@InProceedings{larcheywendling_et_al:LIPIcs.FSCD.2019.27, author = {Larchey-Wendling, Dominique and Forster, Yannick}, title = {{Hilbert’s Tenth Problem in Coq}}, booktitle = {4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)}, pages = {27:1--27:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-107-8}, ISSN = {1868-8969}, year = {2019}, volume = {131}, editor = {Geuvers, Herman}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2019.27}, URN = {urn:nbn:de:0030-drops-105342}, doi = {10.4230/LIPIcs.FSCD.2019.27}, annote = {Keywords: Hilbert’s tenth problem, Diophantine equations, undecidability, computability theory, reduction, Minsky machines, Fractran, Coq, type theory} }