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OWL 2 Web Ontology Language                                                individual value      ObjectHasValue
                                                                                                                     (P a)
                                                                                                                                                  _:x rdf:type owl:Restriction.
                                                                                                                                                  _:x owl:onProperty P.
                                                                                                                                                                                         2.2 Properties

                    Quick Reference Guide                                                                                                         _:x owl:hasValue a.                    Object Property Expressions
                                                                                               local reflexivity     ObjectHasSelf                _:x rdf:type owl:Restriction.             named object property            PN                              PN
                    http://www.w3.org/2007/OWL/refcard                                                               (P)                          _:x owl:onProperty P.                     universal object property        owl:topObjectProperty           owl:topObjectProperty
                                                                                                                                                  _:x owl:hasSelf "true"^^xsd:boolean.      empty object property            owl:bottomObjectProperty        owl:bottomObjectProperty
                                                                                               exact cardinality     ObjectExactCardinality       _:x rdf:type owl:Restriction.
1 Names, Prefixes, and Notation                                                                                      (n P)                        _:x owl:onProperty P.
                                                                                                                                                                                            inverse property                 ObjectInverseOf(PN)             _:x owl:inverseOf PN

                                                                                                                                                  _:x owl:cardinality n.                 Data Property Expressions
Names in OWL 2 are IRIs, often written in a shorthand prefix:localname,
                                                                                               qualified exact       ObjectExactCardinality       _:x rdf:type owl:Restriction.             named data property            R                             R
where prefix: is a prefix name that expands to an IRI, and localname is the remainder of
                                                                                               cardinality           (n P C)                      _:x owl:onProperty P.                     universal data property        owl:topDataProperty           owl:topDataProperty
the name. The prefix names in OWL 2 are:                                                                                                          _:x owl:qualifiedCardinality n.           empty data property            owl:bottomDataProperty        owl:bottomDataProperty
                                                                                                                                                  _:x owl:onClass C.
Prefix Name            Expansion                                                               maximum               ObjectMaxCardinality         _:x rdf:type owl:Restriction.
rdf:                   http://www.w3.org/1999/02/22-rdf-syntax-ns#                             cardinality           (n P)                        _:x owl:onProperty P.                  2.3 Individuals & Literals
rdfs:                  http://www.w3.org/2000/01/rdf-schema#                                                                                      _:x owl:minCardinality n.
owl:                   http://www.w3.org/2002/07/owl#                                                                                                                                       named individual                aN                           aN
                                                                                               qualified             ObjectMaxCardinality         _:x rdf:type owl:Restriction.             anonymous individual            _:a                          _:a
xsd:                   http://www.w3.org/2001/XMLSchema#                                       maximum               (n P C)                      _:x owl:onProperty P.                     literal (datatype value)        "abc"^^DN                    "abc"^^DN
                                                                                               cardinality                                        _:x owl:minQualifiedCardinality n.
We use notation conventions in the following tables*:                                                                                             _:x owl:onClass C.                     2.4 Data Ranges
Letters        Meaning                     Letters         Meaning                             minimum               ObjectMinCardinality         _:x rdf:type owl:Restriction.
(a1 … an)      RDF list                    n               non-negative integer**              cardinality           (n P)                        _:x owl:onProperty P.                  Data Range Expressions
_:a            anonymous individual        ON              ontology name                                                                          _:x owl:maxCardinality n.
                                                                                               qualified             ObjectMinCardinality         _:x rdf:type owl:Restriction.             named datatype             DN                         DN
               (a blank node label)
                                                                                               minimum               (n P C)                      _:x owl:onProperty P.                     data range                 DataComplementOf           _:x rdf:type rdfs:Datatype.
_:x            blank node                  P               object property expression
                                                                                               cardinality                                        _:x owl:maxQualifiedCardinality n.        complement                 (D)                        _:x owl:datatypeComplementOf D.
a              individual                  p               prefix name
                                                                                                                                                  _:x owl:onClass C.                        data range                 DataIntersectionOf         _:x rdf:type rdfs:Datatype.
A              annotation property         PN              object property name
                                                                                                                                                                                            intersection               (D1…Dn)                    _:x owl:intersectionOf (D1…Dn).
aN             individual name             R               data property
                                                                                           Data Property Restrictions                                                                       data range union           DataUnionOf                _:x rdf:type rdfs:Datatype.
C              class expression            s               IRI or anonymous individual
                                                                                                                                                                                                                       (D1…Dn)                    _:x owl:unionOf (D1…Dn).
CN             class name                  t               IRI, anonymous individual, or       universal             DataAllValuesFrom            _:x rdf:type owl:Restriction.             literal                    DataOneOf                  _:x rdf:type rdfs:Datatype.
                                                           literal                                                   (R D)                        _:x owl:onProperty R.                     enumeration                (v1 … vn)                  _:x owl:oneOf ( v1 … vn ).
