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Questions about advice and nonuniformity
1
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On $PP$ and derandomization
$PP\subseteq P/poly\implies PP=\Sigma_2\cap\Pi_2$ and $EXP\subseteq P/Poly\implies EXP=PP$ $=CH=MA$.
If $PP\subseteq P/poly$ then can $PP=\Sigma_2\cap\Pi_2=MA$ hold? Are there difficulties showing t …
1
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0
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172
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Interlaced uniform versus non-uniform hierarchy
Denote $\mathsf{uniform}$ class with prefix $\mathsf{u}$ and $\mathsf{non}$-$\mathsf{uniform}$ class with prefix $\mathsf{nu}$.
In following some non-trivial standard notion of uniformity (like $\mat …
0
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1
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195
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What do stronger circuit lower bounds give in terms of derandomization?
We have $EXP\not\subseteq P/poly\implies BPP\subseteq io-DTIME(2^{n^\epsilon})$ at every $\epsilon>0$.
This is essentially $DTIME(2^{O(n)})\not\subseteq P/poly\implies BPP\subseteq io-DTIME(2^{n^\eps …