An SMT Theory for n-Indexed Sequences

Fuente: arXiv
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Hauptverfasser: Hara, Hichem Rami Ait El, Bobot, François, Bury, Guillaume
Format: Preprint
Veröffentlicht: 2024
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author Hara, Hichem Rami Ait El
Bobot, François
Bury, Guillaume
author_facet Hara, Hichem Rami Ait El
Bobot, François
Bury, Guillaume
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07665
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An SMT Theory for n-Indexed Sequences
Hara, Hichem Rami Ait El
Bobot, François
Bury, Guillaume
Logic in Computer Science
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.
title An SMT Theory for n-Indexed Sequences
topic Logic in Computer Science
url https://arxiv.org/abs/2411.07665