Discuss a probabilistic polynomial time turing machine


Discuss the below:

Let B be a probabilistic polynomial time Turing machine and let C be a language where, for some fixed 0 < ε1 < ε2 < 1,

a. w ∈ C implies Pr [B accepts w] ≤ ε1, and

b. w ∉ C implies Pr [B accepts w] ≥ ε2.

Show that C ∈ BPP.

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Theory of Computation: Discuss a probabilistic polynomial time turing machine
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