All Elephants are Bigger than All Mice
Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
All Elephants are Bigger than All Mice
Abstract. We introduce the concept product as a new expressive feature for 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.
Published at DL-08 (Workshop paper)
Download PDF (last update: March 25 2008)
Citation details
- Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler. All Elephants are Bigger than All Mice. In Proceedings of the 21st International Workshop on Description Logics (DL-08). CEUR Workshop ProceedingsProperty "Publisher" has a restricted application area and cannot be used as annotation property by a user. 2008.
author = {Sebastian Rudolph and Markus Kr\"{o}tzsch
and Pascal Hitzler},
title = {All Elephants are Bigger than All Mice},
crossref = {dl08}
}
@proceedings{dl08,
editor = {Franz Baader and Carsten Lutz and Boris Motik},
title = {Proceedings of the 21st International Workshop on
Description Logics (DL'08)},
booktitle = {Proceedings of the 21st International Workshop on
Description Logics (DL'08)},
publisher = {CEUR-WS.org},
series = {CEUR Workshop Proceedings},
volume = {353},
year = {2008}
}
Talk slides
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Erratum
The introduction of an earlier version of this paper contained a number of example statements that actually were no (obvious) examples for concept products. More suitable examples have been supplied now. All apologies for the confusion.