Article ID Journal Published Year Pages File Type
4662620 Annals of Pure and Applied Logic 2011 15 Pages PDF
Abstract

We formalize the construction of Paterson’s variant of the Ajtai–Komlós–Szemerédi sorting network of logarithmic depth in the bounded arithmetical theory (an extension of ), under the assumption of the existence of suitable expander graphs. We derive a conditional p-simulation of the propositional sequent calculus in the monotone sequent calculus .

Related Topics
Physical Sciences and Engineering Mathematics Logic