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Weak Probabilistic Bisimulation

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Semantics of Probabilistic Processes
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Abstract

By taking the symmetric form of simulation preorder, we obtain a notion of weak probabilistic bisimulation. It provides a sound and complete proof methodology for an extensional behavioural equivalence, a probabilistic variant of the traditional reduction barbed congruence.

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References

  1. Deng, Y., Hennessy, M.: On the semantics of Markov automata. Inf. Comput. 222, 139–168 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  2. Eisentraut, C., Hermanns, H., Zhang, L.: On probabilistic automata in continuous time. Proceedings of the 25th Annual IEEE Symposium on Logic in Computer Science, pp. 342–351. IEEE Computer Society (2010)

    Google Scholar 

  3. Hennessy, M.: Exploring probabilistic bisimulations, part I. Form. Asp. Comput. 24(4–6), 749–768 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  4. Eisentraut, C., Hermanns, H., Krämer, J., Turrini, A., Zhang, L.: Deciding bisimilarities on Distributions. Proceedings of the 10th International Conference on Quantitative Evaluation of Systems, Lecture Notes in Computer Science, vol. 8054, pp. 72–88. Springer (2013)

    Google Scholar 

  5. Cattani, S., Segala, R.: Decision Algorithms for Probabilistic Bisimulation. Proceedings of the 13th International Conference on Concurrency Theory, Lecture Notes in Computer Science, vol. 2421, pp. 371–385. Springer (2002)

    Google Scholar 

  6. Rathke, J., Sobocinski, P.: Making the unobservable, unobservable. Electron. Notes Comput. Sci. 229(3), 131–144 (2009)

    Article  MathSciNet  Google Scholar 

  7. Honda, K., Yoshida, N.: On reduction-based process semantics. Theoret. Comput. Sci. 151(2), 437–486 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  8. Jeffrey, A., Rathke, J.: Contextual equivalence for higher-order pi-calculus revisited. Log. Methods Comput. Sci. 1(1:4) (2005)

    Google Scholar 

  9. Sangiorgi, D., Kobayashi, N., Sumii, E.: Environmental bisimulations for higher-order languages. Proceedings of the 22nd IEEE Symposium on Logic in Computer Science, pp. 293–302. IEEE Computer Society (2007)

    Google Scholar 

  10. Rathke, J., Sobocinski, P.: Deriving structural labelled transitions for mobile ambients. Proceedings of the 19th International Conference on Concurrency Theory, Lecture Notes in Computer Science, vol. 5201, pp. 462–476. Springer (2008)

    Google Scholar 

  11. Fournet, C., Gonthier, G.: A hierarchy of equivalences for asynchronous calculi. J. Log. Algebraic Program. 63(1), 131–173 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Sangiorgi, D., Walker, D.: The π-Calculus: a Theory of Mobile Processes. Cambridge University Press, Cambridge (2001)

    Google Scholar 

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Correspondence to Yuxin Deng .

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© 2014 Shanghai Jiao Tong University Press, Shanghai and Springer-Verlag Berlin Heidelberg

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Deng, Y. (2014). Weak Probabilistic Bisimulation. In: Semantics of Probabilistic Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45198-4_7

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  • DOI: https://doi.org/10.1007/978-3-662-45198-4_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45197-7

  • Online ISBN: 978-3-662-45198-4

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