# proving that pp closed under cook reductions [closed]

I tried to prove or disprove that pp is closed under cook reductions. anyone has a idea or link to a answer?

## closed as unclear what you're asking by David Richerby, Evil, Juho, Tom van der Zanden, Gilles♦Jul 11 '16 at 12:14

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PH $\subseteq$ PPP ​ is known to hold, so if PP is closed under Cook reductions
then ​ PH $\subseteq$ PPP $\subseteq$ PPPP $\subseteq$ PP . ​ ​ ​ ​ ( PH $\subseteq$ PP ​ is not known to hold.)