src/Pure/sign.ML
author clasohm
Fri Mar 03 11:48:05 1995 +0100 (1995-03-03)
changeset 922 196ca0973a6d
parent 901 77795af99315
child 926 9d1348498c36
permissions -rw-r--r--
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
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(*  Title:      Pure/sign.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson and Markus Wenzel
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The abstract type "sg" of signatures.
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*)
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signature SIGN =
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sig
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  structure Symtab: SYMTAB
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  structure Syntax: SYNTAX
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  structure Type: TYPE
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  sharing Symtab = Type.Symtab
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  local open Type Syntax in
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    type sg
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    val rep_sg: sg ->
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      {tsig: type_sig,
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       const_tab: typ Symtab.table,
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       syn: syntax,
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       stamps: string ref list}
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    val subsig: sg * sg -> bool
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    val eq_sg: sg * sg -> bool
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    val is_draft: sg -> bool
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    val const_type: sg -> string -> typ option
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    val classes: sg -> class list
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    val subsort: sg -> sort * sort -> bool
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    val norm_sort: sg -> sort -> sort
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    val print_sg: sg -> unit
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    val pretty_sg: sg -> Pretty.T
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    val pprint_sg: sg -> pprint_args -> unit
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    val pretty_term: sg -> term -> Pretty.T
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    val pretty_typ: sg -> typ -> Pretty.T
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    val pretty_sort: sort -> Pretty.T
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    val string_of_term: sg -> term -> string
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    val string_of_typ: sg -> typ -> string
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    val pprint_term: sg -> term -> pprint_args -> unit
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    val pprint_typ: sg -> typ -> pprint_args -> unit
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    val certify_typ: sg -> typ -> typ
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    val certify_term: sg -> term -> term * typ * int
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    val read_typ: sg * (indexname -> sort option) -> string -> typ
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    val infer_types: sg -> (indexname -> typ option) ->
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      (indexname -> sort option) -> bool -> term list * typ ->
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      int * term * (indexname * typ) list
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    val add_classes: (class * class list) list -> sg -> sg
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    val add_classrel: (class * class) list -> sg -> sg
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    val add_defsort: sort -> sg -> sg
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    val add_types: (string * int * mixfix) list -> sg -> sg
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    val add_tyabbrs: (string * string list * string * mixfix) list -> sg -> sg
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    val add_tyabbrs_i: (string * string list * typ * mixfix) list -> sg -> sg
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    val add_arities: (string * sort list * sort) list -> sg -> sg
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    val add_consts: (string * string * mixfix) list -> sg -> sg
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    val add_consts_i: (string * typ * mixfix) list -> sg -> sg
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    val add_syntax: (string * string * mixfix) list -> sg -> sg
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    val add_syntax_i: (string * typ * mixfix) list -> sg -> sg
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    val add_trfuns:
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      (string * (ast list -> 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 list -> ast)) list -> sg -> sg
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    val add_trrules: xrule list -> sg -> sg
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    val add_name: string -> sg -> sg
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    val make_draft: sg -> sg
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    val merge: sg * sg -> sg
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    val proto_pure: sg
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    val pure: sg
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    val cpure: sg
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    val const_of_class: class -> string
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    val class_of_const: string -> class
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  end
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end;
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functor SignFun(structure Syntax: SYNTAX and Type: TYPE): SIGN =
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struct
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structure Symtab = Type.Symtab;
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structure Syntax = Syntax;
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structure BasicSyntax: BASIC_SYNTAX = Syntax;
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structure Pretty = Syntax.Pretty;
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structure Type = Type;
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open BasicSyntax Type;
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(** datatype sg **)
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(*the "ref" in stamps ensures that no two signatures are identical -- it is
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  impossible to forge a signature*)
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datatype sg =
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  Sg of {
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    tsig: type_sig,                 (*order-sorted signature of types*)
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    const_tab: typ Symtab.table,    (*types of constants*)
