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.{ OWLObjectProperty, OWLObjectPropertyExpression, OWLSubClassOfAxiom } 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 scala.collection.mutable.Set 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 { /* Retrieve individuals in the original ontology */ lazy val individuals: List[IRI] = { ontology .getIndividualsInSignature() .asScala .map(_.getIRI) .map(RDFoxUtil.owlapi2rdfox) .toList } private val roles: Set[OWLObjectPropertyExpression] = { ontology .rboxAxioms(Imports.INCLUDED) .collect(Collectors.toSet()) .asScala .flatMap(_.objectPropertyExpressionsInSignature) } // OWLAPI reasoner for same easier tasks private val reasoner = (new StructuralReasonerFactory()).createReasoner(ontology) /* 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 */ lazy val 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 = this.unsafeRoles /* 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( RSA.getFreshVariable(), unsafe, SkolemStrategy.ConstantRSA(axiom.toString), RSASuffix.None ) 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, "[?X,?Y] :- [?X,?Y], [?X], [?Y] ." ) /* Add built-in rules */ // data.importData( // UpdateType.ADDITION, // RSA.Prefixes, // "[?entity, a, ?superClass] :- [?entity, a, ?class], [?class, rdfs:subClassOf, ?superClass] ." // ) /* Add ontology rules */ data.addRules(datalog.asJava) /* Build graph */ val graph = this.rsaGraph(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 } lazy val unsafeRoles: List[OWLObjectPropertyExpression] = { 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 (unsafe1 ++ unsafe2).toList } lazy val canonicalModel: List[Rule] = { // Compute program to generate canonical model val tbox = ontology .tboxAxioms(Imports.INCLUDED) .collect(Collectors.toList()) .asScala .toList val rbox = ontology .rboxAxioms(Imports.INCLUDED) .collect(Collectors.toList()) .asScala .toList val axioms = tbox ++ rbox val varX = Variable.create("X") val visitor = ProgramGenerator(ontology, varX) val facts = ProgramGenerator.NIs(individuals) val rules1 = ProgramGenerator.generateRoleRules( axioms .flatMap( _.objectPropertiesInSignature.collect(Collectors.toSet()).asScala ) .toSet ) val rules2 = axioms.flatMap(_.accept(visitor)) rules1 ++ rules2 // Call RDFox to generate the canonical model } private def rsaGraph( 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 filteringProgram(query: Query): List[Rule] = FilteringProgram(query, individuals).rules // TODO: the following functions needs testing def confl( role: OWLObjectPropertyExpression ): Set[OWLObjectPropertyExpression] = { val invSuperRoles = reasoner .superObjectProperties(role) .collect(Collectors.toSet()) .asScala .addOne(role) .map(_.getInverseProperty) roles.filter( reasoner .superObjectProperties(_) .collect(Collectors.toSet()) .asScala .intersect(invSuperRoles) .nonEmpty ) } private def self(axiom: OWLSubClassOfAxiom): Set[Term] = { // Assuming just one role in the signature of a T5 axiom val role = axiom.objectPropertyExpressionsInSignature(0) if (this.confl(role).contains(role)) { Set( RSA.internal("v0_" ++ axiom.hashCode.toString()), RSA.internal("v1_" ++ axiom.hashCode.toString()) ) } else { Set() } } // TODO: this implementation is not correct when taking into // account equality. def cycle(axiom: OWLSubClassOfAxiom): Set[Term] = { // Assuming just one role in the signature of a T5 axiom val roleR = axiom.objectPropertyExpressionsInSignature(0) val conflR = this.confl(roleR) // We just need the TBox to find val tbox = ontology .tboxAxioms(Imports.INCLUDED) .collect(Collectors.toSet()) .asScala for { axiom1 <- tbox if axiom1.isT5 roleS <- axiom1.objectPropertyExpressionsInSignature // Just 1 if conflR.contains(roleS) individual = if (axiom.hashCode < axiom1.hashCode) { RSA.internal("v0_" ++ axiom1.hashCode.toString()) } else { RSA.internal("v1_" ++ axiom1.hashCode.toString()) } } yield individual } def unfold(axiom: OWLSubClassOfAxiom): Set[Term] = this.self(axiom) | this.cycle(axiom) } // implicit class RSAOntology } // trait RSAOntology