Periodicity of Negation

Notre Dame Journal of Formal Logic 42 (2):87-99 (2001)
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In the context of a distributive lattice we specify the sort of mappings that could be generally called ''negations'' and study their behavior under iteration. We show that there are periodic and nonperiodic ones. Natural periodic negations exist with periods 2, 3, and 4 and pace 2, as well as natural nonperiodic ones, arising from the interaction of interior and quasi interior mappings with the pseudocomplement. For any n and any even , negations of period n and pace s can also be constructed, but in a rather ad hoc and trivial way



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Athanassios Tzouvaras
Aristotle University of Thessaloniki (PhD)

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Many-valued logics.Grzegorz Malinowski - 1993 - New York: Oxford University Press. Edited by L. Goble.
Modality and possibility in some intuitionistic modal logics.Josep M. Font - 1986 - Notre Dame Journal of Formal Logic 27 (4):533-546.
Introduction to a general theory of elementary propositions.Emil L. Post - 1921 - American Journal of Mathematics 43 (3):163--185.

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