src/Pure/Syntax/syn_trans.ML
author wenzelm
Sun Nov 26 18:07:34 2006 +0100 (2006-11-26)
changeset 21535 07f8cd0d7962
parent 20202 87205ea2af06
child 21750 41986849fee0
permissions -rw-r--r--
tuned;
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(*  Title:      Pure/Syntax/syn_trans.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen
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Syntax translation functions.
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*)
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signature SYN_TRANS0 =
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sig
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  val eta_contract: bool ref
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  val atomic_abs_tr': string * typ * term -> term * term
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  val mk_binder_tr: string * string -> string * (term list -> term)
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  val mk_binder_tr': string * string -> string * (term list -> term)
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  val dependent_tr': string * string -> term list -> term
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  val antiquote_tr: string -> term -> term
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  val quote_tr: string -> term -> term
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  val quote_antiquote_tr: string -> string -> string -> string * (term list -> term)
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  val antiquote_tr': string -> term -> term
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  val quote_tr': string -> term -> term
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  val quote_antiquote_tr': string -> string -> string -> string * (term list -> term)
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  val mark_bound: string -> term
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  val mark_boundT: string * typ -> term
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  val bound_vars: (string * typ) list -> term -> term
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  val variant_abs: string * typ * term -> string * term
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  val variant_abs': string * typ * term -> string * term
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end;
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signature SYN_TRANS1 =
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sig
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  include SYN_TRANS0
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  val non_typed_tr': (term list -> term) -> bool -> typ -> term list -> term
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  val non_typed_tr'': ('a -> term list -> term) -> 'a -> bool -> typ -> term list -> term
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  val constrainAbsC: string
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  val pure_trfuns:
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      (string * (Ast.ast list -> Ast.ast)) list *
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      (string * (term list -> term)) list *
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      (string * (term list -> term)) list *
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      (string * (Ast.ast list -> Ast.ast)) list
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  val pure_trfunsT: (string * (bool -> typ -> term list -> term)) list
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  val struct_trfuns: string list ->
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      (string * (Ast.ast list -> Ast.ast)) list *
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      (string * (term list -> term)) list *
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      (string * (bool -> typ -> term list -> term)) list *
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      (string * (Ast.ast list -> Ast.ast)) list
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end;
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signature SYN_TRANS =
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sig
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  include SYN_TRANS1
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  val abs_tr': term -> term
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  val prop_tr': term -> term
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  val appl_ast_tr': Ast.ast * Ast.ast list -> Ast.ast
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  val applC_ast_tr': Ast.ast * Ast.ast list -> Ast.ast
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  val pts_to_asts: Context.generic ->
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    (string -> (Context.generic -> Ast.ast list -> Ast.ast) option) ->