D                data range               U                IRI
                                                                                                                                                  _:x owl:allValuesFrom D.                  datatype                   DatatypeRestriction        _:x rdf:type rdfs:Datatype.
DN               datatype name            v                literal
                                                                                               existential           DataSomeValuesFrom           _:x rdf:type owl:Restriction.             restriction                (DN f1 v1 … fn vn)         _:x owl:onDatatype DN.
f                facet
                                                                                                                     (R D)                        _:x owl:onProperty R.                                                                           _:x owl:withRestrictions (_:x1 ... _:xn).
* All of the above can have subscripts.                                                                                                           _:x owl:someValuesFrom D.                                                                       _:xj fj vj. j=1…n
** As a shorthand for "n"^^xsd:nonNegativeInteger                                              literal value         DataHasValue                 _:x rdf:type owl:Restriction.
                                                                                                                     (R v)                        _:x owl:onProperty R.                  2.5 Axioms
2 OWL 2 constructs and axioms                                                                                                                     _:x owl:hasValue v.
                                                                                               exact cardinality     DataExactCardinality         _:x rdf:type owl:Restriction.          Class Expression Axioms
In the following tables, the three columns are:                                                                      (n R)                        _:x owl:onProperty R.                     subclass                   SubClassOf(C1 C2)            C1 rdfs:subClassOf C2.
Language Feature               Functional Syntax             RDF Syntax (Turtle)                                                                  _:x owl:cardinality n.                    equivalent classes         EquivalentClasses            Cj owl:equivalentClass Cj+1.
For an OWL 2 DL ontology, there are additional global restrictions on axioms.                  qualified exact       DataExactCardinality         _:x rdf:type owl:Restriction.                                        (C1 … Cn)                    j=1…n-1
                                                                                               cardinality           (n R D)                      _:x owl:onProperty R.                     disjoint classes           DisjointClasses(C1 C2)       C1 owl:disjointWith C2.
                                                                                                                                                  _:x owl:qualifiedCardinality n.           pairwise disjoint          DisjointClasses              _:x rdf:type owl:AllDisjointClasses.
2.1 Class Expressions                                                                                                                             _:x owl:onDataRange D.                    classes                    (C1 … Cn)                    _:x owl:members ( C1 … Cn ).
                                                                                               maximum               DataMaxCardinality           _:x rdf:type owl:Restriction.             disjoint union             DisjointUnionOf              CN owl:disjointUnionOf ( C1 …Cn ).
Predefined and Named Classes                                                                   cardinality           (n R)                        _:x owl:onProperty R.                                                (CN C1 … Cn)
named class           CN                            CN                                                                                            _:x owl:maxCardinality n.
universal class       owl:Thing                     owl:Thing                                  qualified             DataMaxCardinality           _:x rdf:type owl:Restriction.          Object Property Axioms
empty class           owl:Nothing                   owl:Nothing                                maximum               (n R D)                      _:x owl:onProperty R.
                                                                                               cardinality                                        _:x owl:maxQualifiedCardinality n.        subproperty                SubObjectPropertyOf             P1 rdfs:subPropertyOf P2.
Boolean Connectives and Enumeration of Individuals                                                                                                _:x owl:onDataRange D.                                               (P1 P2)
                                                                                               minimum               DataMinCardinality           _:x rdf:type owl:Restriction.             property chain             SubObjectPropertyOf             P owl:propertyChainAxiom
intersection          ObjectIntersectionOf          _:x rdf:type owl:Class.                    cardinality           (n R)                        _:x owl:onProperty R.                     inclusion                  (ObjectPropertyChain            (P1 … Pn).
                      (C1…Cn)                       _:x owl:intersectionOf ( C1…Cn ).                                                             _:x owl:minCardinality n.                                              (P1 … Pn) P)
union                 ObjectUnionOf                 _:x rdf:type owl:Class.                    qualified             DataMinCardinality           _:x rdf:type owl:Restriction.             property domain            ObjectPropertyDomain            P rdfs:domain C.
                      (C1 … Cn)                     _:x owl:unionOf ( C1 … Cn ).               minimum               (n R D)                      _:x owl:onProperty R.                                                (P C)
complement            ObjectComplementOf            _:x rdf:type owl:Class.                    cardinality                                        _:x owl:minQualifiedCardinality n.        property range             ObjectPropertyRange             P rdfs:range C.
                      (C)                           _:x owl:complementOf C.                                                                       _:x owl:onDataRange D.                                               (P C)
enumeration           ObjectOneOf                   _:x rdf:type owl:Class.                                                                                                                 equivalent                 EquivalentObjectProperties      Pj owl:equivalentProperty Pj+1.
