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DOI: 10.4230/LIPIcs.CONCUR.2016.21
URN: urn:nbn:de:0030-drops-61569
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6156/
Bacci, Giorgio ; Bacci, Giovanni ; G. Larsen, Kim ; Mardare, Radu
Complete Axiomatization for the Bisimilarity Distance on Markov Chains
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Abstract
In this paper we propose a complete axiomatization of the bisimilarity distance of Desharnais et al. for the class of finite labelled Markov chains. Our axiomatization is given in the style of a quantitative extension of equational logic recently proposed by Mardare, Panangaden, and Plotkin (LICS'16) that uses equality relations t =_e s indexed by rationals, expressing that "t is approximately equal to s up to an error e".Notably, our quantitative deductive system extends in a natural way the equational system for probabilistic bisimilarity given by Stark and Smolka by introducing an axiom for dealing with the Kantorovich distance between probability distributions.
BibTeX - Entry
@InProceedings{bacci_et_al:LIPIcs:2016:6156,
author = {Giorgio Bacci and Giovanni Bacci and Kim G. Larsen and Radu Mardare},
title = {{Complete Axiomatization for the Bisimilarity Distance on Markov Chains}},
booktitle = {27th International Conference on Concurrency Theory (CONCUR 2016)},
pages = {21:1--21:14},
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/2016/6156},
URN = {urn:nbn:de:0030-drops-61569},
doi = {10.4230/LIPIcs.CONCUR.2016.21},
annote = {Keywords: Markov chains, Behavioral distances, Axiomatization}
}
| Keywords: | Markov chains, Behavioral distances, Axiomatization | |
| Seminar: | 27th International Conference on Concurrency Theory (CONCUR 2016) | |
| Issue date: | 2016 | |
| Date of publication: | 24.08.2016 |