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    Parser.parsetree list -> Ast.ast list
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  val asts_to_terms: Context.generic ->
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    (string -> (Context.generic -> term list -> term) option) -> Ast.ast list -> term list
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end;
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structure SynTrans: SYN_TRANS =
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struct
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(** parse (ast) translations **)
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(* constify *)
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fun constify_ast_tr [Ast.Variable c] = Ast.Constant c
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  | constify_ast_tr asts = raise Ast.AST ("constify_ast_tr", asts);
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(* application *)
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fun appl_ast_tr [f, args] = Ast.Appl (f :: Ast.unfold_ast "_args" args)
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  | appl_ast_tr asts = raise Ast.AST ("appl_ast_tr", asts);
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fun applC_ast_tr [f, args] = Ast.Appl (f :: Ast.unfold_ast "_cargs" args)
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  | applC_ast_tr asts = raise Ast.AST ("applC_ast_tr", asts);
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(* abstraction *)
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fun idtyp_ast_tr (*"_idtyp"*) [x, ty] = Ast.Appl [Ast.Constant "_constrain", x, ty]
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  | idtyp_ast_tr (*"_idtyp"*) asts = raise Ast.AST ("idtyp_ast_tr", asts);
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fun idtypdummy_ast_tr (*"_idtypdummy"*) [ty] =
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      Ast.Appl [Ast.Constant "_constrain", Ast.Constant "_idtdummy", ty]
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  | idtypdummy_ast_tr (*"_idtypdummy"*) asts = raise Ast.AST ("idtyp_ast_tr", asts);
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fun lambda_ast_tr (*"_lambda"*) [pats, body] =
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      Ast.fold_ast_p "_abs" (Ast.unfold_ast "_pttrns" pats, body)
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  | lambda_ast_tr (*"_lambda"*) asts = raise Ast.AST ("lambda_ast_tr", asts);
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val constrainAbsC = "_constrainAbs";
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fun abs_tr (*"_abs"*) [Free (x, T), t] = Term.absfree (x, T, t)
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  | abs_tr (*"_abs"*) [Const ("_idtdummy", T), t] = Term.absdummy (T, t)
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  | abs_tr (*"_abs"*) [Const ("_constrain", _) $ Free (x, T) $ tT, t] =
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      Lexicon.const constrainAbsC $ Term.absfree (x, T, t) $ tT
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  | abs_tr (*"_abs"*) [Const ("_constrain", _) $ Const ("_idtdummy", T) $ tT, t] =
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      Lexicon.const constrainAbsC $ Term.absdummy (T, t) $ tT
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  | abs_tr (*"_abs"*) ts = raise TERM ("abs_tr", ts);
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(* binder *)
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fun mk_binder_tr (syn, name) =
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  let
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    fun tr (Free (x, T), t) = Lexicon.const name $ Term.absfree (x, T, t)
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      | tr (Const ("_idtdummy", T), t) = Lexicon.const name $ Term.absdummy (T, t)
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      | tr (Const ("_constrain", _) $ Free (x, T) $ tT, t) =
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          Lexicon.const name $ (Lexicon.const constrainAbsC $ Term.absfree (x, T, t) $ tT)
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      | tr (Const ("_constrain", _) $ Const ("_idtdummy", T) $ tT, t) =
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          Lexicon.const name $ (Lexicon.const constrainAbsC $ Term.absdummy (T, t) $ tT)
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      | tr (Const ("_idts", _) $ idt $ idts, t) = tr (idt, tr (idts, t))
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      | tr (t1, t2) = raise TERM ("binder_tr", [t1, t2]);
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    fun binder_tr [idts, body] = tr (idts, body)
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      | binder_tr ts = raise TERM ("binder_tr", ts);
