All Elephants are Bigger than All Mice

Abstract. We investigate the concept product as an 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.

• Type: Conference
• Year: 2008
• Where: DLOG
• Authors: Sebastian Rudolph, Markus Krötzsch, Pascal Hitzler
• Keywords: Automated Reasoning, Concept Products, DLOG 2008, Expressive Dl Sroiq, Tight Worst-case Complexity