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11
Issue
vol 67 / November, 2024
Article

DOI 10.17586/0021-3454-2022-65-7-478-491

UDC 62-507.15

COMPLEXITY OF ARBITRARY FUNCTIONS OF THE LOGIC ALGEBRA OF A SMALL NUMBER OF VARIABLES

O. N. Muzychenko
Research and Production Firm Meridian JSC; Chief Designer of Information Control Systems;


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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.
Keywords: monotone and arbitrary logic functions, complexity

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