src/Pure/Thy/export_theory.scala
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/*  Title:      Pure/Thy/export_theory.scala
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    Author:     Makarius
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Export foundational theory content.
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*/
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package isabelle
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object Export_Theory
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{
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  /** session content **/
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  sealed case class Session(name: String, theory_graph: Graph[String, Theory])
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  {
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    override def toString: String = name
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    def theory(theory_name: String): Theory =
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      if (theory_graph.defined(theory_name)) theory_graph.get_node(theory_name)
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      else error("Bad theory " + quote(theory_name))
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    def theories: List[Theory] =
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      theory_graph.topological_order.map(theory_graph.get_node(_))
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  }
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  def read_session(store: Sessions.Store,
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    session_name: String,
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    types: Boolean = true,
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    consts: Boolean = true,
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    axioms: Boolean = true,
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    facts: Boolean = true,
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    classes: Boolean = true,
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    typedefs: Boolean = true,
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    classrel: Boolean = true,
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    arities: Boolean = true,
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    cache: Term.Cache = Term.make_cache()): Session =
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  {
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    val thys =
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      using(store.open_database(session_name))(db =>
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      {
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        db.transaction {
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          Export.read_theory_names(db, session_name).map((theory_name: String) =>
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            read_theory(db, session_name, theory_name, types = types, consts = consts,
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              axioms = axioms, facts = facts, classes = classes, typedefs = typedefs,
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              cache = Some(cache)))
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        }
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      })
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    val graph0 =
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      (Graph.string[Theory] /: thys) { case (g, thy) => g.new_node(thy.name, thy) }
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    val graph1 =
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      (graph0 /: thys) { case (g0, thy) =>
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        (g0 /: thy.parents) { case (g1, parent) =>
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          g1.default_node(parent, empty_theory(parent)).add_edge_acyclic(parent, thy.name) } }
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    Session(session_name, graph1)
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  }
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  /** theory content **/
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  val export_prefix: String = "theory/"
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  sealed case class Theory(name: String, parents: List[String],
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    types: List[Type],
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    consts: List[Const],
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    axioms: List[Axiom],
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    facts: List[Fact],
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    classes: List[Class],
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    typedefs: List[Typedef],
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    classrel: List[Classrel],
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    arities: List[Arity])
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  {
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    override def toString: String = name
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    def cache(cache: Term.Cache): Theory =
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      Theory(cache.string(name),
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        parents.map(cache.string(_)),
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        types.map(_.cache(cache)),
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        consts.map(_.cache(cache)),
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        axioms.map(_.cache(cache)),
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        facts.map(_.cache(cache)),
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        classes.map(_.cache(cache)),
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        typedefs.map(_.cache(cache)),
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        classrel.map(_.cache(cache)),
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        arities.map(_.cache(cache)))
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  }
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  def empty_theory(name: String): Theory =
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    Theory(name, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil, Nil)
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  def read_theory(db: SQL.Database, session_name: String, theory_name: String,
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    types: Boolean = true,
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    consts: Boolean = true,
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    axioms: Boolean = true,
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    facts: Boolean = true,
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    classes: Boolean = true,
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    typedefs: Boolean = true,
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    classrel: Boolean = true,
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    arities: Boolean = true,
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    cache: Option[Term.Cache] = None): Theory =
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  {
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    val parents =
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      Export.read_entry(db, session_name, theory_name, export_prefix + "parents") match {
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        case Some(entry) => split_lines(entry.uncompressed().text)
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        case None =>
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          error("Missing theory export in session " + quote(session_name) + ": " +
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            quote(theory_name))
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      }
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    val theory =
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      Theory(theory_name, parents,
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        if (types) read_types(db, session_name, theory_name) else Nil,
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        if (consts) read_consts(db, session_name, theory_name) else Nil,
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        if (axioms) read_axioms(db, session_name, theory_name) else Nil,
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        if (facts) read_facts(db, session_name, theory_name) else Nil,
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        if (classes) read_classes(db, session_name, theory_name) else Nil,
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        if (typedefs) read_typedefs(db, session_name, theory_name) else Nil,
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        if (classrel) read_classrel(db, session_name, theory_name) else Nil,
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        if (arities) read_arities(db, session_name, theory_name) else Nil)
