Abstract

In this paper, we present a preferential semantics of a multi-modal nonmonotonic logic. By distinguishing different levels of nonmonotonicity exhibited by modal nonmonotonic logics, we argue that the previously constructed modal non-monotonic logics (e.g. McDermott's nonmonotonic logic and Moore's autoepistemic logic) are mostly concerned with a level of nonmonotonicity that is dependent on the underlying modal systems. There is, however, another level of nonmonotonicity that is by itself independent on the underlying modal system. Modal logics constructed to exhibit the latter level of nonmonotonicity are dependent on the conventions imposed at the level of meta-language.

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