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    syn: Syntax.syntax,             (*syntax for parsing and printing*)
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    stamps: string ref list};       (*unique theory indentifier*)
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fun rep_sg (Sg args) = args;
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val tsig_of = #tsig o rep_sg;
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(* stamps *)
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fun is_draft (Sg {stamps = ref "#" :: _, ...}) = true
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  | is_draft _ = false;
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fun subsig (Sg {stamps = s1, ...}, Sg {stamps = s2, ...}) = s1 subset s2;
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fun eq_sg (Sg {stamps = s1, ...}, Sg {stamps = s2, ...}) = eq_set (s1, s2);
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(* consts *)
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fun const_type (Sg {const_tab, ...}) c =
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  Symtab.lookup (const_tab, c);
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(* classes and sorts *)
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val classes = #classes o Type.rep_tsig o tsig_of;
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val subsort = Type.subsort o tsig_of;
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val norm_sort = Type.norm_sort o tsig_of;
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fun pretty_sort [c] = Pretty.str c
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  | pretty_sort cs = Pretty.str_list "{" "}" cs;
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(** print signature **)
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val stamp_names = rev o map !;
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fun print_sg sg =
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  let
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    fun prt_typ syn ty = Pretty.quote (Syntax.pretty_typ syn ty);
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    fun pretty_subclass (cl, cls) = Pretty.block
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      [Pretty.str (cl ^ " <"), Pretty.brk 1, pretty_sort cls];
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    fun pretty_default cls = Pretty.block
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      [Pretty.str "default:", Pretty.brk 1, pretty_sort cls];
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    fun pretty_arg (ty, n) = Pretty.str (ty ^ " " ^ string_of_int n);
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    fun pretty_abbr syn (ty, (vs, rhs)) = Pretty.block
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      [prt_typ syn (Type (ty, map (fn v => TVar ((v, 0), [])) vs)),
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        Pretty.str " =", Pretty.brk 1, prt_typ syn rhs];
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    fun pretty_arity ty (cl, []) = Pretty.block
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          [Pretty.str (ty ^ " ::"), Pretty.brk 1, Pretty.str cl]
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      | pretty_arity ty (cl, srts) = Pretty.block
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          [Pretty.str (ty ^ " ::"), Pretty.brk 1,
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            Pretty.list "(" ")" (map pretty_sort srts),
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            Pretty.brk 1, Pretty.str cl];
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    fun pretty_coreg (ty, ars) = map (pretty_arity ty) ars;
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    fun pretty_const syn (c, ty) = Pretty.block
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      [Pretty.str (quote c ^ " ::"), Pretty.brk 1, prt_typ syn ty];
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    val Sg {tsig, const_tab, syn, stamps} = sg;
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    val {classes, subclass, default, args, abbrs, coreg} = rep_tsig tsig;
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  in
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    Pretty.writeln (Pretty.strs ("stamps:" :: stamp_names stamps));
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    Pretty.writeln (Pretty.strs ("classes:" :: classes));
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    Pretty.writeln (Pretty.big_list "subclass:" (map pretty_subclass subclass));
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    Pretty.writeln (pretty_default default);
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    Pretty.writeln (Pretty.big_list "types:" (map pretty_arg args));
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    Pretty.writeln (Pretty.big_list "abbrs:" (map (pretty_abbr syn) abbrs));
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    Pretty.writeln (Pretty.big_list "coreg:" (flat (map pretty_coreg coreg)));
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    Pretty.writeln (Pretty.big_list "consts:"
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      (map (pretty_const syn) (Symtab.dest const_tab)))
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  end;
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fun pretty_sg (Sg {stamps, ...}) =
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  Pretty.str_list "{" "}" (stamp_names stamps);
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val pprint_sg = Pretty.pprint o pretty_sg;
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(** pretty printing of terms and types **)
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fun pretty_term (Sg {syn, stamps, ...}) =
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  let val curried = "CPure" mem (map ! stamps);
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  in Syntax.pretty_term curried syn end;
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fun pretty_typ (Sg {syn, ...}) = Syntax.pretty_typ syn;
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fun string_of_term (Sg {syn, stamps, ...}) = 
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  let val curried = "CPure" mem (map ! stamps);
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  in Syntax.string_of_term curried syn end;
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fun string_of_typ (Sg {syn, ...}) = Syntax.string_of_typ syn;
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fun pprint_term sg = Pretty.pprint o Pretty.quote o (pretty_term sg);
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fun pprint_typ sg = Pretty.pprint o Pretty.quote o (pretty_typ sg);
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(** read types **)  (*exception ERROR*)
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fun err_in_type s =
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  error ("The error(s) above occurred in type " ^ quote s);
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fun read_raw_typ syn tsig sort_of str =
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  Syntax.read_typ syn (fn x => if_none (sort_of x) (defaultS tsig)) str
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    handle ERROR => err_in_type str;
