English

Unprovability results for clause set cycles

Logic in Computer Science 2022-08-05 v2

Abstract

The notion of clause set cycle abstracts a family of methods for automated inductive theorem proving based on the detection of cyclic dependencies between clause sets. By discerning the underlying logical features of clause set cycles, we are able to characterize clause set cycles by a logical theory. We make use of this characterization to provide practically relevant unprovability results for clause set cycles that exploit different logical features.

Keywords

Cite

@article{arxiv.2110.03246,
  title  = {Unprovability results for clause set cycles},
  author = {Stefan Hetzl and Jannik Vierling},
  journal= {arXiv preprint arXiv:2110.03246},
  year   = {2022}
}

Comments

Revised version

R2 v1 2026-06-24T06:41:43.059Z