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.
https://hal.archives-ouvertes.fr/hal-03334734 Contributor : Philippe MalbosConnect in order to contact the contributor Submitted on : Saturday, September 4, 2021 - 11:25:07 PM Last modification on : Tuesday, April 26, 2022 - 2:00:02 AM Long-term archiving on: : Sunday, December 5, 2021 - 6:12:56 PM
Cameron Calk, Eric Goubault, Philippe Malbos. Abstract strategies and coherence. 19th International Conference on Relational and Algebraic Methods in Computer Science RAMICS 2021, Nov 2021, Marseille, France. ⟨hal-03334734⟩