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We introduce the Learning Hyperplane Tree (LHT), a novel oblique decision tree model designed for expressive and interpretable classification. LHT fundamentally distinguishes itself through a non-iterative, statistically-driven approach to…

Machine Learning · Computer Science 2025-05-08 Hongyi Li , Jun Xu , William Ward Armstrong

Information security properties of reactive systems like non-interference often require relating different executions of the system to each other and following them simultaneously. Such hyperproperties can also be useful in other contexts,…

Logic in Computer Science · Computer Science 2020-07-20 Jens Oliver Gutsfeld , Markus Müller-Olm , Christoph Ohrem

A hyperproperty relates executions of a program and is used to formalize security objectives such as confidentiality, non-interference, privacy, and anonymity. Formally, a hyperproperty is a collection of allowable sets of executions. A…

Logic in Computer Science · Computer Science 2023-01-30 Ali Bajwa , Minjian Zhang , Rohit Chadha , Mahesh Viswanathan

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

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,…

Software Engineering · Computer Science 2026-05-11 Nuno Macedo , Hugo Pacheco

A specification given as a formula in linear temporal logic (LTL) defines a system by its set of traces. However, certain features such as information flow security constraints are rather modeled as so-called hyperproperties, which are sets…

Logic in Computer Science · Computer Science 2020-04-28 Martin Lück

Many types of attacks on confidentiality stem from the nondeterministic nature of the environment that computer programs operate in (e.g., schedulers and asynchronous communication channels). In this paper, we focus on verification of…

Logic in Computer Science · Computer Science 2023-01-27 Tzu-Han Hsu , Borzoo Bonakdarpour , Bernd Finkbeiner , César Sánchez

We study the complexity of the model checking problem, for fixed model A, over certain fragments L of first-order logic. These are sometimes known as the expression complexities of L. We obtain various complexity classification theorems for…

Logic in Computer Science · Computer Science 2007-05-23 Barnaby Martin

The model checking problem for CTL is known to be P-complete (Clarke, Emerson, and Sistla (1986), see Schnoebelen (2002)). We consider fragments of CTL obtained by restricting the use of temporal modalities or the use of…

Logic in Computer Science · Computer Science 2015-07-01 Olaf Beyersdorff , Arne Meier , Martin Mundhenk , Thomas Schneider , Michael Thomas , Heribert Vollmer

We develop team semantics for Linear Temporal Logic (LTL) to express hyperproperties, which have recently been identified as a key concept in the verification of information flow properties. Conceptually, we consider an asynchronous and a…

Logic in Computer Science · Computer Science 2018-06-26 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

We systematically investigate the complexity of model checking the existential positive fragment of first-order logic. In particular, for a set of existential positive sentences, we consider model checking where the sentence is restricted…

Logic in Computer Science · Computer Science 2015-03-20 Hubie Chen

We study the model-checking problem for first- and monadic second-order logic on finite relational structures. The problem of verifying whether a formula of these logics is true on a given structure is considered intractable in general, but…

Among the approximation methods for the verification of counter systems, one of them consists in model-checking their flat unfoldings. Unfortunately, the complexity characterization of model-checking problems for such operational models is…

Logic in Computer Science · Computer Science 2013-04-24 Stéphane Demri , Amit Kumar Dhar , Arnaud Sangnier

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 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

In this paper, we investigate property verification problems in partially-observed discrete-event systems (DES). Particularly, we are interested in verifying observational properties that are related to the information-flow of the system.…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Jianing Zhao , Xiang Yin , Shaoyuan Li

In this paper we deal with verification of safety properties of parameterized systems with a tree topology. The verification problem is translated to a purely logical problem of finding a finite countermodel for a first-order formula, which…

Logic in Computer Science · Computer Science 2011-07-27 Alexei Lisitsa

Model checking is a powerful method widely explored in formal verification. Given a model of a system, e.g., a Kripke structure, and a formula specifying its expected behaviour, one can verify whether the system meets the behaviour by…

Logic in Computer Science · Computer Science 2019-02-07 A. Molinari , A. Montanari , A. Murano , G. Perelli , A. Peron

Bounded model checking (BMC) is an effective technique for hunting bugs by incrementally exploring the state space of a system. To reason about infinite traces through a finite structure and to ultimately obtain completeness, BMC…

Logic in Computer Science · Computer Science 2023-01-31 Tzu-Han Hsu , César Sánchez , Sarai Sheinvald , Borzoo Bonakdarpour

Model checking allows one to automatically verify a specification of the expected properties of a system against a formal model of its behaviour (generally, a Kripke structure). Point-based temporal logics, such as LTL, CTL, and CTL*, that…

Logic in Computer Science · Computer Science 2019-02-07 Alberto Molinari , Angelo Montanari , Adriano Peron