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  in (syn, binder_tr) end;
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(* meta propositions *)
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fun aprop_tr (*"_aprop"*) [t] = Lexicon.const "_constrain" $ t $ Lexicon.const "prop"
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  | aprop_tr (*"_aprop"*) ts = raise TERM ("aprop_tr", ts);
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fun ofclass_tr (*"_ofclass"*) [ty, cls] =
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      cls $ (Lexicon.const "_constrain" $ Lexicon.const "TYPE" $
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        (Lexicon.const "itself" $ ty))
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  | ofclass_tr (*"_ofclass"*) ts = raise TERM ("ofclass_tr", ts);
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(* meta implication *)
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fun bigimpl_ast_tr (*"_bigimpl"*) (asts as [asms, concl]) =
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      let val prems =
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        (case Ast.unfold_ast_p "_asms" asms of
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          (asms', Ast.Appl [Ast.Constant "_asm", asm']) => asms' @ [asm']
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        | _ => raise Ast.AST ("bigimpl_ast_tr", asts))
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      in Ast.fold_ast_p "==>" (prems, concl) end
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  | bigimpl_ast_tr (*"_bigimpl"*) asts = raise Ast.AST ("bigimpl_ast_tr", asts);
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(* type reflection *)
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fun type_tr (*"_TYPE"*) [ty] =
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      Lexicon.const "_constrain" $ Lexicon.const "TYPE" $ (Lexicon.const "itself" $ ty)
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  | type_tr (*"_TYPE"*) ts = raise TERM ("type_tr", ts);
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(* dddot *)
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fun dddot_tr (*"_DDDOT"*) ts = Term.list_comb (Lexicon.var SynExt.dddot_indexname, ts);
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(* quote / antiquote *)
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fun antiquote_tr name =
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  let
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    fun tr i ((t as Const (c, _)) $ u) =
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          if c = name then tr i u $ Bound i
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          else tr i t $ tr i u
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      | tr i (t $ u) = tr i t $ tr i u
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      | tr i (Abs (x, T, t)) = Abs (x, T, tr (i + 1) t)
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      | tr _ a = a;
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  in tr 0 end;
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fun quote_tr name t = Abs ("s", dummyT, antiquote_tr name (Term.incr_boundvars 1 t));
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fun quote_antiquote_tr quoteN antiquoteN name =
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  let
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    fun tr [t] = Lexicon.const name $ quote_tr antiquoteN t
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      | tr ts = raise TERM ("quote_tr", ts);
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  in (quoteN, tr) end;
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(* indexed syntax *)
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fun struct_ast_tr (*"_struct"*) [Ast.Appl [Ast.Constant "_index", ast]] = ast
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  | struct_ast_tr (*"_struct"*) asts = Ast.mk_appl (Ast.Constant "_struct") asts;
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fun index_ast_tr ast =
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  Ast.mk_appl (Ast.Constant "_index") [Ast.mk_appl (Ast.Constant "_struct") [ast]];
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fun indexdefault_ast_tr (*"_indexdefault"*) [] =
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      index_ast_tr (Ast.Constant "_indexdefault")
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  | indexdefault_ast_tr (*"_indexdefault"*) asts =
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      raise Ast.AST ("indexdefault_ast_tr", asts);
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fun indexnum_ast_tr (*"_indexnum"*) [ast] =
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      index_ast_tr (Ast.mk_appl (Ast.Constant "_indexnum") [ast])
