01542nas a2200181   4500008004100000245006100041210006100102260003000163300001300193490000900206520099500215100001801210700001601228700002001244700002301264700002301287856005001310       2011                        eng d00aParaconsistent Semantics for Hybrid MKNF Knowledge Bases0 aParaconsistent Semantics for Hybrid MKNF Knowledge Bases  aGalway, IrelandbSpringer  a93–1070 v69023 a<p class="rtejustify">Hybrid MKNF knowledge bases, originally based on the stable model semantics, is a mature method of combining rules and Description Logics (DLs). The well-founded semantics for such knowledge bases has been proposed subsequently for better efficiency of reasoning. However, integration of rules and DLs may give rise to inconsistencies, even if they are respectively consistent. Accordingly, reasoning systems based on the previous two semantics will break down. In this paper, we employ the four-valued logic proposed by Belnap, and present a paraconsistent semantics for Hybrid MKNF knowledge bases, which can detect inconsistencies and handle it effectively. Besides, we transform our proposed semantics to the stable model semantics via a linear transformation operator, which indicates that the data complexity in our paradigm is not higher than that of classical reasoning. Moreover, we provide a fixpoint algorithm for computing paraconsistent MKNF models.</p>
1 aHuang, Shasha1 aLi, Qingguo1 aHitzler, Pascal1 aRudolph, Sebastian1 aGutierrez, Claudio  uhttp://dx.doi.org/10.1007/978-3-642-23580-1_8