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Improving Automatic Confluence Analysis of Rewrite Systems by Redundant Rules

Authors Julian Nagele, Bertram Felgenhauer, Aart Middeldorp

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Julian Nagele
Bertram Felgenhauer
Aart Middeldorp

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Julian Nagele, Bertram Felgenhauer, and Aart Middeldorp. Improving Automatic Confluence Analysis of Rewrite Systems by Redundant Rules. In 26th International Conference on Rewriting Techniques and Applications (RTA 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 36, pp. 257-268, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)
https://doi.org/10.4230/LIPIcs.RTA.2015.257

Abstract

We describe how to utilize redundant rewrite rules, i.e., rules that can be simulated by other rules, when (dis)proving confluence of term rewrite systems. We demonstrate how automatic confluence provers benefit from the addition as well as the removal of redundant rules. Due to their simplicity, our transformations were easy to formalize in a proof assistant and are thus amenable to certification. Experimental results show the surprising gain in power.
Keywords
  • term rewriting
  • confluence
  • automation
  • transformation

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