Certified Rule Labeling

Authors Julian Nagele, Harald Zankl



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Julian Nagele
Harald Zankl

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Julian Nagele and Harald Zankl. Certified Rule Labeling. In 26th International Conference on Rewriting Techniques and Applications (RTA 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 36, pp. 269-284, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015) https://doi.org/10.4230/LIPIcs.RTA.2015.269

Abstract

The rule labeling heuristic aims to establish confluence of (left-)linear term rewrite systems via decreasing diagrams. We present a formalization of a confluence criterion based on the interplay of relative termination and the rule labeling in the theorem prover Isabelle. Moreover, we report on the integration of this result into the certifier CeTA, facilitating the checking of confluence certificates based on decreasing diagrams for the first time. The power of the method is illustrated by an experimental evaluation on a (standard) collection of confluence problems.

Subject Classification

Keywords
  • term rewriting
  • confluence
  • decreasing diagrams
  • certification

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