Geodesic
A family of classes of functions closed with respect to a strengthened superposition operation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 27-31

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The paper concerns the operation of binary superposition determined for the $k$-valued logic functions ($k=2^m,~m\geq 2$) on the basis of their representation in the binary number system. A description of the set of classes containing only functions taking not more than two values and closed under the operations of binary superposition and addition of fictitious variables is given. 
@article{VMUMM_2015_2_a4,
     author = {D. K. Podol'ko},
     title = {A family of classes of functions closed with respect to a strengthened superposition operation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {27--31},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a4/}
}
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D. K. Podol'ko. A family of classes of functions closed with respect to a strengthened superposition operation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 27-31. http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a4/