Geodesic
Classes of functions of multi-valued logic closed with respect to superposition and inversion operations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 3-6

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The closure under composition and inversion operations is considered on the set of functions of the $k$-valued logic. A full description of such closed classes is obtained. 
@article{VMUMM_2017_2_a0,
     author = {D. E. Starodubtsev},
     title = {Classes of functions of multi-valued logic closed with respect to superposition and inversion operations},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--6},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a0/}
}
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D. E. Starodubtsev. Classes of functions of multi-valued logic closed with respect to superposition and inversion operations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2017), pp. 3-6. http://geodesic.mathdoc.fr/item/VMUMM_2017_2_a0/