@InProceedings{dong:LIPIcs.ICALP.2023.124, author = {Dong, Ruiwen}, title = {{The Identity Problem in \mathbb{Z} ≀ \mathbb{Z} Is Decidable}}, booktitle = {50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)}, pages = {124:1--124:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-278-5}, ISSN = {1868-8969}, year = {2023}, volume = {261}, editor = {Etessami, Kousha and Feige, Uriel and Puppis, Gabriele}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2023.124}, URN = {urn:nbn:de:0030-drops-181768}, doi = {10.4230/LIPIcs.ICALP.2023.124}, annote = {Keywords: wreath product, algorithmic group theory, identity problem, polynomial semiring, positive coefficients} }