@InProceedings{carneiro:LIPIcs.ITP.2019.12, author = {Carneiro, Mario}, title = {{Formalizing Computability Theory via Partial Recursive Functions}}, booktitle = {10th International Conference on Interactive Theorem Proving (ITP 2019)}, pages = {12:1--12:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-122-1}, ISSN = {1868-8969}, year = {2019}, volume = {141}, editor = {Harrison, John and O'Leary, John and Tolmach, Andrew}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2019.12}, URN = {urn:nbn:de:0030-drops-110671}, doi = {10.4230/LIPIcs.ITP.2019.12}, annote = {Keywords: Lean, computability, halting problem, primitive recursion} }