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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Leo Esakia (2004). Intuitionistic Logic and Modality Via Topology. Annals of Pure and Applied Logic 127 (1-3):155-170.
Emiliano Lorini (2013). Temporal Logic and its Application to Normative Reasoning. Journal of Applied Non-Classical Logics 23 (4):372-399.

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Maarten de Rijke (1992). The Modal Logic of Inequality. Journal of Symbolic Logic 57 (2):566-584.
Bruce M. Kapron (1987). Modal Sequents and Definability. Journal of Symbolic Logic 52 (3):756-762.

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