2013 IEEE 54th Annual Symposium on Foundations of Computer Science (1991)

San Juan, Puerto Rico

Oct. 1, 1991 to Oct. 4, 1991

ISBN: 0-8186-2445-0

pp: 79-89

D. Zuckerman , Lab. Comput. Sci., MIT, Cambridge, MA, USA

ABSTRACT

It is shown how to simulate BPP and approximation algorithms in polynomial time using the output from a delta -source. A delta -source is a weak random source that is asked only once for R bits, and must output an R-bit string according to some distribution that places probability no more than 2/sup - delta R/ on any particular string. Also given are two applications: one to show the difficulty of approximating the size of the maximum clique, and the other to the problem of implicit O(1) probe search.

INDEX TERMS

probe search, BPP simulation, general weak random source, approximation algorithms, polynomial time, weak random source, R-bit string, maximum clique

CITATION

D. Zuckerman,
"Simulating BPP using a general weak random source",

*2013 IEEE 54th Annual Symposium on Foundations of Computer Science*, vol. 00, no. , pp. 79-89, 1991, doi:10.1109/SFCS.1991.185351