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

    Few known candidates exist for separating NP from BPP

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    BPP has been shown to be contained in the second level of the polynomial hierarc...It is unknown whether NP is contained in BPPWhether randomness provides practical computational advantage over determinism r...

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    Few known candidates exist for separating P 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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    3 Parallel, probabilistic, and quantum complexity Even taking into account our current inability to resolve Open Questions 1–3, the hierarchy of complexity classes depicted in Figure 2 ranging from \(\textbf{P}\) to \(\textbf{EXP}\) represent the most robust benchmarks of computational difficulty now available. Beyond this hierarchy a wide array of additional classes are also studied which are believed to demarcate additional structure either inside \(\textbf{P}\) or between \(\textbf{P}\) and \

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