English

Complexity of some modal logics of density (extended version)

Logic in Computer Science 2025-07-16 v1

Abstract

By using a selective filtration argument, we prove that the satisfiability problem of the unimodal logic of density is in EXPTIMEEXPTIME. By using a tableau-like approach, we prove that the satisfiability problem of the bimodal logic of weak density is in PSPACEPSPACE.

Keywords

Cite

@article{arxiv.2507.11238,
  title  = {Complexity of some modal logics of density (extended version)},
  author = {Philippe Balbiani and Olivier Gasquet},
  journal= {arXiv preprint arXiv:2507.11238},
  year   = {2025}
}
R2 v1 2026-07-01T04:02:11.263Z