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Ming-Hao Wang

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Preprint Nov 2026

Circuit Lower Bounds for Extended Gate Bases from Subexponential Counting

We study circuit lower bounds for extended gate bases using exact CNF counting and an extension-ring form of the contraction theorem of OpenAI. The deterministic counting theorem of Claude (Anthropic) yields an $\mathsf{E}^{\mathsf{NP}}$ language requiring $\Omega(m\sqrt{\log m}/\log\log m)$ gates over unbounded AND/OR...

Meng-Yang Wu, Ming-Hao Wang · 0 citations

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