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DOI: 10.4230/LIPIcs.ITP.2023.28

A Sound and Complete Projection for Global Types

Authors: Dawit Tirore, Jesper Bengtson, and Marco Carbone

Published in: LIPIcs, Volume 268, 14th International Conference on Interactive Theorem Proving (ITP 2023)

Abstract

Multiparty session types is a typing discipline used to write specifications, known as global types, for branching and recursive message-passing systems. A necessary operation on global types is projection to abstractions of local behaviour, called local types. Typically, this is a computable partial function that given a global type and a role erases all details irrelevant to this role. Computable projection functions in the literature are either unsound or too restrictive when dealing with recursion and branching. Recent work has taken a more general approach to projection defining it as a coinductive, but not computable, relation. Our work defines a new computable projection function that is sound and complete with respect to its coinductive counterpart and, hence, equally expressive. All results have been mechanised in the Coq proof assistant.

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Dawit Tirore, Jesper Bengtson, and Marco Carbone. A Sound and Complete Projection for Global Types. In 14th International Conference on Interactive Theorem Proving (ITP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 268, pp. 28:1-28:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{tirore_et_al:LIPIcs.ITP.2023.28,
  author =	{Tirore, Dawit and Bengtson, Jesper and Carbone, Marco},
  title =	{{A Sound and Complete Projection for Global Types}},
  booktitle =	{14th International Conference on Interactive Theorem Proving (ITP 2023)},
  pages =	{28:1--28:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-284-6},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{268},
  editor =	{Naumowicz, Adam and Thiemann, Ren\'{e}},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2023.28},
  URN =		{urn:nbn:de:0030-drops-184039},
  doi =		{10.4230/LIPIcs.ITP.2023.28},
  annote =	{Keywords: Session types, Mechanisation, Projection, Coq}
}

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A Sound and Complete Projection for Global Types

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