TY - CHAP
T1 - Communication versus computation
AU - Harsha, Prahladh
AU - Ishai, Yuval
AU - Kilian, Joe
AU - Nissim, Kobbi
AU - Venkatesh, S.
PY - 2004
Y1 - 2004
N2 - We initiate a study of tradeoffs between communication and computation in well-known communication models and in other related models. The fundamental question we investigate is the following: Is there a computational task that exhibits a strong tradeoff behavior between the amount of communication and the amount of time needed for local computation? Under various standard assumptions, we exhibit boolean functions that show strong tradeoffs in the following computation models: (1) two-party randomized communication complexity; (2) query complexity; (3) property testing. For the model of deterministic communication complexity, we show a similar result relative to a random oracle. Finally, we study a time-degree tradeoff problem that arises in arithmetization of boolean functions, and relate it to time-communication tradeoff questions in multi-party communication complexity and in cryptography.
AB - We initiate a study of tradeoffs between communication and computation in well-known communication models and in other related models. The fundamental question we investigate is the following: Is there a computational task that exhibits a strong tradeoff behavior between the amount of communication and the amount of time needed for local computation? Under various standard assumptions, we exhibit boolean functions that show strong tradeoffs in the following computation models: (1) two-party randomized communication complexity; (2) query complexity; (3) property testing. For the model of deterministic communication complexity, we show a similar result relative to a random oracle. Finally, we study a time-degree tradeoff problem that arises in arithmetization of boolean functions, and relate it to time-communication tradeoff questions in multi-party communication complexity and in cryptography.
UR - http://www.scopus.com/inward/record.url?scp=35048880727&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-27836-8_63
DO - 10.1007/978-3-540-27836-8_63
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AN - SCOPUS:35048880727
SN - 3540228497
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 745
EP - 756
BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
A2 - Díaz, Josep
A2 - Karhumäki, Juhani
A2 - Lepistö, Arto
A2 - Sannella, Donald
ER -