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(*read and certify typ wrt a signature*)
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fun read_typ (Sg {tsig, syn, ...}, sort_of) str =
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  cert_typ tsig (read_raw_typ syn tsig sort_of str)
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    handle TYPE (msg, _, _) => (writeln msg; err_in_type str);
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(** certify types and terms **)   (*exception TYPE*)
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fun certify_typ (Sg {tsig, ...}) ty = cert_typ tsig ty;
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fun mapfilt_atoms f (Abs (_, _, t)) = mapfilt_atoms f t
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  | mapfilt_atoms f (t $ u) = mapfilt_atoms f t @ mapfilt_atoms f u
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  | mapfilt_atoms f a = (case f a of Some y => [y] | None => []);
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fun certify_term (sg as Sg {tsig, ...}) tm =
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  let
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    fun valid_const a T =
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      (case const_type sg a of
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        Some U => typ_instance (tsig, T, U)
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      | _ => false);
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    fun atom_err (Const (a, T)) =
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          if valid_const a T then None
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          else Some ("Illegal type for constant " ^ quote a ^ " :: " ^
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            quote (string_of_typ sg T))
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      | atom_err (Var ((x, i), _)) =
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          if i < 0 then Some ("Negative index for Var " ^ quote x) else None
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      | atom_err _ = None;
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    val norm_tm =
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      (case it_term_types (typ_errors tsig) (tm, []) of
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        [] => map_term_types (norm_typ tsig) tm
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      | errs => raise_type (cat_lines errs) [] [tm]);
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  in
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    (case mapfilt_atoms atom_err norm_tm of
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      [] => (norm_tm, type_of norm_tm, maxidx_of_term norm_tm)
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    | errs => raise_type (cat_lines errs) [] [norm_tm])
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  end;
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(** infer_types **)         (*exception ERROR*)
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fun infer_types sg types sorts print_msg (ts, T) =
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  let
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    val Sg {tsig, ...} = sg;
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    val show_typ = string_of_typ sg;
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    val show_term = string_of_term sg;
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    fun term_err [] = ""
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      | term_err [t] = "\nInvolving this term:\n" ^ show_term t
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      | term_err ts = 
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          "\nInvolving these terms:\n" ^ cat_lines (map show_term ts);
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    fun exn_type_msg (msg, Ts, ts) =
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	msg ^ "\nType checking error: " ^ msg ^ "\n" ^
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	cat_lines (map show_typ Ts) ^ term_err ts ^ "\n";
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    val T' = certify_typ sg T
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      handle TYPE arg => error (exn_type_msg arg);
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    val ct = const_type sg;
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    fun process_terms (t::ts) (idx, infrd_t, tye) msg n =
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         let fun mk_some (x, y) = (Some x, Some y);
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             val ((infrd_t', tye'), msg') = 
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              (mk_some (Type.infer_types (tsig, ct, types, sorts, T', t)), msg)
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              handle TYPE arg => ((None, None), exn_type_msg arg)
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             val old_show_brackets = !show_brackets;
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             val _ = (show_brackets := true);
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             val msg'' = 
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               if is_none idx then (if is_none infrd_t' then msg' else "")
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               else if is_none infrd_t' then "" 
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               else (if msg' = "" then 
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                "Error: More than one term is type correct:\n" ^
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                (show_term (the infrd_t)) else msg') ^ "\n" ^ 
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                (show_term (the infrd_t')) ^ "\n";
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             val _ = (show_brackets := old_show_brackets);
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         in if is_none infrd_t' then
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              process_terms ts (idx, infrd_t, tye) msg'' (n+1)
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            else
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              process_terms ts (Some n, infrd_t', tye') msg'' (n+1)
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         end
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      | process_terms [] (idx, infrd_t, tye) msg _ = 
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          if msg = "" then (the idx, the infrd_t, the tye) 
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          else
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            (if length ts > 1 andalso length ts <= !Syntax.ambiguity_level then
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                                                      (*no warning shown yet?*)
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               writeln "Warning: Currently parsed input \
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                       \produces more than one parse tree.\n\
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                       \For more information lower Syntax.ambiguity_level."
