English

On First-order Cons-free Term Rewriting and PTIME

Logic in Computer Science 2017-11-15 v2 Computational Complexity

Abstract

In this paper, we prove that (first-order) cons-free term rewriting with a call-by-value reduction strategy exactly characterises the class of PTIME-computable functions. We use this to give an alternative proof of the result by Carvalho and Simonsen which states that cons-free term rewriting with linearity constraints characterises this class.

Keywords

Cite

@article{arxiv.1711.03399,
  title  = {On First-order Cons-free Term Rewriting and PTIME},
  author = {Cynthia Kop},
  journal= {arXiv preprint arXiv:1711.03399},
  year   = {2017}
}

Comments

workshop proceedings for DICE 2016

R2 v1 2026-06-22T22:41:03.260Z