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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > SYMMETRIC ALTERNATION:
Reports tagged with Symmetric alternation:
TR09-055 | 10th June 2009
Venkatesan Chakaravarthy, Sambuddha Roy

Arthur and Merlin as Oracles

We study some problems solvable in deterministic polynomial time given oracle access to the (promise version of) the Arthur-Merlin class.
Our main results are the following: (i) $BPP^{NP}_{||} \subseteq P^{prAM}_{||}$; (ii) $S_2^p \subseteq P^{prAM}$. In addition to providing new upperbounds for the classes $S_2^p$ and $BPP^{NP}_{||}$, these results are interesting ... more >>>




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