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Some Results on Derandomization

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2607))

Abstract

We show several results about derandomization including 1. If NP is easy on average then efficient pseudorandom generators exist and P = BPP. 2. If NP is easy on average then given an NP machine M we can easily on average find accepting computations of M(x) when it accepts. 3. For any A in EXP, if NEXPA is in PA/poly then NEXPA = EXPA. 4. If A is ⌆p k -complete and NEXPA is in PA/poly then NEXPA = EXP = MAA.

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© 2003 Springer-Verlag Berlin Heidelberg

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Buhrman, H., Fortnow, L., Pavan, A. (2003). Some Results on Derandomization. In: Alt, H., Habib, M. (eds) STACS 2003. STACS 2003. Lecture Notes in Computer Science, vol 2607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36494-3_20

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  • DOI: https://doi.org/10.1007/3-540-36494-3_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00623-7

  • Online ISBN: 978-3-540-36494-8

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