                      (a1 … an)                     _:x owl:oneOf ( a1 … an ).             Restrictions Using n-ary Data Range                                                              properties                 (P1 … Pn)                       j=1…n-1
                                                                                                                                                                                            disjoint properties        DisjointObjectProperties        P1 owl:propertyDisjointWith P2.
Object Property Restrictions                                                               In the following table 'Dn' is an n-ary data range.                                                                         (P1 P2)
                                                                                                n-ary universal     DataAllValuesFrom            _:x rdf:type owl:Restriction.              pairwise disjoint          DisjointObjectProperties        _:x rdf:type
universal         ObjectAllValuesFrom              _:x rdf:type owl:Restriction.                                    (R1 … Rn Dn)                 _:x owl:onProperties ( R1 … Rn ).          properties                 (P1 … Pn)                       owl:AllDisjointProperties.
                  (P C)                            _:x owl:onProperty P.                                                                         _:x owl:allValuesFrom Dn.                                                                             _:x owl:members ( P1 … Pn ).
                                                   _:x owl:allValuesFrom C                     n-ary               DataSomeValuesFrom            _:x rdf:type owl:Restriction.              inverse properties         InverseObjectProperties         P1 owl:inverseOf P2.
existential       ObjectSomeValuesFrom             _:x rdf:type owl:Restriction.               existential         (R1 … Rn Dn)                  _:x owl:onProperties ( R1 … Rn).                                      (P1 P2)
                  (P C)                            _:x owl:onProperty P.                                                                         _:x owl:someValuesFrom Dn.                 functional                 FunctionalObjectProperty        P rdf:type
                                                   _:x owl:someValuesFrom C
                                                                                                                                                                                            property                   (P)                             owl:FunctionalProperty.
inverse             InverseFunctionalObjectProperty     P rdf:type                            2.7 Annotations                                                                                  3 Built-in Datatypes and Facets
functional          (P)                                 owl:InverseFunctionalProperty.
property                                                                                      Annotations
reflexive           ReflexiveObjectProperty             P rdf:type owl:ReflexiveProperty.                                                                                                      3.1 Built-in Datatypes
property            (P)                                                                          annotation assertion              AnnotationAssertion         s A t.
                                                                                                                                   (A s t)                                                        Universal             rdfs:Literal
irreflexive         IrreflexiveObjectProperty           P rdf:type owl:IrreflexiveProperty.
                                                                                                 annotation of an axiom            AXIOM(Annotation            _:xi A t.                          Datatype
property            (P)
                                                                                                 (where the axiom in               (A t) …)                    si U ti.                           Numbers               owl:rational                        owl:real
symmetric           SymmetricObjectProperty             P rdf:type
                                                                                                 RDF is one or more                                            …                                                        xsd:double       xsd:float          xsd:decimal     xsd:integer
property            (P)                                 owl:SymmetricProperty.
                                                                                                 triples of the form si U ti,                                  _:xi rdf:type owl:Axiom.                                 xsd:long         xsd:int            xsd:short       xsd:byte
asymmetric          AsymmetricObjectProperty            P rdf:type
                                                                                                 i.e., with the same                                           _:xi owl:annotatedSource si.                             xsd:nonNegativeInteger              xsd:nonPositiveInteger
property            (P)                                 owl:AsymmetricProperty.
                                                                                                 predicate U.)                                                 _:xi owl:annotatedProperty U.                            xsd:positiveInteger                 xsd:negativeInteger
transitive          TransitiveObjectProperty            P rdf:type owl:TransitiveProperty.
                                                                                                                                                               _:xi owl:annotatedTarget ti.                             xsd:unsignedLong                    xsd:unsignedInt
property            (P)
                                                                                                 annotation of an axiom            AXIOM(Annotation            _:x A t.                                                 xsd:unsignedShort                   xsd:unsignedByte
Data Property Axioms                                                                             (where the axiom in               (A t) … )                   _:x U t1.                          Strings               rdf:PlainLiteral (RDF plain literals)
                                                                                                 RDF is _:x U t1)                                               …                                                       xsd:string       xsd:NCName         xsd:Name        xsd:NMTOKEN
subproperty               SubDataPropertyOf(R1 R2)       R1 rdfs:subPropertyOf R2.                                                                                                                                      xsd:token        xsd:language       xsd:normalizedString
                                                                                                 annotation of another             Annotation(Annotation       _:x A t.
property domain           DataPropertyDomain(R C)        R rdfs:domain C.                                                                                                                         Boolean Values        xsd:boolean (value space: true and false)
                                                                                                 annotation                        (A t) … A1 t1)              s1 A1 t1.
