Short notes

Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set $\mathcal{L}^3_2$

A. V. Makarov^a, V. V. Makarov<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Institute for Integrated Security and Special Instrumentation, MIREA – Russian Technological University, Moscow

Abstract: It is proved that the set of closed classes containing some minimal classes in the partially ordered set $\mathcal{L}^3_2$ of closed classes in the three-valued logic that can be homomorphically mapped onto the two-valued logic has continuum cardinality.

Key words: three-valued logic, closed class, partially ordered set, homomorphism, minimal class.

UDC: 519.95

Received: 24.10.2018

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