Nominal/Parser.thy
author Christian Urban <urbanc@in.tum.de>
Fri, 26 Feb 2010 18:38:25 +0100
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theory Parser
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imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp"
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begin
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atom_decl name
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section{* Interface for nominal_datatype *}
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text {*
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Nominal-Datatype-part:
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1nd Arg: (string list * binding * mixfix * (binding * typ list * mixfix) list) list
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         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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               type(s) to be defined             constructors list
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               (ty args, name, syn)              (name, typs, syn)
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Binder-Function-part:
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2rd Arg: (binding * typ option * mixfix) list 
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         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^    
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            binding function(s)           
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              to be defined               
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            (name, type, syn)             
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3th Arg:  term list 
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          ^^^^^^^^^
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          the equations of the binding functions
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          (Trueprop equations)
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*}
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ML {*
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*}
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text {*****************************************************}
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ML {* 
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(* nominal datatype parser *)
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local
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  structure P = OuterParse
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  fun tuple ((x, y, z), u) = (x, y, z, u)
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  fun tswap (((x, y), z), u) = (x, y, u, z)
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in
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val _ = OuterKeyword.keyword "bind"
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val anno_typ = Scan.option (P.name --| P.$$$ "::") -- P.typ
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(* binding specification *)
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(* maybe use and_list *)
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val bind_parser = 
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  P.enum "," ((P.$$$ "bind" |-- P.term) -- (P.$$$ "in" |-- P.name) >> swap)
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val constr_parser =
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  P.binding -- Scan.repeat anno_typ
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(* datatype parser *)
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val dt_parser =
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  (P.type_args -- P.binding -- P.opt_mixfix >> P.triple1) -- 
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    (P.$$$ "=" |-- P.enum1 "|" (constr_parser -- bind_parser -- P.opt_mixfix >> tswap)) >> tuple
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(* function equation parser *)
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val fun_parser = 
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  Scan.optional (P.$$$ "binder" |-- P.fixes -- SpecParse.where_alt_specs) ([],[])
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(* main parser *)
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val main_parser =
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  (P.and_list1 dt_parser) -- fun_parser >> P.triple2
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end
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*}
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(* adds "_raw" to the end of constants and types *)
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ML {*
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fun add_raw s = s ^ "_raw"
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fun add_raws ss = map add_raw ss
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fun raw_bind bn = Binding.suffix_name "_raw" bn
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fun replace_str ss s = 
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  case (AList.lookup (op=) ss s) of 
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     SOME s' => s'
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   | NONE => s
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fun replace_typ ty_ss (Type (a, Ts)) = Type (replace_str ty_ss a, map (replace_typ ty_ss) Ts)
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  | replace_typ ty_ss T = T  
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fun raw_dts ty_ss dts =
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let
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  val ty_ss' = ty_ss ~~ (add_raws ty_ss)
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  fun raw_dts_aux1 (bind, tys, mx) =
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    (raw_bind bind, map (replace_typ ty_ss') tys, mx)
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  fun raw_dts_aux2 (ty_args, bind, mx, constrs) =
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    (ty_args, raw_bind bind, mx, map raw_dts_aux1 constrs)
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in
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  map raw_dts_aux2 dts
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end
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fun replace_aterm trm_ss (Const (a, T)) = Const (replace_str trm_ss a, T)
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  | replace_aterm trm_ss (Free (a, T)) = Free (replace_str trm_ss a, T)
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  | replace_aterm trm_ss trm = trm
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fun replace_term trm_ss ty_ss trm =
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  trm |> Term.map_aterms (replace_aterm trm_ss) |> map_types (replace_typ ty_ss) 
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*}
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ML {*
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fun get_constrs dts =
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  flat (map (fn (_, _, _, constrs) => constrs) dts)
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fun get_typed_constrs dts =
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  flat (map (fn (_, bn, _, constrs) => 
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   (map (fn (bn', _, _) => (Binding.name_of bn, Binding.name_of bn')) constrs)) dts)
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fun get_constr_strs dts =
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  map (fn (bn, _, _) => Binding.name_of bn) (get_constrs dts)
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fun get_bn_fun_strs bn_funs =
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  map (fn (bn_fun, _, _) => Binding.name_of bn_fun) bn_funs
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*}
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ML {*
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fun raw_dts_decl dt_names dts lthy =
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let
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  val thy = ProofContext.theory_of lthy
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  val conf = Datatype.default_config
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  val dt_names' = add_raws dt_names
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  val dt_full_names = map (Sign.full_bname thy) dt_names 
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  val dts' = raw_dts dt_full_names dts
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in
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  lthy
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  |> Local_Theory.theory_result (Datatype.add_datatype conf dt_names' dts')
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end 
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*}
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ML {* Primrec.add_primrec *}
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ML {*
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fun raw_bn_fun_decl dt_names dts bn_funs bn_eqs lthy =
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let
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  val thy = ProofContext.theory_of lthy
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  val dt_names' = add_raws dt_names
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  val dt_full_names = map (Sign.full_bname thy) dt_names 
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  val dt_full_names' = map (Sign.full_bname thy) dt_names' 
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  val dt_env = dt_full_names ~~ dt_full_names'
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  val ctrs_names = map (Sign.full_bname thy) (get_constr_strs dts)
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  val ctrs_names' = map (fn (x, y) => (Sign.full_bname_path thy (add_raw x) (add_raw y))) 
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    (get_typed_constrs dts)
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  val ctrs_env = ctrs_names ~~ ctrs_names'
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  val bn_fun_strs = get_bn_fun_strs bn_funs
