On the papers of O. M. Kasim-Zade in field of complexity theory and theory of multivalued logics

The paper is an attempt both to give an overview of the results of O M Kasim-Zade, the largest specialist in discrete mathematics and mathematical cybernetics, and to understand his scientific legacy in fields such as research measures the circuit complexity of Boolean functions related to the operation of the circuits, the problems of implicit and parametric expressibility in finite-valued logics, the questions of the depth and the complexity of Boolean functions and functions of multivalued logics in infinite bases.