property range            DataPropertyRange(R D)         R rdfs:range D.                         (the other annotation in                                      …                                  Binary Data           xsd:base64Binary                    xsd:hexBinary
equivalent                EquivalentDataProperties       Rj owl:equivalentProperty Rj+1.         RDF starts with s1)                                           _:x rdf:type owl:Annotation.       IRIs                  xsd:anyURI
properties                (R1 … Rn)                      j=1…n-1                                                                                               _:x owl:annotatedSource s1.        Time Instants         xsd:dateTime (optional time zone offset)
disjoint properties       DisjointDataProperties         R1 owl:propertyDisjointWith R2.                                                                       _:x owl:annotatedProperty A1.                            xsd:dateTimeStamp (required time zone offset)
                          (R1 R2)                                                                                                                              _:x owl:annotatedTarget t1.        XML Literals          rdf:XMLLiteral
pairwise disjoint         DisjointDataProperties         _:x rdf:type
properties                (R1 … Rn)                      owl:AllDisjointProperties.           Annotation Properties
                                                         _:x owl:members ( R1 … Rn ).                                                                                                          3.2 Facets
functional                FunctionalDataProperty(R)      R rdf:type                              named                   A                                    A                                   Facet                 Value                 Applicable             Explanation
property                                                 owl:FunctionalProperty.                 annotation                                                                                                                                   Datatypes
                                                                                                 property
Datatype Definitions                                                                                                                                                                              xsd:minInclusive      literal in the        Numbers,               Restricts the value-space
                                                                                                 human-readable          rdfs:label                           rdfs:label
                                                                                                                                                                                                  xsd:maxInclusive      corresponding         Time Instants          to greater than (equal to)
                                                                                                 name
datatype definition       DatatypeDefinition(DN D)        DN owl:equivalentClass D.                                                                                                               xsd:minExclusive      datatype                                     or lesser than (equal to) a
                                                                                                 human-readable          rdfs:comment                         rdfs:comment
                                                                                                                                                                                                  xsd:maxExclusive                                                   value
Assertions                                                                                       comment
                                                                                                                                                                                                  xsd:minLength         Non-negative          Strings,               Restricts the value-space
                                                                                                 additional              rdfs:seeAlso                         rdfs:seeAlso
individual equality     SameIndividual(a1 … an)          aj owl:sameAs aj+1. j=1…n-1                                                                                                              xsd:maxLength         integer               Binary Data,           based on the
                                                                                                 information
individual              DifferentIndividuals(a1 a2)      a1 owl:differentFrom a2.                                                                                                                 xsd:length                                  IRIs                   lengths of the literals
                                                                                                 defining agent          rdfs:isDefinedBy                     rdfs:isDefinedBy
inequality                                                                                                                                                                                        xsd:pattern           xsd:string literal    Strings,               Restricts the value space
                                                                                                 version                 owl:versionInfo                      owl:versionInfo
pairwise individual     DifferentIndividuals             _:x rdf:type owl:AllDifferent.                                                                                                                                 as a regular          IRIs                   to literals that> match the
                                                                                                 information
inequality              (a1 … an)                        _:x owl:members (a1 … an).                                                                                                                                     expression                                   regular expression
                                                                                                 deprecation             owl:deprecated                       owl:deprecated
class assertion         ClassAssertion(C a)              a rdf:type C.                                                                                                                            rdf:langRange         xsd:string literal    rdf:PlainLiteral       Restricts the value space
                                                                                                 backwards               owl:backwardCompatibleWith           owl:backwardCompatibleWith
positive object         ObjectPropertyAssertion          a1 PN a2.                                                                                                                                                      as a regular                                 to literals with language
                                                                                                 compatibility
property assertion      (PN a1 a2 )                                                                                                                                                                                     expression                                   tags that match the
                                                                                                 incompatibility         owl:incompatibleWith                 owl:incompatibleWith
positive data           DataPropertyAssertion            a R v.                                                                                                                                                                                                      regular expression
                                                                                                 prior version           owl:priorVersion                     owl:priorVersion
property assertion      (R a v )
negative object NegativeObjectPropertyAssertion          _:x rdf:type                         Annotation Axioms                                                                                A HTML version of the guide is at http://www.w3.org/TR/owl2-quick-reference/
property            (P a1 a2 )                           owl:NegativePropertyAssertion.
assertion                                                _:x owl:sourceIndividual a1.            annotation              SubAnnotationPropertyOf(A1 A2)            A1 rdfs:subPropertyOf A2.   Copyright © 2008-2009 W3C® (MIT, ERCIM, Keio), All Rights Reserved.
                                                         _:x owl:assertionProperty P.            subproperties                                                                                 W3C Document License: http://w3.org/brief/MTQ4
                                                         _:x owl:targetIndividual a2.            annotation              AnnotationPropertyDomain(A U)             A rdfs:domain U.            W3C liability, trademark and document use rules apply.
negative data         NegativeDataPropertyAssertion      _:x rdf:type                            property domain
property              (R a v )                           owl:NegativePropertyAssertion.          annotation              AnnotationPropertyRange(A U)              A rdfs:range U.             Editors:
assertion                                                _:x owl:sourceIndividual a.             property range                                                                                       Jie Bao, Rensselaer Polytechnic Institute
                                                         _:x owl:assertionProperty R.                                                                                                                 Elisa F. Kendall, Sandpiper Software, Inc.
