The modal logic of inequality

Journal of Symbolic Logic 57 (2):566-584 (1992)
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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DOI 10.2307/2275293
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Patrick Blackburn & Jerry Seligman (1995). Hybrid Languages. Journal of Logic, Language and Information 4 (3):251-272.
Philippe Balbiani (1998). The Modal Multilogic of Geometry. Journal of Applied Non-Classical Logics 8 (3):259-281.
Stefan Wölfl (2002). Propositional Q-Logic. Journal of Philosophical Logic 31 (5):387-414.

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