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Hyperproperties are system properties that relate multiple execution traces and commonly occur when specifying information-flow and security policies. Logics like HyperLTL utilize explicit quantification over execution traces to express…

Logic in Computer Science · Computer Science 2025-12-30 Raven Beutner , Bernd Finkbeiner

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

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

Hyperproperties are commonly used in computer security to define information-flow policies and other requirements that reason about the relationship between multiple computations. In this paper, we study a novel class of hyperproperties…

Logic in Computer Science · Computer Science 2022-06-01 Raven Beutner , Bernd Finkbeiner

Information-flow policies prescribe which information is available to a given user or subsystem. We study the problem of specifying such properties in reactive systems, which may require dynamic changes in information-flow restrictions…

Logic in Computer Science · Computer Science 2021-05-06 Ezio Bartocci , Thomas Ferrère , Thomas A. Henzinger , Dejan Nickovic , Ana Oliveira da Costa

For over a decade, researchers in formal methods tried to create formalisms that permit natural specification of systems and allow mathematical reasoning about their correctness. The availability of fully-automated reasoning tools enables…

Software Engineering · Computer Science 2016-11-17 D. Paun , M. Chechik

We study satisfiability for HyperLTL with a $\forall^*\exists^*$ quantifier prefix, known to be highly undecidable in general. HyperLTL can express system properties that relate multiple traces (so-called hyperproperties), which are often…

Logic in Computer Science · Computer Science 2022-05-31 Raven Beutner , David Carral , Bernd Finkbeiner , Jana Hofmann , Markus Krötzsch

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

We introduce and investigate a powerful hyper logical framework in the linear-time setting, we call generalized HyperLTL with stuttering and contexts (GHyperLTL_SC for short). GHyperLTL_SC unifies known asynchronous extensions of HyperLTL…

Logic in Computer Science · Computer Science 2024-10-03 Alberto Bombardelli , Laura Bozzelli , César Sánchez , Stefano Tonetta

System requirements related to concepts like information flow, knowledge, and robustness cannot be judged in terms of individual system executions, but rather require an analysis of the relationship between multiple executions. Such…

Logic in Computer Science · Computer Science 2025-01-15 Bernd Finkbeiner

We settle the complexity of satisfiability, finite-state satisfiability, and model-checking for generalized HyperLTL with stuttering and contexts, an expressive logic for the specification of asynchronous hyperproperties. Such properties…

Logic in Computer Science · Computer Science 2025-11-11 Gaëtan Regaud , Martin Zimmermann

Hyperproperties allow one to specify properties of systems that inherently involve not single executions of the system, but several of them at once: observational determinism and non-inference are two examples of such properties used to…

Logic in Computer Science · Computer Science 2025-12-02 Samuel Graepler , Benjamin Monmege , Jean-Marc Talbot

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

Logic in Computer Science · Computer Science 2007-05-23 Alexei Lisitsa , Igor Potapov

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 settle the complexity of satisfiability and model-checking for generalized HyperLTL with stuttering and contexts, an expressive logic for the specification of asynchronous hyperproperties. Such properties cannot be specified in HyperLTL,…

Logic in Computer Science · Computer Science 2025-09-18 Gaëtan Regaud , Martin Zimmermann

Hyperproperties, such as non-interference and observational determinism, relate multiple system executions to each other. They are not expressible in standard temporal logics, like LTL, CTL, and CTL*, and thus cannot be monitored with…

Logic in Computer Science · Computer Science 2018-07-03 Bernd Finkbeiner , Christopher Hahn , Marvin Stenger , Leander Tentrup

Many complex scenarios require the coordination of agents possessing unique points of view and distinct semantic commitments. In response, standpoint logic (SL) was introduced in the context of knowledge integration, allowing one to reason…

Artificial Intelligence · Computer Science 2023-04-28 Nicola Gigante , Lucia {Gomez Alvarez} , Tim S. Lyon

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones

In this paper, we propose a new logic for expressing and reasoning about probabilistic hyperproperties. Hyperproperties characterize the relation between different independent executions of a system. Probabilistic hyperproperties express…

Logic in Computer Science · Computer Science 2018-04-06 Erika Abraham , Borzoo Bonakdarpour