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Garside and Quadratic Normalisation: A Survey

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Developments in Language Theory (DLT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9168))

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Abstract

Starting from the seminal example of the greedy normal norm in braid monoids, we analyze the mechanism of the normal form in a Garside monoid and explain how it extends to the more general framework of Garside families. Extending the viewpoint even more, we then consider general quadratic normalisation procedures and characterise Garside normalisation among them.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen, 14032, Caen cedex, France

    Patrick Dehornoy

  2. Institut Universitaire de France, Paris, France

    Patrick Dehornoy

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  1. Patrick Dehornoy
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Correspondence to Patrick Dehornoy .

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Editors and Affiliations

  1. University of Liverpool, Liverpool, United Kingdom

    Igor Potapov

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Dehornoy, P. (2015). Garside and Quadratic Normalisation: A Survey. In: Potapov, I. (eds) Developments in Language Theory. DLT 2015. Lecture Notes in Computer Science(), vol 9168. Springer, Cham. https://doi.org/10.1007/978-3-319-21500-6_2

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  • DOI: https://doi.org/10.1007/978-3-319-21500-6_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-21499-3

  • Online ISBN: 978-3-319-21500-6

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