Description Logics (DLs) are used to represent and to reason about terminological knowledge. Research in the field of DLs has mainly been driven by inventing decision algorithms for so-called standard inference problems, such as subsumption and instance checking, in more and more expressive DLs. Along this line, the computational complexity of standard inferences has been studied thoroughly and implementations of the developed sound and complete algorithms have been integrated into DL-systems. In what follows, we briefly review this key branch of research in DLs before, in the next chapter, nonstandard inferences are presented (see, for instance, [DLNN97, BS00] for a more detailed description of standard inferences and the underlying techniques to solve them).
KeywordsNormal Form Description Logic Expressive Power Semantic Network Regular Language
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