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DOI: 10.4230/LIPIcs.CONCUR.2024.30

Around Classical and Intuitionistic Linear Processes

Authors: Juan C. Jaramillo, Dan Frumin, and Jorge A. Pérez

Published in: LIPIcs, Volume 311, 35th International Conference on Concurrency Theory (CONCUR 2024)

Abstract

Curry-Howard correspondences between Linear Logic (LL) and session types provide a firm foundation for concurrent processes. As the correspondences hold for intuitionistic and classical versions of LL (ILL and CLL), we obtain two different families of type systems for concurrency. An open question remains: how do these two families exactly relate to each other? Based upon a translation from CLL to ILL due to Laurent, we provide two complementary answers, in the form of full abstraction results based on a typed observational equivalence due to Atkey. Our results elucidate hitherto missing formal links between seemingly related yet different type systems for concurrency.

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Juan C. Jaramillo, Dan Frumin, and Jorge A. Pérez. Around Classical and Intuitionistic Linear Processes. In 35th International Conference on Concurrency Theory (CONCUR 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 311, pp. 30:1-30:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{jaramillo_et_al:LIPIcs.CONCUR.2024.30,
  author =	{Jaramillo, Juan C. and Frumin, Dan and P\'{e}rez, Jorge A.},
  title =	{{Around Classical and Intuitionistic Linear Processes}},
  booktitle =	{35th International Conference on Concurrency Theory (CONCUR 2024)},
  pages =	{30:1--30:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-339-3},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{311},
  editor =	{Majumdar, Rupak and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2024.30},
  URN =		{urn:nbn:de:0030-drops-208026},
  doi =		{10.4230/LIPIcs.CONCUR.2024.30},
  annote =	{Keywords: Process calculi, session types, linear logic}
}

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Around Classical and Intuitionistic Linear Processes

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