ dtnames) Ts))
   834               | _ => err t)
   835           | _ => err t)
   836       | _ => err t);
   837 
   838     fun make_dt_spec [] _ _ = []
   839       | make_dt_spec ((tname, tvs)::dtnames') i constrs =
   840           let val (constrs', constrs'') = take_prefix (equal tname o fst) constrs
   841           in (i, (tname, map DtTFree tvs, map snd constrs'))::
   842             (make_dt_spec dtnames' (i + 1) constrs'')
   843           end;
   844 
   845     val descr = make_dt_spec dtnames 0 (map get_constr (prems_of induction'));
   846     val sorts = add_term_tfrees (concl_of induction', []);
   847     val dt_info = get_datatypes thy1;
   848 
   849     val (case_names_induct, case_names_exhausts) = case RuleCases.get induction
   850      of (("1", _) :: _, _) => (mk_case_names_induct descr, mk_case_names_exhausts descr (map #1 dtnames))
   851       | (cases, _) => (RuleCases.case_names (map fst cases),
   852           replicate (length ((filter (fn ((_, (name, _, _))) => member (op =)
   853             (map #1 dtnames) name) descr)))
   854             (RuleCases.case_names (map fst cases)));
   855     
   856 
   857     val _ = message ("Proofs for datatype(s) " ^ commas_quote new_type_names);
   858 
   859     val (casedist_thms, thy2) = thy1 |>
   860       DatatypeAbsProofs.prove_casedist_thms new_type_names [descr] sorts induction
   861         case_names_exhausts;
   862     val ((reccomb_names, rec_thms), thy3) = DatatypeAbsProofs.prove_primrec_thms
   863       false new_type_names [descr] sorts dt_info inject distinct
   864       (Simplifier.theory_context thy2 dist_ss) induction thy2;
   865     val ((case_thms, case_names), thy4) = DatatypeAbsProofs.prove_case_thms false
   866       new_type_names [descr] sorts reccomb_names rec_thms thy3;
   867     val (split_thms, thy5) = DatatypeAbsProofs.prove_split_thms
   868       new_type_names [descr] sorts inject distinct casedist_thms case_thms thy4;
   869     val (nchotomys, thy6) = DatatypeAbsProofs.prove_nchotomys new_type_names
   870       [descr] sorts casedist_thms thy5;
   871     val (case_congs, thy7) = DatatypeAbsProofs.prove_case_congs new_type_names
   872       [descr] sorts nchotomys case_thms thy6;
   873     val (weak_case_congs, thy8) = DatatypeAbsProofs.prove_weak_case_congs new_type_names
   874       [descr] sorts thy7;
   875     val (size_thms, thy9) =
   876       if Context.exists_name "NatArith" thy8 then
   877         DatatypeAbsProofs.prove_size_thms false new_type_names
   878           [descr] sorts reccomb_names rec_thms thy8
   879       else ([], thy8);
   880 
   881     val ((_, [induction']), thy10) =
   882       thy9
   883       |> store_thmss "inject" new_type_names inject
   884       ||>> store_thmss "distinct" new_type_names distinct
   885       ||> Theory.add_path (space_implode "_" new_type_names)
   886       ||>> PureThy.add_thms [(("induct", induction), [case_names_induct])];
   887 
   888     val dt_infos = map (make_dt_info descr sorts induction' reccomb_names rec_thms)
   889       ((0 upto length descr - 1) ~~ descr ~~ case_names ~~ case_thms ~~ casedist_thms ~~
   890         map FewConstrs distinct ~~ inject ~~ nchotomys ~~ case_congs ~~ weak_case_congs);
   891 
   892     val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms;
   893 
   894     val thy11 =
   895       thy10
   896       |> Theory.add_advanced_trfuns ([], [], make_case_tr' case_names descr, [])
   897       |> add_rules simps case_thms size_thms rec_thms inject distinct
   898            weak_case_congs (Simplifier.attrib (op addcongs))
   899       |> put_datatypes (fold Symtab.update dt_infos dt_info)
   900       |> add_cases_induct dt_infos induction'
   901       |> Theory.parent_path
   902       |> store_thmss "splits" new_type_names (map (fn (x, y) => [x, y]) split_thms)
   903       |> snd
   904       |> DatatypeRealizer.add_dt_realizers sorts (map snd dt_infos)
   905       |> DatatypeHooks.invoke (map fst dt_infos);
   906   in
   907     ({distinct = distinct,
   908       inject = inject,
   909       exhaustion = casedist_thms,
   910       rec_thms = rec_thms,
   911       case_thms = case_thms,
   912       split_thms = split_thms,
   913       induction = induction',
   914       size = size_thms,
   915       simps = simps}, thy11)
   916   end;
   917 
   918 val rep_datatype = gen_rep_datatype IsarThy.apply_theorems;
   919 val rep_datatype_i = gen_rep_datatype IsarThy.apply_theorems_i;
   920 
   921 
   922 
   923 (******************************** add datatype ********************************)
   924 
   925 fun gen_add_datatype prep_typ err flat_names new_type_names dts thy =
   926   let
   927     val _ = Theory.requires thy "Datatype" "datatype definitions";
   928 
   929     (* this theory is used just for parsing *)
   930 
   931     val tmp_thy = thy |>
   932       Theory.copy |>
   933       Theory.add_types (map (fn (tvs, tname, mx, _) =>
   934         (tname, length tvs, mx)) dts);
   935 
   936     val (tyvars, _, _, _)::_ = dts;
   937     val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) =>
   938       let val full_tname = Sign.full_name tmp_thy (Syntax.type_name tname mx)
