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Linear Temporal Logic (LTL) is a formal way of specifying complex objectives for planning problems modeled as Markov Decision Processes (MDPs). The planning problem aims to find the optimal policy that maximizes the satisfaction probability…

Robotics · Computer Science 2024-08-13 Zetong Xuan , Yu Wang

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Temporal logic based synthesis approaches are often used to find trajectories that are correct-by-construction for tasks in systems with complex behavior. Some examples of such tasks include synchronization for multi-agent hybrid systems,…

Logic in Computer Science · Computer Science 2017-09-22 Sumanth Dathathri , Richard M. Murray

Control systems that satisfy temporal logic specifications have become increasingly popular due to their applicability to robotic systems. Existing control methods, however, are computationally demanding, especially when the problem size…

Systems and Control · Computer Science 2019-01-16 Lars Lindemann , Dimos V. Dimarogonas

Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

Signal Temporal Logic (STL) is expressive formal language that specifies spatio-temporal requirements in robotics. Its quantitative robustness semantics can be easily integrated with optimization-based control frameworks. However, STL…

Robotics · Computer Science 2026-03-10 Tianhao Wu , Yiwei Lyu

In this paper, we propose a stochastic scheduling strategy for estimating the states of N discrete-time linear time invariant (DTLTI) dynamic systems, where only one system can be observed by the sensor at each time instant due to practical…

Optimization and Control · Mathematics 2015-06-23 Chong Li , Nicola Elia

This paper addresses the problem of learning optimal policies for satisfying signal temporal logic (STL) specifications by agents with unknown stochastic dynamics. The system is modeled as a Markov decision process, in which the states…

Systems and Control · Computer Science 2016-09-26 Derya Aksaray , Austin Jones , Zhaodan Kong , Mac Schwager , Calin Belta

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

We propose decentralized primal-dual methods for cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the…

Optimization and Control · Mathematics 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

Many real-world large-scale regression problems can be formulated as Multi-task Learning (MTL) problems with a massive number of tasks, as in retail and transportation domains. However, existing MTL methods still fail to offer both the…

Machine Learning · Computer Science 2018-11-15 Xiao He , Francesco Alesiani , Ammar Shaker

We investigate the task and motion planning problem for Signal Temporal Logic (STL) specifications in robotics. Existing STL methods rely on pre-defined maps or mobility representations, which are ineffective in unstructured real-world…

Robotics · Computer Science 2026-03-03 Bowen Ye , Junyue Huang , Yang Liu , Xiaozhen Qiao , Xiang Yin

Training a team to complete a complex task via multi-agent reinforcement learning can be difficult due to challenges such as policy search in a large joint policy space, and non-stationarity caused by mutually adapting agents. To facilitate…

Multiagent Systems · Computer Science 2024-02-16 Elliot Fosong , Arrasy Rahman , Ignacio Carlucho , Stefano V. Albrecht

Nowadays, Large Language Models (LLMs) have been gradually employed to solve complex tasks. To face the challenge, task decomposition has become an effective way, which proposes to divide a complex task into multiple simpler subtasks and…

Computation and Language · Computer Science 2025-04-14 Yiliu Sun , Yanfang Zhang , Zicheng Zhao , Sheng Wan , Dacheng Tao , Chen Gong

In our previous work [1], a divide-and-conquer approach was proposed for cooperative tasking among multi-agent systems. The basic idea is to decompose a requested global specification into subtasks for individual agents such that the…

Systems and Control · Computer Science 2015-03-17 Mohammad Karimadini , Hai Lin

Continuous representations of logic formulae allow us to integrate symbolic knowledge into data-driven learning algorithms. If such embeddings are semantically consistent, i.e. if similar specifications are mapped into nearby vectors, they…

Computation and Language · Computer Science 2025-09-17 Sara Candussio , Gaia Saveri , Gabriele Sarti , Luca Bortolussi

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

This work studies the planning problem for robotic systems under both quantifiable and unquantifiable uncertainty. The objective is to enable the robotic systems to optimally fulfill high-level tasks specified by Linear Temporal Logic (LTL)…

Robotics · Computer Science 2025-02-28 Pian Yu , Yong Li , David Parker , Marta Kwiatkowska

Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

Signal temporal logic (STL) is a powerful tool for describing complex behaviors for dynamical systems. Among many approaches, the control problem for systems under STL task constraints is well suited for learning-based solutions, because…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Peter Varnai , Dimos V. Dimarogonas
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