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Complexity of Arbitrary Functions of the Logic Algebra of a Small Number of Variables

https://doi.org/10.17586/0021-3454-2022-65-7-478-491

Abstract

A method for evaluating the complexity of arbitrary function of Boolean algebra is examined, based on presenting such a function as a composition of monotone functions. Accurate upper estimates have been received for the complexity of monotone and arbitrary functions depending on a small number of variables.

About the Author

О. N. Muzychenko
Research and Production Firm Meridian
Russian Federation

Oleg N. Muzychenko – Dr. Sci., Professor; Chief Designer of Information Control Systems

St. Petersburg



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Review

For citations:


Muzychenko О.N. Complexity of Arbitrary Functions of the Logic Algebra of a Small Number of Variables. Journal of Instrument Engineering. 2022;65(7):478-491. (In Russ.) https://doi.org/10.17586/0021-3454-2022-65-7-478-491

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ISSN 0021-3454 (Print)
ISSN 2500-0381 (Online)