Geodesic
Completeness criteria for some classes of unary monotone functions in $P_k$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 57-61 
D. Yu. Panin. Completeness criteria for some classes of unary monotone functions in $P_k$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 57-61. http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Systems of unary monotone functions of multi-valued logic are considered. These functions are monotone with respect to partial orders of special form. Criteria for the completeness of the functional systems are obtained.

[1] Tardos G., “A not finitely generated maximal clone of monotone operations”, Order, 3 (1986), 211–218 | DOI | MR

[2] Lau D., Function algebras on finite sets: a basic course on many-valued logic and clone theory, Springer monogrpahs in mathematics, Springer-Verlag, Secaucus, N.J., 2006 | MR

[3] Dudakova O.S., “O konechnoi porozhdennosti predpolnykh klassov monotonnykh funktsii mnogoznachnoi logiki”, Matematicheskie voprosy kibernetiki, 17, Fizmatlit, M., 2008, 13–104

[4] Dudakova O.S., “O klassakh funktsii $k$-znachnoi logiki, monotonnykh otnositelno mnozhestv shiriny dva”, Vestn. Mosk. un-ta. Matem. Mekhan., 2008, no. 1, 31–37 | MR

[5] Panin D.Yu., “O porozhdenii odnomestnykh monotonnykh funktsii mnogoznachnoi logiki”, Vestn. Mosk. un-ta. Matem. Mekhan., 2010, no. 6, 52–55

[6] Panin D.Yu., “O nekotorykh svoistvakh odnomestnykh monotonnykh funktsii mnogoznachnoi logiki”, Problemy teoreticheskoi kibernetiki, Mat-ly XVI Mezhdunar. konf. (N. Novgorod, 20–25 iyunya 2011 g.), Izd-vo Nizhegorod. un-ta, N. Novgorod, 2011, 349–352

[7] Panin D.Yu., “O polnote sistem monotonnykh odnomestnykh funktsii v $P_k$”, Diskretnaya matematika i ee prilozheniya, Mat-ly XI Mezhdunar. seminara (Moskva, 18–23 iyunya 2012 g.), M., 2012, 210–212