English

A Path Order for Rewrite Systems that Compute Exponential Time Functions (Technical Report)

Computational Complexity 2011-06-10 v3

Abstract

In this paper we present a new path order for rewrite systems, the exponential path order EPOSTAR. Suppose a term rewrite system is compatible with EPOSTAR, then the runtime complexity of this rewrite system is bounded from above by an exponential function. Furthermore, the class of function computed by a rewrite system compatible with EPOSTAR equals the class of functions computable in exponential time on a Turing maschine.

Cite

@article{arxiv.1010.1128,
  title  = {A Path Order for Rewrite Systems that Compute Exponential Time Functions (Technical Report)},
  author = {Martin Avanzini and Naohi Eguchi and Georg Moser},
  journal= {arXiv preprint arXiv:1010.1128},
  year   = {2011}
}

Comments

Technical Report

R2 v1 2026-06-21T16:24:33.468Z