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This article is cited in 3 scientific papers (total in 3 papers)
Closed classes in many-valued logic that contain the class of polynomials
G. P. Gavrilov
Abstract:
For the multivalued logic $P_k$, where $k=p^r$, $p$ is a prime number and $r\ge2$, we describe some families of closed classes which
contain the class $\operatorname{Pol}_k$ of polynomials and are contained in
the class $\mathfrak M_k$ of the functions preserving
congruence modulo $d=p^j$, $j=1,\dots,r-1$.
These classes are closely related to subsets of the special complete system
of the class $\mathfrak M_k$. We reveal a significant difference between the
cases where $p=2$ and $p=3$.
This research was supported by the Russian Foundation for Basic Research,
grant 94–01–01206.
Received: 22.05.1995
Citation:
G. P. Gavrilov, “Closed classes in many-valued logic that contain the class of polynomials”, Diskr. Mat., 9:2 (1997), 12–23; Discrete Math. Appl., 7:3 (1997), 231–242
Linking options:
https://www.mathnet.ru/eng/dm465https://doi.org/10.4213/dm465 https://www.mathnet.ru/eng/dm/v9/i2/p12
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