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arXiv · 1810.05086

Set Representation of Dynamic De Morgan algebras

Ivan Chajda·Jan Paseka
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Abstract

By a De Morgan algebra is meant a bounded poset equipped with an antitone involution considered as negation. Such an algebra can be considered as an algebraic axiomatization of a propositional logic satisfying the double negation law. Our aim is to introduce the so-called tense operators in every De Morgan algebra for to get an algebraic counterpart of a tense logic with negation satisfying the double negation law which need not be Boolean. Following the standard construction of tense operators $G$ and $H$ by a frame we solve the following question: if a dynamic De Morgan algebra is given, how to find a frame such that its tense operators $G$ and $H$ can be reached by this construction.

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BibTeXRIS

Ivan Chajda, Jan Paseka. 2018-10-11. Set Representation of Dynamic De Morgan algebras. https://doi.org/10.1109/ismvl.2013.56.

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