Languages with Bounded Multiparty Communication Complexity
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SYSNO ASEP 0084614 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Languages with Bounded Multiparty Communication Complexity Překlad názvu Jazyky s omezenou komunikační složitostí pro více hráčů Tvůrce(i) Chattopadhyay, A. (CA)
Koucký, Michal (MU-W) RID, SAI, ORCID
Krebs, A. (DE)
Szegedy, M. (US)
Tesson, P. (CA)
Thérien, D. (CA)Zdroj.dok. Proceeding of the 24th Annual Symposium on Theoretical Aspects of Computer Science (STACS), 2007. - Berlin : Springer-Verlag, 2007 / Thomas W. ; Weil P. - ISBN 978-3-540-70917-6 Rozsah stran s. 500-511 Poč.str. 11 s. Akce Annual Symposium on Theoretical Aspects of Computer Science (STACS) Datum konání 22.02.2007-24.02.2007 Místo konání Aachen Země DE - Německo Typ akce WRD Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova communication complexity ; codes ; Ramsey theory Vědní obor RIV BA - Obecná matematika CEP GA201/05/0124 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) Anotace We study languages with bounded communication complexity in the multiparty "input on the forehead" model with worst-case partition. In the two party case,it is known that such languages are exactly those that are recognized by programs over commutative monoids.This can be used to show that these languages can be computed by shallow ACC^0 circuits. In contrast, we use coding techniques to show that there are languages of arbitrarily large circuit complexity than can be computed by k players using constant communication, if>=3. However, if the language has a neutral letter and constant communication complexity for k players for some fixed k, then the language is in fact regular. We give an algebraic characterization of regular languages with this property. We also prove than a symmetric language has bounded k-party communication complexity for some fixed k iff it has bounded 2-party communication complexity. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2008