Geodesic
The closure operator in many-valued logic based on functional equations
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 4, pp. 18-31

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On the set of many-valued logic functions the FE-closure operator based on functional equations is introduced. It is proved that the FE-closure operator generates a finite classification on the set $P_k$ of $k$-valued logic functions for every $k\ge2$. It is established that the least class in this classification is the class $H_k$ of homogeneous functions. A series of corollaries about finite FE-generating sets in FE-closed classes are deduced. Bibliogr. 24.
Keywords: many-valued logic function, functional equation, FE-closure operator. 
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     author = {S. S. Marchenkov},
     title = {The closure operator in many-valued logic based on functional equations},
     journal = {Diskretnyj analiz i issledovanie operacij},
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     publisher = {mathdoc},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/DA_2010_17_4_a1/}
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S. S. Marchenkov. The closure operator in many-valued logic based on functional equations. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 4, pp. 18-31. http://geodesic.mathdoc.fr/item/DA_2010_17_4_a1/