Theoretical computer science · Oct 6, 2026

Beyond the square-root exponent for depth-three circuits

Constructs a single language in deterministic polynomial time whose n-bit membership function requires 2ω(n)2^{\omega(\sqrt n)} total gates in unbounded-fan-in OR–AND–OR circuits, at every sufficiently large input length. This crosses the square-root-exponent threshold for explicit depth-three Boolean circuit lower bounds.

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