Geodesic
On one continual set of $\beta$-closed classes of the multivalued logic functions
Prikladnaâ diskretnaâ matematika, no. 2 (2014), pp. 12-20

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The paper studies $\beta$-closed classes of the multivalued logic functions, where the $\beta$-closure operator is defined on the basis of the functions encoding in the binary number system. A continual set of $\beta$-closed classes, which contain only functions taking no more than three values, is given and some of its properties are proved.
Keywords: multivalued logic functions, closed classes, $\beta$-closure.
Mots-clés : superposition 
@article{PDM_2014_2_a1,
     author = {D. K. Podolko},
     title = {On one continual set of  $\beta$-closed classes of the multivalued logic functions},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {12--20},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2014_2_a1/}
}
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D. K. Podolko. On one continual set of  $\beta$-closed classes of the multivalued logic functions. Prikladnaâ diskretnaâ matematika, no. 2 (2014), pp. 12-20. http://geodesic.mathdoc.fr/item/PDM_2014_2_a1/