We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
d abstract) Nathan Segerlind∗ Sam Buss† Russell Impagliazzo‡ We prove a new switching lemma that works for restrictions that set only a small fraction of the variables and i...
Nathan Segerlind, Samuel R. Buss, Russell Impaglia...
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...