   939       in (case duplicates (op =) tvs of
   940             [] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx))
   941                   else error ("Mutually recursive datatypes must have same type parameters")
   942           | dups => error ("Duplicate parameter(s) for datatype " ^ full_tname ^
   943               " : " ^ commas dups))
   944       end) dts);
   945 
   946     val _ = (case duplicates (op =) (map fst new_dts) @ duplicates (op =) new_type_names of
   947       [] => () | dups => error ("Duplicate datatypes: " ^ commas dups));
   948 
   949     fun prep_dt_spec (tvs, tname, mx, constrs) (dts', constr_syntax, sorts, i) =
   950       let
   951         fun prep_constr (cname, cargs, mx') (constrs, constr_syntax', sorts') =
   952           let
   953             val (cargs', sorts'') = Library.foldl (prep_typ tmp_thy) (([], sorts'), cargs);
   954             val _ = (case fold (curry add_typ_tfree_names) cargs' [] \\ tvs of
   955                 [] => ()
   956               | vs => error ("Extra type variables on rhs: " ^ commas vs))
   957           in (constrs @ [((if flat_names then Sign.full_name tmp_thy else
   958                 Sign.full_name_path tmp_thy tname) (Syntax.const_name cname mx'),
   959                    map (dtyp_of_typ new_dts) cargs')],
   960               constr_syntax' @ [(cname, mx')], sorts'')
   961           end handle ERROR msg =>
   962             cat_error msg ("The error above occured in constructor " ^ cname ^
   963               " of datatype " ^ tname);
   964 
   965         val (constrs', constr_syntax', sorts') =
   966           fold prep_constr constrs ([], [], sorts)
   967 
   968       in
   969         case duplicates (op =) (map fst constrs') of
   970            [] =>
   971              (dts' @ [(i, (Sign.full_name tmp_thy (Syntax.type_name tname mx),
   972                 map DtTFree tvs, constrs'))],
   973               constr_syntax @ [constr_syntax'], sorts', i + 1)
   974          | dups => error ("Duplicate constructors " ^ commas dups ^
   975              " in datatype " ^ tname)
   976       end;
   977 
   978     val (dts', constr_syntax, sorts', i) = fold prep_dt_spec dts ([], [], [], 0);
   979     val sorts = sorts' @ (map (rpair (Sign.defaultS tmp_thy)) (tyvars \\ map fst sorts'));
   980     val dt_info = get_datatypes thy;
   981     val (descr, _) = unfold_datatypes tmp_thy dts' sorts dt_info dts' i;
   982     val _ = check_nonempty descr handle (exn as Datatype_Empty s) =>
   983       if err then error ("Nonemptiness check failed for datatype " ^ s)
   984       else raise exn;
   985 
   986     val descr' = flat descr;
   987     val case_names_induct = mk_case_names_induct descr';
   988     val case_names_exhausts = mk_case_names_exhausts descr' (map #1 new_dts);
   989   in
   990     (if (!quick_and_dirty) then add_datatype_axm else add_datatype_def)
   991       flat_names new_type_names descr sorts types_syntax constr_syntax dt_info
   992       case_names_induct case_names_exhausts thy
   993   end;
   994 
   995 val add_datatype_i = gen_add_datatype cert_typ;
   996 val add_datatype = gen_add_datatype read_typ true;
   997 
   998 
   999 
  1000 (** package setup **)
  1001 
  1002 (* setup theory *)
  1003 
  1004 val setup =
  1005   DatatypesData.init #> Method.add_methods tactic_emulations #> simproc_setup #> trfun_setup;
  1006 
  1007 
  1008 (* outer syntax *)
  1009 
  1010 local structure P = OuterParse and K = OuterKeyword in
  1011 
  1012 val datatype_decl =
  1013   Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- P.type_args -- P.name -- P.opt_infix --
  1014     (P.$$$ "=" |-- P.enum1 "|" (P.name -- Scan.repeat P.typ -- P.opt_mixfix));
  1015 
  1016 fun mk_datatype args =
  1017   let
  1018     val names = map (fn ((((NONE, _), t), _), _) => t | ((((SOME t, _), _), _), _) => t) args;
  1019     val specs = map (fn ((((_, vs), t), mx), cons) =>
  1020       (vs, t, mx, map (fn ((x, y), z) => (x, y, z)) cons)) args;
  1021   in snd o add_datatype false names specs end;
  1022 
  1023 val datatypeP =
  1024   OuterSyntax.command "datatype" "define inductive datatypes" K.thy_decl
  1025     (P.and_list1 datatype_decl >> (Toplevel.theory o mk_datatype));
  1026 
  1027 
  1028 val rep_datatype_decl =
  1029   Scan.option (Scan.repeat1 P.name) --
  1030     Scan.optional (P.$$$ "distinct" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
  1031     Scan.optional (P.$$$ "inject" |-- P.!!! (P.and_list1 P.xthms1)) [[]] --
  1032     (P.$$$ "induction" |-- P.!!! P.xthm);
  1033 
  1034 fun mk_rep_datatype (((opt_ts, dss), iss), ind) = #2 o rep_datatype opt_ts dss iss ind;
  1035 
  1036 val rep_datatypeP =
  1037   OuterSyntax.command "rep_datatype" "represent existing types inductively" K.thy_decl
  1038     (rep_datatype_decl >> (Toplevel.theory o mk_rep_datatype));
  1039 
  1040 
  1041 val _ = OuterSyntax.add_keywords ["distinct", "inject", "induction"];
  1042 val _ = OuterSyntax.add_parsers [datatypeP, rep_datatypeP];
  1043 
  1044 end;
  1045 
  1046 
  1047 end;
  1048 
  1049 structure BasicDatatypePackage: BASIC_DATATYPE_PACKAGE = DatatypePackage;
  1050 open BasicDatatypePackage;
  1051