src/Pure/Syntax/syntax.ML
author wenzelm
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lots of internal cleaning and tuning; removed {parse,print}_{pre,post}_proc; new lexer: now human readable due to scanner combinators; new parser installed, but still inactive (due to grammar ambiguities); added Syntax.test_read; typ_of_term: sorts now made distinct and sorted; mixfix: added forced line breaks (//); PROP now printed before subterm of type prop with non-const head;
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(*  Title:      Pure/Syntax/syntax.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow and Markus Wenzel, TU Muenchen
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Root of Isabelle's syntax module.
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TODO:
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  extend_tables (requires extend_gram) (roots!)
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  replace add_synrules by extend_tables
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  extend, merge: make roots handling more robust
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  extend: read_typ (incl check) as arg, remove def_sort
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  extend: use extend_tables
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*)
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signature SYNTAX =
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sig
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  include AST0
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  include LEXICON0
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  include EXTENSION0
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  include TYPE_EXT0
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  include SEXTENSION1
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  include PRINTER0
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  type syntax
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  val type_syn: syntax
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  val extend: syntax * (indexname -> sort) -> string list * string list * sext
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    -> syntax
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  val merge: syntax * syntax -> syntax
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  val print_gram: syntax -> unit
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  val print_trans: syntax -> unit
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  val print_syntax: syntax -> unit
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  val test_read: syntax -> string -> string -> unit
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  val read: syntax -> typ -> string -> term
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  val pretty_term: syntax -> term -> Pretty.T
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  val pretty_typ: syntax -> typ -> Pretty.T
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  val string_of_term: syntax -> term -> string
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  val string_of_typ: syntax -> typ -> string
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end;
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functor SyntaxFun(structure Symtab: SYMTAB and TypeExt: TYPE_EXT
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  and Parser: PARSER and SExtension: SEXTENSION and Printer: PRINTER
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  sharing TypeExt.Extension = SExtension.Extension
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  and Parser.XGram = TypeExt.Extension.XGram = Printer.XGram
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  and Parser.XGram.Ast = Parser.ParseTree.Ast)(*: SYNTAX *) = (* FIXME *)
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struct
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structure Extension = TypeExt.Extension;
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structure XGram = Extension.XGram;
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structure Lexicon = Parser.ParseTree.Lexicon;
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open Lexicon Parser Parser.ParseTree Extension TypeExt SExtension Printer
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  XGram XGram.Ast;
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fun lookup tab a = Symtab.lookup (tab, a);
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(** datatype syntax **)
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datatype tables =
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  Tabs of {
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    lexicon: lexicon,
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    roots: string list,
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    gram: gram,
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    consts: string list,
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    parse_ast_trtab: (ast list -> ast) Symtab.table,
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    parse_ruletab: (ast * ast) list Symtab.table,
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    parse_trtab: (term list -> term) Symtab.table,
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    print_trtab: (term list -> term) Symtab.table,
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    print_ruletab: (ast * ast) list Symtab.table,
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    prtab: prtab};
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datatype gramgraph =
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  EmptyGG |
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  ExtGG of gramgraph ref * (ext * synrules) |
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  MergeGG of gramgraph ref * gramgraph ref;
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datatype syntax = Syntax of gramgraph ref * tables;
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(*** compile syntax ***)
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(* translation funs *)
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fun extend_trtab tab trfuns name =
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  Symtab.balance (Symtab.st_of_alist (trfuns, tab)) handle Symtab.DUPLICATE s
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    => error ("More than one " ^ name ^ " for " ^ quote s);
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val mk_trtab = extend_trtab Symtab.null;
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(* translation rules *)
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fun mk_ruletab rules =
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  let
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    fun add_rule (r, tab) =
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      let val a = head_of_rule r;
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      in
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        (case lookup tab a of
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          None => Symtab.update ((a, [r]), tab)
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        | Some rs => Symtab.update ((a, r :: rs), tab))
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      end;
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  in
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    Symtab.balance (foldr add_rule (rules, Symtab.null))
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  end;
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fun extend_ruletab tab rules =
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  mk_ruletab (flat (map #2 (Symtab.alist_of tab)) @ rules);
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(* mk_tables *)
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fun mk_tables (XGram xgram) =
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  let
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    val {roots, prods, consts, parse_ast_translation, parse_rules,
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      parse_translation, print_translation, print_rules,
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      print_ast_translation} = xgram;
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  in
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    Tabs {
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      lexicon = mk_lexicon (literals_of prods),
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      roots = roots,
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      gram = mk_gram roots prods,
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      consts = consts,
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      parse_ast_trtab = mk_trtab parse_ast_translation "parse ast translation",
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      parse_ruletab = mk_ruletab parse_rules,
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      parse_trtab = mk_trtab parse_translation "parse translation",
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      print_trtab = mk_trtab print_translation "print translation",