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             else ();
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             error msg)
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    val (idx, infrd_t, tye) = process_terms ts (None, None, None) "" 0;
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  in if print_msg andalso length ts > !Syntax.ambiguity_level then
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       writeln "Fortunately, only one parse tree is type correct.\n\
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         \It helps (speed!) if you disambiguate your grammar or your input."
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     else ();
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     (idx, infrd_t, tye)
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  end;
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(** extend signature **)    (*exception ERROR*)
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(** signature extension functions **)  (*exception ERROR*)
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fun decls_of name_of mfixs =
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  map (fn (x, y, mx) => (name_of x mx, y)) mfixs;
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(* add default sort *)
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fun ext_defsort (syn, tsig, ctab) defsort =
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  (syn, ext_tsig_defsort tsig defsort, ctab);
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(* add type constructors *)
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fun ext_types (syn, tsig, ctab) types =
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  (Syntax.extend_type_gram syn types,
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    ext_tsig_types tsig (decls_of Syntax.type_name types),
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    ctab);
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(* add type abbreviations *)
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fun read_abbr syn tsig (t, vs, rhs_src) =
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  (t, vs, read_raw_typ syn tsig (K None) rhs_src)
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    handle ERROR => error ("in type abbreviation " ^ t);
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fun ext_abbrs rd_abbr (syn, tsig, ctab) abbrs =
wenzelm@386
   350
  let
wenzelm@386
   351
    fun mfix_of (t, vs, _, mx) = (t, length vs, mx);
wenzelm@386
   352
    val syn1 = Syntax.extend_type_gram syn (map mfix_of abbrs);
wenzelm@386
   353
wenzelm@386
   354
    fun decl_of (t, vs, rhs, mx) =
wenzelm@562
   355
      rd_abbr syn1 tsig (Syntax.type_name t mx, vs, rhs);
wenzelm@386
   356
  in
wenzelm@386
   357
    (syn1, ext_tsig_abbrs tsig (map decl_of abbrs), ctab)
wenzelm@386
   358
  end;
wenzelm@386
   359
wenzelm@386
   360
val ext_tyabbrs_i = ext_abbrs (K (K I));
wenzelm@386
   361
val ext_tyabbrs = ext_abbrs read_abbr;
wenzelm@386
   362
wenzelm@386
   363
wenzelm@386
   364
(* add type arities *)
wenzelm@386
   365
wenzelm@386
   366
fun ext_arities (syn, tsig, ctab) arities =
wenzelm@386
   367
  let
wenzelm@386
   368
    val tsig1 = ext_tsig_arities tsig arities;
wenzelm@386
   369
