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The Existence of Universal Polynomials for the Class of Linear Functions in Even-Valued Logics

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Abstract

It was shown earlier that product \(xy\) is a universal function for the class of linear functions of two variables for \(k=6l\pm 1\). In this work, it is shown that there are no universal polynomials for classes of linear functions of two variables for even \(k\).

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REFERENCES

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Correspondence to A. A. Voronenko.

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Translated by I. Tselishcheva

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Voronenko, A.A. The Existence of Universal Polynomials for the Class of Linear Functions in Even-Valued Logics. MoscowUniv.Comput.Math.Cybern. 47, 61–62 (2023). https://doi.org/10.3103/S0278641923020085

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  • DOI: https://doi.org/10.3103/S0278641923020085

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