Analytical transformations in minimizing logical functions

Ahstract-The methods of logic algebra (Boolean algebra) are necessary for the study of a number of important problems in various science fields: biology, medicine, military science, automation, control, planning of experiments, wherever the quantitative relations between the values characterizing the processes under consideration are significant, and moreover, the logical dependencies connecting them are also essential. The Boolean function describes the functioning of the control system, and the implementation of its formula, in particular, the disjunctive normal form disjunctive normal form, gives a description of this system scheme, so that the nodes and elements of the scheme correspond to the terms and letters of the disjunctive normal form As a rule, the Boolean function has many different disjunctive normal form In mathematical logic, they are considered from a qualitative point of view. This article is devoted to analytical transforms in minimizing logical functions in the class of disjunctive normal forms.