    val log_types = logical_types tsig1;
wenzelm@386
   370
  in
wenzelm@386
   371
    (Syntax.extend_log_types syn log_types, tsig1, ctab)
wenzelm@386
   372
  end;
wenzelm@386
   373
wenzelm@386
   374
wenzelm@386
   375
(* add term constants and syntax *)
wenzelm@386
   376
wenzelm@386
   377
fun err_in_const c =
wenzelm@386
   378
  error ("in declaration of constant " ^ quote c);
wenzelm@386
   379
wenzelm@386
   380
fun err_dup_consts cs =
wenzelm@386
   381
  error ("Duplicate declaration of constant(s) " ^ commas_quote cs);
wenzelm@386
   382
wenzelm@251
   383
wenzelm@386
   384
fun read_const syn tsig (c, ty_src, mx) =
wenzelm@386
   385
  (c, read_raw_typ syn tsig (K None) ty_src, mx)
wenzelm@562
   386
    handle ERROR => err_in_const (Syntax.const_name c mx);
wenzelm@386
   387
wenzelm@386
   388
fun ext_cnsts rd_const syn_only (syn, tsig, ctab) raw_consts =
wenzelm@386
   389
  let
wenzelm@620
   390
    fun prep_const (c, ty, mx) = (c, varifyT (cert_typ tsig (no_tvars ty)), mx)
wenzelm@562
   391
      handle TYPE (msg, _, _) => (writeln msg; err_in_const (Syntax.const_name c mx));
wenzelm@386
   392
wenzelm@386
   393
    val consts = map (prep_const o rd_const syn tsig) raw_consts;
wenzelm@386
   394
    val decls =
wenzelm@386
   395
      if syn_only then []
wenzelm@562
   396
      else filter_out (equal "" o fst) (decls_of Syntax.const_name consts);
wenzelm@386
   397
  in
wenzelm@386
   398
    (Syntax.extend_const_gram syn consts, tsig,
wenzelm@386
   399
      Symtab.extend_new (ctab, decls)
wenzelm@386
   400
        handle Symtab.DUPS cs => err_dup_consts cs)
wenzelm@386
   401
  end;
wenzelm@386
   402
wenzelm@386
   403
val ext_consts_i = ext_cnsts (K (K I)) false;
wenzelm@386
   404
val ext_consts = ext_cnsts read_const false;
wenzelm@386
   405
val ext_syntax_i = ext_cnsts (K (K I)) true;
wenzelm@386
   406
val ext_syntax = ext_cnsts read_const true;
wenzelm@386
   407
wenzelm@386
   408
wenzelm@386
   409
(* add type classes *)
wenzelm@386
   410
wenzelm@386
   411
fun const_of_class c = c ^ "_class";
wenzelm@386
   412
wenzelm@386
   413
fun class_of_const c_class =
wenzelm@386
   414
  let
wenzelm@386
   415
    val c = implode (take (size c_class - 6, explode c_class));
wenzelm@386
   416
  in
wenzelm@386
   417
    if const_of_class c = c_class then c
wenzelm@386
   418
    else raise_term ("class_of_const: bad name " ^ quote c_class) []
wenzelm@386
   419
  end;
wenzelm@386
   420
wenzelm@386
   421
wenzelm@386
   422
fun ext_classes (syn, tsig, ctab) classes =
wenzelm@386
   423
  let
wenzelm@562
   424
    val names = map fst classes;
wenzelm@386
   425
    val consts =
wenzelm@386
   426
      map (fn c => (const_of_class c, a_itselfT --> propT, NoSyn)) names;
wenzelm@386
   427
  in
wenzelm@386
   428
    ext_consts_i
wenzelm@386
   429
      (Syntax.extend_consts syn names, ext_tsig_classes tsig classes, ctab)
wenzelm@386
   430
      consts
wenzelm@386
   431
  end;
wenzelm@386
   432
wenzelm@386
   433
wenzelm@421
   434
(* add to subclass relation *)
wenzelm@421
   435
wenzelm@421
   436
fun ext_classrel (syn, tsig, ctab) pairs =
wenzelm@421
   437
  (syn, ext_tsig_subclass tsig pairs, ctab);
wenzelm@421
   438
wenzelm@421
   439
wenzelm@386
   440
(* add syntactic translations *)
wenzelm@386
   441
wenzelm@386
   442
