Submissions:Partition Revision as of 10:18, 7 October 2009 by OlafNoppens (Talk | contribs) (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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Last modified date is: 2009-10-07

General information

Name	Partition
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Author(s)
SubmittedBy	OlafNoppens

Description

Motivation	The Partition Pattern is a logical pattern that introduces axioms which model a partition of concepts. A partition is a general structure which is divided into several disjoint parts. With respect to ontologies the structure is a concept which is divided into several pair-wise disjoint concepts. This pattern reflects the simplest case where a named concept is defined as a partition of concepts.
Aim	The Partition Pattern describes how to model a partition, i.e., a named concept which is divided into several disjoint concepts. Applying this pattern to an ontology will introduce the necessary axioms.
Solution description	Let P be a named concept that is the partition which is divided into several concepts C_i. Then the partition is defined by introducing the following axioms (expressed in KRSS [1]): (define-concept P (or C0 C1 ... Cn) ) (disjoint Ci Cj) ( 0 ≤ i,j ≤ n, i ≠ j ). Here (disjoint C_i C_j)a placeholder for the pair-wise disjointness of all C_i. Note that C_i can also be arbitrary concept expressions (even if this is not allowed in the original KRSS syntax). In OWL 2 [2] the axioms can be expressed as follows (using OWL 2 Abstract Syntax): EquivalentClasses(P, ObjectUnionOf(C1, ..., Cn)) DisjointClasses(C1, ..., Cn) [1] Patel-Schneider, P. F., Swartout, B.: Description-Logic Knowledge Representation System Specification, 1993 [2] Motik, B., Patel-Schneider, P. F., Parsia, B.: OWL 2 Structural Specification and Functional-Style Syntax. W3C Candidate Recommendation 11 June 2009.
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Example

Problem example
Pattern solution example	http://www.informatik.uni-ulm.de/ki/Noppens/owl/patterns/partition.owl
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Pattern reference

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This revision (revision ID 5883) takes in account the reviews: Partition (Http://ontologydesignpatterns.org/wiki/Reviews:MartaSabou about Partition, Http://ontologydesignpatterns.org/wiki/Reviews:HenrikEriksson about Partition, Http://ontologydesignpatterns.org/wiki/Reviews:LuigiIannone about Partition 2)

Other info at evaluation tab

	Submission to event WOP2009:Main