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Derandomizing Arthur-Merlin Games using Hitting Sets (1999)  (Make Corrections)  (16 citations)
Peter Bro Miltersen, N.V. Vinodchandran
IEEE Symposium on Foundations of Computer Science



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Abstract: We prove that AM (and hence Graph Nonisomorphism) is in NP if for some  > 0, some language in NE \ coNE requires nondeterministic circuits of size 2 n . This improves recent results of Arvind and K obler and of Klivans and Van Melkebeek who proved the same conclusion, but under stronger hardness assumptions, namely, either the existence of a language in NE \ coNE which cannot be approximated by nondeterministic circuits of size less than 2 n or the existence of a language in NE \ coNE... (Update)

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BibTeX entry:   (Update)

Peter Bro Miltersen and N.V. Vinodchandran. Derandomizing Arthur--Merlin games using hitting sets. In 40th Annual Symposium on Foundations of Computer Science, New York, NY, 17--19 October 1999. IEEE. 11 http://citeseer.ist.psu.edu/miltersen99derandomizing.html   More

@inproceedings{ miltersen99derandomizing,
    author = "Peter Bro Miltersen and N. V. Vinodchandran",
    title = "Derandomizing Arthur-Merlin Games Using Hitting Sets",
    booktitle = "{IEEE} Symposium on Foundations of Computer Science",
    pages = "71-80",
    year = "1999",
    url = "citeseer.ist.psu.edu/miltersen99derandomizing.html" }
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149   A hardcore predicate for all one-way functions (context) - Goldreich, Levin - 1989
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83   BPP has subexponential time simulations unless EXPTIME has p.. - Babai, Fortnow et al. - 1993
69   requires exponential circuits: Derandomizing the XOR lemma (context) - Impagliazzo, Wigderson et al. - 1997
68   Hardness vs randomness (context) - Nisan, Wigderson - 1994
64   Pseudorandom generators without the XOR lemma - Sudan, Trevisan et al. - 1999
44   Relativized circuit complexity (context) - Wilson - 1985
42   Hard-core distributions for somewhat hard problems - Impagliazzo - 1995
39   On completeness and soundness in interactive proof systems - Furer, Goldreich et al. - 1989
28   or time versus space (context) - Sipser, randomness - 1988
26   Canonical labeling of graphs (context) - Babai, Luks - 1983
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13   Hitting sets derandomize BPP (context) - Andreev, Clementi et al. - 1996
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