A Rational Entailment for Expressive Description Logics via Description Logic Programs

Giovanni Casini, Umberto Straccia

Abstract: Lehmann and Magidor’s rational closure is acknowledged as a landmark in the field of non-monotonic logics and it has also been re-formulated in the context of Description Logics (DLs). We show here how to model a rational form of entailment for expressive DLs, such as $$\mathcal {SROIQ}$$ , providing a novel reasoning procedure that compiles a non-monotone DL knowledge base into a description logic program (dl-program).