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Reasoning on Class Relations: An Overview

  • Jan 1, 2013
  • Stephan Mäs
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Abstract

Class relations are used whenever the semantics of entire classes are described, independently of single entities. This chapter focuses on class relations that define cardinality restrictions for a certain instance relation (e.g., a topological relation) between all entities of the involved classes. Typical examples are spatial semantic integrity constraints or ontologies of geospatial entity classes. Reasoning on such class relations allows for the detection of inconsistencies and redundancies in sets of class relations. Therefore the logical properties of the applied instance relations and those of the cardinality restrictions have to be considered, in particular symmetry and compositions, but also other inferences. The chapter provides a summary of research and a discussion of open issues for future work on class relation reasoning.

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