English

Order-Invariance of Two-Variable Logic is coNExpTime-complete

Logic in Computer Science 2022-08-17 v1

Abstract

We establish coNExpTime-completeness of the problem of deciding order-invariance of a given two variable first-order formula, improving and significantly simplifying coTwoNExpTime bound by Zeume and Harwath.

Keywords

Cite

@article{arxiv.2208.07577,
  title  = {Order-Invariance of Two-Variable Logic is coNExpTime-complete},
  author = {Bartosz Bednarczyk},
  journal= {arXiv preprint arXiv:2208.07577},
  year   = {2022}
}
R2 v1 2026-06-25T01:43:57.335Z