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.2016.33
URN: urn:nbn:de:0030-drops-61811
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6181/
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Carbone, Marco ; Lindley, Sam ; Montesi, Fabrizio ; Schürmann, Carsten ; Wadler, Philip

Coherence Generalises Duality: A Logical Explanation of Multiparty Session Types

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LIPIcs-CONCUR-2016-33.pdf (0.6 MB)

Abstract

Wadler introduced Classical Processes (CP), a calculus based on a propositions-as-types correspondence between propositions of classical linear logic and session types. Carbone et al. introduced Multiparty Classical Processes, a calculus that generalises CP to multiparty session types, by replacing the duality of classical linear logic (relating two types) with a more general notion of coherence (relating an arbitrary number of types). This paper introduces variants of CP and MCP, plus a new intermediate calculus of Globally-governed Classical Processes (GCP). We show a tight relation between these three calculi, giving semantics-preserving translations from GCP to CP and from MCP to GCP. The translation from GCP to CP interprets a coherence proof as an arbiter process that mediates communications in a session, while MCP adds annotations that permit processes to communicate directly without centralised control.

BibTeX - Entry

@InProceedings{carbone_et_al:LIPIcs:2016:6181,
  author =	{Marco Carbone and Sam Lindley and Fabrizio Montesi and Carsten Sch{\"u}rmann and Philip Wadler},
  title =	{{Coherence Generalises Duality: A Logical Explanation of Multiparty Session Types}},
  booktitle =	{27th International Conference on Concurrency Theory (CONCUR 2016)},
  pages =	{33:1--33:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-017-0},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{59},
  editor =	{Jos{\'e}e Desharnais and Radha Jagadeesan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6181},
  URN =		{urn:nbn:de:0030-drops-61811},
  doi =		{10.4230/LIPIcs.CONCUR.2016.33},
  annote =	{Keywords: Multiparty Session Types, Linear Logic, Propositions as Types}
}

Keywords: Multiparty Session Types, Linear Logic, Propositions as Types
Collection: 27th International Conference on Concurrency Theory (CONCUR 2016)
Issue Date: 2016
Date of publication: 24.08.2016

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