High-Accuracy Bounds of the Shannon Function for Formula Complexity in Bases with Direct and Iterative Variables


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We consider the realization of Boolean functions by formulas with restrictions on superpositions of basis functions such that superposition is allowed only by iterative variables. For a number of special symmetrical bases, we establish new high-accuracy bounds of the Shannon function L(n) for the complexity of realization of Boolean functions dependent on n direct variables.

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V. Konovodov

Yandeks Technology

Autor responsável pela correspondência
Email: vkonovodov@gmail.com
Rússia, Moscow

S. Lozhkin

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Email: vkonovodov@gmail.com
Rússia, Moscow

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