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arXiv · 2401.17413

On the minimization k-valued logic functions in the class of disjunctive normal forms

Anvar Kabulov·Abdussattar Baizhumanov·Mansur Berdimurodov
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Abstract

The paper considers the representation of k-valued logical functions in the class of disjunctive normal forms. Various classes of monotone functions of k-valued logic are investigated. Theorems are proved on the coincidence of reduced and shortest disjunctive nominal forms of k-valued functions. For a certain class of k-valued monotone functions, we prove an estimate for the number of functions in this class. we prove criteria for the absorption of elementary conjunctions by a first-order neighborhood of disjunctive normal forms of k-valued functions.

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Anvar Kabulov, Abdussattar Baizhumanov, Mansur Berdimurodov. 2024-01-30. On the minimization k-valued logic functions in the class of disjunctive normal forms. https://arxiv.org/abs/2401.17413

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