English

A New Term Rewriting Characterisation of ETIME functions

Logic in Computer Science 2013-12-31 v2 Computational Complexity

Abstract

Adopting former term rewriting characterisations of polytime and exponential-time computable functions, we introduce a new reduction order, the Path Order for ETIME (POE* for short), that is sound and complete for ETIME computable functions. The proposed reduction order for ETIME makes contrasts to those related complexity classes clear.

Cite

@article{arxiv.1312.7284,
  title  = {A New Term Rewriting Characterisation of ETIME functions},
  author = {Martin Avanzini and Naohi Eguchi},
  journal= {arXiv preprint arXiv:1312.7284},
  year   = {2013}
}

Comments

Technical report

R2 v1 2026-06-22T02:35:46.432Z