                                                         _:x owl:targetValue v.               2.8 Ontologies                                                                                          Deborah L. McGuinness, Rensselaer Polytechnic Institute
                                                                                                                                                                                                      Peter F. Patel-Schneider, Bell Labs Research, Alcatel-Lucent
Keys                                                                                             OWL ontology                   Ontology([ON [U]]          ON rdf:type owl:Ontology.           Contributors:
                                                                                                 (importing)1 2                   Import(ON1)...           [ON owl:versionIRI U.]                     Li Ding, Rensselaer Polytechnic Institute
Key      HasKey(C (P1 … Pm) (R1 … Rn) )               C owl:hasKey (P1 … Pm R1 … Rn).                                             Annotation(A t)          ON owl:imports ON1.                        Ankesh Khandelwal, Rensselaer Polytechnic Institute
                                                      m+n>0                                                                       ...                       ...
                                                                                                                                )                          ON A t.                             Reference card formatting by Jie Bao
2.6 Declarations                                                                                                                                           ...
                                                                                                 prefix declaration3            Prefix(p=U)                @prefix p U.                        Version 0.12, Oct 16 2009
class           Declaration( Class( CN ) )                CN rdf:type owl:Class.                                                                                                               Based on the 22 September 2009 Proposed Recommendation
datatype        Declaration( Datatype( DN ) )             DN rdf:type rdfs:Datatype.          1. [ ] represents optional constructs
object          Declaration( ObjectProperty( PN ) )       PN rdf:type                         2. in the RDF syntax _:x is used in place of ON if there is no ontology name ON.
property                                                  owl:ObjectProperty.                 3. RDF syntax is in Turtle, other RDF serializations may vary.
data            Declaration( DataProperty( R ) )          R rdf:type
property                                                  owl:DatatypeProperty.
annotation      Declaration                               A rdf:type
property        ( AnnotationProperty( A ) )               owl:AnnotationProperty.
named           Declaration                               aN rdf:type
individual      ( NamedIndividual( aN ) )                 owl:NamedIndividual.

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OWL 2 Quick Reference Card Letter Size

  • 1. OWL 2 Web Ontology Language individual value ObjectHasValue (P a) _:x rdf:type owl:Restriction. _:x owl:onProperty P. 2.2 Properties Quick Reference Guide _:x owl:hasValue a. Object Property Expressions local reflexivity ObjectHasSelf _:x rdf:type owl:Restriction. named object property PN PN http://www.w3.org/2007/OWL/refcard (P) _:x owl:onProperty P. universal object property owl:topObjectProperty owl:topObjectProperty _:x owl:hasSelf "true"^^xsd:boolean. empty object property owl:bottomObjectProperty owl:bottomObjectProperty exact cardinality ObjectExactCardinality _:x rdf:type owl:Restriction. 