English

NP Satisfiability for Arrays as Powers

Logic in Computer Science 2021-09-14 v1

Abstract

We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is in NP. As an application, we extend the combinatory array logic fragment to handle cardinality constraints. The resulting fragment is independent of the base element and index set theories.

Cite

@article{arxiv.2109.05363,
  title  = {NP Satisfiability for Arrays as Powers},
  author = {Rodrigo Raya and Viktor Kunčak},
  journal= {arXiv preprint arXiv:2109.05363},
  year   = {2021}
}
R2 v1 2026-06-24T05:53:09.251Z