This article is cited in 1 paper

The realization of functions of the $P_k$ by formulae ($k\geqslant3$)

E. Yu. Zakharova

Institute of Applied Mathematics, Academy of Sciences of the USSR

Abstract: In this note we study the realization of the functions of many-valued logic by formulae in a special basis subject to the condition that the functions of the basis are of arbitrary weight. An asymptotic bound is obtained for Shannon's function in this case.

UDC: 51.01

Received: 12.10.1970

 English version: Mathematical Notes, 1972, 11:1, 64–69

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