English

Combinatory Array Logic with Sums

Logic in Computer Science 2024-05-02 v2

Abstract

We prove an NP upper bound on a theory of integer-indexed integer-valued arrays that extends combinatory array logic with an ordering relation on the index set and the ability to express sums of elements. We compare our fragment with seven other fragments in the literature in terms of their expressiveness and computational complexity.

Keywords

Cite

@article{arxiv.2311.06582,
  title  = {Combinatory Array Logic with Sums},
  author = {Rodrigo Raya},
  journal= {arXiv preprint arXiv:2311.06582},
  year   = {2024}
}

Comments

Some inaccuracies in the original report have been corrected. Accepted for presentation in PLS '14

R2 v1 2026-06-28T13:18:06.292Z