Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 3, Pages 42–46 (Mi vmumm4327)  
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Multilevel representation and complexity of circuits of unbounded fan-in gates

I. S. Sergeev

Research Institute "Kvant", Moscow
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Abstract: A new simpler proof of the asymptotic $C(n)\sim\sqrt2\cdot2^{n/2}$ of the Shannon function of the circuit complexity over the basis of multi-input generalized conjunctions is obtained.
Key words: Boolean functions, Boolean circuits, complexity, multilevel representation.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00294а
Received: 28.02.2018
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 3, Pages 121–125
DOI: https://doi.org/10.3103/S0027132220030055
Bibliographic databases:
Document Type: Article
UDC: 519.714
Language: Russian
Citation: I. S. Sergeev, “Multilevel representation and complexity of circuits of unbounded fan-in gates”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 3, 42–46; Moscow University Mathematics Bulletin, 75:3 (2020), 121–125
Citation in format AMSBIB
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