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Digitization provides a sound and complete method to reduce the problem of verifying whether a real-time system satisfies a property under dense-time semantics to whether the same real-time system satisfies the property over discrete-time.…

Logic in Computer Science · Computer Science 2018-06-26 Janardan Misra

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

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

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

Many complex cyber-physical systems can be modeled as heterogeneous components interacting with each other in real-time. We assume that the correctness of each component can be specified as a requirement satisfied by the output signals…

Machine Learning · Computer Science 2020-05-19 Sara Mohammadinejad , Jyotirmoy V. Deshmukh , Aniruddh G. Puranic

Signal Temporal Logic (STL) is a widely adopted specification language in cyber-physical systems for expressing critical temporal requirements, such as safety conditions and response time. However, STL's expressivity is not sufficient to…

Logic in Computer Science · Computer Science 2025-04-15 Hongkai Chen , Zeyu Zhang , Shouvik Roy , Ezio Bartocci , Scott A. Smolka , Scott D. Stoller , Shan Lin

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

We consider the notion of resilience for cyber-physical systems, that is, the ability of the system to withstand adverse events while maintaining acceptable functionality. We use finite temporal logic to express the requirements on the…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Adnane Saoud , Pushpak Jagtap , Sadegh Soudjani

Temporal logics have been studied as an approach to the specification of hyperproperties, resulting in the conception of "hyperlogics". With a few recent exceptions, the hyperlogics thus far developed can only relate different traces of a…

Logic in Computer Science · Computer Science 2024-02-06 Jens Oliver Gutsfeld , Arne Meier , Christoph Ohrem , Jonni Virtema

We introduce a hybrid spatiotemporal logic for automotive safety applications (HSTL), focused on highway driving. Spatiotemporal logic features specifications about vehicles throughout space and time, while hybrid logic enables precise…

Logic in Computer Science · Computer Science 2026-03-30 Radu-Florin Tulcan , Rose Bohrer , Yoàv Montacute , Kevin Zhou , Yusuke Kawamoto , Ichiro Hasuo

Verification is crucial for effective mathematical reasoning. We present a new temporal consistency method where verifiers iteratively refine their judgments based on the previous assessment. Unlike one-round verification or multi-model…

Computation and Language · Computer Science 2025-12-01 Jiacheng Guo , Yue Wu , Jiahao Qiu , Kaixuan Huang , Xinzhe Juan , Ling Yang , Mengdi Wang

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

In the literature, two powerful temporal logic formalisms have been proposed for expressing information flow security requirements, that in general, go beyond regular properties. One is classic, based on the knowledge modalities of…

Logic in Computer Science · Computer Science 2014-09-10 Laura Bozzelli , Bastien Maubert , Sophie Pinchinat

Industrial cyber-physical systems generate vast amounts of semi-structured time-series data that require careful preprocessing before they can be effectively used for machine learning applications such as fault detection and identification.…

Programming Languages · Computer Science 2026-05-12 Uraz Odyurt , Ömer Sayilir , Mariëlle Stoelinga , Vadim Zaytsev

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

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

This paper studies the synthesis of control policies for an agent that has to satisfy a temporal logic specification in a partially observable environment, in the presence of an adversary. The interaction of the agent (defender) with the…

Systems and Control · Electrical Eng. & Systems 2020-11-09 Bhaskar Ramasubramanian , Luyao Niu , Andrew Clark , Linda Bushnell , Radha Poovendran

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program.…

Logic in Computer Science · Computer Science 2021-03-17 Hammad Ahmad , Jean-Baptiste Jeannin

Many very large-scale systems are networks of cyber-physical systems in which humans and autonomous software agents cooperate. To make the cooperation safe for the humans involved, the systems have to follow protocols with rigid real-time…

Software Engineering · Computer Science 2024-10-21 Heinz Schmidt , Peter Herrmann , Maria Spichkova , James Harland , Ian Peake , Ergys Puka

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi