Klaus T Aehlig and Arnold Beckmann
Logic in Computer Science, 2008. LICS '08. 23rd Annual IEEE Symposium on 24-27 June 2008. Pages: 284 - 293
Publication year: 2008

Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations, and explicit bounds can be given. Developing a suitable notation system for Bounded Arithmetic, and applying these bounds, all the known results on definable functions of certain such theories can be reobtained in a uniform way.