Asynchronous Extensions of HyperLTL

Hyperproperties are a modern specification paradigm that extends trace properties to express properties of sets of traces. Temporal logics for hyperproperties studied in the literature, including HyperLTL, assume a synchronous semantics and enjoy a decidable model checking problem. In this paper, we...

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Published in:Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science pp. 1 - 13
Main Authors: Bozzelli, Laura, Peron, Adriano, Sanchez, Cesar
Format: Conference Proceeding
Language:English
Published: IEEE 29.06.2021
Subjects:
Computational complexity
Computational modeling
Computer science
Merging
Model checking
Security
Semantics
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Abstract Hyperproperties are a modern specification paradigm that extends trace properties to express properties of sets of traces. Temporal logics for hyperproperties studied in the literature, including HyperLTL, assume a synchronous semantics and enjoy a decidable model checking problem. In this paper, we introduce two asynchronous and orthogonal extensions of HyperLTL, namely Stuttering HyperLTL (HyperLTL S ) and Context HyperLTL (HyperLTL C ). Both of these extensions are useful, for instance, to formulate asynchronous variants of information-flow security properties. We show that for these logics, model checking is in general undecidable. On the positive side, for each of them, we identify a fragment with a decidable model checking that subsumes HyperLTL and that can express meaningful asynchronous requirements. Moreover, we provide the exact computational complexity of model checking for these two fragments which, for the HyperLTL S fragment, coincides with that of the strictly less expressive logic HyperLTL.
AbstractList Hyperproperties are a modern specification paradigm that extends trace properties to express properties of sets of traces. Temporal logics for hyperproperties studied in the literature, including HyperLTL, assume a synchronous semantics and enjoy a decidable model checking problem. In this paper, we introduce two asynchronous and orthogonal extensions of HyperLTL, namely Stuttering HyperLTL (HyperLTL S ) and Context HyperLTL (HyperLTL C ). Both of these extensions are useful, for instance, to formulate asynchronous variants of information-flow security properties. We show that for these logics, model checking is in general undecidable. On the positive side, for each of them, we identify a fragment with a decidable model checking that subsumes HyperLTL and that can express meaningful asynchronous requirements. Moreover, we provide the exact computational complexity of model checking for these two fragments which, for the HyperLTL S fragment, coincides with that of the strictly less expressive logic HyperLTL.
Author Sanchez, Cesar
Peron, Adriano
Bozzelli, Laura
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  fullname: Peron, Adriano
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  givenname: Cesar
  surname: Sanchez
  fullname: Sanchez, Cesar
  organization: IMDEA Software Institute,Madrid,Spain
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Snippet Hyperproperties are a modern specification paradigm that extends trace properties to express properties of sets of traces. Temporal logics for hyperproperties...
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SubjectTerms Computational complexity
Computational modeling
Computer science
Merging
Model checking
Security
Semantics
Title Asynchronous Extensions of HyperLTL
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