License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ITP.2021.16
URN: urn:nbn:de:0030-drops-139112
URL: https://drops.dagstuhl.de/opus/volltexte/2021/13911/
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De Lon, Adrian ; Koepke, Peter ; Lorenzen, Anton

A Natural Formalization of the Mutilated Checkerboard Problem in Naproche

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LIPIcs-ITP-2021-16.pdf (0.6 MB)


Abstract

Naproche is an emerging natural proof assistant that accepts input in a controlled natural language for mathematics, which we have integrated with LaTeX for ease of learning and to quickly produce high-quality typeset documents. We present a self-contained formalization of the Mutilated Checkerboard Problem in Naproche, following a proof sketch by John McCarthy. The formalization is embedded in detailed literate style comments. We also briefly describe the Naproche approach.

BibTeX - Entry

@InProceedings{delon_et_al:LIPIcs.ITP.2021.16,
  author =	{De Lon, Adrian and Koepke, Peter and Lorenzen, Anton},
  title =	{{A Natural Formalization of the Mutilated Checkerboard Problem in Naproche}},
  booktitle =	{12th International Conference on Interactive Theorem Proving (ITP 2021)},
  pages =	{16:1--16:11},
  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/opus/volltexte/2021/13911},
  URN =		{urn:nbn:de:0030-drops-139112},
  doi =		{10.4230/LIPIcs.ITP.2021.16},
  annote =	{Keywords: checkerboard, formalization, formal mathematics, controlled language}
}

Keywords: checkerboard, formalization, formal mathematics, controlled language
Collection: 12th International Conference on Interactive Theorem Proving (ITP 2021)
Issue Date: 2021
Date of publication: 21.06.2021
Supplementary Material: Software (Source Code): https://github.com/naproche/naproche


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