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

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Dektiarev, Mikhail, Vereshchagin, Nikolay
Natura: Preprint
Pubblicazione: 2024
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866909211227586560
author Dektiarev, Mikhail
Vereshchagin, Nikolay
author_facet Dektiarev, Mikhail
Vereshchagin, Nikolay
contents Half-duplex communication complexity with adversary was defined in [Hoover, K., Impagliazzo, R., Mihajlin, I., Smal, A. V. Half-Duplex Communication Complexity, ISAAC 2018.] Half-duplex communication protocols generalize classical protocols defined by Andrew Yao in [Yao, A. C.-C. Some Complexity Questions Related to Distributive Computing (Preliminary Report), STOC 1979]. It has been unknown so far whether the communication complexities defined by these models are different or not. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16881
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Half-duplex communication complexity with adversary can be less than the classical communication complexity
Dektiarev, Mikhail
Vereshchagin, Nikolay
Computational Complexity
Information Theory
Half-duplex communication complexity with adversary was defined in [Hoover, K., Impagliazzo, R., Mihajlin, I., Smal, A. V. Half-Duplex Communication Complexity, ISAAC 2018.] Half-duplex communication protocols generalize classical protocols defined by Andrew Yao in [Yao, A. C.-C. Some Complexity Questions Related to Distributive Computing (Preliminary Report), STOC 1979]. It has been unknown so far whether the communication complexities defined by these models are different or not. 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.
title Half-duplex communication complexity with adversary can be less than the classical communication complexity
topic Computational Complexity
Information Theory
url https://arxiv.org/abs/2405.16881