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We consider the control design of stochastic discrete-time linear multi-agent systems (MASs) under a global signal temporal logic (STL) specification to be satisfied at a predefined probability. By decomposing the dynamics into…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Eleftherios E. Vlahakis , Lars Lindemann , Pantelis Sopasakis , Dimos V. Dimarogonas

We consider the synthesis of control policies for probabilistic systems, modeled by Markov decision processes, operating in partially known environments with temporal logic specifications. The environment is modeled by a set of Markov…

Logic in Computer Science · Computer Science 2012-03-07 Tichakorn Wongpiromsarn , Emilio Frazzoli

We study the problem of refining satisfiability bounds for partially-known stochastic systems against planning specifications defined using syntactically co-safe Linear Temporal Logic (scLTL). We propose an abstraction-based approach that…

Systems and Control · Electrical Eng. & Systems 2022-05-30 Jesse Jiang , Ye Zhao , Samuel Coogan

We present a novel framework that integrates Large Language Models (LLMs) with automated planning and formal verification to streamline the creation and use of Markov Decision Processes (MDP). Our system leverages LLMs to extract structured…

Robotics · Computer Science 2026-01-12 Enrico Saccon , Davide De Martini , Matteo Saveriano , Edoardo Lamon , Luigi Palopoli , Marco Roveri

Recent work has considered trust-aware decision making for human-robot collaboration (HRC) with a focus on model learning. In this paper, we are interested in enabling the HRC system to complete complex tasks specified using temporal logic…

Robotics · Computer Science 2023-10-03 Pian Yu , Shuyang Dong , Shili Sheng , Lu Feng , Marta Kwiatkowska

We present the first model-free Reinforcement Learning (RL) algorithm to synthesise policies for an unknown Markov Decision Process (MDP), such that a linear time property is satisfied. The given temporal property is converted into a Limit…

Machine Learning · Computer Science 2019-02-19 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

There has been substantial progress in the inference of formal behavioural specifications from sample trajectories, for example, using Linear Temporal Logic (LTL). However, these techniques cannot handle specifications that correctly…

Logic in Computer Science · Computer Science 2025-05-20 Rajarshi Roy , Yash Pote , David Parker , Marta Kwiatkowska

In this paper, we introduce a data-driven framework for synthesis of provably-correct controllers for general nonlinear switched systems under complex specifications. The focus is on systems with unknown disturbances whose effects on the…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Ibon Gracia , Dimitris Boskos , Luca Laurenti , Morteza Lahijanian

Markov decision processes (MDPs) provide a fundamental model for sequential decision making under process uncertainty. A classical synthesis task is to compute for a given MDP a winning policy that achieves a desired specification. However,…

Logic in Computer Science · Computer Science 2024-07-18 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

In this paper, we propose a model-free reinforcement learning method to synthesize control policies for motion planning problems with continuous states and actions. The robot is modelled as a labeled discrete-time Markov decision process…

Artificial Intelligence · Computer Science 2020-10-01 Chuanzheng Wang , Yinan Li , Stephen L. Smith , Jun Liu

The formal verification and controller synthesis for Markov decision processes that evolve over uncountable state spaces are computationally hard and thus generally rely on the use of approximations. In this work, we consider the…

Systems and Control · Computer Science 2018-11-28 Sofie Haesaert , Sadegh Soudjani , Alessandro Abate

The control of dynamical systems under temporal logic specifications among uncontrollable dynamic agents is challenging due to the agents' a-priori unknown behavior. Existing works have considered the problem where either all agents are…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Xinyi Yu , Yiqi Zhao , Xiang Yin , Lars Lindemann

Perception-related tasks often arise in autonomous systems operating under partial observability. This work studies the problem of synthesizing optimal policies for complex perception-related objectives in environments modeled by partially…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Zetong Xuan , Yu Wang

This paper concerns the risk-aware control of stochastic systems with temporal logic specifications dynamically assigned during runtime. Conventional risk-aware control typically assumes that all specifications are predefined and remain…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Maico H. W. Engelaar , Zengjie Zhang , Mircea Lazar , Sofie Haesaert

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

This paper addresses the problem of learning control policies for mobile robots, modeled as unknown Markov Decision Processes (MDPs), that are tasked with temporal logic missions, such as sequencing, coverage, or surveillance. The MDP…

Robotics · Computer Science 2022-07-13 Yiannis Kantaros

This paper presents a model-free reinforcement learning (RL) algorithm to synthesize a control policy that maximizes the satisfaction probability of linear temporal logic (LTL) specifications. Due to the consideration of environment and…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Mingyu Cai , Shaoping Xiao , Baoluo Li , Zhiliang Li , Zhen Kan

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

This paper formalizes path planning problem for a group of heterogeneous Dubins vehicles performing tasks in a remote fashion and develops a memetic algorithm-based method to effectively produce the paths. In the setting, the vehicles are…

Multiagent Systems · Computer Science 2018-08-09 Doo-Hyun Cho , Han-Lim Choi

In runtime verification, manually formalizing a specification for monitoring system executions is a tedious and error-prone process. To address this issue, we consider the problem of automatically synthesizing formal specifications from…

Artificial Intelligence · Computer Science 2023-10-27 Ritam Raha , Rajarshi Roy , Nathanael Fijalkow , Daniel Neider , Guillermo A. Perez