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Conference Papers Year : 2021

Abstract strategies and coherence

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.
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Dates and versions

hal-03334734 , version 1 (04-09-2021)

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  • HAL Id : hal-03334734 , version 1

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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⟩
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