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628 lines (508 loc) · 23.5 KB
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<?xml version="1.0"?>
<!DOCTYPE rdf:RDF [
<!ENTITY owl "http://www.w3.org/2002/07/owl#" >
<!ENTITY dc "http://purl.org/dc/elements/1.1/" >
<!ENTITY xsd "http://www.w3.org/2001/XMLSchema#" >
<!ENTITY skos "http://www.w3.org/2004/02/skos/core#" >
<!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
<!ENTITY rdf "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
<!ENTITY Graph "http://www.cs.teilar.gr/ontologies/Graph.owl#" >
]>
<rdf:RDF xmlns="http://www.cs.teilar.gr/ontologies/Graph.owl#"
xml:base="http://www.cs.teilar.gr/ontologies/Graph.owl"
xmlns:Graph="http://www.cs.teilar.gr/ontologies/Graph.owl#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:skos="http://www.w3.org/2004/02/skos/core#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:dc="http://purl.org/dc/elements/1.1/">
<owl:Ontology rdf:about="http://www.cs.teilar.gr/ontologies/Graph.owl">
<dc:date rdf:datatype="&xsd;date">January 11, 2011</dc:date>
<dc:creator rdf:datatype="&xsd;string">Takis Hartonas</dc:creator>
<rdfs:comment rdf:datatype="&xsd;string">This is an elementary base ontology for graphs, to be used as an import in subsequent work on ontological specifications of CROP Learning Objects and Learning Domains.
In the context of the intended use, the trivial single-node, no-edge graph is of significance and we are then forced to separate this notion here.</rdfs:comment>
</owl:Ontology>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Object Properties
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#fromNode -->
<owl:ObjectProperty rdf:about="&Graph;fromNode">
<rdf:type rdf:resource="&owl;FunctionalProperty"/>
<rdfs:domain rdf:resource="&Graph;Edge"/>
<owl:inverseOf rdf:resource="&Graph;isStartOf"/>
<rdfs:range>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;TopGroup"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;TopNode"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:unionOf>
</owl:Class>
</rdfs:range>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#hasEdge -->
<owl:ObjectProperty rdf:about="&Graph;hasEdge">
<rdfs:range rdf:resource="&Graph;Edge"/>
<owl:inverseOf rdf:resource="&Graph;isEdgeOf"/>
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;NonUnitGraph"/>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#hasLeafNode -->
<owl:ObjectProperty rdf:about="&Graph;hasLeafNode">
<rdfs:range>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;LeafGroup"/>
<rdf:Description rdf:about="&Graph;LeafNode"/>
</owl:unionOf>
</owl:Class>
</rdfs:range>
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Graph"/>
<rdf:Description rdf:about="&Graph;Group"/>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#hasNode -->
<owl:ObjectProperty rdf:about="&Graph;hasNode">
<owl:inverseOf rdf:resource="&Graph;isNodeOf"/>
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Graph"/>
<rdf:Description rdf:about="&Graph;Group"/>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
<rdfs:range>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:unionOf>
</owl:Class>
</rdfs:range>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#hasSubGraph -->
<owl:ObjectProperty rdf:about="&Graph;hasSubGraph"/>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#hasTopNode -->
<owl:ObjectProperty rdf:about="&Graph;hasTopNode">
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Graph"/>
<rdf:Description rdf:about="&Graph;Group"/>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
<rdfs:range>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;TopGroup"/>
<rdf:Description rdf:about="&Graph;TopNode"/>
</owl:unionOf>
</owl:Class>
</rdfs:range>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#isEdgeOf -->
<owl:ObjectProperty rdf:about="&Graph;isEdgeOf"/>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#isEndOf -->
<owl:ObjectProperty rdf:about="&Graph;isEndOf">
<rdfs:range rdf:resource="&Graph;Edge"/>
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;LeafGroup"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;LeafNode"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#isNodeOf -->
<owl:ObjectProperty rdf:about="&Graph;isNodeOf"/>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#isStartOf -->
<owl:ObjectProperty rdf:about="&Graph;isStartOf">
<rdfs:range rdf:resource="&Graph;Edge"/>
<rdfs:domain>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;TopGroup"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;TopNode"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:unionOf>
</owl:Class>
</rdfs:domain>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#isSubGraphOf -->
<owl:ObjectProperty rdf:about="&Graph;isSubGraphOf">
<owl:inverseOf rdf:resource="&Graph;hasSubGraph"/>
</owl:ObjectProperty>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#toNode -->
<owl:ObjectProperty rdf:about="&Graph;toNode">
<rdf:type rdf:resource="&owl;FunctionalProperty"/>
<rdfs:domain rdf:resource="&Graph;Edge"/>
<owl:inverseOf rdf:resource="&Graph;isEndOf"/>
<rdfs:range>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;LeafGroup"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf rdf:resource="&Graph;LeafNode"/>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:unionOf>
</owl:Class>
</rdfs:range>
</owl:ObjectProperty>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// Classes
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#Edge -->
<owl:Class rdf:about="&Graph;Edge">
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;fromNode"/>
<owl:onClass>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:unionOf>
</owl:Class>
</owl:onClass>
<owl:qualifiedCardinality rdf:datatype="&xsd;nonNegativeInteger">1</owl:qualifiedCardinality>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;toNode"/>
<owl:onClass>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:unionOf>
</owl:Class>
</owl:onClass>
<owl:qualifiedCardinality rdf:datatype="&xsd;nonNegativeInteger">1</owl:qualifiedCardinality>
</owl:Restriction>
</rdfs:subClassOf>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#Graph -->
<owl:Class rdf:about="&Graph;Graph">
<owl:equivalentClass>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;NonUnitGraph"/>
<rdf:Description rdf:about="&Graph;UnitGraph"/>
