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Diskretnaya Matematika, 1996, Volume 8, Issue 2, Pages 117–132
DOI: https://doi.org/10.4213/dm523 (Mi dm523) 		 
Checking tests for superpositions of Boolean functions from elementary homogeneous functions

N. A. Solov'ev
Full-text PDF (1784 kB)
DOI: https://doi.org/10.4213/dm523
Abstract: We consider the Shannon function for superpositions of Boolean functions of elementary homogeneous functions (constant, negation, conjunction, disjunction and addition modulo 2) which characterizes the length of the minimal checking test. We point out a class of the initial Boolean functions such that the Shannon function is attained on superpositions of those functions. A general approach to solving similar problems is suggested which is based on the analysis of the distinguishability tables.
Received: 25.05.1992
Bibliographic databases:
UDC: 519.714
Language: Russian
Citation: N. A. Solov'ev, “Checking tests for superpositions of Boolean functions from elementary homogeneous functions”, Diskr. Mat., 8:2 (1996), 117–132; Discrete Math. Appl., 6:3 (1996), 241–255
Citation in format AMSBIB
\Bibitem{Sol96}
\by N.~A.~Solov'ev
\paper Checking tests for superpositions of Boolean functions from elementary homogeneous functions
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 2
\pages 117--132
\mathnet{http://mi.mathnet.ru/dm523}
\crossref{https://doi.org/10.4213/dm523}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1405514}
\zmath{https://zbmath.org/?q=an:0863.94035}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 3
\pages 241--255
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