Multiparty session types as coherence proofs

Marco Carbone, Fabrizio Montesi, Fabrizio Montesi, Carsten Schürmann, Nobuko Yoshida

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Abstrakt

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.
OriginalsprogEngelsk
TidsskriftActa Informatica
Vol/bind54
Udgave nummer3
Sider (fra-til)243-269
ISSN0001-5903
DOI
StatusUdgivet - 2017

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