Geodesic
On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 70-79

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We consider closed classes of monotone functions in multivalued logic with respect to partially ordered sets that have a unique minimal element and two maximal elements or a unique maximal element and two minimal elements. We prove that any such class is either pre-precomplete or contained in an infinite number of closed classes, which have no predicate description.
Keywords: multivalued logic; monotone function; structure; predicate. 
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     title = {On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions},
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V. B. Larionov; V. S. Fedorova. On the structure complexity of closed classes containing some specific classes of monotone $k$-valued functions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 5 (2012) no. 1, pp. 70-79. http://geodesic.mathdoc.fr/item/IIGUM_2012_5_1_a6/