# Questions tagged [random-oracles]

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### Almost-P and related definitions

I'm pretty sure this has a trivial answer but it's always faster to ask the community :-) I understand that, relative to a random oracle, P=BPP. But this is sometimes phrased via the shorthand "...
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### What are examples of complexity classes that have contradictory relativizations but they were proven to be either equal or unequal?

In this article Chang et al. provide a counterexample by giving an oracle $A$ such that $\mathsf{IP}^A \neq \mathsf{PSPACE}^A$. I wanted to know if there are more examples like this.
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### Can a random oracle change which TFNP problems are strongly hard-on-average?

I've been thinking about the following question at various times since I saw this question on Cryptography. Question Let $R$ be a TFNP relation. ​ Can a random oracle help P/poly to break $R$ ... 1 vote
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### The meaning of separations in cryptography

From the paper of Impagliazzo and Rudich "Limits on the Provable Consequences of One-Way Permutations": We provide strong evidence that it will be difficult to prove that secure secret agreement is ...
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### "Largest" class properly contained in PSPACE for a random oracle

Green  showed that $PP^{PH}$ is properly contained in $PSPACE$ relative to some oracle. Around the same time, in the famous "voting polynomials" paper , it was shown that $PP$ is properly ...
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### For a random oracle R, does BPP equal the set of computable languages in P^R?

Well, the title pretty much says it all. The interesting question above was asked by commenter Jay on my blog (see here and here). I'm guessing both that the answer is yes and that there's a ...
There are several well known results regarding random oracles, e.g. $\mathsf{IP}^A \neq \mathsf{PSpace}^A$ for almost all oracles. Are there any known natural examples where a similar statement ...