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Published in:
On the Additive Capacity Problem for Quantitative Information Flow Read chapter Read first chapter

2018 | OriginalPaper | Chapter

HyperPCTL: A Temporal Logic for Probabilistic Hyperproperties

Authors : Erika Ábrahám, Borzoo Bonakdarpour

Published in: Quantitative Evaluation of Systems

Publisher: Springer International Publishing

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Abstract

In this paper, we propose a new temporal logic for expressing and reasoning about probabilistic hyperproperties. Hyperproperties characterize the relation between different independent executions of a system. Probabilistic hyperproperties express quantitative dependencies between such executions. The standard temporal logics for probabilistic systems, i.e., PCTL and PCTL \(^*\) can refer only to a single path at a time and, hence, cannot express many probabilistic hyperproperties of interest. The logic proposed in this paper, HyperPCTL, adds explicit and simultaneous quantification over multiple traces to PCTL. Such quantification allows expressing probabilistic hyperproperties. A model checking algorithm for the proposed logic is also introduced for discrete-time Markov chains.

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Footnotes
1
Noninterference stipulates that input commands from high-privileged users have no effect on the system’s behavior observed by low-privileged observers.
 
2
Observational determinism requires that two executions that start at two low initial states appear deterministic to a low user.
 
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Metadata
Title
HyperPCTL: A Temporal Logic for Probabilistic Hyperproperties
Authors
Erika Ábrahám
Borzoo Bonakdarpour
Copyright Year
2018
Book
Quantitative Evaluation of Systems

Print ISBN: 978-3-319-99153-5

Electronic ISBN: 978-3-319-99154-2

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-99154-2_2

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