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Preprint Sep 2026

A Degree--Size Relation for Resolution over Polynomials

For every constant-width CNF, we show that linear degree in polynomial calculus (PC) implies exponential size in resolution over constant-degree polynomials, over the same prime field. Applications include exponential lower bounds for CNFs in $\operatorname{Res}(\operatorname{PC}_r/\mathbb{F}_p)$ and hence in $\operato...

Shuo Pang · 0 citations

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