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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 231–237
(Mi smj1952)
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This article is cited in 2 scientific papers (total in 2 papers)
Realization of Boolean functions by repetition-free formulas in a particular base
I. K. Sharankhaev Buryat State University, Institute for Mathematics and Informatics
Abstract:
Under study are the representations of Boolean functions by formulas. We offer a criterion for the Boolean functions to be repetition-free in the base $\{\vee,\cdot,-,0,1,x_1(x_2\vee x_3x_4)\vee x_5(x_3\vee x_2x_4)\}$.
Keywords:
Boolean function, formula, base, repetition-free function, weak-repetition function, almost elementary base.
Received: 07.07.2007
Citation:
I. K. Sharankhaev, “Realization of Boolean functions by repetition-free formulas in a particular base”, Sibirsk. Mat. Zh., 50:1 (2009), 231–237; Siberian Math. J., 50:1 (2009), 188–192
Linking options:
https://www.mathnet.ru/eng/smj1952 https://www.mathnet.ru/eng/smj/v50/i1/p231
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Abstract page: | 424 | Full-text PDF : | 118 | References: | 64 | First page: | 11 |
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