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2020 | OriginalPaper | Chapter

Coherent Resolutions of Nondeterminism

Author : Marco Bernardo

Published in: Computer Performance Engineering

Publisher: Springer International Publishing

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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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Title: Coherent Resolutions of Nondeterminism
Author: Marco Bernardo
Publisher: Springer International Publishing
Book: Computer Performance Engineering
Print ISBN: 978-3-030-44410-5

Electronic ISBN: 978-3-030-44411-2

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-44411-2_2

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