src/Pure/Tools/xml_syntax.ML
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(*  Title:      Pure/Tools/xml_syntax.ML
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    Author:     Stefan Berghofer, TU Muenchen
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Input and output of types, terms, and proofs in XML format.
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See isabelle.xsd for a description of the syntax.
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*)
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signature XML_SYNTAX =
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sig
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  val xml_of_type: typ -> XML.tree
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  val xml_of_term: term -> XML.tree
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  val xml_of_proof: Proofterm.proof -> XML.tree
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  val write_to_file: Path.T -> string -> XML.tree -> unit
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  exception XML of string * XML.tree
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  val type_of_xml: XML.tree -> typ
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  val term_of_xml: XML.tree -> term
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  val proof_of_xml: XML.tree -> Proofterm.proof
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end;
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structure XMLSyntax : XML_SYNTAX =
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struct
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(**** XML output ****)
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fun xml_of_class name = XML.Elem ("class", [("name", name)], []);
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fun xml_of_type (TVar ((s, i), S)) = XML.Elem ("TVar",
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      ("name", s) :: (if i=0 then [] else [("index", string_of_int i)]),
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      map xml_of_class S)
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  | xml_of_type (TFree (s, S)) =
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      XML.Elem ("TFree", [("name", s)], map xml_of_class S)
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  | xml_of_type (Type (s, Ts)) =
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      XML.Elem ("Type", [("name", s)], map xml_of_type Ts);
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fun xml_of_term (Bound i) =
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      XML.Elem ("Bound", [("index", string_of_int i)], [])
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  | xml_of_term (Free (s, T)) =
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      XML.Elem ("Free", [("name", s)], [xml_of_type T])
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  | xml_of_term (Var ((s, i), T)) = XML.Elem ("Var",
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      ("name", s) :: (if i=0 then [] else [("index", string_of_int i)]),
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      [xml_of_type T])
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  | xml_of_term (Const (s, T)) =
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      XML.Elem ("Const", [("name", s)], [xml_of_type T])
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  | xml_of_term (t $ u) =
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      XML.Elem ("App", [], [xml_of_term t, xml_of_term u])
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  | xml_of_term (Abs (s, T, t)) =
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      XML.Elem ("Abs", [("vname", s)], [xml_of_type T, xml_of_term t]);
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fun xml_of_opttypes NONE = []
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  | xml_of_opttypes (SOME Ts) = [XML.Elem ("types", [], map xml_of_type Ts)];
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(* FIXME: the t argument of PThm and PAxm is actually redundant, since *)
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(* it can be looked up in the theorem database. Thus, it could be      *)
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(* omitted from the xml representation.                                *)
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fun xml_of_proof (PBound i) =
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      XML.Elem ("PBound", [("index", string_of_int i)], [])
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  | xml_of_proof (Abst (s, optT, prf)) =
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      XML.Elem ("Abst", [("vname", s)],
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        (case optT of NONE => [] | SOME T => [xml_of_type T]) @
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        [xml_of_proof prf])
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  | xml_of_proof (AbsP (s, optt, prf)) =
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      XML.Elem ("AbsP", [("vname", s)],
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        (case optt of NONE => [] | SOME t => [xml_of_term t]) @
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        [xml_of_proof prf])
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  | xml_of_proof (prf % optt) =
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      XML.Elem ("Appt", [],
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        xml_of_proof prf ::
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        (case optt of NONE => [] | SOME t => [xml_of_term t]))
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  | xml_of_proof (prf %% prf') =
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      XML.Elem ("AppP", [], [xml_of_proof prf, xml_of_proof prf'])
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  | xml_of_proof (Hyp t) = XML.Elem ("Hyp", [], [xml_of_term t])
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  | xml_of_proof (PThm (_, ((s, t, optTs), _))) =
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      XML.Elem ("PThm", [("name", s)], xml_of_term t :: xml_of_opttypes optTs)
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  | xml_of_proof (PAxm (s, t, optTs)) =
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      XML.Elem ("PAxm", [("name", s)], xml_of_term t :: xml_of_opttypes optTs)
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  | xml_of_proof (Oracle (s, t, optTs)) =
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      XML.Elem ("Oracle", [("name", s)], xml_of_term t :: xml_of_opttypes optTs)
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  | xml_of_proof MinProof =
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      XML.Elem ("MinProof", [], []);
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(* useful for checking the output against a schema file *)
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fun write_to_file path elname x =
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  File.write path
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    ("<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n" ^
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     XML.string_of (XML.Elem (elname,
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       [("xmlns:xsi", "http://www.w3.org/2001/XMLSchema-instance"),
