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Mat. Sb., 2025 Volume 216, Number 6, Pages 3–45 (Mi sm10159)

Half-duplex communication complexity with adversary can be less than the classical communication complexity

N. K. Vereshchaginab, M. V. Dektiareva

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
b Faculty of Computer Science, National Research University Higher School of Economics, Moscow, Russia

Abstract: Half-duplex communication complexity with adversary was defined in [2]. Half-duplex communication protocols generalize classical protocols defined by Yao in [11]. It has been unknown so far whether or not the communication complexities defined by these models are different. In the present paper we answer this question: we exhibit a function whose half-duplex communication complexity with adversary is strictly less than its classical communication complexity.
Bibliography: 11 titles.

Keywords: communication complexity, fooling sets, half-duplex communication complexity.

MSC: 68Q11, 68R10

Received: 13.07.2024 and 17.12.2024

DOI: 10.4213/sm10159


 English version:
Sbornik: Mathematics, 2025, 216:6, 742–779

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© Steklov Math. Inst. of RAS, 2026