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DOI: 10.4230/LIPIcs.TYPES.2015.7
A Certified Study of a Reversible Programming Language

Authors: Luca Paolini, Mauro Piccolo, and Luca Roversi

Published in: LIPIcs, Volume 69, 21st International Conference on Types for Proofs and Programs (TYPES 2015) (2018)

Abstract
We advance in the study of the semantics of Janus, a C-like reversible programming language. Our study makes utterly explicit some backward and forward evaluation symmetries. We want to deepen mathematical knowledge about the foundations and design principles of reversible computing and programming languages. We formalize a big-step operational semantics and a denotational semantics of Janus. We show a full abstraction result between the operational and denotational semantics. Last, we certify our results by means of the proof assistant Matita.
Cite as

Luca Paolini, Mauro Piccolo, and Luca Roversi. A Certified Study of a Reversible Programming Language. In 21st International Conference on Types for Proofs and Programs (TYPES 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 69, pp. 7:1-7:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{paolini_et_al:LIPIcs.TYPES.2015.7,
  author =	{Paolini, Luca and Piccolo, Mauro and Roversi, Luca},
  title =	{{A Certified Study of a Reversible Programming Language}},
  booktitle =	{21st International Conference on Types for Proofs and Programs (TYPES 2015)},
  pages =	{7:1--7:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-030-9},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{69},
  editor =	{Uustalu, Tarmo},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2015.7},
  URN =		{urn:nbn:de:0030-drops-84771},
  doi =		{10.4230/LIPIcs.TYPES.2015.7},
  annote =	{Keywords: reversible computing, Janus, operational semantics, bi-deterministic evaluation, categorical semantics}
}
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