Geodesic
On an upper bound for the cardinality of a~minimal teaching set of a~threshold function
Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 5, pp. 35-46

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A new necessary and sufficient condition for belonging a point to a minimal teaching set of a threshold function of $k$-valued logic is proposed. This allows to extract a large subclass of threshold functions for which the cardinality of the minimal teaching set is bounded from above by a polynomial in $\log_k$ of degree $n-2$ when the number $n$ of variables is fixed. Ill. 1, bibliogr. 17.
Keywords: threshold function, teaching set, separation property. 
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     title = {On an upper bound for the cardinality of a~minimal teaching set of a~threshold function},
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N. Yu. Zolotykh; A. Yu. Chirkov. On an upper bound for the cardinality of a~minimal teaching set of a~threshold function. Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 5, pp. 35-46. http://geodesic.mathdoc.fr/item/DA_2012_19_5_a2/