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  | indexnum_ast_tr (*"_indexnum"*) asts = raise Ast.AST ("indexnum_ast_tr", asts);
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fun indexvar_ast_tr (*"_indexvar"*) [] =
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      Ast.mk_appl (Ast.Constant "_index") [Ast.Variable "some_index"]
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  | indexvar_ast_tr (*"_indexvar"*) asts = raise Ast.AST ("indexvar_ast_tr", asts);
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fun index_tr (*"_index"*) [t] = t
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  | index_tr (*"_index"*) ts = raise TERM ("index_tr", ts);
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(* implicit structures *)
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fun the_struct structs i =
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  if 1 <= i andalso i <= length structs then List.nth (structs, i - 1)
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  else raise error ("Illegal reference to implicit structure #" ^ string_of_int i);
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fun struct_tr structs (*"_struct"*) [Const ("_indexdefault", _)] =
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      Lexicon.free (the_struct structs 1)
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  | struct_tr structs (*"_struct"*) [t as (Const ("_indexnum", _) $ Const (s, _))] =
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      Lexicon.free (the_struct structs
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        (case Lexicon.read_nat s of SOME n => n | NONE => raise TERM ("struct_tr", [t])))
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  | struct_tr _ (*"_struct"*) ts = raise TERM ("struct_tr", ts);
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(** print (ast) translations **)
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(* types *)
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fun non_typed_tr' f _ _ ts = f ts;
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fun non_typed_tr'' f x _ _ ts = f x ts;
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(* application *)
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fun appl_ast_tr' (f, []) = raise Ast.AST ("appl_ast_tr'", [f])
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  | appl_ast_tr' (f, args) = Ast.Appl [Ast.Constant "_appl", f, Ast.fold_ast "_args" args];
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fun applC_ast_tr' (f, []) = raise Ast.AST ("applC_ast_tr'", [f])
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  | applC_ast_tr' (f, args) = Ast.Appl [Ast.Constant "_applC", f, Ast.fold_ast "_cargs" args];
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(* abstraction *)
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fun mark_boundT (x, T) = Const ("_bound", T --> T) $ Free (x, T);
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fun mark_bound x = mark_boundT (x, dummyT);
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fun bound_vars vars body =
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  subst_bounds (map mark_boundT (Term.rename_wrt_term body vars), body);
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fun strip_abss vars_of body_of tm =
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  let
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    val vars = vars_of tm;
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    val body = body_of tm;
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    val rev_new_vars = rename_wrt_term body vars;
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  in
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    (map mark_boundT (rev rev_new_vars),
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      subst_bounds (map (mark_bound o #1) rev_new_vars, body))
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  end;
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(*do (partial) eta-contraction before printing*)
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val eta_contract = ref true;
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fun eta_contr tm =
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  let
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    fun is_aprop (Const ("_aprop", _)) = true
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      | is_aprop _ = false;
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    fun eta_abs (Abs (a, T, t)) =
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          (case eta_abs t of
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            t' as f $ u =>
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              (case eta_abs u of
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                Bound 0 =>
