On distribution-specific learning with membership queries versus pseudorandom generation

Johannes K\"obler Wolfgang Lindner

To appear at Foundations of Software Technology and Theoretical Computer Science (FSTTCS2000), New Delhi, India, December 13-15 2000


We consider a weak version of pseudorandom function generators and show that their existence is equivalent to the non-learnability of Boolean circuits in Valiant's pac-learning model with membership queries on the uniform distribution. Furthermore, we show that this equivalence holds also for non-adaptive membership queries and for any (non-trivial) p-samplable distribution.

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