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Generalized Newman’s Lemma for Discrete and Continuous Systems

Author Ievgen Ivanov

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Ievgen Ivanov
  • Taras Shevchenko National University of Kyiv, Ukraine

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Ievgen Ivanov. Generalized Newman’s Lemma for Discrete and Continuous Systems. In 8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 260, pp. 9:1-9:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/LIPIcs.FSCD.2023.9

Abstract

We propose a generalization of Newman’s lemma which gives a criterion of confluence for a wide class of not-necessarily-terminating abstract rewriting systems. We show that ordinary Newman’s lemma for terminating systems can be considered as a corollary of this criterion. We describe a formalization of the proposed generalized Newman’s lemma in Isabelle proof assistant using HOL logic.

Subject Classification

ACM Subject Classification
  • Theory of computation → Equational logic and rewriting
  • Theory of computation → Logic and verification
  • Theory of computation → Timed and hybrid models
Keywords
  • abstract rewriting system
  • confluence
  • discrete-continuous systems
  • proof assistant
  • formal proof

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Supplementary Materials

References

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