Confluence Criteria for Logically Constrained Rewrite Systems (Full Version)
Logic in Computer Science
2024-11-12 v2
Abstract
Numerous confluence criteria for plain term rewrite systems are known. For logically constrained rewrite system, an attractive extension of term rewriting in which rules are equipped with logical constraints, much less is known. In this paper we extend the strongly-closed and (almost) parallel-closed critical pair criteria of Huet and Toyama to the logically constrained setting. We discuss the challenges for automation and present crest, a new tool for logically constrained rewriting in which the confluence criteria are implemented, together with experimental data.
Cite
@article{arxiv.2309.12112,
title = {Confluence Criteria for Logically Constrained Rewrite Systems (Full Version)},
author = {Jonas Schöpf and Aart Middeldorp},
journal= {arXiv preprint arXiv:2309.12112},
year = {2024}
}
Comments
Accepted at the 29th International Conference on Automated Deduction 2023 (full version of the accepted paper)