Verification of Initial-State Opacity for Switched Systems: A Compositional Approach

@article{Liu2020VerificationOI,
  title={Verification of Initial-State Opacity for Switched Systems: A Compositional Approach},
  author={Siyuan Liu and Abdalla Swikir and Majid Zamani},
  journal={ArXiv},
  year={2020},
  volume={abs/2006.16661}
}
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Compositional Verification of Initial-State Opacity for Switched Systems
TLDR
This work proposes a compositional framework for the verification of approximate initial-state opacity for networks of discrete-time switched systems and shows that such InitSOPSFs can be obtained compositionally by assuming some small-gain type conditions and composing so-called local InitSopSFs constructed for each subsystem separately.
Secure-by-Construction Synthesis of Cyber-Physical Systems

References

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Compositional Verification of Initial-State Opacity for Switched Systems
TLDR
This work proposes a compositional framework for the verification of approximate initial-state opacity for networks of discrete-time switched systems and shows that such InitSOPSFs can be obtained compositionally by assuming some small-gain type conditions and composing so-called local InitSopSFs constructed for each subsystem separately.
Verification of initial-state opacity in security applications of discrete event systems
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TLDR
A new simulation-type relation is proposed, called approximate opacity-preserving simulation relation, which characterizes how close two systems are in terms of the satisfaction of approximate opacity, which allows us to verify approximate opacity for large-scale, or even infinite, systems using their abstractions.
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Although the opacity verification problem for infinite NTSs is generally undecidable, if one can find such an opacity-preserving relation from an infinite NTS to a finite one, the (lack of) opacity of the infinite NTS can be easily verified over the finiteOne, which is decidable.
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TLDR
This paper analyzes the verification of K-step opacity in discrete event systems that are modeled as (possibly non-deterministic) finite automata with partial observation on their transitions and establishes that the verification is NP-hard.
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