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Alternative Characterizations of Probabilistic Trace Equivalences on Coherent Resolutions of Nondeterminism

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Quantitative Evaluation of Systems (QEST 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12289))

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Abstract

For nondeterministic and probabilistic processes, the validity of some desirable properties of probabilistic trace semantics depends both on the class of schedulers used to resolve nondeterminism and on the capability of suitably limiting the power of the considered schedulers. Inclusion of probabilistic bisimilarity, compositionality with respect to typical process operators, and backward compatibility with trace semantics over fully nondeterministic or fully probabilistic processes, can all be achieved by restricting to coherent resolutions of nondeterminism. Here we provide alternative characterizations of probabilistic trace post-equivalence and pre-equivalence in the case of coherent resolutions. The characterization of the former is based on fully coherent trace distributions, whereas the characterization of the latter relies on coherent weighted trace sets.

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Authors and Affiliations

  1. Dipartimento di Scienze Pure e Applicate, Università di Urbino, Urbino, Italy

    Marco Bernardo

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  1. Marco Bernardo
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Correspondence to Marco Bernardo .

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Editors and Affiliations

  1. Politecnico di Milano, Milan, Italy

    Marco Gribaudo

  2. Chinese Academy of Sciences, Beijing, China

    David N. Jansen

  3. University of Münster, Münster, Germany

    Anne Remke

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Bernardo, M. (2020). Alternative Characterizations of Probabilistic Trace Equivalences on Coherent Resolutions of Nondeterminism. In: Gribaudo, M., Jansen, D.N., Remke, A. (eds) Quantitative Evaluation of Systems. QEST 2020. Lecture Notes in Computer Science(), vol 12289. Springer, Cham. https://doi.org/10.1007/978-3-030-59854-9_5

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  • DOI: https://doi.org/10.1007/978-3-030-59854-9_5

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