An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Abstract. Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Kraj´ıˇcek [7] have recently introduced the notion of propositional proof systems with...