Papers › Introducing Asynchronicity to Probabilistic Hyperproperties

Introducing Asynchronicity to Probabilistic Hyperproperties

11 Jul 2023arXiv:2307.05282links table onlyarchive 2025-07-28

Lina Gerlach, Oyendrila Dobe, Erika Ábrahám, Ezio Bartocci, Borzoo Bonakdarpour

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Probabilistic hyperproperties express probabilistic relations between different executions of systems with uncertain behavior. HyperPCTL allows to formalize such properties, where quantification over probabilistic schedulers resolves potential non-determinism. In this paper we propose an extension named AHyperPCTL to additionally introduce asynchronicity between the observed executions by quantifying over stutter-schedulers, which may randomly decide to delay scheduler decisions by idling. To our knowledge, this is the first asynchronous extension of a probabilistic branching-time hyperlogic. We show that AHyperPCTL can express interesting information-flow security policies, and propose a model checking algorithm for a decidable fragment.

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