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Multiparty Session Types as Coherence Proofs

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We propose a Curry-Howard correspondence between a language for programming multiparty sessions and a generalisation of Classical Linear Logic (CLL). In this framework, propositions correspond to the local behaviour of a participant in a multiparty session type, proofs to processes, and proof normalisation to executing communications. Our key contribution is generalising duality, from CLL, to a new notion of n-ary compatibility, called coherence. Building on coherence as a principle of compositionality, we generalise the cut rule of CLL to a new rule for composing many processes communicating in a multiparty session. We prove the soundness of our model by showing the admissibility of our new rule, which entails deadlock-freedom via our correspondence.
Original languageEnglish
Title of host publication26th International Conference on Concurrency Theory (CONCUR 2015) : Leibniz International Proceedings in Informatics
Number of pages15
Volume42
PublisherSchloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH
Publication date2015
Pages412
Chapter426
ISBN (Electronic)978-3-939897-91-0
DOIs
Publication statusPublished - 2015

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