Super-bits, Demi-bits, and NP/qpoly-natural Proofs

Super-bits, Demi-bits, and NP/qpoly-natural Proofs
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超级比特、半比特和 NP/qpoly 自然证明

DOI:
10.1007/3-540-63248-4_8
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发表时间:
1997
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通讯作者:
S. Rudich
S. Rudich
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文献类型:
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作者:
S. Rudich

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我们介绍了超位猜想,它允许发展的理论概括的伪随机性的概念,以便foolnon-deterministicstatistical测试。这种新的伪随机性排除了NP/poly的存在--这是一种可以对P/poly起作用的自然属性。这是P/poly-natural proofs [10]的原始理论的一个重要扩展。我们还介绍了密切相关的位猜想,这是更直观的,是有趣的开放问题的来源。
We introduce the super-bit conjecture, which allows the development of a theory generalizing the notion of pseudorandomness so as to foolnon-deterministicstatistical tests. This new kind of pseudo-randomness rules out the existence ofN P/poly-natural properties that can work againstP/poly. This is an important extension of the original theory ofP/poly-natural proofs [10]. We also introduce the closely related demi-bit conjecture which is more intuitive and is the source of interesting open problems.