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  val bn_fun_strs' = add_raws bn_fun_strs
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  val bn_fun_env = bn_fun_strs ~~ bn_fun_strs'
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  val bn_funs' = map (fn (bn, ty, mx) => 
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    (raw_bind bn, SOME (replace_typ dt_env ty), mx)) bn_funs
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  val bn_eqs' = map (fn trm => 
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    (Attrib.empty_binding, replace_term (ctrs_env @ bn_fun_env) dt_env trm)) bn_eqs
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in
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  if null bn_eqs 
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  then (([], []), lthy)
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  else Primrec.add_primrec bn_funs' bn_eqs' lthy 
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end 
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*}
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ML {* 
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fun nominal_datatype2 dts bn_funs bn_eqs lthy =
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let
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  val dts_names = map (fn (_, s, _, _) => Binding.name_of s) dts
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in
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  lthy
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  |> raw_dts_decl dts_names dts
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  ||>> raw_bn_fun_decl dts_names dts bn_funs bn_eqs
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end
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*}
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ML {*
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fun get_constrs2 lthy dts =
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let
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  val thy = ProofContext.theory_of lthy
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  (* makes a full named type out of a binding with tvars applied to it *)
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  fun mk_type thy bind tvrs =
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    Type (Sign.full_name thy bind, map (fn s => TVar ((s, 0), [])) tvrs)
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  val dts' = map (fn (tvrs, tname, _, constrs) => (mk_type thy tname tvrs, constrs)) dts
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in
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  flat (map (fn (ty, constrs) => map (fn (bn, tys, mx) =>  (bn, tys ---> ty, mx)) constrs) dts')
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end
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*}
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ML {* 
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fun find_all _ [] _ = []
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  | find_all eq ((y, z)::xs) x = 
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      if eq (x, y) 
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      then z::find_all eq xs x 
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      else find_all eq xs x 
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*}
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ML {*
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fun mk_env xs =
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  let
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    fun mapp (_: int) [] = []
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      | mapp i ((a, _) :: xs) = 
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         case a of
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           NONE => mapp (i + 1) xs
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         | SOME x => (x, i) :: mapp (i + 1) xs
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  in mapp 0 xs end
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fun env_lookup xs x =
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  case AList.lookup (op =) xs x of
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    SOME x => x
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  | NONE => error ("cannot find " ^ x ^ " in the binding specification.")  
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*}
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ML {*
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fun nominal_datatype2_cmd (dt_strs, bn_fun_strs, bn_eq_strs) lthy =
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let
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  fun prep_typ (tvs, tname, mx, _) = (tname, length tvs, mx);
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  (* adding the types for parsing datatypes *)
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  val lthy_tmp1 = lthy
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    |> Local_Theory.theory (Sign.add_types (map prep_typ dt_strs))
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  (* parsing the datatypes *)
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  val dts_prep = 
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    let
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      fun prep_cnstr lthy (cname, anno_tys, mx, _) =
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        (cname, map (Syntax.read_typ lthy o snd) anno_tys, mx)
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      fun prep_dt lthy (tvs, tname, mx, cnstrs) = 
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        (tvs, tname, mx, map (prep_cnstr lthy) cnstrs)
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    in
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      map (prep_dt lthy_tmp1) dt_strs
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    end
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  (* adding constructors for parsing functions *)
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  val lthy_tmp2 = lthy_tmp1
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    |> Local_Theory.theory (Sign.add_consts_i (get_constrs2 lthy dts_prep))
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  (* parsing the function specification *)
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  val (bn_fun_prep, bn_eq_prep) =
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    let 
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      val ((bn_fun_aux, bn_eq_aux), _) = Specification.read_spec bn_fun_strs bn_eq_strs lthy_tmp2
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      fun prep_bn_fun ((bn, T), mx) = (bn, T, mx) 
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      fun prep_bn_eq (attr, t) = t
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    in
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      (map prep_bn_fun bn_fun_aux, map prep_bn_eq bn_eq_aux)
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    end 
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  (* adding functions for parsing binders *)
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  val lthy_tmp3 = lthy_tmp2
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    |> Local_Theory.theory (Sign.add_consts_i bn_fun_prep)
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  (* parsing the binding structure *)
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  val binds = 
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    let
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      fun prep_bn env str =
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        (case Syntax.read_term lthy_tmp3 str of
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           Free (x, _) => (env_lookup env x, NONE)
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         | Const (a, T) $ Free (x, _) => (env_lookup env x, SOME (Const (a, T)))
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         | _ => error (str ^ " not allowed as binding specification."))   
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      fun prep_typ env (opt_name, _) = 
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        (case opt_name of
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           NONE => []
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         | SOME x => find_all (op=) env x)
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      fun prep_binds (_, anno_tys, _, bind_strs) = 
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      let
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        val env = mk_env anno_tys
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        val binds = map (fn (x, y) => (x, prep_bn env y)) bind_strs  
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      in
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        map (prep_typ binds) anno_tys
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      end
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    in
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      map ((map prep_binds) o #4) dt_strs
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    end
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    val _ = tracing (PolyML.makestring binds)
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in
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  nominal_datatype2 dts_prep bn_fun_prep bn_eq_prep lthy |> snd 
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end
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*}
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(* Command Keyword *)
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ML {*
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let
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   val kind = OuterKeyword.thy_decl
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in
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   OuterSyntax.local_theory "nominal_datatype" "test" kind 
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     (main_parser >> nominal_datatype2_cmd)
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end
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*}
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end
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