Algorithms for minimizing functions of the algebra of logic in the class of disjunctive normal forms and estimating their complexity

Abstract

The paper considers the problem of minimizing functions of the algebra of logic in the class of disjunctive normal forms. Algorithms for complete enumeration and bounded complexity for finding the shortest disjunctive normal forms of functions of the algebra of logic are developed and estimates for their complexity are calculated. An algorithm for minimizing the functions of the logic algebra of logic in the class of disjunctive normal forms is constructed based on the calculation of the error of the neighborhood of the first order of elementary conjunctions. The local analysis in the directed enumeration algorithm is investigated and its algorithmic complexity is estimated.