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Virtualization of HOL4 in Isabelle

Authors: Fabian Immler, Jonas Rädle, and Makarius Wenzel

Published in: LIPIcs, Volume 141, 10th International Conference on Interactive Theorem Proving (ITP 2019)


Abstract
We present a novel approach to combine the HOL4 and Isabelle theorem provers: both are implemented in SML and based on distinctive variants of HOL. The design of HOL4 allows to replace its inference kernel modules, and the system infrastructure of Isabelle allows to embed other applications of SML. That is the starting point to provide a virtual instance of HOL4 in the same run-time environment as Isabelle. Moreover, with an implementation of a virtual HOL4 kernel that operates on Isabelle/HOL terms and theorems, we can load substantial HOL4 libraries to make them Isabelle theories, but still disconnected from existing Isabelle content. Finally, we introduce a methodology based on the transfer package of Isabelle to connect the imported HOL4 material to that of Isabelle/HOL.

Cite as

Fabian Immler, Jonas Rädle, and Makarius Wenzel. Virtualization of HOL4 in Isabelle. In 10th International Conference on Interactive Theorem Proving (ITP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 141, pp. 21:1-21:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{immler_et_al:LIPIcs.ITP.2019.21,
  author =	{Immler, Fabian and R\"{a}dle, Jonas and Wenzel, Makarius},
  title =	{{Virtualization of HOL4 in Isabelle}},
  booktitle =	{10th International Conference on Interactive Theorem Proving (ITP 2019)},
  pages =	{21:1--21:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-122-1},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{141},
  editor =	{Harrison, John and O'Leary, John and Tolmach, Andrew},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2019.21},
  URN =		{urn:nbn:de:0030-drops-110760},
  doi =		{10.4230/LIPIcs.ITP.2019.21},
  annote =	{Keywords: Virtualization, HOL4, Isabelle, Isabelle/HOL, Isabelle/ML}
}
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