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Feb 1, 2016 at 1:37 comment added usul It may be worth explicitly completing this line of thought: We generally expect NP $\subsetneq$ EXPTIME, meaning that EXPTIME-complete decision problems such as generalized chess do not have short proofs (concretely, e.g., for generic positions that are a win for white, we do not expect a proof of this that is smaller than exponential in the size of the game).
Jan 31, 2016 at 21:28 history answered Timothy Chow CC BY-SA 3.0