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Hyperproperties are properties that refer to multiple computation traces. This includes many information-flow security policies, such as observational determinism, (generalized) noninterference, and noninference, and other system properties…

Logic in Computer Science · Computer Science 2019-03-28 Bernd Finkbeiner , Christopher Hahn , Tobias Hans

Two new logics for verification of hyperproperties are proposed. Hyperproperties characterize security policies, such as noninterference, as a property of sets of computation paths. Standard temporal logics such as LTL, CTL, and CTL* can…

Logic in Computer Science · Computer Science 2014-01-22 Michael R. Clarkson , Bernd Finkbeiner , Masoud Koleini , Kristopher K. Micinski , Markus N. Rabe , César Sánchez

Petri nets are a modeling formalism capable of describing complex distributed systems and there exists a large number of both academic and industrial tools that enable automatic verification of model properties. Typical questions include…

Logic in Computer Science · Computer Science 2026-01-12 Bruno Maria René Gonzalez , Peter Gjøl Jensen , Stefan Schmid , Jiří Srba , Martin Zimmermann

We investigate the logical foundations of hyperproperties. Hyperproperties generalize trace properties, which are sets of traces, to sets of sets of traces. The most prominent application of hyperproperties is information flow security:…

Logic in Computer Science · Computer Science 2017-01-10 Bernd Finkbeiner , Martin Zimmermann

Hyperproperties are properties that relate multiple execution traces. Previous work on monitoring hyperproperties focused on synchronous hyperproperties, usually specified in HyperLTL. When monitoring synchronous hyperproperties, all traces…

Programming Languages · Computer Science 2023-08-08 Marek Chalupa , Thomas A. Henzinger

Hyperproperties are properties over sets of traces (or runs) of a system, as opposed to properties of just one trace. They were introduced in 2010 and have been much studied since, in particular via an extension of the temporal logic LTL…

Logic in Computer Science · Computer Science 2024-10-16 Nicolas Waldburger , Chana Weil-Kennedy , Pierre Ganty , César Sánchez

We introduce Hyper$^2$LTL, a temporal logic for the specification of hyperproperties that allows for second-order quantification over sets of traces. Unlike first-order temporal logics for hyperproperties, such as HyperLTL, Hyper$^2$LTL can…

Logic in Computer Science · Computer Science 2023-05-30 Raven Beutner , Bernd Finkbeiner , Hadar Frenkel , Niklas Metzger

We investigate the problem of controller synthesis for hyperproperties specified in the temporal logic HyperLTL. Hyperproperties are system properties that relate multiple execution traces. Hyperproperties can elegantly express…

Logic in Computer Science · Computer Science 2021-01-25 Borzoo Bonakdarpour , Bernd Finkbeiner

In model checking, when a given model fails to satisfy the desired specification, a typical model checker provides a counterexample that illustrates how the violation occurs. In general, there exist many diverse counterexamples that exhibit…

Software Engineering · Computer Science 2021-10-12 Cole Vick , Eunsuk Kang , Stavros Tripakis

Hyperproperties, which generalize trace properties by relating multiple traces, are widely studied in information-flow security. Recently, a number of logics for hyperproperties have been proposed, and there is a need to understand their…

Logic in Computer Science · Computer Science 2020-05-13 Norine Coenen , Bernd Finkbeiner , Christopher Hahn , Jana Hofmann

We study the model checking problem of Hyper2LTL over finite structures. Hyper2LTL is a second-order hyperlogic, that extends the well-studied logic HyperLTL by adding quantification over sets of traces, to express complex hyperproperties…

Logic in Computer Science · Computer Science 2026-01-29 Bernd Finkbeiner , Hadar Frenkel , Tim Rohde

Signal Temporal Logic (STL) has been widely adopted as a specification language for specifying desirable behaviors of hybrid systems. By monitoring a given STL specification, we can detect the executions that violate it, which are often…

Software Engineering · Computer Science 2026-01-21 Zhenya Zhang , Parv Kapoor , Jie An , Eunsuk Kang

HyperLTL is a temporal logic that can express hyperproperties, i.e., properties that relate multiple execution traces of a system. Such properties are becoming increasingly important and naturally occur, e.g., in information-flow control,…

Logic in Computer Science · Computer Science 2023-01-27 Raven Beutner , Bernd Finkbeiner

HyperLTL is an extension of linear-time temporal logic for the specification of hyperproperties, i.e., temporal properties that relate multiple computation traces. HyperLTL can express information flow policies as well as properties like…

Logic in Computer Science · Computer Science 2020-05-18 Norine Coenen , Bernd Finkbeiner , César Sánchez , Leander Tentrup

We study the connection of two problems within the planning and verification community: Conformant planning and model-checking of hyperproperties. Conformant planning is the task of finding a sequential plan that achieves a given objective…

Artificial Intelligence · Computer Science 2025-12-30 Raven Beutner , Bernd Finkbeiner

Hyperproperties, such as non-interference and observational determinism, relate multiple computation traces with each other and are thus not monitorable by tools that consider computations in isolation. We present the monitoring approach…

Logic in Computer Science · Computer Science 2021-01-19 Bernd Finkbeiner , Christopher Hahn , Marvin Stenger , Leander Tentrup

We introduce a functional inductive framework to verify discrete-time dynamical systems against hyperproperties specified as Hyperlinear temporal logic formulae via a notion of HyperCertificates. Unlike linear temporal logic (LTL) formulae…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Vishnu Murali , Amin Falah , Ashutosh Trivedi , Majid Zamani

We study the problem of monitoring at runtime whether a system fulfills a specification defined by a hyperproperty, such as linearizability or variants of non-interference. For this purpose, we introduce specifications with both passive and…

Logic in Computer Science · Computer Science 2025-08-05 Marek Chalupa , Thomas A. Henzinger , Ana Oliveira da Costa

We study the reactive synthesis problem for hyperproperties given as formulas of the temporal logic HyperLTL. Hyperproperties generalize trace properties, i.e., sets of traces, to sets of sets of traces. Typical examples are…

Logic in Computer Science · Computer Science 2019-06-03 Bernd Finkbeiner , Christopher Hahn , Philip Lukert , Marvin Stenger , Leander Tentrup

Hyperproperties are system properties that relate multiple computation paths in a system and are commonly used to, e.g., define information-flow policies. In this paper, we study a novel class of hyperproperties that allow reasoning about…

Logic in Computer Science · Computer Science 2024-02-14 Raven Beutner , Bernd Finkbeiner