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        ("xsi:noNamespaceSchemaLocation", "isabelle.xsd")],
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       [x])));
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(**** XML input ****)
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exception XML of string * XML.tree;
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fun class_of_xml (XML.Elem ("class", [("name", name)], [])) = name
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  | class_of_xml tree = raise XML ("class_of_xml: bad tree", tree);
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fun index_of_string s tree idx = (case Int.fromString idx of
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  NONE => raise XML (s ^ ": bad index", tree) | SOME i => i);
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fun type_of_xml (tree as XML.Elem ("TVar", atts, classes)) = TVar
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      ((case Properties.get atts "name" of
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          NONE => raise XML ("type_of_xml: name of TVar missing", tree)
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        | SOME name => name,
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        the_default 0 (Option.map (index_of_string "type_of_xml" tree)
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          (Properties.get atts "index"))),
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       map class_of_xml classes)
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  | type_of_xml (XML.Elem ("TFree", [("name", s)], classes)) =
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      TFree (s, map class_of_xml classes)
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  | type_of_xml (XML.Elem ("Type", [("name", s)], types)) =
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      Type (s, map type_of_xml types)
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  | type_of_xml tree = raise XML ("type_of_xml: bad tree", tree);
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fun term_of_xml (tree as XML.Elem ("Bound", [("index", idx)], [])) =
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      Bound (index_of_string "bad variable index" tree idx)
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  | term_of_xml (XML.Elem ("Free", [("name", s)], [typ])) =
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      Free (s, type_of_xml typ)
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  | term_of_xml (tree as XML.Elem ("Var", atts, [typ])) = Var
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      ((case Properties.get atts "name" of
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          NONE => raise XML ("type_of_xml: name of Var missing", tree)
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        | SOME name => name,
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        the_default 0 (Option.map (index_of_string "term_of_xml" tree)
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          (Properties.get atts "index"))),
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       type_of_xml typ)
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  | term_of_xml (XML.Elem ("Const", [("name", s)], [typ])) =
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      Const (s, type_of_xml typ)
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  | term_of_xml (XML.Elem ("App", [], [term, term'])) =
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      term_of_xml term $ term_of_xml term'
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  | term_of_xml (XML.Elem ("Abs", [("vname", s)], [typ, term])) =
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      Abs (s, type_of_xml typ, term_of_xml term)
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  | term_of_xml tree = raise XML ("term_of_xml: bad tree", tree);
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fun opttypes_of_xml [] = NONE
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  | opttypes_of_xml [XML.Elem ("types", [], types)] =
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      SOME (map type_of_xml types)
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  | opttypes_of_xml (tree :: _) = raise XML ("opttypes_of_xml: bad tree", tree);
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fun proof_of_xml (tree as XML.Elem ("PBound", [("index", idx)], [])) =
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      PBound (index_of_string "proof_of_xml" tree idx)
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  | proof_of_xml (XML.Elem ("Abst", [("vname", s)], [proof])) =
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      Abst (s, NONE, proof_of_xml proof)
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  | proof_of_xml (XML.Elem ("Abst", [("vname", s)], [typ, proof])) =
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      Abst (s, SOME (type_of_xml typ), proof_of_xml proof)
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  | proof_of_xml (XML.Elem ("AbsP", [("vname", s)], [proof])) =
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      AbsP (s, NONE, proof_of_xml proof)
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  | proof_of_xml (XML.Elem ("AbsP", [("vname", s)], [term, proof])) =
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      AbsP (s, SOME (term_of_xml term), proof_of_xml proof)
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  | proof_of_xml (XML.Elem ("Appt", [], [proof])) =
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      proof_of_xml proof % NONE
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  | proof_of_xml (XML.Elem ("Appt", [], [proof, term])) =
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      proof_of_xml proof % SOME (term_of_xml term)
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  | proof_of_xml (XML.Elem ("AppP", [], [proof, proof'])) =
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      proof_of_xml proof %% proof_of_xml proof'
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  | proof_of_xml (XML.Elem ("Hyp", [], [term])) =
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      Hyp (term_of_xml term)
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  | proof_of_xml (XML.Elem ("PThm", [("name", s)], term :: opttypes)) =
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      (* FIXME? *)
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      PThm (serial (), ((s, term_of_xml term, opttypes_of_xml opttypes),
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        Future.value (Proofterm.make_proof_body MinProof)))
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  | proof_of_xml (XML.Elem ("PAxm", [("name", s)], term :: opttypes)) =
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      PAxm (s, term_of_xml term, opttypes_of_xml opttypes)
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  | proof_of_xml (XML.Elem ("Oracle", [("name", s)], term :: opttypes)) =
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      Oracle (s, term_of_xml term, opttypes_of_xml opttypes)
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  | proof_of_xml (XML.Elem ("MinProof", _, _)) = MinProof
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  | proof_of_xml tree = raise XML ("proof_of_xml: bad tree", tree);
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end;