Question

Problems known to be at least as hard as the hardest problems in this class are known as ‘this class’-hard, whilst problems within it which can simulate every other problem in it are known as ‘this class’-complete. For 10 points each:
[10e] Name this computational complexity class. One of the Millennium problems asks for a proof for either the statement that this class is equal to P or not.
ANSWER: NP [accept nondeterministic polynomial time]
[10m] The Cook-Levin theorem states that this specific NP problem is NP-complete. This problem asks whether for a given Boolean formula, some assignment of truth values makes the formula true.
ANSWER: boolean satisfiability [or SAT; accept 3SAT]
[10h] It is known that P=NP cannot be settled using only relativizing proofs, which are ones that hold relative to all of these abstract devices.
ANSWER: oracles

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2023 UMN COOT08/19/2023Y316.67100%67%0%

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