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Asynchronous Multiparty Session Type Implementability is Decidable - Lessons Learned from Message Sequence Charts

Author Felix Stutz

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Author Details

Felix Stutz
  • MPI-SWS, Kaiserslautern, Germany

Funding

This research was sponsored in part by the Deutsche Forschungsgemeinschaft project 389792660 TRR 248 - CPEC.

Acknowledgements

The author thanks Damien Zufferey, Emanuele D'Osualdo, Ashwani Anand, Rupak Majumdar, and the anonymous reviewers for their valuable feedback.

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Felix Stutz. Asynchronous Multiparty Session Type Implementability is Decidable - Lessons Learned from Message Sequence Charts. In 37th European Conference on Object-Oriented Programming (ECOOP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 263, pp. 32:1-32:31, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.ECOOP.2023.32

Abstract

Multiparty session types (MSTs) provide efficient means to specify and verify asynchronous message-passing systems. For a global type, which specifies all interactions between roles in a system, the implementability problem asks whether there are local specifications for all roles such that their composition is deadlock-free and generates precisely the specified executions. Decidability of the implementability problem is an open question. We answer it positively for global types with sender-driven choice, which allow a sender to send to different receivers upon branching and a receiver to receive from different senders. To achieve this, we generalise results from the domain of high-level message sequence charts (HMSCs). This connection also allows us to comprehensively investigate how HMSC techniques can be adapted to the MST setting. This comprises techniques to make the problem algorithmically more tractable as well as a variant of implementability that may open new design space for MSTs. Inspired by potential performance benefits, we introduce a generalisation of the implementability problem that we, unfortunately, prove to be undecidable.

Subject Classification

ACM Subject Classification
  • Theory of computation → Concurrency
Keywords
  • Multiparty session types
  • Verification
  • Message sequence charts

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