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package rsacomb
/* Java imports */
import java.util.HashMap
import java.util.stream.{Collectors, Stream}
import org.semanticweb.owlapi.model.OWLOntology
import org.semanticweb.owlapi.model.OWLObjectPropertyExpression
import org.semanticweb.owlapi.model.parameters.Imports
import org.semanticweb.owlapi.reasoner.structural.StructuralReasonerFactory
import tech.oxfordsemantic.jrdfox.client.{UpdateType, DataStoreConnection}
import tech.oxfordsemantic.jrdfox.logic.{Resource, Rule, Atom, Variable, IRI}
/* Scala imports */
import scala.collection.JavaConverters._
import scalax.collection.immutable.Graph
import scalax.collection.GraphEdge.UnDiEdge
/* Debug only */
import org.semanticweb.owlapi.dlsyntax.renderer.DLSyntaxObjectRenderer
import tech.oxfordsemantic.jrdfox.logic._
/* Wrapper trait for the implicit class `RSAOntology`.
*/
trait RSAOntology {
/* Implements additional features to reason about RSA ontologies
* on top of `OWLOntology` from the OWLAPI.
*/
implicit class RSAOntology(ontology: OWLOntology) extends RSAAxiom {
/* Steps for RSA check
* 1) convert ontology axioms into LP rules
* 2) call RDFox on the onto and compute materialization
* 3) build graph from E(x,y) facts
* 4) check if the graph is tree-like
* ideally this annotates the graph with info about the reasons
* why the ontology might not be RSA. This could help a second
* step of approximation of an Horn-ALCHOIQ to RSA
*/
def isRSA: Boolean = {
val tbox = ontology.tboxAxioms(Imports.INCLUDED)
val rbox = ontology.rboxAxioms(Imports.INCLUDED)
val axioms =
Stream
.concat(tbox, rbox)
.collect(Collectors.toList())
.asScala
val unsafe = ontology.getUnsafeRoles
/* DEBUG: print rules in DL syntax and unsafe roles */
val renderer = new DLSyntaxObjectRenderer()
println("\nDL rules:")
axioms.foreach(x => println(renderer.render(x)))
println("\nUnsafe roles:")
println(unsafe)
/* Ontology convertion into LP rules */
val datalog = for {
axiom <- axioms
visitor = new RDFoxAxiomConverter(
Variable.create("x"),
SkolemStrategy.ConstantRSA(axiom.toString),
unsafe
)
rule <- axiom.accept(visitor)
} yield rule
/* DEBUG: print datalog rules */
println("\nDatalog roles:")
datalog.foreach(println)
// Open connection with RDFox
val (server, data) = RDFoxUtil.openConnection("RSACheck")
// Add Data (hardcoded for now)
data.importData(UpdateType.ADDITION, RSA.Prefixes, ":a a :A .")
/* Add built-in rules
*/
data.importData(
UpdateType.ADDITION,
RSA.Prefixes,
"<http://127.0.0.1/E>[?X,?Y] :- <http://127.0.0.1/PE>[?X,?Y], <http://127.0.0.1/U>[?X], <http://127.0.0.1/U>[?Y] ."
)
/* Add ontology rules
*/
data.addRules(datalog.asJava)
/* Build graph
*/
val graph = getRSAGraph(data);
println(graph)
// Close connection to RDFox
RDFoxUtil.closeConnection(server, data)
/* To check if the graph is tree-like we check for acyclicity in a
* undirected graph.
*
* TODO: Implement additional checks (taking into account equality)
*/
graph.isAcyclic
}
def getUnsafeRoles: List[OWLObjectPropertyExpression] = {
// The reasoner is used to check unsafety condition for the ontology roles
val factory = new StructuralReasonerFactory()
val reasoner = factory.createReasoner(ontology)
val tbox = ontology
.tboxAxioms(Imports.INCLUDED)
.collect(Collectors.toSet())
.asScala
/* DEBUG: print rules in DL syntax */
//val renderer = new DLSyntaxObjectRenderer()
/* Checking for (1) unsafety condition:
*
* For all roles r1 appearing in an axiom of type T5, r1 is unsafe
* if there exists a role r2 (different from top) appearing in an axiom
* of type T3 and r1 is a subproperty of the inverse of r2.
*/
val unsafe1 = for {
axiom <- tbox
if axiom.isT5
role1 <- axiom.objectPropertyExpressionsInSignature
roleSuper =
role1 +: reasoner
.superObjectProperties(role1)
.collect(Collectors.toList())
.asScala
roleSuperInv = roleSuper.map(_.getInverseProperty)
axiom <- tbox
if axiom.isT3 && !axiom.isT3top
role2 <- axiom.objectPropertyExpressionsInSignature
if roleSuperInv.contains(role2)
} yield role1
/* Checking for (2) unsafety condition:
*
* For all roles p1 appearing in an axiom of type T5, p1 is unsafe if
* there exists a role p2 appearing in an axiom of type T4 and p1 is a
* subproperty of either p2 or the inverse of p2.
*
*/
val unsafe2 = for {
axiom <- tbox
if axiom.isT5
role1 <- axiom.objectPropertyExpressionsInSignature
roleSuper =
role1 +: reasoner
.superObjectProperties(role1)
.collect(Collectors.toList())
.asScala
roleSuperInv = roleSuper.map(_.getInverseProperty)
axiom <- tbox
if axiom.isT4
role2 <- axiom.objectPropertyExpressionsInSignature
if roleSuper.contains(role2) || roleSuperInv.contains(role2)
} yield role1
/* TODO: We should be able to avoid this last conversion to List.
* Maybe we should just move everything to Sets instead of Lists,
* since they have a more straightforward conversion from Java
* collections.