1 Names, Prefixes, and Notation (n P) _:x owl:onProperty P. inverse property ObjectInverseOf(PN) _:x owl:inverseOf PN _:x owl:cardinality n. Data Property Expressions Names in OWL 2 are IRIs, often written in a shorthand prefix:localname, qualified exact ObjectExactCardinality _:x rdf:type owl:Restriction. named data property R R where prefix: is a prefix name that expands to an IRI, and localname is the remainder of cardinality (n P C) _:x owl:onProperty P. universal data property owl:topDataProperty owl:topDataProperty the name. The prefix names in OWL 2 are: _:x owl:qualifiedCardinality n. empty data property owl:bottomDataProperty owl:bottomDataProperty _:x owl:onClass C. Prefix Name Expansion maximum ObjectMaxCardinality _:x rdf:type owl:Restriction. rdf: http://www.w3.org/1999/02/22-rdf-syntax-ns# cardinality (n P) _:x owl:onProperty P. 2.3 Individuals & Literals rdfs: http://www.w3.org/2000/01/rdf-schema# _:x owl:minCardinality n. owl: http://www.w3.org/2002/07/owl# named individual aN aN qualified ObjectMaxCardinality _:x rdf:type owl:Restriction. anonymous individual _:a _:a xsd: http://www.w3.org/2001/XMLSchema# maximum (n P C) _:x owl:onProperty P. literal (datatype value) "abc"^^DN "abc"^^DN cardinality _:x owl:minQualifiedCardinality n. We use notation conventions in the following tables*: _:x owl:onClass C. 2.4 Data Ranges Letters Meaning Letters Meaning minimum ObjectMinCardinality _:x rdf:type owl:Restriction. (a1 … an) RDF list n non-negative integer** cardinality (n P) _:x owl:onProperty P. Data Range Expressions _:a anonymous individual ON ontology name _:x owl:maxCardinality n. qualified ObjectMinCardinality _:x rdf:type owl:Restriction. named datatype DN DN (a blank node label) minimum (n P C) _:x owl:onProperty P. data range DataComplementOf _:x rdf:type rdfs:Datatype. _:x blank node P object property expression cardinality _:x owl:maxQualifiedCardinality n. complement (D) _:x owl:datatypeComplementOf D. a individual p prefix name _:x owl:onClass C. data range DataIntersectionOf _:x rdf:type rdfs:Datatype. A annotation property PN object property name intersection (D1…Dn) _:x owl:intersectionOf (D1…Dn). aN individual name R data property Data Property Restrictions data range union DataUnionOf _:x rdf:type rdfs:Datatype. C class expression s IRI or anonymous individual (D1…Dn) _:x owl:unionOf (D1…Dn). CN class name t IRI, anonymous individual, or universal DataAllValuesFrom _:x rdf:type owl:Restriction. literal DataOneOf _:x rdf:type rdfs:Datatype. literal (R D) _:x owl:onProperty R. enumeration (v1 … vn) _:x owl:oneOf ( v1 … vn ). D data range U IRI _:x owl:allValuesFrom D. datatype DatatypeRestriction _:x rdf:type rdfs:Datatype. DN datatype name v literal existential DataSomeValuesFrom _:x rdf:type owl:Restriction. restriction (DN f1 v1 … fn vn) _:x owl:onDatatype DN. f facet (R D) _:x owl:onProperty R. _:x owl:withRestrictions (_:x1 ... _:xn). * All of the above can have subscripts. _:x owl:someValuesFrom D. _:xj fj vj. j=1…n ** As a shorthand for "n"^^xsd:nonNegativeInteger literal value DataHasValue _:x rdf:type owl:Restriction. (R v) _:x owl:onProperty R. 2.5 Axioms 2 OWL 2 constructs and axioms _:x owl:hasValue v. exact cardinality DataExactCardinality _:x rdf:type owl:Restriction. Class Expression Axioms In the following tables, the three columns are: (n R) _:x owl:onProperty R. subclass SubClassOf(C1 C2) C1 rdfs:subClassOf C2. Language Feature Functional Syntax RDF Syntax (Turtle) _:x owl:cardinality n. equivalent classes EquivalentClasses Cj owl:equivalentClass Cj+1. For an OWL 2 DL ontology, there are additional global restrictions on axioms. qualified exact DataExactCardinality _:x rdf:type owl:Restriction. (C1 … Cn) j=1…n-1 cardinality (n R D) _:x owl:onProperty R. disjoint classes DisjointClasses(C1 C2) C1 owl:disjointWith C2. _:x owl:qualifiedCardinality n. pairwise disjoint DisjointClasses _:x rdf:type owl:AllDisjointClasses. 2.1 Class Expressions _:x owl:onDataRange D. classes (C1 … Cn) _:x owl:members ( C1 … Cn ). maximum DataMaxCardinality _:x rdf:type owl:Restriction. disjoint union DisjointUnionOf CN owl:disjointUnionOf ( C1 …Cn ). Predefined and Named Classes cardinality (n R) _:x owl:onProperty R. (CN C1 … Cn) named class CN CN _:x owl:maxCardinality n. universal class owl:Thing owl:Thing qualified DataMaxCardinality _:x rdf:type owl:Restriction. Object Property Axioms empty class owl:Nothing owl:Nothing maximum (n R D) _:x owl:onProperty R. cardinality _:x owl:maxQualifiedCardinality n. subproperty SubObjectPropertyOf P1 rdfs:subPropertyOf P2. Boolean Connectives and Enumeration of Individuals _:x owl:onDataRange D. (P1 P2) minimum DataMinCardinality _:x rdf:type owl:Restriction. property chain SubObjectPropertyOf