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Predicate abstraction for hyperliveness verification.

Raven Beutner1, Bernd Finkbeiner1

  • 1CISPA Helmholtz Center for Information Security, Saarbrücken, Germany.

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Summary
This summary is machine-generated.

This study introduces automated verification for ∀ᵏ∃ˡ-safety properties in infinite-state systems, extending beyond k-safety analysis. The new method enables checking complex temporal hyperproperties, enhancing system verification capabilities.

Keywords:
HyperLTLHyperlivenessHyperpropertiesInfinite-state systemsPredicate abstractionProgram reductionSoftware verificationVerification

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Area of Science:

  • Formal methods
  • Computer science
  • Software verification

Background:

  • Temporal hyperproperties analyze system behaviors across multiple execution traces.
  • Existing verification methods for infinite-state systems are limited, primarily to k-safety properties.
  • Analysis of temporal hyperproperties in infinite-state systems has historically been restricted.

Purpose of the Study:

  • To present an automated method for verifying ∀ᵏ∃ˡ-safety properties in infinite-state systems.
  • To extend the scope of verifiable temporal hyperproperties beyond k-safety.
  • To enable the verification of complex properties like generalized non-interference and program refinement.

Main Methods:

  • The verification method employs strategy-based instantiation for existential trace quantification.
  • A program reduction technique is utilized within the verification process.
  • The method operates within the framework of fixed predicate abstraction.

Main Results:

  • An automated verification approach for ∀ᵏ∃ˡ-safety properties in infinite-state systems is successfully developed.
  • The method effectively handles properties involving combined universal and existential quantification over traces.
  • The approach supports the verification of hyperliveness properties, including generalized non-interference and program refinement.

Conclusions:

  • The presented method significantly advances the automated verification of temporal hyperproperties in infinite-state systems.
  • This work broadens the applicability of formal verification techniques to a wider range of complex system properties.
  • The developed technique provides a foundation for analyzing and ensuring the correctness of advanced system behaviors.