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Questions regarding oracle machines in computational complexity theory. Oracles can serve as an indicator that a separation between complexity classes is beyond the scope of certain proof techniques.

14 votes

Relativization with Respect to Non-Recursive Oracles

I can't resist putting in a plug for some recent results, indicating that it can be interesting to consider computation relative to the (non-computable) set of Kolmogorov-random strings. Let $R$ be t …
Eric Allender's user avatar
3 votes

Ruzzo-Simon-Tompa oracle access mechanism

In this paper https://people.cs.rutgers.edu/~allender/papers/pl3.pdf Mitsu Ogihara and I show that the "oracle" #L hierarchy (and related classes) with the Ruzzo-Simon-Tompa access mechanism correspon …
Eric Allender's user avatar