Geodesic
On some implicitly precomplete classes of monotone functions in $P_k$
Diskretnaya Matematika, Tome 30 (2018) no. 4, pp. 106-114

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The paper is concerned with the completeness problem in implicit expressibility in a multi-valued logics $P_k$. For each $k\geq 2$ and any nontrivial order relation on the set $\{0,1,\dots,k-1\}$ we find two implicitly precomplete classes of functions which are monotone with respect to this order
Keywords: many-valued logics, implicit expressibility, maximal classes, monotone function. 
@article{DM_2018_30_4_a9,
     author = {M. V. Starostin},
     title = {On some implicitly precomplete classes of monotone functions in $P_k$},
     journal = {Diskretnaya Matematika},
     pages = {106--114},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2018_30_4_a9/}
}
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M. V. Starostin. On some implicitly precomplete classes of monotone functions in $P_k$. Diskretnaya Matematika, Tome 30 (2018) no. 4, pp. 106-114. http://geodesic.mathdoc.fr/item/DM_2018_30_4_a9/