Web Ontology Language (OWL Lite, OWL DL, and OWL Full)
Feature Synopsis Version 1.0

W3C Working Draft January 2, 2002

This version:

http://www.ksl.stanford.edu/people/dlm/webont/OWLFeatureSynopsis.htm

Latest version:

http://www.ksl.stanford.edu/people/dlm/webont/OWLFeatureSynopsis.htm

Editors:

Deborah L. McGuinness (Knowledge Systems Laboratory, Stanford University) dlm@ksl.stanford.edu

Frank van Harmelen (Free University, Amsterdam) frank.van.harmelen@cs.vu.nl

Copyright ©2002 W3C ^® ( MIT , INRIA , Keio). All Rights Reserved. W3C liability , trademark , document use and software licensing rules apply.

---

Abstract

Status of this document

This section describes the status of this document at the time of its publication. Other documents may supersede this document. A list of current W3C Recommendations and other technical reports is available at http://www.w3.org/TR/.

This document is a working document for the use by W3C Members and other interested parties. It may be updated, replaced or made obsolete by other documents at any time.

This document has been produced by the Web Ontology Working Group, as part of the W3C Semantic Web Activity. The goals of the Web Ontology working group are discussed in the Web Ontology Working Group charter.

Comments on this document should be sent to the W3C mailing list public-webont-comments@w3.org (with public archive).

There are no patent disclosures related to this work at the time of this writing.

Table of contents

1. Introduction
2. Language Synopsis
   1. OWL Lite Synopsis
      1. OWL Lite RDF Schema Features Synopsis
      2. OWL Lite Equality and Inequality Synopsis
      3. OWL Lite Property Characteristics Synopsis
      4. OWL Lite Restricted Cardinality Synopsis
      5. OWL Lite Datatypes Synopsis
      6. OWL Lite Header Information Synopsis
   2. OWL DL and OWL Full Synopsis
      1. OWL DL and OWL Full Class Axioms Synopsis
      2. OWL DL and OWL Full Boolean Combinations of Class Expressions Synopsis
      3. OWL DL and OWL Full Arbitrary Cardinality Synopsis
      4. OWL DL and OWL Full Filler Information Synopsis
3. Language Description of OWL Lite
   1. OWL Lite RDF Schema Features
   2. OWL Lite Equality and Inequality
   3. OWL Lite Property Characteristics
   4. OWL Lite Property Type Restrictions
   5. OWL Lite Restricted Cardinality
   6. OWL Lite Datatypes
   7. OWL Lite Header Information
4. Incremental Language Description of OWL DL and OWL Full
5. Summary

1. Introduction

This document describes OWL (the Web Ontology Language) that is being designed by the W3C Web Ontology Working Group to provide a language that can be used for applications that need to understand the content of information, instead of presenting just presenting human-readable content. OWL can be used to explicitly represent term vocabularies and the relationships between entities in these vocabularies. This representation of terms and their interrelationships creates an ontology. The ontology language in OWL is more expressive than that in XML, RDF, and RDF-S, and thus OWL goes beyond these language in its ability to represent machine readable content on the web. OWL is a revision of the DAML+OIL web ontology language incorporating lessons learned from the design and application of DAML+OIL.

The goal of this document is to provide a simple introduction to OWL by providing a language feature listing with very brief feature descriptions. For a more complete description of OWL, see the OWL Reference, the OWL Guide, and the OWL Abstract Syntax and Semantics documents.

This document begins by describing a subset of the language, called OWL Lite. The goal of OWL Lite is to provide a language that is a simpler for tool builders to support than the full OWL language. One expectation is that tools will facilitate widespread adoption of OWL and thus the OWL language designers should attempt to create a language to which tool developers will flock. While it is widely appreciated that all of the features in languages such DAML+OIL are important to some users, it is also understood that languages as expressive as DAML+OIL may be daunting to some groups who are trying to support a tool suite for the entire language. In order to provide a language that is approachable to a wider audience, OWL Lite has been defined a subset of OWL. OWL Lite attempts to capture many of the commonly used features of OWL and DAML+OIL. It also attempts to describe a useful language that provides more than RDF-S meeting the goal of adding functionality that is important to support web applications.

