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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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When do you get to the point of writing proofs that need to be so complicated that verifying...

Keyword here is need, many people thought I meant this intentionally rather than as an inevitability. I recently reread the article on Fukaya's work at Quanta and looked into the situation a bit more …
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