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Article

Closed Classes of Three-Valued Logic Generated by Systems Containing Symmetric Functions

Moscow University Mathematics Bulletin. 2012. Vol. 67. No. 1. P. 41-45.
Mikhailovich A.

Closed classes of functions of three-valued logic whose generating systems include nonmonotone symmetric functions taking values in the set {0,1} are studied. It is shown that in some cases the problems of existence of a basis and existence of a finite basis can be reduced to a similar problem for reduced generated systems.