</owl:unionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasLeafNode"/>
<owl:someValuesFrom>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;LeafGroup"/>
<rdf:Description rdf:about="&Graph;LeafNode"/>
</owl:unionOf>
</owl:Class>
</owl:someValuesFrom>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasTopNode"/>
<owl:onClass>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;TopGroup"/>
<rdf:Description rdf:about="&Graph;TopNode"/>
</owl:unionOf>
</owl:Class>
</owl:onClass>
<owl:qualifiedCardinality rdf:datatype="&xsd;nonNegativeInteger">1</owl:qualifiedCardinality>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasNode"/>
<owl:someValuesFrom>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:unionOf>
</owl:Class>
</owl:someValuesFrom>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:comment rdf:datatype="&xsd;string">The Graph concept classifies directed graphs. The intent is to classify "structured graphs", i.e. graphs with associated entities of some kind or other to their nodes.</rdfs:comment>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#Group -->
<owl:Class rdf:about="&Graph;Group">
<rdfs:subClassOf>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isEndOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isStartOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:unionOf>
</owl:Class>
</rdfs:subClassOf>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasNode"/>
<owl:someValuesFrom>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:unionOf>
</owl:Class>
</owl:someValuesFrom>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:comment>a group of nodes or (recursively) groups where nodes are in parallel or sequence mode</rdfs:comment>
<rdfs:comment>a group does not nesseceraly have one TopNode</rdfs:comment>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#IfFalseEdge -->
<owl:Class rdf:about="&Graph;IfFalseEdge">
<rdfs:subClassOf rdf:resource="&Graph;Edge"/>
<owl:disjointWith rdf:resource="&Graph;IfTrueEdge"/>
<rdfs:comment>For control nodes, where cases true/ false shoulde be expressed</rdfs:comment>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#IfTrueEdge -->
<owl:Class rdf:about="&Graph;IfTrueEdge">
<rdfs:subClassOf rdf:resource="&Graph;Edge"/>
<rdfs:comment>For control nodes, where cases true/ false shoulde be expressed</rdfs:comment>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#LeafGroup -->
<owl:Class rdf:about="&Graph;LeafGroup">
<owl:equivalentClass>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isEndOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:complementOf>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf rdf:resource="&Graph;Group"/>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#LeafNode -->
<owl:Class rdf:about="&Graph;LeafNode">
<owl:equivalentClass>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isEndOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:complementOf>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf rdf:resource="&Graph;Node"/>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#Node -->
<owl:Class rdf:about="&Graph;Node">
<rdfs:subClassOf>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isEndOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isStartOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:unionOf>
</owl:Class>
</rdfs:subClassOf>
<rdfs:comment rdf:datatype="&xsd;string">A structured graph node is a usual graph node, except that it has entities of some kind or other associated to it.</rdfs:comment>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#NonUnitGraph -->
<owl:Class rdf:about="&Graph;NonUnitGraph">
<rdfs:subClassOf rdf:resource="&Graph;Graph"/>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasEdge"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</rdfs:subClassOf>
<owl:disjointWith rdf:resource="&Graph;UnitGraph"/>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#TopGroup -->
<owl:Class rdf:about="&Graph;TopGroup">
<owl:equivalentClass>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Group"/>
<owl:Class>
<owl:complementOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isStartOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:complementOf>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf rdf:resource="&Graph;Group"/>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#TopNode -->
<owl:Class rdf:about="&Graph;TopNode">
<owl:equivalentClass>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Node"/>
<owl:Class>
<owl:complementOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;isStartOf"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:complementOf>
</owl:Class>
</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
<rdfs:subClassOf rdf:resource="&Graph;Node"/>
</owl:Class>
<!-- http://www.cs.teilar.gr/ontologies/Graph.owl#UnitGraph -->
<owl:Class rdf:about="&Graph;UnitGraph">
<rdfs:subClassOf rdf:resource="&Graph;Graph"/>
<rdfs:subClassOf>
<owl:Class>
<owl:complementOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasEdge"/>
<owl:someValuesFrom rdf:resource="&Graph;Edge"/>
</owl:Restriction>
</owl:complementOf>
</owl:Class>
</rdfs:subClassOf>
<rdfs:subClassOf>
<owl:Restriction>
<owl:onProperty rdf:resource="&Graph;hasNode"/>
<owl:onClass>
<owl:Class>
<owl:unionOf rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;TopGroup"/>
<rdf:Description rdf:about="&Graph;TopNode"/>
</owl:unionOf>
</owl:Class>
</owl:onClass>
<owl:qualifiedCardinality rdf:datatype="&xsd;nonNegativeInteger">1</owl:qualifiedCardinality>
</owl:Restriction>
</rdfs:subClassOf>
<rdfs:comment rdf:datatype="&xsd;string">Single-Node, discrete graph.</rdfs:comment>
</owl:Class>
<!-- http://www.w3.org/2002/07/owl#Thing -->
<owl:Class rdf:about="&owl;Thing"/>
<!--
///////////////////////////////////////////////////////////////////////////////////////
//
// General axioms
//
///////////////////////////////////////////////////////////////////////////////////////
-->
<rdf:Description>
<rdf:type rdf:resource="&owl;AllDisjointClasses"/>
<owl:members rdf:parseType="Collection">
<rdf:Description rdf:about="&Graph;Edge"/>
<rdf:Description rdf:about="&Graph;Graph"/>
<rdf:Description rdf:about="&Graph;Group"/>
<rdf:Description rdf:about="&Graph;Node"/>
</owl:members>
</rdf:Description>
</rdf:RDF>
<!-- Generated by the OWL API (version 3.5.0) http://owlapi.sourceforge.net -->