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DOI: 10.4230/LIPIcs.CONCUR.2023.11

Subtyping Context-Free Session Types

Authors: Gil Silva, Andreia Mordido, and Vasco T. Vasconcelos

Published in: LIPIcs, Volume 279, 34th International Conference on Concurrency Theory (CONCUR 2023)

Abstract

Context-free session types describe structured patterns of communication on heterogeneously typed channels, allowing the specification of protocols unconstrained by tail recursion. The enhanced expressive power provided by non-regular recursion comes, however, at the cost of the decidability of subtyping, even if equivalence is still decidable. We present an approach to subtyping context-free session types based on a novel kind of observational preorder we call XYZW-simulation, which generalizes XY-simulation (also known as covariant-contravariant simulation) and therefore also bisimulation and plain simulation. We further propose a subtyping algorithm that we prove to be sound, and present an empirical evaluation in the context of a compiler for a programming language. Due to the general nature of the simulation relation upon which it is built, this algorithm may also find applications in other domains.

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Gil Silva, Andreia Mordido, and Vasco T. Vasconcelos. Subtyping Context-Free Session Types. In 34th International Conference on Concurrency Theory (CONCUR 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 279, pp. 11:1-11:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{silva_et_al:LIPIcs.CONCUR.2023.11,
  author =	{Silva, Gil and Mordido, Andreia and Vasconcelos, Vasco T.},
  title =	{{Subtyping Context-Free Session Types}},
  booktitle =	{34th International Conference on Concurrency Theory (CONCUR 2023)},
  pages =	{11:1--11:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-299-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{279},
  editor =	{P\'{e}rez, Guillermo A. and Raskin, Jean-Fran\c{c}ois},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2023.11},
  URN =		{urn:nbn:de:0030-drops-190055},
  doi =		{10.4230/LIPIcs.CONCUR.2023.11},
  annote =	{Keywords: Session types, Subtyping, Simulation, Simple grammars, Non-regular recursion}
}

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Subtyping Context-Free Session Types

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