01311nas a2200169 4500008004100000245003900041210003900080260003300119300001400152490000900166520084400175100001201019700002001031700001901051700002001070856005101090 2009 eng d00aParaconsistent Reasoning for OWL 20 aParaconsistent Reasoning for OWL 2 aChantilly, VA, USAbSpringer a197–2110 v58373 a
A four-valued description logic has been proposed to reason with description logic based inconsistent knowledge bases. This approach has a distinct advantage that it can be implemented by invoking classical reasoners to keep the same complexity as under the classical semantics. However, this approach has so far only been studied for the basid description logic ALC. In this paper, we further study how to extend the four-valued semantics to the more expressive description logic SROIQ which underlies the forthcoming revision of the Web Ontology Language, OWL 2, and also investigate how it fares when adapated to tractable description logics including EL++, DL-Lite, and Horn-DLs. We define the four-valued semantics along the same lines as for ALC and show that we can retain most of the desired properties.
1 aMa, Yue1 aHitzler, Pascal1 aPolleres, Axel1 aSwift, Terrance uhttp://dx.doi.org/10.1007/978-3-642-05082-4_14