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                  if Term.loose_bvar1 (f, 0) orelse is_aprop f then Abs (a, T, t')
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                  else  incr_boundvars ~1 f
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              | _ => Abs (a, T, t'))
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          | t' => Abs (a, T, t'))
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      | eta_abs t = t;
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  in
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    if ! eta_contract then eta_abs tm else tm
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  end;
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fun abs_tr' tm =
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  uncurry (fold_rev (fn x => fn t => Lexicon.const "_abs" $ x $ t))
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    (strip_abss strip_abs_vars strip_abs_body (eta_contr tm));
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fun atomic_abs_tr' (x, T, t) =
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  let val [xT] = rename_wrt_term t [(x, T)]
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  in (mark_boundT xT, subst_bound (mark_bound (fst xT), t)) end;
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fun abs_ast_tr' (*"_abs"*) asts =
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  (case Ast.unfold_ast_p "_abs" (Ast.Appl (Ast.Constant "_abs" :: asts)) of
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    ([], _) => raise Ast.AST ("abs_ast_tr'", asts)
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  | (xs, body) => Ast.Appl [Ast.Constant "_lambda", Ast.fold_ast "_pttrns" xs, body]);
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(* binder *)
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fun mk_binder_tr' (name, syn) =
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  let
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    fun mk_idts [] = raise Match    (*abort translation*)
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      | mk_idts [idt] = idt
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      | mk_idts (idt :: idts) = Lexicon.const "_idts" $ idt $ mk_idts idts;
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    fun tr' t =
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      let
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        val (xs, bd) = strip_abss (strip_qnt_vars name) (strip_qnt_body name) t;
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      in Lexicon.const syn $ mk_idts xs $ bd end;
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    fun binder_tr' (t :: ts) = Term.list_comb (tr' (Lexicon.const name $ t), ts)
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      | binder_tr' [] = raise Match;
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  in (name, binder_tr') end;
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(* idtyp constraints *)
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fun idtyp_ast_tr' a [Ast.Appl [Ast.Constant c, x, ty], xs] =
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      if c = "_constrain" then
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        Ast.Appl [ Ast.Constant a,  Ast.Appl [Ast.Constant "_idtyp", x, ty], xs]
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      else raise Match
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  | idtyp_ast_tr' _ _ = raise Match;
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(* meta propositions *)
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fun prop_tr' tm =
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  let
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    fun aprop t = Lexicon.const "_aprop" $ t;
wenzelm@548
   325
wenzelm@2698
   326
    fun is_prop Ts t =
wenzelm@2698
   327
      fastype_of1 (Ts, t) = propT handle TERM _ => false;
wenzelm@548
   328
wenzelm@19848
   329
    fun is_term (Const ("ProtoPure.term", _) $ _) = true
wenzelm@19848
   330
      | is_term _ = false;
wenzelm@19848
   331
wenzelm@548
   332
    fun tr' _ (t as Const _) = t
wenzelm@18478
   333
      | tr' Ts (t as Const ("_bound", _) $ u) =
wenzelm@18478
   334
          if is_prop Ts u then aprop t else t
wenzelm@2698
   335
      | tr' _ (t as Free (x, T)) =
wenzelm@5690
   336
          if T = propT then aprop (Lexicon.free x) else t
wenzelm@2698
   337
      | tr' _ (t as Var (xi, T)) =
wenzelm@5690
   338
          if T = propT then aprop (Lexicon.var xi) else t
wenzelm@2698
   339
      | tr' Ts (t as Bound _) =
wenzelm@2698
   340
          if is_prop Ts t then aprop t else t
wenzelm@2698
   341
      | tr' Ts (Abs (x, T, t)) = Abs (x, T, tr' (T :: Ts) t)
wenzelm@2698
   342
      | tr' Ts (t as t1 $ (t2 as Const ("TYPE", Type ("itself", [T])))) =
