Geodesic
On representation of $k$-valued logic functions by a~sum of products of subfunctions
Diskretnaya Matematika, Tome 19 (2007) no. 2, pp. 94-100

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The set of variables of a $k$-valued logic function $f(x_1,\dots,x_n)$ is partitioned into $t$ parts, $t>1$, and a polynomial representation of the function $f$ is considered where the terms are products of all possible subfunctions corresponding to the partitioning. We analyse conditions under which an arbitrary function admits a representation in such a polynomial form. 
@article{DM_2007_19_2_a10,
     author = {V. I. Panteleev and N. A. Peryazev},
     title = {On representation of $k$-valued logic functions by a~sum of products of subfunctions},
     journal = {Diskretnaya Matematika},
     pages = {94--100},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2007_19_2_a10/}
}
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V. I. Panteleev; N. A. Peryazev. On representation of $k$-valued logic functions by a~sum of products of subfunctions. Diskretnaya Matematika, Tome 19 (2007) no. 2, pp. 94-100. http://geodesic.mathdoc.fr/item/DM_2007_19_2_a10/