fun ext_trfuns (syn, tsig, ctab) trfuns =
wenzelm@386
   443
  (Syntax.extend_trfuns syn trfuns, tsig, ctab);
wenzelm@386
   444
wenzelm@386
   445
fun ext_trrules (syn, tsig, ctab) xrules =
clasohm@865
   446
  (Syntax.extend_trrules syn xrules, tsig, ctab);
wenzelm@386
   447
wenzelm@386
   448
wenzelm@386
   449
(* build signature *)
wenzelm@386
   450
wenzelm@386
   451
fun ext_stamps stamps name =
wenzelm@386
   452
  let
wenzelm@386
   453
    val stmps = (case stamps of ref "#" :: ss => ss | ss => ss);
wenzelm@386
   454
  in
wenzelm@386
   455
    if exists (equal name o !) stmps then
wenzelm@386
   456
      error ("Theory already contains a " ^ quote name ^ " component")
wenzelm@402
   457
    else ref name :: stmps
wenzelm@386
   458
  end;
wenzelm@386
   459
wenzelm@386
   460
fun make_sign (syn, tsig, ctab) stamps name =
wenzelm@386
   461
  Sg {tsig = tsig, const_tab = ctab, syn = syn,
wenzelm@386
   462
    stamps = ext_stamps stamps name};
wenzelm@386
   463
wenzelm@386
   464
fun extend_sign extfun name decls (Sg {tsig, const_tab, syn, stamps}) =
wenzelm@386
   465
  make_sign (extfun (syn, tsig, const_tab) decls) stamps name;
wenzelm@386
   466
wenzelm@386
   467
wenzelm@386
   468
(* the external interfaces *)
wenzelm@386
   469
wenzelm@386
   470
val add_classes   = extend_sign ext_classes "#";
wenzelm@421
   471
val add_classrel  = extend_sign ext_classrel "#";
wenzelm@386
   472
val add_defsort   = extend_sign ext_defsort "#";
wenzelm@386
   473
val add_types     = extend_sign ext_types "#";
wenzelm@386
   474
val add_tyabbrs   = extend_sign ext_tyabbrs "#";
wenzelm@386
   475
val add_tyabbrs_i = extend_sign ext_tyabbrs_i "#";
wenzelm@386
   476
val add_arities   = extend_sign ext_arities "#";
wenzelm@386
   477
val add_consts    = extend_sign ext_consts "#";
wenzelm@386
   478
val add_consts_i  = extend_sign ext_consts_i "#";
wenzelm@386
   479
val add_syntax    = extend_sign ext_syntax "#";
wenzelm@386
   480
val add_syntax_i  = extend_sign ext_syntax_i "#";
wenzelm@386
   481
val add_trfuns    = extend_sign ext_trfuns "#";
wenzelm@386
   482
val add_trrules   = extend_sign ext_trrules "#";
wenzelm@386
   483
wenzelm@386
   484
fun add_name name sg = extend_sign K name () sg;
wenzelm@386
   485
val make_draft = add_name "#";
wenzelm@386
   486
wenzelm@386
   487
wenzelm@386
   488
wenzelm@620
   489
(** merge signatures **)    (*exception TERM*) (*exception ERROR (* FIXME *)*)
wenzelm@143
   490
wenzelm@251
   491
fun merge (sg1, sg2) =
wenzelm@251
   492
  if subsig (sg2, sg1) then sg1
wenzelm@251
   493
  else if subsig (sg1, sg2) then sg2
wenzelm@386
   494
  else if is_draft sg1 orelse is_draft sg2 then
wenzelm@386
   495
    raise_term "Illegal merge of draft signatures" []
wenzelm@251
   496
  else
wenzelm@251
   497
    (*neither is union already; must form union*)
wenzelm@251
   498
    let
wenzelm@251
   499
      val Sg {tsig = tsig1, const_tab = const_tab1, syn = syn1,
wenzelm@251
   500
        stamps = stamps1} = sg1;
wenzelm@251
   501
      val Sg {tsig = tsig2, const_tab = const_tab2, syn = syn2,
wenzelm@251
   502
        stamps = stamps2} = sg2;
wenzelm@251
   503
wenzelm@386
   504
wenzelm@402
   505
      val stamps = merge_rev_lists stamps1 stamps2;
wenzelm@402
   506
      val _ =
wenzelm@402
   507
        (case duplicates (stamp_names stamps) of
