×

Synthesis of multifunction and universal logic elements over residue class rings. I. (English. Russian original) Zbl 0677.94016

Cybernetics 24, No. 4, 493-499 (1988); translation from Kibernetika 1988, No. 4, 89-94 (1988).
Summary: Results of mathematical modelling of logic elements over residue class rings are presented. These results constitute a new approach to the description of logic functions.

MSC:

94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] N. N. Aizenberg and Yu. L. Ivas’kiv, Many-Valued Threshold Logic [in Russian], Naukova Dumka, Kiev (1977).
[2] M. Dertouzos, Threshold Logic, MIT Press, Cambridge, Mass. (1965).
[3] N. N. Aizenberg, ?The convolution spectrum of arbitrary signals in an arbitrary basis,? Dokl. Akad. Nauk SSSR,241, No. 3, 551?554 (1978).
[4] N. N. Aizenberg and O. T. Trofimlyuk, ?Conjunctive transformations of discrete signals and their application for construction of tests and recognition of monotonicity of Boolean functions,? Kibernetika, No. 5, 138?139 (1981).
[5] V. M. Glushkov, Synthesis of Digital Automata [in Russian], Fizmatigiz, Moscow (1962). · Zbl 0104.35404
[6] E. A. Butakov, Methods of Synthesis of Logic Devices from Threshold Elements [in Russian], Énergiya, Moscow (1970).
[7] N. G. Dyadyunov and A. I. Senin, Orthogonal and Quasiorthogonal Signals [in Russian], Svyaz’, Moscow (1977).
[8] W. Peterson and E. Weldon, Error-Correcting Codes [Russian translation], Mir, Moscow (1976). · Zbl 0251.94007
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.