We study the problem of formalizing and checking probabilistic hyperproperties for models that allow nondeterminism in actions. We extend the temporal logic HyperPCTL, which has been previously introduced for discrete-time Markov chains, to enable the specification of hyperproperties also for Markov decision processes. We generalize HyperPCTL by allowing explicit and simultaneous quantification over schedulers and probabilistic computation trees and show that it can express important quantitative requirements in security and privacy. We show that HyperPCTL model checking over MDPs is in general undecidable for quantification over probabilistic schedulers with memory, but restricting the domain to memoryless non-probabilistic schedulers turns the model checking problem decidable. Subsequently, we propose an SMT-based encoding for model checking this language and evaluate its performance.
CITATION STYLE
Ábrahám, E., Bartocci, E., Bonakdarpour, B., & Dobe, O. (2020). Probabilistic Hyperproperties with Nondeterminism. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12302 LNCS, pp. 518–534). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-59152-6_29
Mendeley helps you to discover research relevant for your work.