Trace and Testing Metrics on Nondeterministic Probabilistic Processes

The combination of nondeterminism and probability in concurrent systems lead to the development of several interpretations of process behavior. If we restrict our attention to linear properties only, we can identify three main approaches to trace and testing semantics: the trace distributions, the t...

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Main Author: Valentina Castiglioni
Format: Article
Language:English
Published: Open Publishing Association 2018-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1808.08649v1
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spelling doaj-2e390125ebff45cd969c2be6072ef7a72020-11-25T02:18:59ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802018-08-01276Proc. EXPRESS/SOS 2018193610.4204/EPTCS.276.4:6Trace and Testing Metrics on Nondeterministic Probabilistic ProcessesValentina Castiglioni0 INRIA Saclay - Ile de France The combination of nondeterminism and probability in concurrent systems lead to the development of several interpretations of process behavior. If we restrict our attention to linear properties only, we can identify three main approaches to trace and testing semantics: the trace distributions, the trace-by-trace and the extremal probabilities approaches. In this paper, we propose novel notions of behavioral metrics that are based on the three classic approaches above, and that can be used to measure the disparities in the linear behavior of processes wrt trace and testing semantics. We study the properties of these metrics, like non-expansiveness, and we compare their expressive powers.http://arxiv.org/pdf/1808.08649v1
collection DOAJ
language English
format Article
sources DOAJ
author Valentina Castiglioni
spellingShingle Valentina Castiglioni
Trace and Testing Metrics on Nondeterministic Probabilistic Processes
Electronic Proceedings in Theoretical Computer Science
author_facet Valentina Castiglioni
author_sort Valentina Castiglioni
title Trace and Testing Metrics on Nondeterministic Probabilistic Processes
title_short Trace and Testing Metrics on Nondeterministic Probabilistic Processes
title_full Trace and Testing Metrics on Nondeterministic Probabilistic Processes
title_fullStr Trace and Testing Metrics on Nondeterministic Probabilistic Processes
title_full_unstemmed Trace and Testing Metrics on Nondeterministic Probabilistic Processes
title_sort trace and testing metrics on nondeterministic probabilistic processes
publisher Open Publishing Association
series Electronic Proceedings in Theoretical Computer Science
issn 2075-2180
publishDate 2018-08-01
description The combination of nondeterminism and probability in concurrent systems lead to the development of several interpretations of process behavior. If we restrict our attention to linear properties only, we can identify three main approaches to trace and testing semantics: the trace distributions, the trace-by-trace and the extremal probabilities approaches. In this paper, we propose novel notions of behavioral metrics that are based on the three classic approaches above, and that can be used to measure the disparities in the linear behavior of processes wrt trace and testing semantics. We study the properties of these metrics, like non-expansiveness, and we compare their expressive powers.
url http://arxiv.org/pdf/1808.08649v1
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