*/
(unsafe1 ++ unsafe2).toList
}
def getRSAGraph(
data: DataStoreConnection
): Graph[Resource, UnDiEdge] = {
val query = "SELECT ?X ?Y WHERE { ?X internal:E ?Y }"
val cursor =
data.createCursor(RSA.Prefixes, query, new HashMap[String, String]());
var mul = cursor.open()
var edges: List[UnDiEdge[Resource]] = List()
while (mul > 0) {
edges = UnDiEdge(cursor.getResource(0), cursor.getResource(1)) :: edges
mul = cursor.advance()
}
Graph(edges: _*)
}
def getFilteringProgram(query: Query): List[Rule] = {
// Import implicit conversion to RDFox IRI
import RDFoxUtil._
sealed trait Reified;
case class ReifiedHead(bind: BindAtom, atoms: List[Atom]) extends Reified
case class ReifiedBody(atoms: List[Atom]) extends Reified
case class Unaltered(formula: BodyFormula) extends Reified
def getBindAtom(atom: Atom): BindAtom = {
// TODO: We need to implement another way to introduce fresh
// variables.
val varA = Variable.create("A")
val name =
Literal.create(atom.getTupleTableName.getIRI, Datatype.XSD_STRING)
val args = atom
.getArguments()
.asScala
.toSeq
.prepended(name)
BindAtom.create(
BuiltinFunctionCall
.create("SKOLEM", args: _*),
varA
)
}
def reifyAtom(atom: Atom, variable: Variable): List[Atom] = {
def iri(i: Int) = atom.getTupleTableName().getIRI() ++ s"_$i"
atom
.getArguments()
.asScala
.zipWithIndex
.map { case (t, i) => Atom.rdf(variable, iri(i), t) }
.toList
}
// Is this the best way to determine if an atom is an RDF triple?
// Note that we can't use `getNumberOfArguments()` because is not
// "consistent":
// - for an atom created with `rdf(<term1>, <term2>, <term3>)`,
// `getNumberOfArguments` returns 3
// - for an atom created with `Atom.create(<tupletablename>, <term1>,
// <term2>, <term3>)`, `getNumberOfArguments()` returns 3
//
// This is probably because `Atom.rdf(...) is implemented as:
// ```scala
// def rdf(term1: Term, term2: Term, term3: Term): Atom =
// Atom.create(TupleTableName.create("internal:triple"), term1, term2, term3)
// ```
def isRdfTriple(atom: Atom): Boolean =
atom.getTupleTableName.getIRI.equals("internal:triple")
def reify(
formula: BodyFormula,
head: Boolean
): Reified = {
def default[A <: BodyFormula](x: A) = Unaltered(x)
formula match {
case a: Atom => {
if (!isRdfTriple(a)) {
if (head) {
val b = getBindAtom(a)
ReifiedHead(b, reifyAtom(a, b.getBoundVariable))
} else {
val varA = Variable.create("A")
ReifiedBody(reifyAtom(a, varA))
}
} else {
default(a)
}
}
case a => default(a)
}
}
def skolemizeRule(rule: Rule): Rule = {
// Rule body
val body =
rule.getBody.asScala.map(reify(_, false)).flatMap {
case ReifiedHead(_, _) => List(); /* handle impossible case */
case ReifiedBody(x) => x;
case Unaltered(x) => List(x)
}
// Rule head
val reified = rule.getHead.asScala.map(reify(_, true))
val skols = reified.flatMap {
case ReifiedHead(x, _) => Some(x);
case ReifiedBody(_) => None; /* handle impossible case */
case Unaltered(_) => None
}
val head = reified.flatMap {
case ReifiedHead(_, x) => x;
case ReifiedBody(_) => List(); /* handle impossible case */
case Unaltered(x) =>
List(x.asInstanceOf[Atom]) /* Can we do better that a cast? */
}
Rule.create(head.asJava, (skols ++ body).asJava)
}
def formulaToRuleBody(body: Formula): List[BodyFormula] = {
body match {
case a: BodyFormula => List(a);
case a: Conjunction =>
a.getConjuncts().asScala.toList.flatMap(formulaToRuleBody(_));
case _ => List() /* We don't handle this for now */
}
}
val body = formulaToRuleBody(query.getQueryFormula)
val vars: List[Term] = query.getAnswerVariables.asScala.toList
def id(t1: Term, t2: Term) =
Atom.create(
TupleTableName.create("http://127.0.0.1/ID"),
vars.appendedAll(List(t1, t2)).asJava
)
val qm = Atom.create(TupleTableName.create("QM"), vars.asJava)
/* Filtering program */
val rule1 = Rule.create(qm, body.asJava)
val rule3a =
for ((v, i) <- vars.zipWithIndex)
yield Rule.create(
id(
IRI.create(s"http://127.0.0.1/$i"),
IRI.create(s"http://127.0.0.1/$i")
),
List(
qm,
Negation.create(
Atom.rdf(v, IRI.RDF_TYPE, IRI.create("http://127.0.0.1/NI"))
)
).asJava
)
val rule3b = Rule.create(
id(Variable.create("V"), Variable.create("U")),
id(Variable.create("U"), Variable.create("V"))
)
val rule3c = Rule.create(
id(Variable.create("U"), Variable.create("W")),
List[BodyFormula](
id(Variable.create("U"), Variable.create("V")),
id(Variable.create("V"), Variable.create("W"))
).asJava
)
var rules: List[Rule] =
List.empty
.prepended(rule3c)
.prepended(rule3b)
.prependedAll(rule3a)
.prepended(rule1)
// DEBUG
println("FILTERING PROGRAM:")
rules.map(skolemizeRule(_)).foreach(println(_))
List()
}
} // implicit class RSAOntology
} // trait RSAOntology
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