Volume 19, No 5, 2012, P. 35-46
UDC 519.7
N. Yu. Zolotykh, A. Yu. Chirkov
În an upper bound for the cardinality of a minimal teaching set of a threshold function
Abstract:
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.
Zolotykh Nikolai Yurievich 1
Chirkov Alexander Yurievich 1
1. Nizhniy Novgorod State University,
23 Gagarina ave., 603950 Nizhniy Novgorod, Russia
e-mail: zolotykh@vmk.unn.ru, chirkov@vmk.unn.ru
