@InProceedings{guiraud_et_al:LIPIcs.RTA.2013.223, author = {Guiraud, Yves and Malbos, Philippe and Mimram, Samuel}, title = {{A Homotopical Completion Procedure with Applications to Coherence of Monoids}}, booktitle = {24th International Conference on Rewriting Techniques and Applications (RTA 2013)}, pages = {223--238}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-53-8}, ISSN = {1868-8969}, year = {2013}, volume = {21}, editor = {van Raamsdonk, Femke}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2013.223}, URN = {urn:nbn:de:0030-drops-40649}, doi = {10.4230/LIPIcs.RTA.2013.223}, annote = {Keywords: higher-dimensional rewriting, presentation of monoid, Knuth-Bendix completion, Tietze transformation, low-dimensional homotopy for monoids, coherence} }