wenzelm@19848
   343
          if is_prop Ts t andalso not (is_term t) then Const ("_mk_ofclass", T) $ tr' Ts t1
wenzelm@2698
   344
          else tr' Ts t1 $ tr' Ts t2
wenzelm@2698
   345
      | tr' Ts (t as t1 $ t2) =
wenzelm@5690
   346
          (if is_Const (Term.head_of t) orelse not (is_prop Ts t)
wenzelm@2698
   347
            then I else aprop) (tr' Ts t1 $ tr' Ts t2);
wenzelm@16612
   348
  in tr' [] tm end;
wenzelm@548
   349
wenzelm@4148
   350
fun mk_ofclass_tr' show_sorts (*"_mk_ofclass"*) T [t] =
wenzelm@5690
   351
      Lexicon.const "_ofclass" $ TypeExt.term_of_typ show_sorts T $ t
wenzelm@4148
   352
  | mk_ofclass_tr' _ (*"_mk_ofclass"*) T ts = raise TYPE ("mk_ofclass_tr'", [T], ts);
wenzelm@2698
   353
wenzelm@2698
   354
wenzelm@548
   355
(* meta implication *)
wenzelm@548
   356
wenzelm@548
   357
fun impl_ast_tr' (*"==>"*) asts =
wenzelm@10572
   358
  if TypeExt.no_brackets () then raise Match
wenzelm@10572
   359
  else
wenzelm@10572
   360
    (case Ast.unfold_ast_p "==>" (Ast.Appl (Ast.Constant "==>" :: asts)) of
wenzelm@16612
   361
      (prems as _ :: _ :: _, concl) =>
wenzelm@16612
   362
        let
wenzelm@16612
   363
          val (asms, asm) = split_last prems;
wenzelm@16612
   364
          val asms' = Ast.fold_ast_p "_asms" (asms, Ast.Appl [Ast.Constant "_asm", asm]);
wenzelm@16612
   365
        in Ast.Appl [Ast.Constant "_bigimpl", asms', concl] end
schirmer@15421
   366
    | _ => raise Match);
schirmer@15421
   367
wenzelm@548
   368
wenzelm@4148
   369
(* type reflection *)
wenzelm@4148
   370
wenzelm@4148
   371
fun type_tr' show_sorts (*"TYPE"*) (Type ("itself", [T])) ts =
wenzelm@5690
   372
      Term.list_comb (Lexicon.const "_TYPE" $ TypeExt.term_of_typ show_sorts T, ts)
wenzelm@4148
   373
  | type_tr' _ _ _ = raise Match;
wenzelm@4148
   374
wenzelm@4148
   375
wenzelm@19577
   376
(* type constraints *)
wenzelm@19577
   377
wenzelm@19577
   378
fun type_constraint_tr' show_sorts (*"_type_constraint_"*) (Type ("fun", [T, _])) (t :: ts) =
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   379
      Term.list_comb (Lexicon.const SynExt.constrainC $ t $ TypeExt.term_of_typ show_sorts T, ts)
wenzelm@19577
   380
  | type_constraint_tr' _ _ _ = raise Match;
wenzelm@19577
   381
wenzelm@19577
   382
wenzelm@548
   383
(* dependent / nondependent quantifiers *)
wenzelm@548
   384
wenzelm@20202
   385
fun var_abs mark (x, T, b) =
wenzelm@20202
   386
  let val ([x'], _) = Name.variants [x] (Term.declare_term_names b Name.context)
wenzelm@20202
   387
  in (x', subst_bound (mark (x', T), b)) end;
wenzelm@20202
   388
wenzelm@20202
   389
val variant_abs = var_abs Free;
wenzelm@20202
   390
val variant_abs' = var_abs mark_boundT;
wenzelm@2698
   391
wenzelm@548
   392
fun dependent_tr' (q, r) (A :: Abs (x, T, B) :: ts) =
wenzelm@5084
   393
      if Term.loose_bvar1 (B, 0) then
wenzelm@2698
   394
        let val (x', B') = variant_abs' (x, dummyT, B);
wenzelm@5690
   395
        in Term.list_comb (Lexicon.const q $ mark_boundT (x', T) $ A $ B', ts) end
wenzelm@5690
   396
      else Term.list_comb (Lexicon.const r $ A $ B, ts)
wenzelm@548
   397
  | dependent_tr' _ _ = raise Match;
wenzelm@548
   398
wenzelm@548
   399
wenzelm@5084
   400
(* quote / antiquote *)
wenzelm@5084
   401
wenzelm@8577
   402
fun antiquote_tr' name =
wenzelm@8577
   403
  let
wenzelm@8577
   404
    fun tr' i (t $ u) =
wenzelm@18139
   405
      if u aconv Bound i then Lexicon.const name $ tr' i t
wenzelm@8577
   406
      else tr' i t $ tr' i u
wenzelm@8577
   407
      | tr' i (Abs (x, T, t)) = Abs (x, T, tr' (i + 1) t)
wenzelm@18139
   408
      | tr' i a = if a aconv Bound i then raise Match else a;
wenzelm@8577
   409
  in tr' 0 end;
wenzelm@8577
   410
wenzelm@8577
   411
fun quote_tr' name (Abs (_, _, t)) = Term.incr_boundvars ~1 (antiquote_tr' name t)
wenzelm@8577
   412
  | quote_tr' _ _ = raise Match;
wenzelm@8577
   413
wenzelm@5084
   414
fun quote_antiquote_tr' quoteN antiquoteN name =
wenzelm@5084
   415
  let
wenzelm@8577
   416
    fun tr' (t :: ts) = Term.list_comb (Lexicon.const quoteN $ quote_tr' antiquoteN t, ts)
wenzelm@8577
   417
      | tr' _ = raise Match;
wenzelm@8577
   418
  in (name, tr') end;
wenzelm@5084
   419
wenzelm@5084
   420
wenzelm@14697
   421
(* indexed syntax *)
wenzelm@548
   422
wenzelm@14697
   423
fun index_ast_tr' (*"_index"*) [Ast.Appl [Ast.Constant "_struct", ast]] = ast
wenzelm@14697
   424
  | index_ast_tr' _ = raise Match;
wenzelm@14697
   425
wenzelm@14697
   426
wenzelm@14697
   427
(* implicit structures *)
wenzelm@14697
   428
wenzelm@14697
   429
fun the_struct' structs s =
wenzelm@14697
   430
  [(case Lexicon.read_nat s of
wenzelm@18678
   431
    SOME i => Ast.Variable (the_struct structs i handle ERROR _ => raise Match)
skalberg@15531
   432
  | NONE => raise Match)] |> Ast.mk_appl (Ast.Constant "_free");
wenzelm@14697
