License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TYPES.2022.5
URN: urn:nbn:de:0030-drops-184485
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18448/
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Padovani, Luca

On the Fair Termination of Client-Server Sessions

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LIPIcs-TYPES-2022-5.pdf (0.8 MB)

Abstract

Client-server sessions are based on a variation of the traditional interpretation of linear logic propositions as session types in which non-linear channels (those regulating the interaction between a pool of clients and a single server) are typed by coexponentials instead of the usual exponentials. Coexponentials enable the modeling of racing interactions, whereby clients compete to interact with a single server whose internal state (and thus the offered service) may change as the server processes requests sequentially. In this work we present a fair termination result for CSLL^∞, a core calculus of client-server sessions. We design a type system such that every well-typed term corresponds to a valid derivation in μMALL^∞, the infinitary proof theory of linear logic with least and greatest fixed points. We then establish a correspondence between reductions in the calculus and principal reductions in μMALL^∞. Fair termination in CSLL^∞ follows from cut elimination in μMALL^∞.

BibTeX - Entry

@InProceedings{padovani:LIPIcs.TYPES.2022.5,
  author =	{Padovani, Luca},
  title =	{{On the Fair Termination of Client-Server Sessions}},
  booktitle =	{28th International Conference on Types for Proofs and Programs (TYPES 2022)},
  pages =	{5:1--5:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-285-3},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{269},
  editor =	{Kesner, Delia and P\'{e}drot, Pierre-Marie},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18448},
  URN =		{urn:nbn:de:0030-drops-184485},
  doi =		{10.4230/LIPIcs.TYPES.2022.5},
  annote =	{Keywords: client-server sessions, linear logic, fixed points, fair termination, cut elimination}
}

Keywords: client-server sessions, linear logic, fixed points, fair termination, cut elimination
Collection: 28th International Conference on Types for Proofs and Programs (TYPES 2022)
Issue Date: 2023
Date of publication: 28.07.2023

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