On finite generating subsets in monotone clones of many-valued logic
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 3, pp. 49-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of existence of finite generating systems in maximal clones of monotone functions of many-valued logic is considered. It is proved that if a finite bounded poset contains $\sup(x,y)$ or $\inf(x,y)$ for every two elements $x$ and $y$, then the clones of all monotone functions in this poset is finitely generated.
Keywords: functions of many-valued logic, clones, maximal clones of monotone functions of $P_k$.
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O. S. Dudakova. On finite generating subsets in monotone clones of many-valued logic. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 3, pp. 49-54. http://geodesic.mathdoc.fr/item/UZKU_2014_156_3_a4/

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