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arXiv · 2508.19110

Exact Persistent Stochastic Non-Interference

Carla Piazza·Riccardo Romanello·Sabina Rossi
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Abstract

Persistent Stochastic Non-Interference (PSNI) was introduced to capture a quantitative security property in stochastic process algebras, ensuring that a high-level process does not influence the observable behaviour of a low-level component, as formalised via lumpable bisimulation. In this work, we revisit PSNI from a performance-oriented perspective and propose a new characterisation based on a refined behavioural relation. We introduce \emph{weak-exact equivalence}, which extends exact equivalence with a relaxed treatment of internal (\(\tau\)) actions, enabling precise control over quantitative observables while accommodating unobservable transitions. Based on this, we define \emph{Exact PSNI} (EPSNI), a variant of PSNI characterised via weak-exact equivalence. We show that EPSNI admits the same bisimulation-based and unwinding-style characterisations as PSNI, and enjoys analogous compositionality properties. These results confirm weak-exact equivalence as a robust foundation for reasoning about non-interference in stochastic systems.

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Carla Piazza, Riccardo Romanello, Sabina Rossi. 2025-08-26. Exact Persistent Stochastic Non-Interference. https://arxiv.org/abs/2508.19110

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