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Monitoring hyperproperties
Bernd Finkbeiner1, Christopher Hahn1, Marvin Stenger1
1Reactive Systems Group, Saarland University, Saarbrücken, Germany.
Formal Methods in System Design
|December 7, 2019
Summary
Runtime verification of hyperproperties is now possible using HyperLTL, extending linear-time temporal logic (LTL). This research introduces algorithms and optimizations for parallel and sequential models, enhancing scalability and reducing memory usage.
Area of Science:
- Formal methods and verification
- Computer science and systems engineering
- Runtime verification and temporal logic
Background:
- Hyperproperties, such as non-interference, describe relationships between multiple system executions.
- Standard temporal logics (LTL, CTL, CTL*) cannot express hyperproperties, limiting runtime verification.
- Existing runtime verification techniques are insufficient for monitoring complex system behaviors defined by hyperproperties.
Purpose of the Study:
- To extend linear-time temporal logic (LTL) with explicit quantification over traces to express hyperproperties, creating HyperLTL.
- To investigate the runtime verification of HyperLTL formulas across three distinct system models: parallel, unbounded sequential, and bounded sequential.
- To develop efficient monitoring algorithms and optimizations for HyperLTL verification, addressing scalability and memory consumption.
Main Methods:
- Introduced HyperLTL by extending LTL with quantification over traces to formally define and verify hyperproperties.
- Analyzed the monitorability of HyperLTL formulas in parallel, unbounded sequential, and bounded sequential models.
- Developed monitoring algorithms with optimizations, including trace comparison reduction and minimized trace storage for sequential models.
Main Results:
- Demonstrated that monitorability differs between bounded (parallel, bounded sequential) and unbounded sequential models.
- Established that deciding monitorability for alternation-free HyperLTL is coNP-complete, while general HyperLTL monitorability is undecidable.
- Presented optimized algorithms that significantly improve runtime performance and reduce memory footprint for HyperLTL verification.
Conclusions:
- HyperLTL provides a formal framework for expressing and verifying hyperproperties, overcoming limitations of standard temporal logics.
- The developed monitoring algorithms and optimizations enable scalable and efficient runtime verification of complex system properties.
- This work advances runtime verification techniques, offering practical solutions for ensuring system correctness concerning hyperproperties.
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