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.2021.15
URN: urn:nbn:de:0030-drops-139109
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/13910/
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Cruz-Filipe, Luís ; Montesi, Fabrizio ; Peressotti, Marco

Formalising a Turing-Complete Choreographic Language in Coq

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LIPIcs-ITP-2021-15.pdf (0.6 MB)

Abstract

The theory of choreographic languages typically includes a number of complex results that are proved by structural induction. The high number of cases and the subtle details in some of them lead to long reviewing processes, and occasionally to errors being found in published proofs. In this work, we take a published proof of Turing completeness of a choreographic language and formalise it in Coq. Our development includes formalising the choreographic language, its basic properties, Kleene’s theory of partial recursive functions, the encoding of these functions as choreographies, and a proof that this encoding is correct.
With this effort, we show that theorem proving can be a very useful tool in the field of choreographic languages: besides the added degree of confidence that we get from a mechanised proof, the formalisation process led us to a significant simplification of the underlying theory. Our results offer a foundation for the future formal development of choreographic languages.

BibTeX - Entry

@InProceedings{cruzfilipe_et_al:LIPIcs.ITP.2021.15,
  author =	{Cruz-Filipe, Lu{\'\i}s and Montesi, Fabrizio and Peressotti, Marco},
  title =	{{Formalising a Turing-Complete Choreographic Language in Coq}},
  booktitle =	{12th International Conference on Interactive Theorem Proving (ITP 2021)},
  pages =	{15:1--15:18},
  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/2021/13910},
  URN =		{urn:nbn:de:0030-drops-139109},
  doi =		{10.4230/LIPIcs.ITP.2021.15},
  annote =	{Keywords: Choreographic Programming, Formalisation, Turing Completeness}
}

Keywords: Choreographic Programming, Formalisation, Turing Completeness
Collection: 12th International Conference on Interactive Theorem Proving (ITP 2021)
Issue Date: 2021
Date of publication: 21.06.2021
Supplementary Material: Software: https://doi.org/10.5281/zenodo.4479102

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