English

Dependency Pairs and Polynomial Path Orders

Logic in Computer Science 2011-06-09 v3 Artificial Intelligence Computational Complexity Symbolic Computation

Abstract

We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify polynomial runtime complexity of term rewrite systems and the polytime computability of the functions computed. The established techniques have been implemented and we provide ample experimental data to assess the new method.

Keywords

Cite

@article{arxiv.0904.0981,
  title  = {Dependency Pairs and Polynomial Path Orders},
  author = {Martin Avanzini and Georg Moser},
  journal= {arXiv preprint arXiv:0904.0981},
  year   = {2011}
}

Comments

23 pages, conference version accepted at RTA 2009

R2 v1 2026-06-21T12:48:45.138Z