English

Uniform Guarded Fragments

Logic in Computer Science 2021-10-15 v2 Logic

Abstract

In this paper we prove that the uniform one-dimensional guarded fragment, which is a natural polyadic generalization of the guarded two-variable logic, has the Craig interpolation property. We will also prove that the satisfiability problem of uniform guarded fragment is NEXPTIME-complete.

Cite

@article{arxiv.2110.03821,
  title  = {Uniform Guarded Fragments},
  author = {Reijo Jaakkola},
  journal= {arXiv preprint arXiv:2110.03821},
  year   = {2021}
}

Comments

Fixed a bug in the proof of lemma 8, simplified the proof of lemma 9 and minor changes to presentation

R2 v1 2026-06-24T06:43:25.404Z