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Lower Bounds for Randomized Consensus under a Weak Adversary

โœ Scribed by Attiya, Hagit; Censor-Hillel, Keren


Book ID
118181084
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
277 KB
Volume
39
Category
Article
ISSN
0097-5397

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We show that every resolution proof of the functional version FPHP m n of the pigeonhole principle (in which one pigeon may not split between several holes) must have size exp( (n=(log m) 2 )). This implies an exp( (n 1=3 )) bound when the number of pigeons m is arbitrary.