Theory of Computing Systems

, Volume 47, Issue 2, pp 491–506

On the Automatizability of Polynomial Calculus

Article

Abstract

We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error randomized algorithms. This extends to Polynomial Calculus the analogous result obtained for Resolution by Alekhnovich and Razborov (SIAM J. Comput. 38(4):1347–1363, 2008).

Keywords

Automatizability Polynomial calculus Proof complexity Degree lower bound 

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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Computer ScienceSapienza—Università di RomaRomaItaly

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