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Separating Sessions Smoothly

Authors Simon Fowler , Wen Kokke, Ornela Dardha , Sam Lindley, J. Garrett Morris

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ACM Subject Classification
  • Software and its engineering → Functional languages
  • Theory of computation → Linear logic
Keywords
  • session types
  • hypersequents
  • linear lambda calculus

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Abstract

This paper introduces Hypersequent GV (HGV), a modular and extensible core calculus for functional programming with session types that enjoys deadlock freedom, confluence, and strong normalisation. HGV exploits hyper-environments, which are collections of type environments, to ensure that structural congruence is type preserving. As a consequence we obtain a tight operational correspondence between HGV and HCP, a hypersequent-based process-calculus interpretation of classical linear logic. Our translations from HGV to HCP and vice-versa both preserve and reflect reduction. HGV scales smoothly to support Girard’s Mix rule, a crucial ingredient for channel forwarding and exceptions.

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Simon Fowler, Wen Kokke, Ornela Dardha, Sam Lindley, and J. Garrett Morris. Separating Sessions Smoothly. In 32nd International Conference on Concurrency Theory (CONCUR 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 203, pp. 36:1-36:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.CONCUR.2021.36

Author Details

Simon Fowler
  • University of Glasgow, UK
Wen Kokke
  • The University of Edinburgh, UK
Ornela Dardha
  • University of Glasgow, UK
Sam Lindley
  • The University of Edinburgh, UK
J. Garrett Morris
  • The University of Iowa, Iowa City, IA, USA

Funding

Work supported by EPSRC grants EP/K034413/1 (ABCD), EP/T014628/1 (STARDUST), EP/L01503X/1 (CDT PPar), ERC Consolidator Grant 682315 (Skye), UKRI Future Leaders Fellowship MR/T043830/1 (EHOP), a UK Government ISCF Metrology Fellowship grant, EU HORIZON 2020 MSCA RISE project 778233 (BehAPI), and NSF grant CCF-2044815.

Acknowledgements

We thank the anonymous reviewers for their helpful comments and suggestions.

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