P owl:propertyChainAxiom intersection ObjectIntersectionOf _:x rdf:type owl:Class. cardinality (n R) _:x owl:onProperty R. inclusion (ObjectPropertyChain (P1 … Pn). (C1…Cn) _:x owl:intersectionOf ( C1…Cn ). _:x owl:minCardinality n. (P1 … Pn) P) union ObjectUnionOf _:x rdf:type owl:Class. qualified DataMinCardinality _:x rdf:type owl:Restriction. property domain ObjectPropertyDomain P rdfs:domain C. (C1 … Cn) _:x owl:unionOf ( C1 … Cn ). minimum (n R D) _:x owl:onProperty R. (P C) complement ObjectComplementOf _:x rdf:type owl:Class. cardinality _:x owl:minQualifiedCardinality n. property range ObjectPropertyRange P rdfs:range C. (C) _:x owl:complementOf C. _:x owl:onDataRange D. (P C) enumeration ObjectOneOf _:x rdf:type owl:Class. equivalent EquivalentObjectProperties Pj owl:equivalentProperty Pj+1. (a1 … an) _:x owl:oneOf ( a1 … an ). Restrictions Using n-ary Data Range properties (P1 … Pn) j=1…n-1 disjoint properties DisjointObjectProperties P1 owl:propertyDisjointWith P2. Object Property Restrictions In the following table 'Dn' is an n-ary data range. (P1 P2) n-ary universal DataAllValuesFrom _:x rdf:type owl:Restriction. pairwise disjoint DisjointObjectProperties _:x rdf:type universal ObjectAllValuesFrom _:x rdf:type owl:Restriction. (R1 … Rn Dn) _:x owl:onProperties ( R1 … Rn ). properties (P1 … Pn) owl:AllDisjointProperties. (P C) _:x owl:onProperty P. _:x owl:allValuesFrom Dn. _:x owl:members ( P1 … Pn ). _:x owl:allValuesFrom C n-ary DataSomeValuesFrom _:x rdf:type owl:Restriction. inverse properties InverseObjectProperties P1 owl:inverseOf P2. existential ObjectSomeValuesFrom _:x rdf:type owl:Restriction. existential (R1 … Rn Dn) _:x owl:onProperties ( R1 … Rn). (P1 P2) (P C) _:x owl:onProperty P. _:x owl:someValuesFrom Dn. functional FunctionalObjectProperty P rdf:type _:x owl:someValuesFrom C property (P) owl:FunctionalProperty.
  • 2. inverse InverseFunctionalObjectProperty P rdf:type 2.7 Annotations 3 Built-in Datatypes and Facets functional (P) owl:InverseFunctionalProperty. property Annotations reflexive ReflexiveObjectProperty P rdf:type owl:ReflexiveProperty. 3.1 Built-in Datatypes property (P) annotation assertion AnnotationAssertion s A t. (A s t) Universal rdfs:Literal irreflexive IrreflexiveObjectProperty P rdf:type owl:IrreflexiveProperty. annotation of an axiom AXIOM(Annotation _:xi A t. Datatype property (P) (where the axiom in (A t) …) si U ti. Numbers owl:rational owl:real symmetric SymmetricObjectProperty P rdf:type RDF is one or more … xsd:double xsd:float xsd:decimal xsd:integer property (P) owl:SymmetricProperty. triples of the form si U ti, _:xi rdf:type owl:Axiom. xsd:long xsd:int xsd:short xsd:byte asymmetric AsymmetricObjectProperty P rdf:type i.e., with the same _:xi owl:annotatedSource si. xsd:nonNegativeInteger xsd:nonPositiveInteger property (P) owl:AsymmetricProperty. predicate U.) _:xi owl:annotatedProperty U. xsd:positiveInteger xsd:negativeInteger transitive TransitiveObjectProperty P rdf:type owl:TransitiveProperty. _:xi owl:annotatedTarget ti. xsd:unsignedLong xsd:unsignedInt property (P) annotation of an axiom AXIOM(Annotation _:x A t. xsd:unsignedShort xsd:unsignedByte Data Property Axioms (where the axiom in (A t) … ) _:x U t1. Strings rdf:PlainLiteral (RDF plain literals) RDF is _:x U t1) … xsd:string xsd:NCName xsd:Name xsd:NMTOKEN subproperty SubDataPropertyOf(R1 R2) R1 rdfs:subPropertyOf R2. xsd:token xsd:language xsd:normalizedString annotation of another Annotation(Annotation _:x A t. property domain DataPropertyDomain(R C) R rdfs:domain C. Boolean Values xsd:boolean (value space: true and false) annotation (A t) … A1 t1) s1 A1 t1. property range DataPropertyRange(R D) R rdfs:range D. (the other annotation in … Binary Data xsd:base64Binary xsd:hexBinary equivalent EquivalentDataProperties Rj owl:equivalentProperty Rj+1. RDF starts with s1) _:x rdf:type owl:Annotation. IRIs xsd:anyURI properties (R1 … Rn) j=1…n-1 _:x owl:annotatedSource s1. Time Instants xsd:dateTime (optional time zone offset) disjoint properties DisjointDataProperties R1 owl:propertyDisjointWith R2. _:x owl:annotatedProperty A1. xsd:dateTimeStamp (required time zone offset) (R1 R2) _:x owl:annotatedTarget t1. XML Literals rdf:XMLLiteral pairwise disjoint DisjointDataProperties _:x rdf:type properties (R1 … Rn) owl:AllDisjointProperties. Annotation Properties _:x owl:members ( R1 … Rn ). 