A Spectrum of Approximate Probabilistic Bisimulations

التفاصيل البيبلوغرافية
العنوان: A Spectrum of Approximate Probabilistic Bisimulations
المؤلفون: Spork, Timm, Baier, Christel, Katoen, Joost-Pieter, Piribauer, Jakob, Quatmann, Tim
سنة النشر: 2024
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Logic in Computer Science
الوصف: 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 $\varepsilon$-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 $\varepsilon$-bisimulation.
Comment: Full version of a paper accepted for publication at CONCUR 2024
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.07584
رقم الأكسشن: edsarx.2407.07584
قاعدة البيانات: arXiv