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    if (cache.isDefined) theory.cache(cache.get) else theory
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  }
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  /* entities */
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  sealed case class Entity(name: String, serial: Long, pos: Position.T)
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  {
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    override def toString: String = name
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    def cache(cache: Term.Cache): Entity =
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      Entity(cache.string(name), serial, cache.position(pos))
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  }
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  def decode_entity(tree: XML.Tree): (Entity, XML.Body) =
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  {
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    def err(): Nothing = throw new XML.XML_Body(List(tree))
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    tree match {
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      case XML.Elem(Markup(Markup.ENTITY, props), body) =>
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        val name = Markup.Name.unapply(props) getOrElse err()
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        val serial = Markup.Serial.unapply(props) getOrElse err()
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        val pos = props.filter({ case (a, _) => Markup.POSITION_PROPERTIES(a) })
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        (Entity(name, serial, pos), body)
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      case _ => err()
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    }
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  }
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  def read_export[A](db: SQL.Database, session_name: String, theory_name: String,
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    export_name: String, decode: XML.Body => List[A]): List[A] =
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  {
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    Export.read_entry(db, session_name, theory_name, export_prefix + export_name) match {
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      case Some(entry) => decode(entry.uncompressed_yxml())
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      case None => Nil
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    }
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  }
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  def read_entities[A](db: SQL.Database, session_name: String, theory_name: String,
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    export_name: String, decode: XML.Tree => A): List[A] =
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  {
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    read_export(db, session_name, theory_name, export_name,
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      (body: XML.Body) => body.map(decode(_)))
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  }
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  /* types */
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  sealed case class Type(entity: Entity, args: List[String], abbrev: Option[Term.Typ])
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  {
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    def cache(cache: Term.Cache): Type =
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      Type(entity.cache(cache),
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        args.map(cache.string(_)),
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        abbrev.map(cache.typ(_)))
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  }
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  def read_types(db: SQL.Database, session_name: String, theory_name: String): List[Type] =
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    read_entities(db, session_name, theory_name, "types",
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      (tree: XML.Tree) =>
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        {
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          val (entity, body) = decode_entity(tree)
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          val (args, abbrev) =
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          {
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            import XML.Decode._
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            pair(list(string), option(Term_XML.Decode.typ))(body)
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          }
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          Type(entity, args, abbrev)
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        })
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  /* consts */
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  sealed case class Const(
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    entity: Entity, typargs: List[String], typ: Term.Typ, abbrev: Option[Term.Term])
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  {
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    def cache(cache: Term.Cache): Const =
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      Const(entity.cache(cache),
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        typargs.map(cache.string(_)),
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        cache.typ(typ),
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        abbrev.map(cache.term(_)))
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  }
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  def read_consts(db: SQL.Database, session_name: String, theory_name: String): List[Const] =
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    read_entities(db, session_name, theory_name, "consts",
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      (tree: XML.Tree) =>
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        {
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          val (entity, body) = decode_entity(tree)
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          val (args, typ, abbrev) =
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          {
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            import XML.Decode._
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            triple(list(string), Term_XML.Decode.typ, option(Term_XML.Decode.term))(body)
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          }
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          Const(entity, args, typ, abbrev)
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        })
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  /* axioms and facts */
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  def decode_props(body: XML.Body):
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    (List[(String, Term.Sort)], List[(String, Term.Typ)], List[Term.Term]) =
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  {
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    import XML.Decode._
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    import Term_XML.Decode._
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    triple(list(pair(string, sort)), list(pair(string, typ)), list(term))(body)
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  }
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  sealed case class Axiom(
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    entity: Entity,
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    typargs: List[(String, Term.Sort)],
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    args: List[(String, Term.Typ)],
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    prop: Term.Term)
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  {
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    def cache(cache: Term.Cache): Axiom =
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      Axiom(entity.cache(cache),
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        typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
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        args.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
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        cache.term(prop))
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  }
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  def read_axioms(db: SQL.Database, session_name: String, theory_name: String): List[Axiom] =
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    read_entities(db, session_name, theory_name, "axioms",
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      (tree: XML.Tree) =>
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        {
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          val (entity, body) = decode_entity(tree)
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          val (typargs, args, List(prop)) = decode_props(body)
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          Axiom(entity, typargs, args, prop)
