On Infinitary Rational Relations and Borel Sets
Logic in Computer Science
2010-07-26 v1 Computational Complexity
Logic
Abstract
We prove in this paper that there exists some infinitary rational relations which are Sigma^0_3-complete Borel sets and some others which are Pi^0_3-complete. This implies that there exists some infinitary rational relations which are Delta^0_4-sets but not (Sigma^0_3U Pi^0_3)-sets. These results give additional answers to questions of Simonnet and of Lescow and Thomas.
Cite
@article{arxiv.1005.5608,
title = {On Infinitary Rational Relations and Borel Sets},
author = {Olivier Finkel},
journal= {arXiv preprint arXiv:1005.5608},
year = {2010}
}