Abstract
Description Logics (DLs) are the formalism underlying the standard web ontology language OWL 2. DLs have formal semantics which are the basis for powerful reasoning services. In this paper, we introduce the basic notions of DLs and the techniques that realize subsumption—the fundamental reasoning service of DL systems. We discuss two reasoning methods for this service: the tableau method for expressive DLs such as \(\mathcal{ALC}\) and the completion method for the light-weight DL \(\mathcal{EL}\). We also present methods for generating explanations for computed subsumption relationships in these two DLs.
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