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Contents |
Shaded constructs are only available in OWL 2.
all OWL individuals | owl:Thing |
empty class | owl:Nothing |
intersection | IntersectionOf(C1 … Cn) | x owl:intersectionOf [ C1 … Cn ]. | Cj an OWL class |
union | UnionOf(C1 … Cn) | x owl:unionOf [ C1 … Cn ]. | Cj an OWL class |
complement | ComplementOf(C) | x owl:complementOf C. | C an OWL class |
enumeration | OneOf(i1 … in) | x owl:oneOf [ i1 … in ]. | ij an OWL individual |
universal | AllValuesFrom(P C) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:allValuesFrom C |
P an object property. C an OWL class |
existential | SomeValuesFrom(P C) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:someValuesFrom C |
P an object property. C an OWL class |
individual value | HasValue(P i) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:hasValue i. |
P an object property. i an individual |
self | ExistsSelf(P) | x rdf:type owl:SelfRestriction. x owl:onProperty P. |
P an object property |
Cardinality Restrictions | |||
exact cardinality | ExactCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:cardinality n. |
P an object property. n a nonNegativeInteger |
maximum cardinality | MaxCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:maxCardinality n. |
P an object property. n a nonNegativeInteger |
minimum cardinality | MinCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:minCardinality n. |
P an object property. n a nonNegativeInteger |
Qualified Cardinality Restrictions | |||
exact cardinality | ExactCardinality(n P C) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:qualifiedCardinality n. x owl:onClass C. |
P an object property. n a nonNegativeInteger . C an OWL class |
maximum cardinality | MaxCardinality(n P C) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:minQualifiedCardinality n. x owl:onClass C. |
P an object property. n a nonNegativeInteger; C an OWL class |
minimum cardinality | MinCardinality(n P C) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:maxQualifiedCardinality n. x owl:onClass C. |
P an object property. n a nonNegativeInteger . C an OWL class |
universal | AllValuesFrom(P D) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:allValuesFrom D. |
P a data property. D a datatype |
existential | SomeValuesFrom(P D) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:someValuesFrom D. |
P a data property. D a datatype |
n-ary universal | AllValuesFrom(P1 … Pn D) | x rdf:type owl:Restriction. x owl:onProperties [ P1 … Pn ]. x owl:allValuesFrom D. |
Pi a data property. D an n-ary datatype |
n-ary existential | SomeValuesFrom(P1 … Pn D) | x rdf:type owl:Restriction. x owl:onProperties [ P1 … Pn]. x owl:someValuesFrom D. |
Pi a data property. D an n-ary datatype |
individual value | HasValue(P v) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:hasValue v. |
P an object property. v a literal |
Cardinality Restrictions | |||
exact cardinality | ExactCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:cardinality n. |
P a data property. n a nonNegativeInteger |
maximum cardinality | MaxCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:maxCardinality n. |
P a data property. n a nonNegativeInteger |
minimum cardinality | MinCardinality(n P) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:minCardinality n. |
P a data property. n a nonNegativeInteger |
Qualified Cardinality Restrictions | |||
exact cardinality | ExactCardinality(n P D) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:qualifiedCardinality n. x owl:onDataRange D. |
P a data property. n a nonNegativeInteger . D a datatype |
maximum cardinality | MaxCardinality(n P D) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:maxQualifiedCardinality n. x owl:onDataRange D. |
P a data property. n a nonNegativeInteger . D a datatype |
minimum cardinality | MinCardinality(n P D) | x rdf:type owl:Restriction. x owl:onProperty P. x owl:minQualifiedCardinality n. x owl:onDataRange D. |
P a data property. n a nonNegativeInteger . D a datatype |
subclasses | SubClassOf(C1 C2) | C1 rdfs:subClassOf C2. | Ci an OWL class |
equivalent classes | EquivalentClasses(C1 C2) | C1 owl:equivalentClass C2. | Ci an OWL class |
disjoint classes | DisjointClasses(C1 C2) | C1 owl:disjointWith C2. | Ci an OWL class |
pairwise disjoint classes | DisjointClasses(C1 … Cn) | x rdf:type owl:AllDisjointClasses. x owl:members [ C1 … Cn ]. |
Ci an OWL class |
disjoint union | DisjointUnionOf(C C1 … Cn) | C owl:disjointUnionOf [ C1 … Cn ]. | C an OWL class. Ci an OWL class |
