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On Implementation of Boolean Functions by Contact Circuits with a Constant Uniform Width

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Abstract

We introduce the concept of the uniform width of a contact circuit. For each Boolean function, we find the minimal possible value of the uniform width of a contact circuit implementing this function. We prove constructively that this value does not exceed 3. We also establish that, for almost all Boolean functions on n variables, it equals 3.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    K. A. Popkov

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  1. K. A. Popkov
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Correspondence to K. A. Popkov.

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Translated by I. Ruzanova

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Popkov, K.A. On Implementation of Boolean Functions by Contact Circuits with a Constant Uniform Width. Dokl. Math. 102, 502–504 (2020). https://doi.org/10.1134/S1064562420060150

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  • DOI: https://doi.org/10.1134/S1064562420060150

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