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      print_ruletab = mk_ruletab print_rules,
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      prtab = mk_prtab prods print_ast_translation}
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  end;
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(* add_synrules *)
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fun add_synrules (Tabs tabs) (SynRules rules) =
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  let
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    val {lexicon, roots, gram, consts, parse_ast_trtab, parse_ruletab,
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      parse_trtab, print_trtab, print_ruletab, prtab} = tabs;
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    val {parse_rules, print_rules} = rules;
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  in
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    Tabs {
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      lexicon = lexicon, roots = roots, gram = gram, consts = consts,
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      parse_ast_trtab = parse_ast_trtab,
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      parse_ruletab = extend_ruletab parse_ruletab parse_rules,
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      parse_trtab = parse_trtab,
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      print_trtab = print_trtab,
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      print_ruletab = extend_ruletab print_ruletab print_rules,
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      prtab = prtab}
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  end;
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(* ggr_to_xgram *)
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fun ggr_to_xgram ggr =
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  let
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    fun flatGG ggr (xg, v) =
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      if ggr mem v then (xg, v) else flatGG' ggr (xg, ggr :: v)
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    and flatGG' (ref EmptyGG) xgv = xgv
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      | flatGG' (ref (ExtGG (ggr, ext))) xgv =
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          let
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            val (xg', v') = flatGG ggr xgv;
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          in
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            (extend_xgram xg' ext, v')
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          end
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      | flatGG' (ref (MergeGG (ggr1, ggr2))) xgv =
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          flatGG ggr1 (flatGG ggr2 xgv);
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  in
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    #1 (flatGG ggr (empty_xgram, []))
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  end;
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(* make_syntax *)
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fun make_syntax ggr = Syntax (ggr, mk_tables (ggr_to_xgram ggr));
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(*** inspect syntax ***)
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fun xgram_of (Syntax (ggr, _)) = ggr_to_xgram ggr;
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fun string_of_big_list name prts =
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  Pretty.string_of (Pretty.blk (2,
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    separate Pretty.fbrk (Pretty.str name :: prts)));
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fun string_of_strings name strs =
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  Pretty.string_of (Pretty.blk (2,
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    separate (Pretty.brk 1)
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      (map Pretty.str (name :: map quote (sort_strings strs)))));
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(* print_gram *)
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fun prt_gram (XGram {roots, prods, ...}) =
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  let
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    fun pretty_name name = [Pretty.str (name ^ " ="), Pretty.brk 1];
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    fun pretty_xsymbs (Terminal s :: xs) =
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          Pretty.str (quote s) :: Pretty.brk 1 :: pretty_xsymbs xs
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      | pretty_xsymbs (Nonterminal (s, p) :: xs) =
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          (if is_terminal s then Pretty.str s
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          else Pretty.str (s ^ "[" ^ string_of_int p ^ "]"))
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            :: Pretty.brk 1 :: pretty_xsymbs xs
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      | pretty_xsymbs (_ :: xs) = pretty_xsymbs xs
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      | pretty_xsymbs [] = [];
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    fun pretty_const "" = [Pretty.brk 1]
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      | pretty_const c = [Pretty.str (" => " ^ quote c), Pretty.brk 1];
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    fun pretty_pri p = [Pretty.str ("(" ^ string_of_int p ^ ")")];
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    fun pretty_prod (Prod (name, xsymbs, const, pri)) =
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      Pretty.blk (2, pretty_name name @ pretty_xsymbs xsymbs @
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        pretty_const const @ pretty_pri pri);
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  in
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    writeln (string_of_strings "lexicon:" (literals_of prods));
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    writeln (Pretty.string_of (Pretty.blk (2,
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      separate (Pretty.brk 1) (map Pretty.str ("roots:" :: roots)))));
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    writeln (string_of_big_list "prods:" (map pretty_prod prods))
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  end;
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val print_gram = prt_gram o xgram_of;
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(* print_trans *)
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fun prt_trans (XGram xgram) =
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  let
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    fun string_of_trs name trs = string_of_strings name (map fst trs);
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    fun string_of_rules name rules =
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      string_of_big_list name (map pretty_rule rules);
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    val {consts, parse_ast_translation, parse_rules, parse_translation,
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      print_translation, print_rules, print_ast_translation, ...} = xgram;
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  in
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    writeln (string_of_strings "consts:" consts);
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    writeln (string_of_trs "parse_ast_translation:" parse_ast_translation);
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    writeln (string_of_rules "parse_rules:" parse_rules);
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    writeln (string_of_trs "parse_translation:" parse_translation);
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    writeln (string_of_trs "print_translation:" print_translation);
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    writeln (string_of_rules "print_rules:" print_rules);
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    writeln (string_of_trs "print_ast_translation:" print_ast_translation)
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  end;
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val print_trans = prt_trans o xgram_of;
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(* print_syntax *)
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fun print_syntax syn =
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  let
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    val xgram = xgram_of syn;
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  in
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    prt_gram xgram; prt_trans xgram
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  end;
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(*** parsing and printing ***)
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(* mk_get_rules *)
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fun mk_get_rules ruletab =
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  let
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    fun get_rules a =