datatype complement | ComplementOf(D) | x owl:datatypeComplementOf D. | D a datatype |
enumeration | OneOf(v1 … vn) | x owl:oneOf [ v1 … vn ]. | vj a literal |
datatype restriction | DatatypeRestriction(D f1 v1 … fn vn) | x owl:onDatatype D. x owl:withRestrictions [y1 ... yn]. y1 f1 v1. ... yn fn vn. |
fj a constraining facet, vj a restriction value |
universal object property | owl:topObjectProperty | = owl:Thing × owl:Thing | |
bottom object property | owl:bottomObjectProperty | empty binary relation | |
property chain | PropertyChain(P1 … Pn) | x owl:propertyChain [P1 … Pn]. | Pi an object property |
subproperty | SubPropertyOf(P Q) | P rdfs:subPropertyOf Q. | P,Q object properties |
complex subproperty | SubPropertyOf(PropertyChain(P1 … Pn) Q) | x rdfs:subPropertyOf Q. x owl:propertyChain [P1 … Pn]. |
Pi and Q object properties |
property domain | PropertyDomain(P C) | P rdfs:domain C. | P an object property, C an OWL class |
property range | PropertyRange(P C) | P rdfs:range C. | P an object property, C an OWL class |
equivalent properties | EquivalentProperties(P Q) | P owl:equivalentProperty Q. | P,Q object properties |
disjoint properties | DisjointProperties(P Q) | P owl:propertyDisjointWith Q. | P,Q object properties |
pairwise disjoint properties | DisjointProperties(P1 … Pn) | x rdf:type owl:AllDisjointProperties. x owl:members [ P1 … Pn ]. |
Pi an object property |
inverse properties | InverseProperties(P Q) | P owl:inverseOf Q. | P,Q object properties |
functional property | FunctionalProperty(P) | P rdf:type owl:FunctionalProperty. | P an object property s P,o1. s P o2 => o1=o2 |
inverse functional property | InverseFunctionalProperty(P) | P rdf:type owl:InverseFunctionalProperty. | P an object property s1 P,o. s2 P o => s1=s2 |
reflexive property | ReflexiveProperty(P) | P rdf:type owl:ReflexiveProperty. | P an object property for all individual i, i P i |
irreflexive property | IrreflexiveProperty(P) | P rdf:type owl:IrreflexiveProperty. | P an object property i1 p i2 => i1≠i2 |
symmetric property | SymmetricProperty(P) | P rdf:type owl:SymmetricProperty. | P an object property s p o => o p s |
asymmetric property | AsymmetricProperty(P) | P rdf:type owl:AsymmetricProperty. | P an object property s P o => not o P s |
transitive property | TransitiveProperty(P) | P rdf:type owl:TransitiveProperty. | P an object property i1 P i2. i2 P i3 => i1 P i3 |
universal datatype property | owl:topDataProperty | = owl:Thing × rdfs:Literal |
bottom datatype property | owl:bottomDataProperty | empty binary relation |
subproperty | SubPropertyOf(P Q) | P rdfs:subPropertyOf Q. | P,Q datatype properties |
property domain | PropertyDomain(P C) | P rdfs:domain C. | P a datatype property, C an OWL class |
property range | PropertyRange(P C) | P rdfs:range C. | P a datatype property, C a datatype |
equivalent properties | EquivalentProperties(P Q) | P owl:equivalentProperty Q. | P,Q datatype properties |
disjoint properties | DisjointProperties(P Q) | P owl:propertyDisjointWith Q. | P,Q datatype properties |
pairwise disjoint properties | DisjointProperties(P1 … Pn) | x rdf:type owl:AllDisjointProperties. x owl:members [ P1 … Pn ]. |
Pi a datatype property |
functional property | FunctionalProperty(P) | P rdf:type owl:FunctionalProperty. | P a datatype property s P,v1. s P v2 => v1=v2 |
Keys | HasKey(C P1 … Pn) | C owl:hasKey [P1 … Pn]. | C an OWL class, Pi an object property or datatype
property x Pi zi. y Pi zi, for i => x=y |
individual equality | SameIndividual(a1,a2) | a1 owl:sameAs a2. | a1,a2 individuals |
individual equality | SameIndividual(a1 … an) | ai owl:sameAs ai+1. i=1…n-1 |
ai an individual |
individual inequality | DifferentIndividuals(a1 a2) | a1 owl:differentFrom a2. | a1,a2 individuals |
pairwise individual inequality | DifferentIndividuals(a1 … an) | x rdf:type owl:AllDifferent. x owl:members [a1 … an]. |
ai an individual |
class assertion | ClassAssertion(C a) | a rdf:type C. | a an individual, C an OWL class |
positive object property assertion | PropertyAssertion( P a1 a2 ) | a1 P a2. | P an object property, ai an individual |
negative object property assertion | NegativePropertyAssertion(P a1 a2 ) | x rdf:type owl:NegativePropertyAssertion. x owl:sourceIndividual a1. x owl:assertionProperty P. x owl:targetIndividual a2 |
P an object property, ai an individual |
negative datatype property assertion | NegativePropertyAssertion(P a1 a2 ) | x rdf:type owl:NegativePropertyAssertion. x owl:sourceIndividual a1. x owl:assertionProperty P. x owl:targetValue a2 |
