Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations. 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.
Index Terms:
cut-reduction, proof notations, propositional logic, Bounded Arithmetic
Citation:
Klaus Aehlig, Arnold Beckmann, "On the Computational Complexity of Cut-Reduction," lics, pp.284-293, 2008 23rd Annual IEEE Symposium on Logic in Computer Science, 2008