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Real-time cyber-physical systems depend on deterministic task execution to guarantee safety and correctness. Unfortunately, this determinism can unintentionally expose timing information that enables adversaries to infer task execution…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Arkaprava Sain , Sunandan Adhikary , Soumyajit Dey

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

We present an approach for verifying systems at runtime. Our approach targets distributed systems whose components communicate with monitors over unreliable channels, where messages can be delayed, reordered, or even lost. Furthermore, our…

Logic in Computer Science · Computer Science 2019-09-26 David Basin , Felix Klaedtke , Eugen Zalinescu

Timed automata are a widely used formalism for specifying the discrete-state/continuous-time behavior of time-critical reactive systems. For the fundamental verification problem of comparing two timed automata, it has been shown that timed…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Alexander Lieb , Hendrik Göttmann , Lars Luthmann , Malte Lochau , Andy Schürr

In high-stakes systems such as healthcare, it is critical to understand the causal reasons behind unusual events, such as sudden changes in patient's health. Unveiling the causal reasons helps with quick diagnoses and precise treatment…

Machine Learning · Computer Science 2024-03-20 Yiling Kuang , Chao Yang , Yang Yang , Shuang Li

Engineering processes for safety-critical systems describe the steps and sequence that guide engineers from refining user requirements into executable code, as well as producing the artifacts, traces, and evidence that the resulting system…

Software Engineering · Computer Science 2023-12-21 Cosmina-Cristina Ratiu , Christoph Mayr-Dorn , Alexander Egyed

This paper presents the first model-checking algorithm for an expressive modal mu-calculus over timed automata, $L^{\mathit{rel}, \mathit{af}}_{\nu,\mu}$, and reports performance results for an implementation. This mu-calculus contains…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Peter Fontana , Rance Cleaveland

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

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

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

LLMs can be unpredictable, as even slight alterations to the prompt can cause the output to change in unexpected ways. Thus, the ability of models to accurately explain their behavior is critical, especially in high-stakes settings. One…

Computation and Language · Computer Science 2025-11-26 Marvin Limpijankit , Yanda Chen , Melanie Subbiah , Nicholas Deas , Kathleen McKeown

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

Logic in Computer Science · Computer Science 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

We consider here Linear Temporal Logic (LTL) formulas interpreted over \emph{finite} traces. We denote this logic by LTLf. The existing approach for LTLf satisfiability checking is based on a reduction to standard LTL satisfiability…

Logic in Computer Science · Computer Science 2014-03-10 Jianwen Li , Lijun Zhang , Geguang Pu , Moshe Y. Vardi , Jifeng He

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

Proving program termination is key to guaranteeing absence of undesirable behaviour, such as hanging programs and even security vulnerabilities such as denial-of-service attacks. To make termination checks scale to large systems,…

Software Engineering · Computer Science 2015-05-19 Hong-Yi Chen , Cristina David , Daniel Kroening , Peter Schrammel , Björn Wachter

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

In this paper we study monitoring of real-time systems with respect to properties expressed either in Metric Interval Temporal Logic or as Timed B\"uchi Automata. We offer efficient symbolic online monitoring algorithms in a number of…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Thomas Møller Grosen , Sean Kauffman , Kim Guldstrand Larsen , Martin Zimmermann

Model checking and automated theorem proving are two pillars of formal methods. This paper investigates model checking from an automated theorem proving perspective, aiming at combining the expressiveness of automated theorem proving and…

Logic in Computer Science · Computer Science 2017-10-03 Ying Jiang , Jian Liu , Gilles Dowek , Kailiang Ji

Runtime monitoring of autonomous systems traditionally relies on mapping continuous sensor observations to discrete logical propositions defined over low-dimensional state variables. This abstraction breaks down in perception-driven…

Machine Learning · Computer Science 2026-05-15 Parv Kapoor , Abigail Hammer , Ashish Kapoor , Karen Leung , Eunsuk Kang

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2015-10-27 Samuel Bucheli