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DOI: 10.4230/LIPIcs.CONCUR.2018.17
URN: urn:nbn:de:0030-drops-95552
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9555/
Bonchi, Filippo ; König, Barbara ; Petrisan, Daniela
Up-To Techniques for Behavioural Metrics via Fibrations
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Abstract
Up-to techniques are a well-known method for enhancing coinductive proofs of behavioural equivalences. We introduce up-to techniques for behavioural metrics between systems modelled as coalgebras and we provide abstract results to prove their soundness in a compositional way. In order to obtain a general framework, we need a systematic way to lift functors: we show that the Wasserstein lifting of a functor, introduced in a previous work, corresponds to a change of base in a fibrational sense. This observation enables us to reuse existing results about soundness of up-to techniques in a fibrational setting. We focus on the fibrations of predicates and relations valued in a quantale, for which pseudo-metric spaces are an example. To illustrate our approach we provide an example on distances between regular languages.
BibTeX - Entry
@InProceedings{bonchi_et_al:LIPIcs:2018:9555,
author = {Filippo Bonchi and Barbara K{\"o}nig and Daniela Petrisan},
title = {{Up-To Techniques for Behavioural Metrics via Fibrations}},
booktitle = {29th International Conference on Concurrency Theory (CONCUR 2018)},
pages = {17:1--17:17},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-087-3},
ISSN = {1868-8969},
year = {2018},
volume = {118},
editor = {Sven Schewe and Lijun Zhang},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9555},
URN = {urn:nbn:de:0030-drops-95552},
doi = {10.4230/LIPIcs.CONCUR.2018.17},
annote = {Keywords: behavioural metrics, bisimilarity, up-to techniques, coalgebras, fibrations}
}
| Keywords: | behavioural metrics, bisimilarity, up-to techniques, coalgebras, fibrations | |
| Seminar: | 29th International Conference on Concurrency Theory (CONCUR 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 31.08.2018 |
