Hyper arrow logic with indiscernibility and complementarity

Journal of Applied Non-Classical Logics 18 (2-3):137-152 (2008)
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Abstract

In this paper, we study indiscernibility relations and complementarity relations in hyper arrow structures. A first-order characterization of indiscernibility and complementarity is obtained through a duality result between hyper arrow structures and certain structures of relational type characterized by first-order conditions. A modal analysis of indiscernibility and complementarity is performed through a modal logic which modalities correspond to indiscernibility relations and complementarity relations in hyper arrow structures.

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References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
Logic of nondeterministic information.Ewa Orłowska - 1985 - Studia Logica 44 (1):91 - 100.
Many-dimensional arrow logics.Dimiter Vakarelov - 1996 - Journal of Applied Non-Classical Logics 6 (4):303-345.

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