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Pseudorandom bits and lower bounds for randomized Turing machines

机译:随机图灵机的伪随机位和下界

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We exhibit a pseudorandom generator with nearly quadratic stretch for randomized Turing machines, which have a one-way random tape and a two-way work tape. This is the first generator for this model. Its stretch is essentially the best possible given current lower bounds. We use the generator to prove a polynomial lower bound for the stronger Turing machine model where we also have a two-way read-only input tape. This is the first lower bound for this model.
机译:对于随机图灵机,我们展示了一种具有几乎二次拉伸的伪随机发生器,该机具有单向随机磁带和两向工作磁带。这是该模型的第一台发电机。给定当前的下限,其拉伸范围基本上是最好的。我们使用生成器证明了更强大的图灵机模型的多项式下界,在该模型中,我们还具有双向只读输入磁带。这是此模型的第一个下限。

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