OpenAI reports a depth-three circuit lower bound beyond every square-root constant

One fixed polynomial-time Boolean language has exact depth-three OR–AND–OR circuit size greater than 2^(A√n) for every fixed A>0 at all sufficiently large input lengths n.

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Understanding the problem

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One fixed polynomial-time Boolean language has exact depth-three OR–AND–OR circuit size greater than 2^(A√n) for every fixed A>0 at all sufficiently large input lengths n.

Why it matters

If correct, breaks the square-root-constant barrier for unrestricted-fan-in depth-three Boolean circuits.

What counts as progress

Can one fixed polynomial-time language beat every square-root-constant depth-three circuit lower bound?

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