License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2023.9
URN: urn:nbn:de:0030-drops-179936
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/17993/
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Ivanov, Ievgen

Generalized Newman’s Lemma for Discrete and Continuous Systems

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LIPIcs-FSCD-2023-9.pdf (0.9 MB)

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.

BibTeX - Entry

@InProceedings{ivanov:LIPIcs.FSCD.2023.9,
  author =	{Ivanov, Ievgen},
  title =	{{Generalized Newman’s Lemma for Discrete and Continuous Systems}},
  booktitle =	{8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)},
  pages =	{9:1--9:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-277-8},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{260},
  editor =	{Gaboardi, Marco and van Raamsdonk, Femke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/17993},
  URN =		{urn:nbn:de:0030-drops-179936},
  doi =		{10.4230/LIPIcs.FSCD.2023.9},
  annote =	{Keywords: abstract rewriting system, confluence, discrete-continuous systems, proof assistant, formal proof}
}

Keywords: abstract rewriting system, confluence, discrete-continuous systems, proof assistant, formal proof
Collection: 8th International Conference on Formal Structures for Computation and Deduction (FSCD 2023)
Issue Date: 2023
Date of publication: 28.06.2023
Supplementary Material: Text: https://doi.org/10.5281/zenodo.7855691

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