Moscow University Press
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The Lattice of Closed Classes of Self-Dual Functions of Three-Valued Logic

The Lattice of Closed Classes of Self-Dual Functions of Three-Valued Logic

Решетка замкнутых классов самодвойственных функций трёхзначной логики
book lists maths
ISBN: 978-5-211-05969-6 publication date: 2011 format: 60х90 1/16 pages': 109
Abstract

The book describes the lattice of closed classes of three-valued logic that are embedded in the precomplete class of self-dual functions. Unlike the linear class, this is the first precomplete class of which we have been able to obtain a description. With the help of this description, various properties of closed classes of self-dual functions are proved. In particular, all closed classes have been shown to have a (finite or infinite) basis, all finitely generated and predicate-decomposable classes have been identified, and the powers of the sublattices and sublattices for each closed class have been found.
For students, graduate students and researchers specializing in the field of discrete mathematics.

To cite this article
Zhuk D.N. The Lattice of Closed Classes of Self-Dual Functions of Three-Valued Logic — Moscow: Moscow University Press, 2011. — 109 p.
About the author
Zhuk D.N.