2. Language Synopsis

In this document, italicized terms are terms in OWL. Capitalization in OWL terms in this document is consistent with capitalization in the reference language document. Prefixes of rdf: or rdfs: are used when terms are in the RDF or RDF-S namespaces. Otherwise terms are in the OWL namespace.

2.1 OWL Lite Synopsis

2.1.1 OWL Lite RDF Schema Features Synopsis

• Class
• rdf:Property
• rdfs:subClassOf
• rdfs:subPropertyOf
• rdfs:domain
• rdfs:range
• Individual

2.1.2 OWL Lite Equality and Inequality Synopsis

• sameClassAs
• samePropertyAs
• sameIndividualAs
• differentIndividualFrom

2.1.3 OWL Lite Property Characteristics Synopsis

• inverseOf
• TransitiveProperty
• SymmetricProperty
• FunctionalProperty (unique)
• InverseFunctionalProperty (unambiguous)
• allValuesFrom (universal local range restrictions; previously toClass)
• someValuesFrom (existential local range restrictions; previously hasClass)

2.1.4 OWL Lite Restricted Cardinality Synopsis

• minCardinality (restricted to 0 or 1)
• maxCardinality (restricted to 0 or 1)
• cardinality (restricted to 0 or 1)

2.1.5 OWL Lite Datatypes Synopsis

Following the decisions of RDF Core.

2.1.6 OWL Lite Header Information Synopsis

• imports
• versionInfo
• priorVersion
• backwardCompatibleWith
• incompatibleWith

2.2 OWL DL and Full Synopsis

2.2.1 OWL Class Axioms Synopsis

• oneOf (enumerated classes)
• disjointWith
• sameClassAs applied to class expressions
• rdfs:subClassOf applied to class expressions

2.2.2 OWL Boolean Combinations of Class Expressions Synopsis

• unionOf
• intersectionOf
• complementOf

2.2.3 OWL Arbitrary Cardinality Synopsis

• minCardinality
• maxCardinality
• cardinality

2.2.4 OWL Filler Information Synopsis

• hasValue Descriptions can include specific value information

3. Language Description of OWL Lite

3.1 OWL Lite RDF Schema Features

The following OWL Lite features related to RDF Schema are included.

• Class: Classes can be made to be equivalent to or subclasses of intersections of other classes. There is a built-in most general class named Thing that is the class of all individuals and the superclass of all classes. We may choose to make a new subclass of the class Thing named Mammal. (Later we may choose to refine Mammal to include additional information.) We may also create a new class named Person that is a subclass of Mammal. From this a reasoner can deduce that any instance of the class Person is also an instance of the class Mammal. Note that there is no limitation on cycle creation in subclass hierarchies.
• rdfs:Property: A term that will be used as a relationship between individuals is a property. Examples of properties include: hasChild, hasRelative, hasSibling, and hasAge. The first three relate an instance of a class Person to another instance of the class Person and the last one (hasAge) relates an instance of the class Person to an instance of the datatype Integer.
• rdfs:subClassOf: Class hierarchies may be created by stating that classes are subclasses of other classes. For example, the class Person could be stated to be a subclass of the class Mammal. From this a reasoner can deduce that if X is a Person, then X is a Mammal.
• rdfs:subPropertyOf: Property hierarchies may be created by stating that some properties are subproperties of other properties. For example, hasSibling may be stated to be a subproperty of hasRelative. From this a reasoner can deduce that if X is related to Y by the hasSibling property, then X is also related to Y by the hasRelative property.
• rdfs:domain: Properties may be stated to have domains, (i.e., if X is related to Y by a property p with a domain class Z, then X must be an instance of the domain class Z). For example, the property hasChild may be stated to have the domain of Mammal. From this a reasoner can deduce that if X is related to Y by the hasChild property, i.e., Y is the child of X, then X is a Mammal. Note that these are called global restrictions since the restriction is stated on the property and not just on the property when it is associated with a particular class. See the discussion below on local restrictions for more information.
• rdfs:range: Properties may be stated to have ranges, (i.e., if X is related to Y by a property p with a range class Z, then Y must be an instance of the range class Z). For example, the property hasChild may be stated to have the range of Mammal. From this a reasoner can deduce that if Louise is related to Deborah by the hasChild property, i.e., Deborah is the child of Louise, then Deborah is a Mammal. Range is also a global restriction as is domain above. See the discussion below on local restrictions for more information.
• Individual: Individuals may be described as an instance of a class, and properties may also be used to relate one individual to another. For example, an individual named Deborah may be described as an instance of the class Person and the property hasEmployer may be used to relate the individual Deborah to the individual StanfordUniversity.

