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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > POLYNOMIAL CALCULUS RESOLUTION:
Reports tagged with polynomial calculus resolution:
TR15-078 | 4th May 2015
Mladen Mikša, Jakob Nordström

A Generalized Method for Proving Polynomial Calculus Degree Lower Bounds

We study the problem of obtaining lower bounds for polynomial calculus (PC) and polynomial calculus resolution (PCR) on proof degree, and hence by [Impagliazzo et al. '99] also on proof size. [Alekhnovich and Razborov '03] established that if the clause-variable incidence graph of a CNF formula F is a good ... more >>>


TR21-021 | 18th February 2021
Per Austrin, Kilian Risse

Average-Case Perfect Matching Lower Bounds from Hardness of Tseitin Formulas

Revisions: 2

We study the complexity of proving that a sparse random regular graph on an odd number of vertices does not have a perfect matching, and related problems involving each vertex being matched some pre-specified number of times. We show that this requires proofs of degree $\Omega(n/\log n)$ in the Polynomial ... more >>>




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