The modal logic of inequality

Journal of Symbolic Logic 57 (2):566-584 (1992)
Abstract
We consider some modal languages with a modal operator $D$ whose semantics is based on the relation of inequality. Basic logical properties such as definability, expressive power and completeness are studied. Also, some connections with a number of other recent proposals to extend the standard modal language are pointed at
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    Wiebe Hoek & Maarten Rijke (1993). Generalized Quantifiers and Modal Logic. Journal of Logic, Language and Information 2 (1):19-58.
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