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Book Chapter

Introducing Epistemic Operators into a Description Logic


Hustadt,  Ullrich
Programming Logics, MPI for Informatics, Max Planck Society;

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Hustadt, U. (1995). Introducing Epistemic Operators into a Description Logic. In A. Laux, & H. Wansing (Eds.), Knowledge and Belief in Philosophie and Artificial Intelligence (pp. 65-85). Berlin, Germany: Akademie Verlag.

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We want to consider a dialog situation between a system and a heterogeneous group of dialog partners. Our problem is to find adequate representational means for describing the beliefs, goals, and plans of each agent. We assume that we can provide a sufficiently detailed description of the knowledge base of the system, but we don't have complete descriptions of the knowledge bases of all other participating agents. In this paper I propose an approach which is in line with the {\em modal logic approach\/} of Allgayer, Ohlbach, and Reddig (1992). The basic idea is to enhance a decidable fragment of first-order logic with modal operators for modeling the notions of belief, knowledge, and desires. To provide the initial knowledge base for agents, we support mutual and group beliefs, knowledge, and desires.