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Proof complexity is the field aiming to understand and analyse the computational resources that are required to prove or refute statements.

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Computational complexity theoretic incompleteness: is that a thing?

Consider the sentence $P(n)$ which says "This sentence has no proof shorter than $n$ characters." This sentence is true, and even has a proof - enumerate all strings of length $n$ and check them one …
Sam Nead's user avatar
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