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Randomness is a key component of probabilistic algorithms, many combinatorial aarguments, the analysis of hashing functions, and in cryptography, among other applications.
8
votes
What is the fastest known simulation of BPP using Las Vegas algorithms?
It depends on what assumptions you are willing to make.
Under certain hardness assumptions, namely $E \not\subseteq SIZE(2^{\varepsilon n})$, you get that $P = BPP$. This in particular implies that $ …
12
votes
Uniform way of quantifying "branching" in nondeterministic, probabilistic, and quantum compu...
Nondeterministic computations can also be viewed as verification of claims using short proofs. That is, the class NTIME(t) can also be viewed as the class of languages $L$ such that a claim of the for …