Approximation and Difference in Description Logics

S. BrandtS. Brandt, R. KüstersR. Küsters, Anni-Yasmin TurhanAnni-Yasmin Turhan

Datei:BrandtKuesters+-KR-02.ps.gz

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S. Brandt, R. Küsters, Anni-Yasmin Turhan
Approximation and Difference in Description Logics
In D. Fensel and F. Giunchiglia and D. McGuiness and M.-A. Williams, eds., Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002), 203-214, 2002. Morgan Kaufman

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KurzfassungAbstract
Approximation is a new inference service in Description Logics first mentioned by Baader, Küsters, and Molitor. Approximating a concept, defined in one Description Logic, means to translate this concept to another concept, defined in a second typically less expressive Description Logic, such that both concepts are as closely related as possible with respect to subsumption. The present paper provides the first in-depth investigation of this inference task. We prove that approximations from the Description Logic ALC to ALE always exist and propose an algorithm computing them. As a measure for the accuracy of the approximation, we introduce a syntax-oriented difference operator, which yields a concept that contains all aspects of the approximated concept that are not present in the approximation. It is also argued that a purely semantical difference operator, as introduced by Teege, is less suited for this purpose. Finally, for the logics under consideration, we propose an algorithm computing the difference.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@inproceedings{ BrKuTu-KR-02,
  address = {San Francisco, CA},
  author = {S. {Brandt} and R. {K{\"u}sters} and A.-Y. {Turhan}},
  booktitle = {Proceedings of the Eighth International Conference on Principles of Knowledge Representation and Reasoning (KR2002)},
  editor = {D. {Fensel} and F. {Giunchiglia} and D. {McGuiness} and M.-A. {Williams}},
  pages = {203--214},
  publisher = {Morgan Kaufman},
  title = {Approximation and Difference in Description Logics},
  year = {2002},
}