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DOI: 10.4230/LIPIcs.CONCUR.2015.412
URN: urn:nbn:de:0030-drops-53661
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5366/
Carbone, Marco ; Montesi, Fabrizio ; Schürmann, Carsten ; Yoshida, Nobuko
Multiparty Session Types as Coherence Proofs
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Abstract
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.
BibTeX - Entry
@InProceedings{carbone_et_al:LIPIcs:2015:5366,
author = {Marco Carbone and Fabrizio Montesi and Carsten Sch{\"u}rmann and Nobuko Yoshida},
title = {{Multiparty Session Types as Coherence Proofs}},
booktitle = {26th International Conference on Concurrency Theory (CONCUR 2015)},
pages = {412--426},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-91-0},
ISSN = {1868-8969},
year = {2015},
volume = {42},
editor = {Luca Aceto and David de Frutos Escrig},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2015/5366},
URN = {urn:nbn:de:0030-drops-53661},
doi = {10.4230/LIPIcs.CONCUR.2015.412},
annote = {Keywords: Programming languages, Type systems, Session Types, Linear Logic}
}
| Keywords: | Programming languages, Type systems, Session Types, Linear Logic | |
| Seminar: | 26th International Conference on Concurrency Theory (CONCUR 2015) | |
| Issue date: | 2015 | |
| Date of publication: | 26.08.2015 |
