Geodesic
Closed classes in many-valued logic that contain the class of polynomials
Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 12-23

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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. 
@article{DM_1997_9_2_a1,
     author = {G. P. Gavrilov},
     title = {Closed classes in many-valued logic that contain the class of polynomials},
     journal = {Diskretnaya Matematika},
     pages = {12--23},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_2_a1/}
}
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G. P. Gavrilov. Closed classes in many-valued logic that contain the class of polynomials. Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 12-23. http://geodesic.mathdoc.fr/item/DM_1997_9_2_a1/