English

Complexity of the Guarded Two-Variable Fragment with Counting Quantifiers

Logic in Computer Science 2024-04-19 v1 Computational Complexity

Abstract

We show that the finite satisfiability problem for the guarded two-variable fragment with counting quantifiers is in EXPTIME. The method employed also yields a simple proof of a result recently obtained by Y. Kazakov, that the satisfiability problem for the guarded two-variable fragment with counting quantifiers is in EXPTIME.

Cite

@article{arxiv.cs/0601112,
  title  = {Complexity of the Guarded Two-Variable Fragment with Counting Quantifiers},
  author = {Ian Pratt-Hartmann},
  journal= {arXiv preprint arXiv:cs/0601112},
  year   = {2024}
}

Comments

20 pages, 3 figures