This article is cited in 1 paper

The XV International Conference "Problems of Theoretical Cybernetics"

Classes of Functions of the $k$-valued Logic Monotone with Respect to Partially Ordered Sets

O. S. Dudakova

A. M. Lyapunov French-Russian Institute of applied mathematics and informatics, M. V. Lomonosov MSU

Abstract: A criterion for the property of being finitely generated is obtained for classes of functions monotone with respect to partially ordered sets of certain type.

Keywords: $k$-valued logic, monotone functions of the $k$-valued logic, monotone clones, finite basis.

UDC: 519.716

Received: 06.04.2009