This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. A. Bovdi, Group Rings [in Russian], Uzhgorod. Univ., Uzhgorod (1974).
I. É. Strazdin' “Subalgebras in the algebra of Boolean functions of three variables,” in: Automation and computer Technology [in Russian], Vol. 3, (1962), pp. 35–53.
I. É. Strazdin' “The group of self-dual transformations of Booleans function,” in: Theory of Discrete Automata [in Russian], Riga (1967), pp. 191–199.
N. F. Kammozev and A. V. Sychev, “Spectral interpretation of the method of integer realization of threshold elements,” Avtom. Vychisl. Tekh., No. 2, 7–11 (1978).
N. N. Aizenberg, Yu. L. Ivas'kiv, D. A. Pospelov, and G. F. Khudyakov, “Multivalued threshold functions. II. Synthesis of multiple threshold elements,” Kibernetika, No. 1, 53–66 (1973).
M. Dertouzos, Threshold Logic, MIT Press, Cambridge, Mass. (1965).
S. Yajima and T. Ibaraki, “A lower bound on the number of threshold functions, IEEE Trans. Electron. Comput.,EC−14, 926 (1965).
N. N. Aizenberg and Yu. L. Ivas'kiv, Multivalued Threshold Logic [in Russian], Naukova Dumka, Kiev (1977).
E. Yu. Zakharova, “Synthesis of threshold-element circuits,” Probl. Kibern., No. 9, 317–319, (1963).
L. A. Sholomov, “A class of logic functions related to threshold functions,” Probl. Kibern., No. 13, 97–113 (1965).
Additional information
Translated from Kibernetika, No. 2, pp. 26–30, March–April, 1980.
Rights and permissions
About this article
Cite this article
Aizenberg, N.N., Bovdi, A.A., Gergo, É.I. et al. Algebraic aspects of threshold logic. Cybern Syst Anal 16, 188–193 (1980). https://doi.org/10.1007/BF01069103
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01069103