@InProceedings{kirst_et_al:LIPIcs.ITP.2021.23,
  author =	{Kirst, Dominik and Hermes, Marc},
  title =	{{Synthetic Undecidability and Incompleteness of First-Order Axiom Systems in Coq}},
  booktitle =	{12th International Conference on Interactive Theorem Proving (ITP 2021)},
  pages =	{23:1--23:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-188-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{193},
  editor =	{Cohen, Liron and Kaliszyk, Cezary},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2021.23},
  URN =		{urn:nbn:de:0030-drops-139188},
  doi =		{10.4230/LIPIcs.ITP.2021.23},
  annote =	{Keywords: undecidability, synthetic computability, first-order logic, incompleteness, Peano arithmetic, ZF set theory, constructive type theory, Coq}
}