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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.

© BrainMass Inc. brainmass.com March 21, 2019, 2:21 pm ad1c9bdddf
https://brainmass.com/computer-science/theoretical-computer-science/turing-machine-probabilities-120807

#### 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.

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