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Jul 29, 2011 at 15:57 comment added Emil Jeřábek In fact, the argument in Carl's answer above shows that the polynomial-time version of Ricky's class includes all of polynomial hierarchy. On the other hand, it is included in $\mathrm{NEXP}\cap\mathrm{coNEXP}$ since $\mathrm{MIP}=\mathrm{NEXP}$.
Jul 29, 2011 at 15:45 comment added Emil Jeřábek As far as I can see, $S_2^P$ would correspond to the case where the game is restricted to one round.
Jul 29, 2011 at 15:13 history answered Ryan O'Donnell CC BY-SA 3.0