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    Turing Machine

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    Let B be a probabilistic polynomial time Turing machine and let C be a language where, for some fixed 0 < &#61646;1 < &#61646;2 < 1,

    a. w &#61647; C implies Pr [B accepts w] &#61603; &#61646;1, and
    b. w &#61646; C implies Pr [B accepts w] &#61619; &#61646;2.

    Show that C &#61646; BPP. HINT:

    Use Lemma 10.5 to help you find the solution.

    See attached file for full problem description.

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    Solution Preview

    The basic idea is to reach at a stage where we can use the lemma 10.5. That is we need to reduce the error probability. A most useful tool in this is is the Chernoff bound. Chernoff bound is used to ...

    Solution Summary

    Turing Machine inquiry is presented.