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• W2896684324 abstract "A coherent presentation of an n-category is a presentation by generators, relations and relations among relations. Confluent and terminating rewriting systems generate coherent presentations, whose relations among relations are defined by confluence diagrams of critical branchings. This article introduces a procedure to compute coherent presentations when the rewrite relations are defined modulo a set of axioms. Our coherence results are formulated using the structure of n-categories enriched in double groupoids, whose horizontal cells represent rewriting paths, vertical cells represent the congruence generated by the axioms and square cells represent coherence cells induced by diagrams of confluence modulo. We illustrate our constructions on rewriting systems modulo commutation relations in commutative monoids, isotopy relations in pivotal monoidal categories, and inverse relations in groups." @default.
• W2896684324 created "2018-10-26" @default.
• W2896684324 creator A5063718422 @default.
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• W2896684324 date "2022-10-01" @default.
• W2896684324 modified "2023-09-25" @default.
• W2896684324 title "Coherent confluence modulo relations and double groupoids" @default.
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• W2896684324 doi "https://doi.org/10.1016/j.jpaa.2022.107037" @default.
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