P a datatype property, a1 an individual, a2 a literal |
concise N3 syntax | [a1 … an] |
triple-based N3 syntax | x1 rdf:type rdf:List. x1 rdf:first a1. x1 rdf:rest x2. … xn rdf:type rdf:List. xn rdf:first an. xn rdf:rest rdf:nil. |
class | Declaration( Class( x ) ) | x rdf:type owl:Class. |
datatype | Declaration( Datatype( x ) ) | x rdf:type rdfs:Datatype. |
object property | Declaration( ObjectProperty( x ) ) | x rdf:type owl:ObjectProperty. |
datatype property | Declaration( DataProperty( x ) ) | x rdf:type owl:DatatypeProperty. |
annotation property | Declaration( AnnotationProperty( x ) ) | x rdf:type owl:AnnotationProperty. |
named individual | Declaration( NamedIndividual( x ) ) | x rdf:type owl:NamedIndividual. |
axioms | s p o | x rdf:type owl:Axiom. x owl:subject s. x owl:predicate p. x owl:object o. |
s the subject, p the predicate, o the object of the triple. |
annotations | Annotation( P v) | x rdf:type owl:Annotation. x owl:subject y. x owl:predicate P. x owl:object v. |
y the annotated resource P annotation property v a resource. |
annotations | Annotation( P v) | y P v. | y the annotated resource P annotation property v a resource |
human-readable name | Label | rdfs:label |
human-readable description | Comment | rdfs:comment |
additional information | rdfs:seeAlso | |
defining agent | rdfs:isDefinedBy | |
deprecation | Deprecated | owl:deprecated |
annotation subproperties | SubPropertyOf(P Q) | P rdfs:subPropertyOf Q. | P,Q annotation properties |
annotation property domain | PropertyDomain(P U) | P rdfs:domain U. | P an annotation property, U a URI |
annotation property range | PropertyRange(P U) | P rdfs:range U. | P an annotation property, U a URI |
deprecated class | C Deprecated | C rdf:type owl:DeprecatedClass. | C an OWL class or a datatype |
deprecated property | P Deprecated | P rdf:type owl:DeprecatedProperty. | P an object property, datatype property or annotation property. |
OWL ontology | Ontology (O V) | O rdf:type owl:Ontology. O owl:versionInfo V. |
O a URI; V a URI (optional) |
Ontology Properties owl:OntologyProperty | |||
importing | O Import(U) | O owl:imports U. | O an ontology, U an ontology URI |
backwards compatibility | O owl:backwardCompatibleWith U. | O an ontology, U an ontology URI | |
incompatibility | O owl:incompatibleWith U. | O an ontology, U an ontology URI | |
prior version | O owl:priorVersion U. | O an ontology, U an ontology URI |
owl:DataRange | replaced by rdfs:Datatype |
owl:distinctMembers | replaced by owl:members |
owl:realPlus | the set of all real numbers plus +INF(positive infinity), -INF(negative infinity), -0(negative zero), NaN (not-a-number) |
owl:real | the set of all real numbers |
xsd:double | xsd:nonNegativeInteger | xsd:long | xsd:unsignedLong |
xsd:float | xsd:nonPositiveInteger | xsd:int | xsd:unsignedInt |
xsd:decimal | xsd:positiveInteger | xsd:short | xsd:unsignedShort |
xsd:integer | xsd:negativeInteger | xsd:byte | xsd:unsignedByte |
rdf:text | internationalized strings |
xsd:string | xsd:NCName |
xsd:normalizedString | xsd:NMTOKEN |
xsd:token | xsd:language |
xsd:Name |
xsd:Boolean | value space has only two values: true and false |
xsd:base64Binary |
xsd:hexBinary |
xsd:anyURI |
owl:dateTime | value space is set of numbers that represent
difference between the time instant and the first time instant of the
1st |
xsd:date | xsd:gDay | xsd:gYear |
xsd:dateTime | xsd:gMonth | xsd:gYearMonth |
xsd:duration | xsd:gMonthDay | xsd:time |
rdf:XMLLiteral |
The facet space is a set of pairs of the form < f v >, where f is a URI called a constraining facet, and v is a value. Each such pair is mapped to a subset of the value space of the datatype.
Notations:
Facet f | Datatype | Value v | Explanation |
xsd:minInclusive, xsd:maxInclusive, xsd:minExclusive, xsd:maxExclusive |
Numeric Datatype DT, owl:dateTime DT |
Literal in DT | Restricts the value-space to greater than (equal to) or lesser than (equal to) a value |
xsd:minLength, xsd:maxLength, xsd:length |
String Datatype, Binary Datatype, xsd:anyURI |
Nonnegative integer | Restricts the value-space based on the lengths of the literals |
xsd:pattern | String Datatype, xsd:anyURI |
xsd:string literal whose value is a regular expression | Restricts the value space to literals that match the regular expression |
rdf:langPattern | rdf:text | xsd:string literal whose value is a regular expression | Restricts the value space to literals with language tags that match the regular expression |
Standard Namespaces and Prefixes used in OWL 2