Innovations in the “Boolean Functions” Section of the Discrete Mathematics Course

Alexander N. Vybornov, Alexander A. Rusakov · 2023

This paper proposes innovations in teaching the course of discrete mathematics at universities, innovations refer to the “Boolean functions” section. A fast method for constructing the Zhegalkin polynomial for a given Boolean function is proposed. Also, for the use of Post’s theorem on the functional completeness is proposed a visual method for determining the presence of monotonicity of a Boolean function and a convenient criterion for determining whether given Boolean function is affine.

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