3.2 OWL Lite Equality and Inequality

• sameClassAs: Two classes may be stated to be the same (i.e., they may be stated to be different names for the same set of individuals). Equality can be used to create synonymous classes. For example, Car can be stated to be sameClassAs Automobile. From this a reasoner can deduce that any individual that is an instance of Car is also an instance of Automobile and vice versa.
• samePropertyAs: Two properties may be stated to be the same. Equality may be used to create synonymous properties. For example, hasLeader may be stated to be the samePropertyAs hasHead. From this a reasoner can deduce that if X is related to Y by the property hasLeader, X is also related to Y by the property hasHead and vice versa. A reasoner can also deduce that hasLeader is a subproperty of hasHead and hasHead is a subProperty of hasLeader.
• sameIndividualAs: Two individuals may be stated to be the same. Equality may be used to create a number of different names that refer to the same individual. For example, the individual Deborah may be stated to be the same individual as DeborahMcGuinness.
• differentIndividualFrom: Two individuals may be stated to be different from each other. For example, the individuals Frank and Deborah may be stated to be different from each other. From this inequality, a reasoner can deduce that Frank and Deborah refer to two unique individuals. Thus, if the individuals Frank and Deborah are both values for a property that is stated to be functional (thus the property has at most one value), then there is a contradiction. Stating differences can be important in systems such as OWL (and RDF) that do not assume that individuals have one and only one name. For example, with no additional information, a reasoner will not deduce that Frank and Deborah refer to distinct individuals.

3.3 OWL Lite Property Characteristics

• inverseOf: One property may be stated to be the inverse of another property. If the property P1 is stated to be the inverse of the property P2, then if X is related to Y by the P2 property, then Y is related to X by the P1 property. For example, if hasChild is the inverse of hasParent and Deborah hasParent Louise, then a reasoner can deduce that Louise hasChild Deborah.
• TransitiveProperty: Properties may be stated to be transitive. If a property is transitive, then if the pair (x,y) is an instance of the transitive property P, and the pair (y,z) is an instance of P, then the pair (x,z) is also an instance of P. For example, if ancestor is stated to be transitive, and if Sara is an ancestor of Louise (i.e., (Sara,Louise) is an instance of the property ancestor) and Louise is an ancestor of Deborah (i.e., (Louise,Deborah) is an instance of the property ancestor), then a reasoner can deduce that Sara is an ancestor of Deborah (i.e., (Sara,Deborah) is an instance of the property ancestor).
  The same OWL DL and DAML+OIL side conditions hold that restrict transitive properties (and their superproperties) from having an atmost1 or an exactly1 restriction. See the property axiom section of the abstract syntax document for more information.
• SymmetricProperty: Properties may be stated to be symmetric. If a property is symmetric, then if the pair (x,y) is an instance of the symmetric property P, then the pair (y,x) is also an instance of P. For example, friend may be stated to be a symmetric property. Then a reasoner that is given that Frank is a friend of Deborah can deduce that Deborah is a friend of Frank. Note that properties that are to be made symmetric may not have arbitrary domains and ranges.
• FunctionalProperty : Properties may be stated to have a unique value. If a property is a FunctionalProperty, then it has no more than one value for each individual and it may have no values for an individual. This characteristic has been referred to as having a unique property. Alternatively, the property's minimum cardinality is zero and its maximum cardinality is 1. For example, hasPrimaryEmployer may be stated to be a FunctionalProperty. From this a reasoner may deduce that no individual may have more than one primary employer. This does not imply that every Person must have at least one primary employer however. OWL Lite includes the same side condition as is stated in the DAML+OIL specification and OWL DL that does not allow transitive properties nor any of their superproperties to be declared functional. For more information on the details of the limitation, see the Warning under the property element section of the DAML+OIL reference description or in a research paper by Horrocks, Sattler, and Tobies showing the undecidability that would follow from violating this restriction. See the semantics document for more information concerning the restrictions.
• InverseFunctionalProperty: Properties may be stated to be inverse functional. If a property is inverse functional then the inverse of the property is functional. Thus the inverse of the property has at most one value for each individual. This characteristic has also been referred to as an unambiguous property. For example, hasUSSocialSecurityNumber (a unique identifier for United States residents) may be stated to be inverse functional (or unambiguous). The inverse of this property (which may be referred to as isTheSocialSecurityNumberFor) has at most one value for an individual. Thus any one person's social security number is the only value for their isTheSocialSecurityNumberfor property. From this a reasoner can deduce that no two different individual instances of Person have the identical US Social Security Number. Also, a reasoner can deduce that if two instances of Person have the same social security number, then those two instances refer to the same individual. See the Reference Document for more information.