   433
wenzelm@14697
   434
fun struct_ast_tr' structs (*"_struct"*) [Ast.Constant "_indexdefault"] =
wenzelm@14697
   435
      the_struct' structs "1"
wenzelm@14697
   436
  | struct_ast_tr' structs (*"_struct"*) [Ast.Appl [Ast.Constant "_indexnum", Ast.Constant s]] =
wenzelm@14697
   437
      the_struct' structs s
wenzelm@14697
   438
  | struct_ast_tr' _ _ = raise Match;
wenzelm@14697
   439
wenzelm@14697
   440
wenzelm@14697
   441
wenzelm@14697
   442
(** Pure translations **)
wenzelm@548
   443
wenzelm@548
   444
val pure_trfuns =
wenzelm@11491
   445
 ([("_constify", constify_ast_tr), ("_appl", appl_ast_tr), ("_applC", applC_ast_tr),
wenzelm@17788
   446
   ("_lambda", lambda_ast_tr), ("_idtyp", idtyp_ast_tr), ("_idtypdummy", idtypdummy_ast_tr),
wenzelm@17788
   447
   ("_bigimpl", bigimpl_ast_tr), ("_indexdefault", indexdefault_ast_tr),
wenzelm@17788
   448
   ("_indexnum", indexnum_ast_tr), ("_indexvar", indexvar_ast_tr), ("_struct", struct_ast_tr)],
clasohm@922
   449
  [("_abs", abs_tr), ("_aprop", aprop_tr), ("_ofclass", ofclass_tr),
wenzelm@17788
   450
   ("_TYPE", type_tr), ("_DDDOT", dddot_tr),
wenzelm@14697
   451
   ("_index", index_tr)],
wenzelm@19131
   452
  ([]: (string * (term list -> term)) list),
wenzelm@3691
   453
  [("_abs", abs_ast_tr'), ("_idts", idtyp_ast_tr' "_idts"),
wenzelm@14697
   454
   ("_pttrns", idtyp_ast_tr' "_pttrns"), ("==>", impl_ast_tr'),
wenzelm@14697
   455
   ("_index", index_ast_tr')]);
wenzelm@548
   456
wenzelm@2698
   457
val pure_trfunsT =
wenzelm@19577
   458
  [("_mk_ofclass", mk_ofclass_tr'), ("TYPE", type_tr'),
wenzelm@19577
   459
   ("_type_constraint_", type_constraint_tr')];
wenzelm@2698
   460
wenzelm@14697
   461
fun struct_trfuns structs =
wenzelm@14697
   462
  ([], [("_struct", struct_tr structs)], [], [("_struct", struct_ast_tr' structs)]);
wenzelm@14697
   463
wenzelm@548
   464
wenzelm@548
   465
wenzelm@14868
   466
(** pts_to_asts **)
wenzelm@548
   467
wenzelm@18857
   468
fun pts_to_asts context trf pts =
wenzelm@548
   469
  let
wenzelm@548
   470
    fun trans a args =
wenzelm@548
   471
      (case trf a of
skalberg@15531
   472
        NONE => Ast.mk_appl (Ast.Constant a) args
wenzelm@16612
   473
      | SOME f => transform_failure (fn exn =>
wenzelm@17364
   474
            EXCEPTION (exn, "Error in parse ast translation for " ^ quote a))
wenzelm@18857
   475
          (fn () => f context args) ());
wenzelm@548
   476
clasohm@987
   477
    (*translate pt bottom-up*)
wenzelm@5690
   478
    fun ast_of (Parser.Node (a, pts)) = trans a (map ast_of pts)
wenzelm@5690
   479
      | ast_of (Parser.Tip tok) = Ast.Variable (Lexicon.str_of_token tok);
berghofe@14798
   480
wenzelm@14868
   481
    val exn_results = map (capture ast_of) pts;
wenzelm@19482
   482
    val exns = map_filter get_exn exn_results;
wenzelm@19482
   483
    val results = map_filter get_result exn_results
wenzelm@16612
   484
  in (case (results, exns) of ([], exn :: _) => raise exn | _ => results) end;
wenzelm@548
   485
wenzelm@548
   486
wenzelm@548
   487
berghofe@14798
   488
(** asts_to_terms **)
wenzelm@548
   489
wenzelm@18857
   490
fun asts_to_terms context trf asts =
wenzelm@548
   491
  let
wenzelm@548
   492
    fun trans a args =
wenzelm@548
   493
      (case trf a of
skalberg@15531
   494
        NONE => Term.list_comb (Lexicon.const a, args)
wenzelm@16612
   495
      | SOME f => transform_failure (fn exn =>
wenzelm@17364
   496
            EXCEPTION (exn, "Error in parse translation for " ^ quote a))
wenzelm@18857
   497
          (fn () => f context args) ());
wenzelm@548
   498
wenzelm@5690
   499
    fun term_of (Ast.Constant a) = trans a []
wenzelm@5690
   500
      | term_of (Ast.Variable x) = Lexicon.read_var x
wenzelm@5690
   501
      | term_of (Ast.Appl (Ast.Constant a :: (asts as _ :: _))) =
wenzelm@548
   502
          trans a (map term_of asts)
wenzelm@5690
   503
      | term_of (Ast.Appl (ast :: (asts as _ :: _))) =
wenzelm@5690
   504
          Term.list_comb (term_of ast, map term_of asts)
wenzelm@5690
   505
      | term_of (ast as Ast.Appl _) = raise Ast.AST ("ast_to_term: malformed ast", [ast]);
berghofe@14798
   506
wenzelm@19005
   507
    val free_fixed = Term.map_aterms
wenzelm@19005
   508
      (fn t as Const (c, T) =>
wenzelm@19005
   509
          (case try (unprefix Lexicon.fixedN) c of
wenzelm@19005
   510
            NONE => t
wenzelm@18342
   511
          | SOME x => Free (x, T))
wenzelm@19005
   512
        | t => t);
wenzelm@18342
   513
wenzelm@18342
   514
    val exn_results = map (capture (term_of #> free_fixed)) asts;
wenzelm@19482
   515
    val exns = map_filter get_exn exn_results;
wenzelm@19482
   516
    val results = map_filter get_result exn_results
wenzelm@16612
   517
  in (case (results, exns) of ([], exn :: _) => raise exn | _ => results) end;
wenzelm@548
   518
wenzelm@548
   519
end;