Abstract Strategies and Coherence

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Abstract

Normalisation strategies give a categorical interpretation of the notion of contracting homotopy via confluent and terminating rewriting. This approach relates standardisation to coherence results in the context of higher-dimensional rewriting systems. On the other hand, globular 2-Kleene algebras provide a formal setting for reasoning about coherence proofs in abstract rewriting systems. In this setting, we formalise the notion of normalisation strategy and we prove a formal coherence theorem for convergent abstract rewriting systems.

Original languageEnglish
Title of host publicationRelational and Algebraic Methods in Computer Science - 19th International Conference, RAMiCS 2021, Proceedings
EditorsUli Fahrenberg, Mai Gehrke, Luigi Santocanale, Michael Winter
PublisherSpringer Science and Business Media Deutschland GmbH
Pages108-125
Number of pages18
ISBN (Print)9783030887001
DOIs
Publication statusPublished - 1 Jan 2021
Event19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021 - Marseille, France
Duration: 2 Nov 20215 Nov 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13027 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2021
Country/TerritoryFrance
CityMarseille
Period2/11/215/11/21

Keywords

  • Coherence
  • Formalisation
  • Higher-dimensional rewriting
  • Kleene algebras
  • Normalisation strategies

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