English

An SMT Theory for n-Indexed Sequences

Logic in Computer Science 2024-11-13 v1

Abstract

The SMT (Satisfiability Modulo Theories) theory of arrays is well-established and widely used, with variousdecision procedures and extensions developed for it. However, recent works suggest that developing tailoredreasoning for some theories, such as sequences and strings, is more efficient than reasoning over them throughaxiomatization over the theory of arrays. In this paper, we are interested in reasoning over n-indexed sequences asthey are found in some programming languages, such as Ada. We propose an SMT theory of n-indexed sequencesand explore different ways to represent and reason over n-indexed sequences using existing theories, as well astailored calculi for the theory.

Keywords

Cite

@article{arxiv.2411.07665,
  title  = {An SMT Theory for n-Indexed Sequences},
  author = {Hichem Rami Ait El Hara and François Bobot and Guillaume Bury},
  journal= {arXiv preprint arXiv:2411.07665},
  year   = {2024}
}

Comments

22nd International Workshop on Satisfiability Modulo Theories, Jul 2024, Montreal, Canada, France

R2 v1 2026-06-28T19:56:48.264Z