Coherence modulo relations

International audienceThe computation of minimal convergent presentations for monoids, categories or higher-dimensional categories appear in low-dimensional combinatorial problems on these structures, such as coherence problems. A method to compute coherent presentations using convergent string rewriting systems was developed following works of Squier. In this approach, coherence results are formulated in terms of confluence diagrams of critical pairs. This work proposes an extension of these methods to string rewriting systems modulo