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Binary terms in polynomial representations of Boolean functions

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Abstract

Polynomial representations of Boolean functions by binary terms are considered. The construction of terms involves variables and residual functions. Special cases of such representations are the decomposition of a function with respect to variables, Zhegalkin polynomials, and representations of functions as sums of conjunctions of residual functions.

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References

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Original Russian Text © A. S. Zinchenko, V. I. Panteleev, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 2, pp. 217–225.

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Zinchenko, A.S., Panteleev, V.I. Binary terms in polynomial representations of Boolean functions. Math Notes 81, 193–200 (2007). https://doi.org/10.1134/S0001434607010221

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  • DOI: https://doi.org/10.1134/S0001434607010221

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