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Approximate bisimulation minimisation

Abstract:
We propose polynomial-time algorithms to minimise labelled Markov chains whose transition probabilities are not known exactly, have been perturbed, or can only be obtained by sampling. Our algorithms are based on a new notion of an approximate bisimulation quotient, obtained by lumping together states that are exactly bisimilar in a slightly perturbed system. We present experiments that show that our algorithms are able to recover the structure of the bisimulation quotient of the unperturbed system.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.FSTTCS.2021.48

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
St John's College
Role:
Author
ORCID:
0000-0003-4173-6877


More from this funder
Grant:
URF/R/180025
RGF\EA\181041


Publisher:
Schloss Dagstuhl
Host title:
41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)
Volume:
213
Pages:
48:1--48:16
Series:
Leibniz International Proceedings in Informatics
Publication date:
2021-11-29
Acceptance date:
2021-09-20
Event title:
41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Event location:
Virtual event
Event website:
https://www.fsttcs.org.in/2021/
Event start date:
2021-12-15
Event end date:
2021-12-17
DOI:
ISSN:
1868-8969
ISBN:
978-3-95977-215-0


Language:
English
Keywords:
Pubs id:
1198836
Local pid:
pubs:1198836
Deposit date:
2021-10-05
ARK identifier:

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