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... probability of accepting for x ∈ L is amplified to 1 − (1 − α(n))k . It follows that the definition of RP does not change, if we replace the constant 2/3 by c any function α(n) such that n−c ≤ α(n) ≤ 1 − 2−n for some constant c. A similar construction works for BPP as well; in this case, the machine ...
... probability of accepting for x ∈ L is amplified to 1 − (1 − α(n))k . It follows that the definition of RP does not change, if we replace the constant 2/3 by c any function α(n) such that n−c ≤ α(n) ≤ 1 − 2−n for some constant c. A similar construction works for BPP as well; in this case, the machine ...