Abstract
We investigate algorithms for hybrid inferences in KL-ONE-based knowledge representation systems. We employ two kinds of formalisms: the terminological and the assertional formalism. The terminological formalism consists of a concept description language to define concepts and relations between concepts for describing a terminology. On the other hand, the assertional formalism allows to introduce objects, which are instances of concepts and relations of a terminology. We present algorithms for hybrid inferences such as determining subsumption between concepts checking the consistency of such a knowledge base computing the most specialized concepts an object is instance of computing all objects that are instances of a certain concept.
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