wenzelm@402
   508
          [] => ()
wenzelm@402
   509
        | dups => raise_term ("Attempt to merge different versions of theories "
wenzelm@402
   510
            ^ commas_quote dups) []);
wenzelm@402
   511
wenzelm@251
   512
      val tsig = merge_tsigs (tsig1, tsig2);
wenzelm@251
   513
wenzelm@251
   514
      val const_tab = Symtab.merge (op =) (const_tab1, const_tab2)
wenzelm@386
   515
        handle Symtab.DUPS cs =>
wenzelm@386
   516
          raise_term ("Incompatible types for constant(s) " ^ commas_quote cs) [];
wenzelm@386
   517
wenzelm@386
   518
      val syn = Syntax.merge_syntaxes syn1 syn2;
wenzelm@251
   519
    in
wenzelm@251
   520
      Sg {tsig = tsig, const_tab = const_tab, syn = syn, stamps = stamps}
wenzelm@251
   521
    end;
wenzelm@143
   522
clasohm@0
   523
clasohm@0
   524
wenzelm@251
   525
(** the Pure signature **)
clasohm@0
   526
clasohm@922
   527
val proto_pure =
clasohm@763
   528
  make_sign (Syntax.pure_syn, tsig0, Symtab.null) [] "#"
wenzelm@410
   529
  |> add_types
wenzelm@386
   530
   (("fun", 2, NoSyn) ::
wenzelm@386
   531
    ("prop", 0, NoSyn) ::
wenzelm@386
   532
    ("itself", 1, NoSyn) ::
wenzelm@562
   533
    Syntax.pure_types)
wenzelm@562
   534
  |> add_classes [(logicC, [])]
wenzelm@410
   535
  |> add_defsort logicS
wenzelm@410
   536
  |> add_arities
wenzelm@386
   537
   [("fun", [logicS, logicS], logicS),
wenzelm@386
   538
    ("prop", [], logicS),
wenzelm@386
   539
    ("itself", [logicS], logicS)]
wenzelm@562
   540
  |> add_syntax Syntax.pure_syntax
wenzelm@410
   541
  |> add_trfuns Syntax.pure_trfuns
wenzelm@410
   542
  |> add_consts
wenzelm@386
   543
   [("==", "['a::{}, 'a] => prop", Mixfix ("(_ ==/ _)", [3, 2], 2)),
wenzelm@386
   544
    ("=?=", "['a::{}, 'a] => prop", Mixfix ("(_ =?=/ _)", [3, 2], 2)),
wenzelm@386
   545
    ("==>", "[prop, prop] => prop", Mixfix ("(_ ==>/ _)", [2, 1], 1)),
clasohm@865
   546
    ("all", "('a => prop) => prop", Binder ("!!", 0, 0)),
wenzelm@573
   547
    ("TYPE", "'a itself", NoSyn)]
clasohm@922
   548
  |> add_name "ProtoPure";
clasohm@922
   549
clasohm@922
   550
val pure = proto_pure
clasohm@922
   551
  |> add_syntax
clasohm@922
   552
   [("_appl",     "[('b => 'a), args] => logic",    Mixfix ("(1_/(1'(_')))",
clasohm@922
   553
                                                    [max_pri, 0], max_pri)),
clasohm@922
   554
    ("_appl",     "[('b => 'a), args] => aprop",    Mixfix ("(1_/(1'(_')))",
clasohm@922
   555
                                                    [max_pri, 0], max_pri))]
wenzelm@410
   556
  |> add_name "Pure";
clasohm@0
   557
clasohm@922
   558
val cpure = proto_pure
clasohm@922
   559
  |> add_syntax
clasohm@922
   560
   [("_applC",     "[('b => 'a), 'c] => logic",     Mixfix ("(1_ (1_))",
clasohm@922
   561
                                                    [max_pri-1, max_pri],
clasohm@922
   562
                                                    max_pri-1)),
clasohm@922
   563
    ("_applC",     "[('b => 'a), 'c] => aprop",     Mixfix ("(1_ (1_))",
clasohm@922
   564
                                                    [max_pri-1, max_pri],
clasohm@922
   565
                                                    max_pri-1))]
clasohm@922
   566
  |> add_name "CPure";
clasohm@0
   567
clasohm@0
   568
end;