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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

Large Language Models (LLMs) have achieved impressive reasoning abilities, but struggle with temporal understanding, especially when questions involve multiple entities, compound operators, and evolving event sequences. Temporal Knowledge…

Computation and Language · Computer Science 2026-02-24 Xingyu Tan , Xiaoyang Wang , Qing Liu , Xiwei Xu , Xin Yuan , Liming Zhu , Wenjie Zhang

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

Temporal reasoning over tabular data presents substantial challenges for large language models (LLMs), as evidenced by recent research. In this study, we conduct a comprehensive analysis of temporal datasets to pinpoint the specific…

Computation and Language · Computer Science 2024-07-24 Irwin Deng , Kushagra Dixit , Vivek Gupta , Dan Roth

We present a different approach to developing a concept of time for specifying temporality in the conceptual modeling of software and database systems. In the database field, various proposals and products address temporal data. The…

Software Engineering · Computer Science 2021-02-02 Sabah Al-Fedaghi

CTL is the dominant temporal specification language in practice mainly due to the fact that it admits model checking in linear time. Logic programming and the database query language Datalog are often used as an implementation platform for…

Logic in Computer Science · Computer Science 2016-08-31 Foto Afrati , Theodore Andronikos , Vassia Pavlaki , Eugenie Foustoucos , Irene Guessarian

In recent years, there has been an increasing interest in extending traditional stream processing engines with logical, rule-based, reasoning capabilities. This poses significant theoretical and practical challenges since rules can derive…

Artificial Intelligence · Computer Science 2018-11-16 Alessandro Ronca , Mark Kaminski , Bernardo Cuenca Grau , Boris Motik , Ian Horrocks

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

Multi-modal language model has made advanced progress in vision and audio, but still faces significant challenges in dealing with complex reasoning tasks in the time series domain. The reasons are twofold. First, labels for multi-modal time…

Machine Learning · Computer Science 2025-03-10 Haochuan Zhang , Chunhua Yang , Jie Han , Liyang Qin , Xiaoli Wang

The temporal aspect is a significant dimension of our reality. We notice the challenge that large language models (LLMs) face when engaging in temporal reasoning. Our preliminary experiments show that methods involving the generation of…

Computation and Language · Computer Science 2024-11-05 Xingxuan Li , Liying Cheng , Qingyu Tan , Hwee Tou Ng , Shafiq Joty , Lidong Bing

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

Temporal reasoning in dynamic, data-intensive environments increasingly demands expressive yet tractable logical frameworks. Traditional approaches often rely on negation to express absence or contradiction. In such contexts,…

Logic in Computer Science · Computer Science 2025-09-15 Mathijs van Noort , Femke Ongenae , Pieter Bonte

Quantified CTL (QCTL) is a well-studied temporal logic that extends CTL with quantification over atomic propositions. It has recently come to the fore as a powerful intermediary framework to study logics for strategic reasoning. We extend…

Logic in Computer Science · Computer Science 2018-09-05 Raphaël Berthon , Bastien Maubert , Aniello Murano

Spatio-temporal data mining plays a pivotal role in informed decision making across diverse domains. However, existing models are often restricted to narrow tasks, lacking the capacity for multi-task inference and complex long-form…

Computation and Language · Computer Science 2025-06-26 Kethmi Hirushini Hettige , Jiahao Ji , Cheng Long , Shili Xiang , Gao Cong , Jingyuan Wang

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland

Logical reasoning with large language models (LLMs) has received growing attention. One mainstream approach translates natural language into formal logic and then applies symbolic solvers for deduction. While effective in many tasks, these…

Computation and Language · Computer Science 2026-02-02 Qingchuan Li , Jiatong Li , Zirui Liu , Mingyue Cheng , Yuting Zeng , Qi Liu , Tongxuan Liu

We show that metric temporal logic can be viewed as linear time-invariant filtering, by interpreting addition, multiplication, and their neutral elements, over the (max,min,0,1) idempotent dioid. Moreover, by interpreting these operators…

Logic in Computer Science · Computer Science 2016-02-10 Alena Rodionova , Ezio Bartocci , Dejan Nickovic , Radu Grosu

Several applications demand the timely detection of critical situations, such as threats to safety and transparency, over high-velocity streams of symbolic events. This demand has motivated the development of (i) event specification…

Artificial Intelligence · Computer Science 2026-05-05 Periklis Mantenoglou

Recent advances in Machine Learning (ML) have produced models that extract structured information from complex data. However, a significant challenge lies in translating these perceptual or extractive outputs into actionable and explainable…

Machine Learning · Computer Science 2026-01-08 Dyuman Aditya , Colton Payne , Mario Leiva , Paulo Shakarian