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DOI: 10.4230/LIPIcs.CONCUR.2024.37

A Spectrum of Approximate Probabilistic Bisimulations

Authors: Timm Spork, Christel Baier, Joost-Pieter Katoen, Jakob Piribauer, and Tim Quatmann

Published in: LIPIcs, Volume 311, 35th International Conference on Concurrency Theory (CONCUR 2024)

Abstract

This paper studies various notions of approximate probabilistic bisimulation on labeled Markov chains (LMCs). We introduce approximate versions of weak and branching bisimulation, as well as a notion of ε-perturbed bisimulation that relates LMCs that can be made (exactly) probabilistically bisimilar by small perturbations of their transition probabilities. We explore how the notions interrelate and establish their connections to other well-known notions like ε-bisimulation.

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Timm Spork, Christel Baier, Joost-Pieter Katoen, Jakob Piribauer, and Tim Quatmann. A Spectrum of Approximate Probabilistic Bisimulations. In 35th International Conference on Concurrency Theory (CONCUR 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 311, pp. 37:1-37:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{spork_et_al:LIPIcs.CONCUR.2024.37,
  author =	{Spork, Timm and Baier, Christel and Katoen, Joost-Pieter and Piribauer, Jakob and Quatmann, Tim},
  title =	{{A Spectrum of Approximate Probabilistic Bisimulations}},
  booktitle =	{35th International Conference on Concurrency Theory (CONCUR 2024)},
  pages =	{37:1--37:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-339-3},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{311},
  editor =	{Majumdar, Rupak and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2024.37},
  URN =		{urn:nbn:de:0030-drops-208099},
  doi =		{10.4230/LIPIcs.CONCUR.2024.37},
  annote =	{Keywords: Markov chains, Approximate bisimulation, Abstraction, Model checking}
}

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A Spectrum of Approximate Probabilistic Bisimulations

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