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arXiv · 2307.05282

Introducing Asynchronicity to Probabilistic Hyperproperties

Lina Gerlach·Oyendrila Dobe·Erika Ábrahám·Ezio Bartocci·Borzoo Bonakdarpour
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Abstract

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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Lina Gerlach, Oyendrila Dobe, Erika Ábrahám, Ezio Bartocci, Borzoo Bonakdarpour. 2023-07-11. Introducing Asynchronicity to Probabilistic Hyperproperties. https://arxiv.org/abs/2307.05282

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