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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.

Cite as

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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