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This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

Systems and Control · Computer Science 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

Temporal logic is an important tool for specifying complex behaviors of systems. It can be used to define properties for verification and monitoring, as well as goals for synthesis tools, allowing users to specify rich missions and tasks.…

Logic in Computer Science · Computer Science 2023-10-16 Gustavo A. Cardona , Kevin Leahy , Makai Mann , Cristian-Ioan Vasile

DatalogMTL is an extension of Datalog with metric temporal operators that has found applications in temporal ontology-based data access and query answering, as well as in stream reasoning. Practical algorithms for DatalogMTL are reliant on…

Databases · Computer Science 2022-09-28 Dingmin Wang , Przemysław Andrzej Wałęga , Bernardo Cuenca Grau

Continuously learning new tasks using high-level ideas or knowledge is a key capability of humans. In this paper, we propose Lifelong reinforcement learning with Sequential linear temporal logic formulas and Reward Machines (LSRM), which…

Artificial Intelligence · Computer Science 2021-11-19 Xuejing Zheng , Chao Yu , Chen Chen , Jianye Hao , Hankz Hankui Zhuo

Machine teaching is an algorithmic framework for teaching a target hypothesis via a sequence of examples or demonstrations. We investigate machine teaching for temporal logic formulas -- a novel and expressive hypothesis class amenable to…

Artificial Intelligence · Computer Science 2020-01-28 Zhe Xu , Yuxin Chen , Ufuk Topcu

We introduce a generic extension of the popular branching-time logic CTL which refines the temporal until and release operators with formal languages. For instance, a language may determine the moments along a path that an until property…

Logic in Computer Science · Computer Science 2015-05-19 Roland Axelsson , Matthew Hague , Stephan Kreutzer , Martin Lange , Markus Latte

Given a formula in a temporal logic such as LTL or MTL, a fundamental problem is the complexity of evaluating the formula on a given finite word. For LTL, the complexity of this task was recently shown to be in NC. In this paper, we present…

Logic in Computer Science · Computer Science 2014-04-29 Daniel Bundala , Joël Ouaknine

In the last years, model checking with interval temporal logics is emerging as a viable alternative to model checking with standard point-based temporal logics, such as LTL, CTL, CTL*, and the like. The behavior of the system is modeled by…

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

There has been a growing interest in extracting formal descriptions of the system behaviors from data. Signal Temporal Logic (STL) is an expressive formal language used to describe spatial-temporal properties with interpretability. This…

Logic in Computer Science · Computer Science 2024-05-16 Danyang Li , Mingyu Cai , Cristian-Ioan Vasile , Roberto Tron

We present a new approach for the design of a synthetic biological circuit whose behaviour is specified in terms of signal temporal logic (STL) formulae. We first show how to characterise with STL formulae the input/output behaviour of…

Logic in Computer Science · Computer Science 2013-06-20 Ezio Bartocci , Luca Bortolussi , Laura Nenzi

Autonomous agents often face the challenge of interpreting uncertain natural language instructions for planning tasks. Representing these instructions as Linear Temporal Logic (LTL) enables planners to synthesize actionable plans. We…

Robotics · Computer Science 2025-09-30 Kumar Manas , Stefan Zwicklbauer , Adrian Paschke

It is known [DemriSchnoebelen02] that both satisfiability and model-checking problems for propositional Linear-time Temporal Logic, LTL, with only a single propositional variable in the language are PSPACE-complete, which coincides with the…

Logic in Computer Science · Computer Science 2018-11-27 Mikhail Rybakov , Dmitry Shkatov

We present a logic that extends CTL (Computation Tree Logic) with operators that express synchronization properties. A property is synchronized in a system if it holds in all paths of a certain length. The new logic is obtained by using the…

Logic in Computer Science · Computer Science 2016-05-25 Krishnendu Chatterjee , Laurent Doyen

Temporal logic is a concise way of specifying complex tasks. But motion planning to achieve temporal logic specifications is difficult, and existing methods struggle to scale to complex specifications and high-dimensional system dynamics.…

Robotics · Computer Science 2023-06-02 Vince Kurtz , Hai Lin

Large language models (LLMs) have demonstrated their effectiveness in multivariate time series classification (MTSC). Effective adaptation of LLMs for MTSC necessitates informative data representations. Existing LLM-based methods directly…

Artificial Intelligence · Computer Science 2025-10-29 Jiahao Wang , Mingyue Cheng , Qingyang Mao , Yitong Zhou , Daoyu Wang , Qi Liu , Feiyang Xu , Xin Li

Most current methods for learning from demonstrations assume that those demonstrations alone are sufficient to learn the underlying task. This is often untrue, especially if extra safety specifications exist which were not present in the…

Machine Learning · Computer Science 2020-05-26 Craig Innes , Subramanian Ramamoorthy

We introduce and investigate a number of fragments of propo- sitional temporal logic LTL over the flow of time (Z, <). The fragments are defined in terms of the available temporal operators and the structure of the clausal normal form of…

Logic in Computer Science · Computer Science 2013-10-11 A. Artale , R. Kontchakov , V. Ryzhikov , M. Zakharyaschev

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

Machine Learning · Computer Science 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

Signal Temporal Logic (STL) is widely used to specify timed and safety-critical tasks for cyber-physical systems, but writing STL formulas directly is difficult for non-expert users. Natural language (NL) provides a convenient interface,…

Computation and Language · Computer Science 2026-03-31 Kosei Fushimi , Kazunobu Serizawa , Junya Ikemoto , Kazumune Hashimoto
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