2024/01/30 by Kabulov, Anvar, Baizhumanov, Abdussattar, Berdimurodov, Mansur
#03B50 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2401.17413
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.