English

On the Topological Complexity of Infinitary Rational Relations

Logic in Computer Science 2008-12-18 v1 Computational Complexity Logic

Abstract

We prove in this paper that there exists some infinitary rational relations which are analytic but non Borel sets, giving an answer to a question of Simonnet [Automates et Th\'eorie Descriptive, Ph. D. Thesis, Universit\'e Paris 7, March 1992].

Keywords

Cite

@article{arxiv.0803.1841,
  title  = {On the Topological Complexity of Infinitary Rational Relations},
  author = {Olivier Finkel},
  journal= {arXiv preprint arXiv:0803.1841},
  year   = {2008}
}