High-Accuracy Bounds of the Shannon Function for Formula Complexity in Bases with Direct and Iterative Variables
- Autores: Konovodov V.A.1, Lozhkin S.A.2
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Afiliações:
- Yandeks Technology
- Faculty of Computational Mathematics and Cybernetics, Moscow State University
- Edição: Volume 30, Nº 1 (2019)
- Páginas: 26-35
- Seção: Article
- URL: https://journals.rcsi.science/1046-283X/article/view/247822
- DOI: https://doi.org/10.1007/s10598-019-09431-4
- ID: 247822
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Resumo
We consider the realization of Boolean functions by formulas with restrictions on superpositions of basis functions such that superposition is allowed only by iterative variables. For a number of special symmetrical bases, we establish new high-accuracy bounds of the Shannon function L(n) for the complexity of realization of Boolean functions dependent on n direct variables.
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Sobre autores
V. Konovodov
Yandeks Technology
Autor responsável pela correspondência
Email: vkonovodov@gmail.com
Rússia, Moscow
S. Lozhkin
Faculty of Computational Mathematics and Cybernetics, Moscow State University
Email: vkonovodov@gmail.com
Rússia, Moscow
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