English

An Example of Pi^0_3-complete Infinitary Rational Relation

Logic 2007-05-23 v1 Computational Complexity Logic in Computer Science

Abstract

We give in this paper an example of infinitary rational relation, accepted by a 2-tape B\"{u}chi automaton, which is Pi^0_3-complete in the Borel hierarchy. Moreover the example of infinitary rational relation given in this paper has a very simple structure and can be easily described by its sections.

Cite

@article{arxiv.math/0702334,
  title  = {An Example of Pi^0_3-complete Infinitary Rational Relation},
  author = {Olivier Finkel},
  journal= {arXiv preprint arXiv:math/0702334},
  year   = {2007}
}
R2 v1 2026-07-22T17:50:55.148Z