(Solved by Humans)-a) Two cyborgs walk into your home, both claiming to be oracles
Question
a) Two cyborgs walk into your home, both claiming to be oracles for the graph 3-colorability decision problem. They both always give a yes/no answer in constant timefor any instance, and are each self-consistent (i.e. each always gives the same answer forthe same instance). However, one is a true oracle and the other is a shameless impostor,and you have a large instance of 3-colorability upon which they disagree. Prove whetherit is possible to expose the impostor within time polynomial in the size of that instance.
b)?True or false: Most Boolean functions on N inputs have an exponentially long (as afunction of N) minimal description (in any fixed reasonable encoding / formalism).
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