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Completion and Reduction Orders (Invited Talk)

Author Nao Hirokawa

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Nao Hirokawa
  • Japan Advanced Institute of Science and Technology, Ishikawa, Japan

Funding

  • Hirokawa, Nao: JSPS KAKENHI Grant Numbers 17K00011.

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Nao Hirokawa. Completion and Reduction Orders (Invited Talk). In 6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 195, pp. 2:1-2:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.FSCD.2021.2

Abstract

We present three techniques for improving the Knuth-Bendix completion procedure and its variants: An order extension by semantic labeling, a new confluence criterion for terminating term rewrite systems, and inter-reduction for maximal completion.

Subject Classification

ACM Subject Classification
  • Theory of computation → Equational logic and rewriting
Keywords
  • term rewriting
  • completion
  • reduction order

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