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Multilevel Representation and Complexity of Circuits of Unbounded Fan-In Gates

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Abstract

A new simpler proof of the asymptotic \(C(n)\sim\sqrt{2}\cdot 2^{n/2}\) of the Shannon function of the circuit complexity over the basis of multi-input generalized conjunctions is obtained.

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REFERENCES

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 19–01–00294a.

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Correspondence to I. S. Sergeev.

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Translated by I. Obrezanova

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Sergeev, I.S. Multilevel Representation and Complexity of Circuits of Unbounded Fan-In Gates. Moscow Univ. Math. Bull. 75, 121–125 (2020). https://doi.org/10.3103/S0027132220030055

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  • DOI: https://doi.org/10.3103/S0027132220030055

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