All Elephants are Bigger than All Mice

Sebastian RudolphSebastian Rudolph, Markus KrötzschMarkus Krötzsch, Pascal HitzlerPascal Hitzler

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Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
All Elephants are Bigger than All Mice
In Franz Baader, Carsten Lutz, Boris Motik, eds., Proceedings of the 21st International Workshop on Description Logics (DL2008), volume 353 of CEUR Workshop Proceedings, May 2008. CEUR-WS.org

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KurzfassungAbstract
We introduce the concept product as a new expressive feature to description logics (DLs). While this construct allows us to express an arguably very common and natural type of statement, it can be simulated only by the very expressive DL SROIQ for which no tight worst-case complexity is known. However, we show that concept products can also be added to the DLs SHOIQ and SHOI, and to the tractable DL EL++ without increasing the worst-case complexities in any of those cases. We therefore argue that concept products provide practically relevant expressivity at little cost, making them a good candidate for future extensions of the DL-based ontology language OWL.
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Forschungsgruppe:Research Group: Computational LogicComputational Logic, Wissensbasierte SystemeKnowledge-Based Systems

@inproceedings{RKH2008,
  author    = {Sebastian Rudolph and Markus Kr{\"{o}}tzsch and Pascal Hitzler},
  title     = {All Elephants are Bigger than All Mice},
  editor    = {Franz Baader and Carsten Lutz and Boris Motik},
  booktitle = {Proceedings of the 21st International Workshop on Description
               Logics (DL2008)},
  series    = {CEUR Workshop Proceedings},
  volume    = {353},
  publisher = {CEUR-WS.org},
  year      = {2008},
  month     = {May}
}