Forcing with random variables and proof complexity

J Krajíček - Conference on Computability in Europe, 2006 - Springer
A fundamental problem about the strength of non-deterministic computations is the problem
whether the complexity class \calN\calP is closed under complementation. The set TAUT …

The computational power of bounded arithmetic from the predicative viewpoint

SR Buss - … Paradigms: Changing Conceptions of What is …, 2006 - Springer
This paper considers theories of bounded arithmetic that are predicative in the sense of
Nelson, that is, theories that are interpretable in Robinson's Q. We give a nearly exact …

Comments on Beckmann's Uniform Reducts

S Cook - arXiv preprint cs/0601086, 2006 - arxiv.org
Arnold Beckmann defined the uniform reduct of a propositional proof system f to be the set of
those bounded arithmetical formulas whose propositional translations have polynomial size …