Paraconsistent Reasoning for OWL 2
Yue Ma, Pascal Hitzler · 2009
Abstract. A four-valued description logic has been proposed to reason with de-scription 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 de-scription 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 forALC and show that we can retain most of the desired properties. 1