English

The Treewidth Boundedness Problem for an Inductive Separation Logic of Relations

Logic in Computer Science 2024-05-20 v2 Formal Languages and Automata Theory

Abstract

The treewidth boundedness problem for a logic asks for the existence of an upper bound on the treewidth of the models of a given formula in that logic. This problem is found to be undecidable for first order logic. We consider a generalization of Separation Logic over relational signatures, interpreted over standard relational structures, and describe an algorithm for the treewidth boundedness problem in the context of this logic.

Keywords

Cite

@article{arxiv.2310.09542,
  title  = {The Treewidth Boundedness Problem for an Inductive Separation Logic of Relations},
  author = {Marius Bozga and Lucas Bueri and Radu Iosif and Florian Zuleger},
  journal= {arXiv preprint arXiv:2310.09542},
  year   = {2024}
}
R2 v1 2026-06-28T12:50:36.121Z