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      (case lookup ruletab a of
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        Some rules => rules
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      | None => []);
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  in
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    if Symtab.is_null ruletab then None else Some get_rules
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  end;
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(* read_ast *)
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fun read_ast (Syntax (_, tabs)) xids root str =
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  let
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    val Tabs {lexicon, gram, parse_ast_trtab, ...} = tabs;
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  in
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    pt_to_ast (lookup parse_ast_trtab)
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      (parse gram root (tokenize lexicon xids str))
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  end;
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(** test_read **)
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fun test_read (Syntax (_, tabs)) root str =
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  let
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    val Tabs {lexicon, gram, parse_ast_trtab, parse_ruletab, ...} = tabs;
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    val toks = tokenize lexicon false str;
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    val _ = writeln ("tokens: " ^ space_implode " " (map display_token toks));
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    val pt = parse gram root toks;
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    val raw_ast = pt_to_ast (K None) pt;
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    val _ = writeln ("raw: " ^ str_of_ast raw_ast);
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    val pre_ast = pt_to_ast (lookup parse_ast_trtab) pt;
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    val _ = normalize true true (mk_get_rules parse_ruletab) pre_ast;
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  in () end;
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(** read **)
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fun read (syn as Syntax (_, tabs)) ty str =
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  let
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    val Tabs {parse_ruletab, parse_trtab, ...} = tabs;
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    val ast = read_ast syn false (typ_to_nonterm ty) str;
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  in
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    ast_to_term (lookup parse_trtab)
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      (normalize_ast (mk_get_rules parse_ruletab) ast)
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  end;
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(** read_rule **)
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fun read_rule syn (xrule as ((_, lhs_src), (_, rhs_src))) =
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  let
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    val Syntax (_, Tabs {consts, ...}) = syn;
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    fun constantify (ast as Constant _) = ast
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      | constantify (ast as Variable x) =
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          if x mem consts then Constant x else ast
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      | constantify (Appl asts) = Appl (map constantify asts);
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    fun read_pat (root, str) =
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      constantify (read_ast syn true root str)
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        handle ERROR => error ("The error above occurred in " ^ quote str);
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    val rule as (lhs, rhs) = (pairself read_pat) xrule;
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  in
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    (case rule_error rule of
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      Some msg =>
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        error ("Error in syntax translation rule: " ^ msg ^
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          "\nexternal: " ^ quote lhs_src ^ "  ->  " ^ quote rhs_src ^
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          "\ninternal: " ^ str_of_ast lhs ^ "  ->  " ^ str_of_ast rhs)
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    | None => rule)
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  end;
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(** read_xrules **)
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fun read_xrules syn xrules =
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  let
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    fun right_rule (xpat1 |-> xpat2) = Some (xpat1, xpat2)
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      | right_rule (xpat1 <-| xpat2) = None
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      | right_rule (xpat1 <-> xpat2) = Some (xpat1, xpat2);
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    fun left_rule (xpat1 |-> xpat2) = None
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      | left_rule (xpat1 <-| xpat2) = Some (xpat2, xpat1)
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      | left_rule (xpat1 <-> xpat2) = Some (xpat2, xpat1);
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  in
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    (map (read_rule syn) (mapfilter right_rule xrules),
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     map (read_rule syn) (mapfilter left_rule xrules))
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  end;
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(** pretty terms or typs **)
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fun pretty_t t_to_ast pretty_t (syn as Syntax (_, tabs)) t =
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  let
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    val Tabs {print_trtab, print_ruletab, prtab, ...} = tabs;
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    val ast = t_to_ast (lookup print_trtab) t;
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  in
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    pretty_t prtab (normalize_ast (mk_get_rules print_ruletab) ast)
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  end;
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val pretty_term = pretty_t term_to_ast pretty_term_ast;
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val pretty_typ = pretty_t typ_to_ast pretty_typ_ast;
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fun string_of_term syn t = Pretty.string_of (pretty_term syn t);
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fun string_of_typ syn ty = Pretty.string_of (pretty_typ syn ty);
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(*** build syntax ***)
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(* type_syn *)
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val type_syn = make_syntax (ref (ExtGG (ref EmptyGG, (type_ext, empty_synrules))));
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(** extend **)
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fun extend (old_syn as Syntax (ggr, _), def_sort) (roots, xconsts, sext) =
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  let
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    fun read_typ s = typ_of_term def_sort (read old_syn typeT s);
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    val ext = ext_of_sext roots xconsts read_typ sext;
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    val (tmp_syn as Syntax (_, tmp_tabs)) =
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      make_syntax (ref (ExtGG (ggr, (ext, empty_synrules))));
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    val (parse_rules, print_rules) = read_xrules tmp_syn (xrules_of sext);
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    val rules =
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      SynRules {
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        parse_rules = parse_rules,
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        print_rules = print_rules};
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  in
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    Syntax (ref (ExtGG (ggr, (ext, rules))), add_synrules tmp_tabs rules)
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  end;
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(* merge *)
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fun merge (Syntax (ggr1, _), Syntax (ggr2, _)) =
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  make_syntax (ref (MergeGG (ggr1, ggr2)));
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end;
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