is an overlapping branching, let us write (A, B) = (f 1 uA 1 v 1 g, f 1 uB 1 v 1 g), where (A 1 , B 1 ) is a critical pair. Let A 1 , B 1 and ? 1 be the cells associated with (A 1 , B 1 ). We then define A := f 1 uA 1 v 1 g ,
Introduction to bicategories, Reports of the Midwest Category Seminar, pp.1-77, 1967. ,
DOI : 10.1007/BF01451367
Higher-dimensional word problems with applications to equational logic. Theoretical computer science, pp.43-62, 1993. ,
THE SUBWORD REVERSING METHOD, International Journal of Algebra and Computation, vol.21, issue.01n02, pp.71-118, 2011. ,
DOI : 10.1142/S0218196711006091
URL : https://hal.archives-ouvertes.fr/hal-00442274
Coherent presentations of Artin monoids, Compositio Mathematica, vol.22, issue.05, pp.957-998, 2015. ,
DOI : 10.1090/pspum/056.2/1278735
URL : https://hal.archives-ouvertes.fr/hal-00682233
Higher-dimensional categories with finite derivation type, Theory and Applications of Categories, vol.22, issue.18, pp.420-478, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00326974
Coherence in monoidal track categories, Mathematical Structures in Computer Science, vol.26, issue.06, pp.931-969, 2012. ,
DOI : 10.1090/S0002-9904-1965-11234-4
URL : https://hal.archives-ouvertes.fr/hal-00470795
Higher-dimensional normalisation strategies for acyclicity, Advances in Mathematics, vol.231, issue.3-4, pp.2294-2351, 2012. ,
DOI : 10.1016/j.aim.2012.05.010
URL : https://hal.archives-ouvertes.fr/hal-00531242
Coherence theorems for lax algebras and for distributive laws, Category seminar, pp.281-375, 1974. ,
Closed coherence for a natural transformation, Coherence in categories, pp.1-28, 1972. ,
Combinatorial group theory, 2015. ,
Natural associativity and commutativity, Rice University Studies, vol.49, issue.4, pp.28-46, 1963. ,
Coherence for bicategories and indexed categories, Journal of Pure and Applied Algebra, vol.37, issue.1, pp.59-80, 1985. ,
Cofibrant objects among higher-dimensional categories. Homology, Homotopy and Applications, pp.181-203, 2008. ,
A general coherence result, Journal of Pure and Applied Algebra, vol.57, issue.2, pp.165-173, 1989. ,
DOI : 10.1016/0022-4049(89)90113-8
A finiteness condition for rewriting systems, Theoretical Computer Science, vol.131, issue.2, pp.271-294, 1994. ,
Limits indexed by category-valued 2-functors, Journal of Pure and Applied Algebra, vol.8, issue.2, pp.149-181, 1976. ,
DOI : 10.1016/0022-4049(76)90013-X
The algebra of oriented simplexes, Journal of Pure and Applied Algebra, vol.49, issue.3, pp.283-335, 1987. ,
DOI : 10.1016/0022-4049(87)90137-X
Categorical structures. Handbook of algebra, pp.529-577, 1996. ,