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European Workshop on Performance Engineering

EPEW 2019: Computer Performance Engineering pp 16–32Cite as

Coherent Resolutions of Nondeterminism

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12039))

Abstract

We study the impact that different ways of resolving nondeterminism within probabilistic automata have on the properties of probabilistic behavioral equivalences. Firstly, we provide a uniform definition of structure-preserving and structure-modifying resolutions of nondeterminism, respectively generated by different families of schedulers. Secondly, we exhibit a number of anomalies arising from the excessive power of the various families of schedulers, which affect the discriminating power, the compositionality, and the backward compatibility of probabilistic trace equivalence. Thirdly, we propose to remove those anomalies by enforcing coherency within resolutions of nondeterminism. This ensures that a scheduler cannot select different continuations in equivalent states of an automaton, so that also the states to which they correspond in any resolution of the automaton have equivalent continuations.

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Acknowledgement

We would like to thank Valeria Vignudelli for pointing out the property violation illustrated in Fig. 4 and Rob van Glabbeek for the valuable discussions on interpolating and randomized schedulers.

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Authors and Affiliations

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

    Marco Bernardo

Authors
  1. Marco Bernardo
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Correspondence to Marco Bernardo .

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Editors and Affiliations

  1. Politecnico di Milano, Milano, Italy

    Marco Gribaudo

  2. Università degli Studi della Campania “L. Vanvitelli”, Caserta, Italy

    Mauro Iacono

  3. University of Tsukuba, Tsukuba, Japan

    Tuan Phung-Duc

  4. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia

    Rostislav Razumchik

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Bernardo, M. (2020). Coherent Resolutions of Nondeterminism. In: Gribaudo, M., Iacono, M., Phung-Duc, T., Razumchik, R. (eds) Computer Performance Engineering. EPEW 2019. Lecture Notes in Computer Science(), vol 12039. Springer, Cham. https://doi.org/10.1007/978-3-030-44411-2_2

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  • DOI: https://doi.org/10.1007/978-3-030-44411-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-44410-5

  • Online ISBN: 978-3-030-44411-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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