3.4 OWL Lite Property Type Restriction

• allValuesFrom (toClass in DAML+OIL): The restriction allValuesFrom is stated on a property with respect to a class. A property on a particular class may have a local range restriction associated with it. Thus if an individual instance of the class is related by the property to a second individual, then the second individual can be inferred to be an instance of the local range restriction class. For example, the class Person may have a property called hasOffspring restricted to have allValuesFrom the class Person. This means that if an individual person Louise is related by the property hasOffspring to the individual Deborah, then from this a reasoner can deduce that Deborah is an instance of the class Person. This restriction allows the property hasOffspring to be used with other classes, such as the class Cat, and have an appropriate value restriction associated with the use of the property on that class. In this case, hasOffspring would have the local range restriction of Cat when associated with the class Cat and would have the local range restriction Person when associated with the class Person. Note that a reasoner can not deduce from an allValuesFrom restriction alone that there is at least one value for the property.
• someValuesFrom: (hasClass in DAML+OIL): The restriction someValuesFrom is stated on a property with respect to a class. A particular class may have a restriction on a property that at least one value for that property is of a certain type. For example, the class SemanticWebPaper may have a someValuesFrom restriction on the hasKeyword property that states that some value for the hasKeyword property should be an instance of the class SemanticWebTopic. This allows for the option of having multiple keywords and as long as one or more is an instance of the class SemanticWebTopic, then the paper would be consistent with the someValuesFrom restriction. Unlike allValuesFrom, someValuesFrom does not restrict all the values of the property to be instances of the same class. If myPaper is an individual instance of the SemanticWebPaper class, then myPaper is related by the hasKeyword property to at least one individual instance of the SemanticWebTopic class. Note that a reasoner can not deduce (as it could with allValuesFrom restrictions) that all values of hasKeyword are instances of the SemanticWebTopic class

3.5 OWL Lite Restricted Cardinality

A limited form of cardinality restrictions have been included in OWL Lite. OWL (and OWL Lite) cardinality restrictions are referred to as local restrictions, since they are stated on properties with respect to a particular class. That is, the restrictions limit the cardinality of that property on instances of the class. OWL Lite cardinality restrictions are limited because they only allow statements concerning cardinalities of value 0 or 1 (they do not allow arbitrary values for cardinality, as is the case in full OWL).

