Abstract
Concrete domains are an extension of Description Logics (DLs) allowing to integrate reasoning about conceptual knowledge with reasoning about “concrete properties” of objects such as sizes, weights, and durations. It is known that reasoning with ALC(D), the basic DL admitting concrete domains, is PSpace-complete. In this paper, it is shown that the upper bound is not robust: we give three examples for seemingly harmless extensions of ALC(D)—namely acyclic TBoxes, inverse roles, and a role-forming concrete domain constructor—that make reasoning NExpTime-hard. As a corresponding upper bound, we show that reasoning with all three extensions together is in NExpTime.KeywordsDescription LogicConcrete PropertyAbstract FeatureConcrete DomainConcrete FeatureThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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