Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)when quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2016.33
URN: urn:nbn:de:0030-drops-61811
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6181/
Carbone, Marco ; Lindley, Sam ; Montesi, Fabrizio ; Schürmann, Carsten ; Wadler, Philip
Coherence Generalises Duality: A Logical Explanation of Multiparty Session Types
| pdf-format: |
|
Abstract
Wadler introduced Classical Processes (CP), a calculus based on a propositions-as-types correspondence between propositions of classical linear logic and session types. Carbone et al. introduced Multiparty Classical Processes, a calculus that generalises CP to multiparty session types, by replacing the duality of classical linear logic (relating two types) with a more general notion of coherence (relating an arbitrary number of types). This paper introduces variants of CP and MCP, plus a new intermediate calculus of Globally-governed Classical Processes (GCP). We show a tight relation between these three calculi, giving semantics-preserving translations from GCP to CP and from MCP to GCP. The translation from GCP to CP interprets a coherence proof as an arbiter process that mediates communications in a session, while MCP adds annotations that permit processes to communicate directly without centralised control.
BibTeX - Entry
@InProceedings{carbone_et_al:LIPIcs:2016:6181,
author = {Marco Carbone and Sam Lindley and Fabrizio Montesi and Carsten Sch{\"u}rmann and Philip Wadler},
title = {{Coherence Generalises Duality: A Logical Explanation of Multiparty Session Types}},
booktitle = {27th International Conference on Concurrency Theory (CONCUR 2016)},
pages = {33:1--33:15},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-017-0},
ISSN = {1868-8969},
year = {2016},
volume = {59},
editor = {Jos{\'e}e Desharnais and Radha Jagadeesan},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2016/6181},
URN = {urn:nbn:de:0030-drops-61811},
doi = {10.4230/LIPIcs.CONCUR.2016.33},
annote = {Keywords: Multiparty Session Types, Linear Logic, Propositions as Types}
}
| Keywords: | Multiparty Session Types, Linear Logic, Propositions as Types | |
| Seminar: | 27th International Conference on Concurrency Theory (CONCUR 2016) | |
| Issue date: | 2016 | |
| Date of publication: | 24.08.2016 |
