All Elephants are Bigger than All Mice

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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

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Dowload slides of the presentation at DL 2008.

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.

Topics

Description logics

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