• minCardinality: Cardinality is stated on a property with respect to a particular class. If a minCardinality of 1 is stated on a property with respect to a class, then any instance of that class will be related to at least one individual by that property. This restriction is another way of saying that the property is required for all individual instances of the class. For example, the class Person would not have any minimum cardinality restrictions stated on a hasOffspring property since not all person have offspring. The class Parent, however would have a minimum cardinality of 1 on the hasOffspring property. If a reasoner knows that Louise is a Person, then nothing can be deduced about a minimum cardinality for her hasOffspring property. Once it is discovered that Louise is an instance of Parent, then a reasoner can deduce that Louise is related to at least one individual by the hasOffspring property. From this information alone, a reasoner can not deduce any maximum number of offspring for individual instances of the class parent. In OWL Lite the only minimum cardinalities allowed are 0 or 1. A minimum cardinality of zero on a property just states (in the absence of any more specific information) that the property is optional with respect to a class. For example, the property has Offspring may have a minimum cardinality of zero on the class Person (while it is stated to have the more specific information of minimum cardinality of one on the class Parent).
• maxCardinality: Cardinality is stated on a property with respect to a particular class. If a maxCardinality of 1 is stated on a property with respect to a class, then any instance of that class will be related to at most one individual by that property. A maxCardinality 1 restriction is sometimes called a functional or unique property. For example, the property hasRegisteredVotingState on the class UnitedStatesCitizens may have a maximum cardinality of one (because people are only allowed to vote in only one state). From this a reasoner can deduce that individual instances of the class USCitizens may not be related to two or more distinct individuals through the hasRegisteredVotingState property. From a maximum cardinality one restriction alone, a reasoner can not deduce a minimum cardinality of 1. It may be useful to state that certain classes have no values for a particular property. For example, instances of the class UnmarriedPerson should not be related to any individuals by the property hasSpouse. This situation is represented by a maximum cardinality of zero on the hasSpouse property on the class UnmarriedPerson.
• cardinality: Cardinality is provided as a convenience when it is useful to state that a property on a class has both minCardinality 0 and maxCardinality 0 or both minCardinality 1 and maxCardinality 1. For example, the class Person has exactly one value for the property hasBirthMother. From this a reasoner can deduce that no two distinct individual instances of the class Mother may be values for the hasBirthMother property of the same person.

3.6 OWL Lite Datatypes

3.7 OWL Lite Header Information

4. Incremental Language Description of OWL DL and OWL FULL

• oneOf (enumerated classes): Classes can be described by enumeration of the individuals that make up the class. The members of the class are exactly the set of enumerated individuals; no more, no less. For example, the class of daysOfTheWeek can be described by simply enumerating the individuals Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday. From this a reasoner can deduce the maximum cardinality (7) of any property that has daysOfTheWeek as its allValuesFrom restriction.
• hasValue (property values): A property can be required to have a certain individual as a value (also sometimes referred to as property values). For example, instances of the class of dutchCitizens can be characterized as those people that have theNetherlands as a value of their nationality. (TheNetherlands itself is an instance of the class of Nationalities).
• disjointWith: Full OWL allows the statement that classes are disjoint. For example, in OWL Man and Woman can be stated to be disjoint classes. From this disjointWith statement, a reasoner can deduce an inconsistency when an individual is stated to be an instance of both and similarly a reasoner can deduce that if A is an instance of Man, then A is not an instance of Woman.
• unionOf, complementOf, and intersectionOf (Boolean combinations): OWL allows arbitrary Boolean combinations of classes: IntersectionOf, UnionOf, and complementOf. For example, taking the intersection of the class of DutchCitizens with the class of SeniorCitizens describes the class of DutchSeniorCitizens. Using complement, we could state that Children are not SeniorCitizens (i.e. the class Children is a subclass of the complement of SeniorCitizens). Citizenship of the European Union could be described as the union of the citizenship of all member states.
• minCardinality, maxCardinality, cardinality (full cardinality): While in OWL Lite, cardinalities are restricted to at least, at most or exactly 1 or 0, full OWL allows cardinality statements for arbitrary non-negative integers. For example the class of DINKs ("Dual Income, No Kids") would restrict the cardinality of the property hasIncome to a minimum cardinality of two (while the property hasChild would have be restricted to cardinality 0).
• complex classes : In many constructs, OWL Lite restricts the syntax to single class names (e.g. in subClassOf or equivalentClass statements). Full OWL extends this restriction to allow arbitrarily complex class descriptions, consisting of enumerated classes, property restrictions, and Boolean combinations. OWL also includes a special "bottom" class with the name Nothing that is the empty class. Also, OWL full allows classes to be used as instances (and OWL DL and OWL Lite do not). For more on this topic, see the "Design for Use" section of the Guide document.

5. Summary