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        })
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  sealed case class Fact(
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    entity: Entity,
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    typargs: List[(String, Term.Sort)],
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    args: List[(String, Term.Typ)],
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    props: List[Term.Term])
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  {
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    def cache(cache: Term.Cache): Fact =
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      Fact(entity.cache(cache),
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        typargs.map({ case (name, sort) => (cache.string(name), cache.sort(sort)) }),
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        args.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
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        props.map(cache.term(_)))
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  }
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  def read_facts(db: SQL.Database, session_name: String, theory_name: String): List[Fact] =
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    read_entities(db, session_name, theory_name, "facts",
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      (tree: XML.Tree) =>
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        {
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          val (entity, body) = decode_entity(tree)
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          val (typargs, args, props) = decode_props(body)
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          Fact(entity, typargs, args, props)
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        })
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  /* type classes */
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  sealed case class Class(
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    entity: Entity, params: List[(String, Term.Typ)], axioms: List[Term.Term])
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  {
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    def cache(cache: Term.Cache): Class =
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      Class(entity.cache(cache),
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        params.map({ case (name, typ) => (cache.string(name), cache.typ(typ)) }),
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        axioms.map(cache.term(_)))
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  }
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  def read_classes(db: SQL.Database, session_name: String, theory_name: String): List[Class] =
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    read_entities(db, session_name, theory_name, "classes",
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      (tree: XML.Tree) =>
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        {
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          val (entity, body) = decode_entity(tree)
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          val (params, axioms) =
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          {
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            import XML.Decode._
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            import Term_XML.Decode._
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            pair(list(pair(string, typ)), list(term))(body)
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          }
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          Class(entity, params, axioms)
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        })
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  /* sort algebra */
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  sealed case class Classrel(class_name: String, super_names: List[String])
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  {
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    def cache(cache: Term.Cache): Classrel =
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      Classrel(cache.string(class_name), super_names.map(cache.string(_)))
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  }
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  def read_classrel(db: SQL.Database, session_name: String, theory_name: String): List[Classrel] =
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    read_export(db, session_name, theory_name, "classrel",
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      (body: XML.Body) =>
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        {
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          val classrel =
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          {
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            import XML.Decode._
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            list(pair(string, list(string)))(body)
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          }
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          for ((c, cs) <- classrel) yield Classrel(c, cs)
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        })
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  sealed case class Arity(type_name: String, domain: List[Term.Sort], codomain: String)
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  {
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    def cache(cache: Term.Cache): Arity =
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      Arity(cache.string(type_name), domain.map(cache.sort(_)), cache.string(codomain))
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  }
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  def read_arities(db: SQL.Database, session_name: String, theory_name: String): List[Arity] =
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    read_export(db, session_name, theory_name, "arities",
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      (body: XML.Body) =>
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        {
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          val arities =
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          {
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            import XML.Decode._
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            import Term_XML.Decode._
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            list(triple(string, list(sort), string))(body)
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          }
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          for ((a, b, c) <- arities) yield Arity(a, b, c)
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        })
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  /* HOL typedefs */
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  sealed case class Typedef(name: String,
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    rep_type: Term.Typ, abs_type: Term.Typ, rep_name: String, abs_name: String, axiom_name: String)
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  {
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    def cache(cache: Term.Cache): Typedef =
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      Typedef(cache.string(name),
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        cache.typ(rep_type),
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        cache.typ(abs_type),
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        cache.string(rep_name),
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        cache.string(abs_name),
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        cache.string(axiom_name))
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  }
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  def read_typedefs(db: SQL.Database, session_name: String, theory_name: String): List[Typedef] =
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    read_export(db, session_name, theory_name, "typedefs",
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      (body: XML.Body) =>
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        {
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          val typedefs =
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          {
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            import XML.Decode._
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            import Term_XML.Decode._
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            list(pair(string, pair(typ, pair(typ, pair(string, pair(string, string))))))(body)
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          }
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          for { (name, (rep_type, (abs_type, (rep_name, (abs_name, axiom_name))))) <- typedefs }
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          yield Typedef(name, rep_type, abs_type, rep_name, abs_name, axiom_name)
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        })
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}