License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2015.412
URN: urn:nbn:de:0030-drops-53661
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5366/
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Carbone, Marco ; Montesi, Fabrizio ; Schürmann, Carsten ; Yoshida, Nobuko

Multiparty Session Types as Coherence Proofs

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Abstract

We propose a Curry-Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof normalisation to executing communications. Our key contribution is generalising duality, from CLL, to a new notion of n-ary compatibility, called coherence. Building on coherence as a principle of compositionality, we generalise the cut rule of CLL to a new rule for composing many processes communicating in a multiparty session. We prove the soundness of our model by showing the admissibility of our new rule, which entails deadlock-freedom via our correspondence.

BibTeX - Entry

@InProceedings{carbone_et_al:LIPIcs:2015:5366,
  author =	{Marco Carbone and Fabrizio Montesi and Carsten Sch{\"u}rmann and Nobuko Yoshida},
  title =	{{Multiparty Session Types as Coherence Proofs}},
  booktitle =	{26th International Conference on Concurrency Theory (CONCUR 2015)},
  pages =	{412--426},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-91-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{42},
  editor =	{Luca Aceto and David de Frutos Escrig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5366},
  URN =		{urn:nbn:de:0030-drops-53661},
  doi =		{10.4230/LIPIcs.CONCUR.2015.412},
  annote =	{Keywords: Programming languages, Type systems, Session Types, Linear Logic}
}

Keywords: Programming languages, Type systems, Session Types, Linear Logic
Collection: 26th International Conference on Concurrency Theory (CONCUR 2015)
Issue Date: 2015
Date of publication: 26.08.2015

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