Model checking of hyperproperties for high-level relational models

Many properties related to security or concurrency must be encoded as so-called hyperproperties, temporal properties that allow reasoning about multiple traces of a system. However, despite recent advances on model checking hyperproperties, there is still a lack of higher-level specification languages that can effectively support software engineering practitioners in verifying properties of this class at early stages of system design. Alloy is a lightweight formal method with a high-level specification language that is supported by automated analysis procedures, making it particularly well-suited for the verification of design models at early development stages. It does not natively support, however, the verification of hyperproperties. This work proposes HyperPardinus , a new model finding procedure that extends Pardinus – the temporal logic backend of the Alloy language – to automatically verify hyperproperties over relational models by relying on existing low-level model checkers for hyperproperties. It then conservatively extends Alloy to support the specification and automatic verification of hyperproperties over design models, as well as the visualization of (counter-)examples at a higher-level of abstraction. Evaluation shows that our approach enables modeling and finding (counter-)examples for complex hyperproperties with alternating quantifiers, making it feasible to address relevant scenarios from the state of the art.

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Publication Details

Journal
ACM Transactions on Software Engineering and Methodology
Published
2026-09-09
DOI
https://doi.org/10.1145/3845615
Primary Topic
Formal Methods in Verification
Type
article
Field-Weighted Citation Impact
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article

Model checking of hyperproperties for high-level relational models

Nuno Macedo, Hugo Pacheco
ACM Transactions on Software Engineering and Methodology
Formal Methods in Verification
article

Model checking of hyperproperties for high-level relational models

Nuno Macedo, Hugo Pacheco
article en

Abstract

Many properties related to security or concurrency must be encoded as so-called hyperproperties, temporal properties that allow reasoning about multiple traces of a system. However, despite recent advances on model checking hyperproperties, there is still a lack of higher-level specification languages that can effectively support software engineering practitioners in verifying properties of this class at early stages of system design. Alloy is a lightweight formal method with a high-level specification language that is supported by automated analysis procedures, making it particularly well-suited for the verification of design models at early development stages. It does not natively support, however, the verification of hyperproperties. This work proposes HyperPardinus , a new model finding procedure that extends Pardinus – the temporal logic backend of the Alloy language – to automatically verify hyperproperties over relational models by relying on existing low-level model checkers for hyperproperties. It then conservatively extends Alloy to support the specification and automatic verification of hyperproperties over design models, as well as the visualization of (counter-)examples at a higher-level of abstraction. Evaluation shows that our approach enables modeling and finding (counter-)examples for complex hyperproperties with alternating quantifiers, making it feasible to address relevant scenarios from the state of the art.

ACM Transactions on Software Engineering and Methodology
INESC TEC (PT), University of Minho (PT)
Openalex Percentile: Top 95%
Formal Methods in Verification
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