A Tableau Algorithm for Description Logics with Concrete Domains and GCIs

Carsten LutzCarsten Lutz, M. MilicicM. Milicic

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Carsten Lutz, M. Milicic
A Tableau Algorithm for Description Logics with Concrete Domains and GCIs
Proceedings of the 14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods TABLEAUX 2005, LNAI, 2005. Springer

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KurzfassungAbstract
In description logics (DLs), concrete domains are used for defining concepts based on concrete qualities of their instances such as the weight, age, duration, and spatial extension. So-called general concept inclusions (GCIs) play an important role for capturing background knowledge. It is well-known that, when combining concrete domains with GCIs, reasoning easily becomes undecidable. In this paper, we identify a general property of concrete domains that is sufficient for proving decidability of DLs with both concrete domains and GCIs. We exhibit some useful concrete domains, most notably a spatial one based on the RCC-8 relations, which have this property. Then, we present a tableau algorithm for reasoning in DLs equipped with concrete domains and GCIs.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

The final publication is available at Springer.

@inproceedings{ LutzMilicic-Tableaux2005,
  address = {Koblenz, Germany},
  author = {C. {Lutz} and M. {Milicic}},
  booktitle = {Proceedings of the 14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods {TABLEAUX 2005}},
  publisher = {Springer},
  series = {LNAI},
  title = {A Tableau Algorithm for Description Logics with Concrete Domains and GCIs},
  year = {2005},
}