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    Few known candidates exist for separating P from BPP — Carmelics
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    Supports→Whether randomness provides practical computational advantage over determinism remains an open problem

    Few known candidates exist for separating P from BPP

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    It is unknown whether NP is contained in BPPPRIMES, a former candidate for BPP\P, turned out to be in PWhether randomness provides practical computational advantage over determinism r...

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    Few known candidates exist for separating NP from BPP100%There are few known candidates for separating BPP from P97%Diagonalization cannot be used to separate P from NP81%No currently known method is sufficient to yield the desired separatio...81%

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    SEP: computational-complexity
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    As the standard Turing machine model \(\mathfrak{T}\) corresponds to a special case of \(\mathfrak{C}\), it follows that \(\textbf{P} \subseteq \textbf{BPP}\). For a long time, it was also thought that \(\sc{PRIMES}\) might be an example of a problem which was in \(\textbf{BPP}\) but not \(\textbf{P}\).[35] However, we now know that this problem is in \(\textbf{P}\) in virtue of the AKS primality algorithm. At present, not only are there few known candidates for separating these classes, but it

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