English

On the computational complexity of cut-reduction

Logic in Computer Science 2007-12-11 v1 Computational Complexity

Abstract

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.

Keywords

Cite

@article{arxiv.0712.1499,
  title  = {On the computational complexity of cut-reduction},
  author = {Klaus Aehlig and Arnold Beckmann},
  journal= {arXiv preprint arXiv:0712.1499},
  year   = {2007}
}

Comments

41 pages, technical report (CS, Swansea University)

R2 v1 2026-06-21T09:52:26.915Z