@InProceedings{demeo_et_al:LIPIcs.TYPES.2021.4, author = {DeMeo, William and Carette, Jacques}, title = {{A Machine-Checked Proof of Birkhoff’s Variety Theorem in Martin-L\"{o}f Type Theory}}, booktitle = {27th International Conference on Types for Proofs and Programs (TYPES 2021)}, pages = {4:1--4:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-254-9}, ISSN = {1868-8969}, year = {2022}, volume = {239}, editor = {Basold, Henning and Cockx, Jesper and Ghilezan, Silvia}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2021.4}, URN = {urn:nbn:de:0030-drops-167737}, doi = {10.4230/LIPIcs.TYPES.2021.4}, annote = {Keywords: Agda, constructive mathematics, dependent types, equational logic, formal verification, Martin-L\"{o}f type theory, model theory, universal algebra} }