3.2 Facets functional FunctionalDataProperty(R) R rdf:type named A A Facet Value Applicable Explanation property owl:FunctionalProperty. annotation Datatypes property Datatype Definitions xsd:minInclusive literal in the Numbers, Restricts the value-space human-readable rdfs:label rdfs:label xsd:maxInclusive corresponding Time Instants to greater than (equal to) name datatype definition DatatypeDefinition(DN D) DN owl:equivalentClass D. xsd:minExclusive datatype or lesser than (equal to) a human-readable rdfs:comment rdfs:comment xsd:maxExclusive value Assertions comment xsd:minLength Non-negative Strings, Restricts the value-space additional rdfs:seeAlso rdfs:seeAlso individual equality SameIndividual(a1 … an) aj owl:sameAs aj+1. j=1…n-1 xsd:maxLength integer Binary Data, based on the information individual DifferentIndividuals(a1 a2) a1 owl:differentFrom a2. xsd:length IRIs lengths of the literals defining agent rdfs:isDefinedBy rdfs:isDefinedBy inequality xsd:pattern xsd:string literal Strings, Restricts the value space version owl:versionInfo owl:versionInfo pairwise individual DifferentIndividuals _:x rdf:type owl:AllDifferent. as a regular IRIs to literals that> match the information inequality (a1 … an) _:x owl:members (a1 … an). expression regular expression deprecation owl:deprecated owl:deprecated class assertion ClassAssertion(C a) a rdf:type C. rdf:langRange xsd:string literal rdf:PlainLiteral Restricts the value space backwards owl:backwardCompatibleWith owl:backwardCompatibleWith positive object ObjectPropertyAssertion a1 PN a2. as a regular to literals with language compatibility property assertion (PN a1 a2 ) expression tags that match the incompatibility owl:incompatibleWith owl:incompatibleWith positive data DataPropertyAssertion a R v. regular expression prior version owl:priorVersion owl:priorVersion property assertion (R a v ) negative object NegativeObjectPropertyAssertion _:x rdf:type Annotation Axioms A HTML version of the guide is at http://www.w3.org/TR/owl2-quick-reference/ property (P a1 a2 ) owl:NegativePropertyAssertion. assertion _:x owl:sourceIndividual a1. annotation SubAnnotationPropertyOf(A1 A2) A1 rdfs:subPropertyOf A2. Copyright © 2008-2009 W3C® (MIT, ERCIM, Keio), All Rights Reserved. _:x owl:assertionProperty P. subproperties W3C Document License: http://w3.org/brief/MTQ4 _:x owl:targetIndividual a2. annotation AnnotationPropertyDomain(A U) A rdfs:domain U. W3C liability, trademark and document use rules apply. negative data NegativeDataPropertyAssertion _:x rdf:type property domain property (R a v ) owl:NegativePropertyAssertion. annotation AnnotationPropertyRange(A U) A rdfs:range U. Editors: assertion _:x owl:sourceIndividual a. property range Jie Bao, Rensselaer Polytechnic Institute _:x owl:assertionProperty R. Elisa F. Kendall, Sandpiper Software, Inc. _:x owl:targetValue v. 2.8 Ontologies Deborah L. McGuinness, Rensselaer Polytechnic Institute Peter F. Patel-Schneider, Bell Labs Research, Alcatel-Lucent Keys OWL ontology Ontology([ON [U]] ON rdf:type owl:Ontology. Contributors: (importing)1 2 Import(ON1)... [ON owl:versionIRI U.] Li Ding, Rensselaer Polytechnic Institute Key HasKey(C (P1 … Pm) (R1 … Rn) ) C owl:hasKey (P1 … Pm R1 … Rn). Annotation(A t) ON owl:imports ON1. Ankesh Khandelwal, Rensselaer Polytechnic Institute m+n>0 ... ... ) ON A t. Reference card formatting by Jie Bao 2.6 Declarations ... prefix declaration3 Prefix(p=U) @prefix p U. Version 0.12, Oct 16 2009 class Declaration( Class( CN ) ) CN rdf:type owl:Class. Based on the 22 September 2009 Proposed Recommendation datatype Declaration( Datatype( DN ) ) DN rdf:type rdfs:Datatype. 1. [ ] represents optional constructs object Declaration( ObjectProperty( PN ) ) PN rdf:type 2. in the RDF syntax _:x is used in place of ON if there is no ontology name ON. property owl:ObjectProperty. 3. RDF syntax is in Turtle, other RDF serializations may vary. data Declaration( DataProperty( R ) ) R rdf:type property owl:DatatypeProperty. annotation Declaration A rdf:type property ( AnnotationProperty( A ) ) owl:AnnotationProperty. named Declaration aN rdf:type individual ( NamedIndividual( aN ) ) owl:NamedIndividual.