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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > HALF-DUPLEX COMMUNICATION COMPLEXITY:
Reports tagged with half-duplex communication complexity:
TR20-116 | 1st August 2020
Ivan Mihajlin, Alexander Smal

Toward better depth lower bounds: the XOR-KRW conjecture

Revisions: 2

In this paper, we propose a new conjecture, the XOR-KRW conjecture, which is a relaxation of the Karchmer-Raz-Wigderson conjecture [KRW95]. This relaxation is still strong enough to imply $\mathbf{P} \not\subseteq \mathbf{NC}^1$ if proven. We also present a weaker version of this conjecture that might be used for breaking $n^3$ lower ... more >>>


TR20-117 | 4th August 2020
Yuriy Dementiev, Artur Ignatiev, Vyacheslav Sidelnik, Alexander Smal, Mikhail Ushakov

New bounds on the half-duplex communication complexity

Revisions: 3

In this work, we continue the research started in [HIMS18], where the authors suggested to study the half-duplex communication complexity. Unlike the classical model of communication complexity introduced by Yao, in the half-duplex model, Alice and Bob can speak or listen simultaneously, as if they were talking using a walkie-talkie. ... more >>>


TR22-016 | 15th February 2022
Artur Ignatiev, Ivan Mihajlin, Alexander Smal

Super-cubic lower bound for generalized Karchmer-Wigderson games

In this paper, we prove a super-cubic lower bound on the size of a communication protocol for generalized Karchmer-Wigderson game for some explicit function $f: \{0,1\}^n\to \{0,1\}^{\log n}$. Lower bounds for original Karchmer-Wigderson games correspond to De Morgan formula lower bounds, thus the best known size lower bound is cubic. ... more >>>




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