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DOI: 10.4230/LIPIcs.RTA.2011.21

Automated Certified Proofs with CiME3

Authors: Évelyne Contejean, Pierre Courtieu, Julien Forest, Olivier Pons, and Xavier Urbain

Published in: LIPIcs, Volume 10, 22nd International Conference on Rewriting Techniques and Applications (RTA'11) (2011)

Abstract

We present the rewriting toolkit CiME3. Amongst other original features, this version enjoys two kinds of engines: to handle and discover proofs of various properties of rewriting systems, and to generate Coq scripts from proof traces given in certification problem format in order to certify them with a skeptical proof assistant like Coq. Thus, these features open the way for using CiME3 to add automation to proofs of termination or confluence in a formal development in the Coq proof assistant.

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Évelyne Contejean, Pierre Courtieu, Julien Forest, Olivier Pons, and Xavier Urbain. Automated Certified Proofs with CiME3. In 22nd International Conference on Rewriting Techniques and Applications (RTA'11). Leibniz International Proceedings in Informatics (LIPIcs), Volume 10, pp. 21-30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{contejean_et_al:LIPIcs.RTA.2011.21,
  author =	{Contejean, \'{E}velyne and Courtieu, Pierre and Forest, Julien and Pons, Olivier and Urbain, Xavier},
  title =	{{Automated Certified Proofs with CiME3}},
  booktitle =	{22nd International Conference on Rewriting Techniques and Applications (RTA'11)},
  pages =	{21--30},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-30-9},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{10},
  editor =	{Schmidt-Schauss, Manfred},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2011.21},
  URN =		{urn:nbn:de:0030-drops-31192},
  doi =		{10.4230/LIPIcs.RTA.2011.21},
  annote =	{Keywords: Rewriting, Formal Proof, Proof Automation, Proof Assistant}
}

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Automated Certified Proofs with CiME3

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