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In this work, we focus on decomposing large multi-agent path planning problems with global temporal logic goals (common to all agents) into smaller sub-problems that can be solved and executed independently. Crucially, the sub-problems'…

Artificial Intelligence · Computer Science 2022-03-17 Kevin Leahy , Austin Jones , Cristian-Ioan Vasile

In this paper, we consider a temporal logic planning problem in which the objective is to find an infinite trajectory that satisfies an optimal selection from a set of soft specifications expressed in linear temporal logic (LTL) while…

Robotics · Computer Science 2020-08-06 Hazhar Rahmani , Jason M. O'Kane

We propose a design for a functional programming language for autonomous agents, built off the ideas and motivations of Behavior Trees (BTs). BTs are a popular model for designing agents behavior in robotics and AI. However, as their growth…

Programming Languages · Computer Science 2024-12-13 Oliver Biggar , Iman Shames

We study temporally extended goals expressed in Pure-Past LTL (PPLTL). PPLTL is particularly interesting for expressing goals since it allows to express sophisticated tasks as in the Formal Methods literature, while the worst-case…

Artificial Intelligence · Computer Science 2022-06-02 Giuseppe De Giacomo , Marco Favorito , Francesco Fuggitti

In this paper, we consider the robot motion (or task) planning problem under some given time bounded high level specifications. We use metric interval temporal logic (MITL), a member of the temporal logic family, to represent the task…

Systems and Control · Computer Science 2016-03-30 Yuchen Zhou , Dipankar Maity , John S. Baras

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

In this paper, we introduce a hybrid zonotope-based approach for formally verifying the behavior of autonomous systems operating under Linear Temporal Logic (LTL) specifications. In particular, we formally verify the LTL formula by…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Loizos Hadjiloizou , Frank J. Jiang , Amr Alanwar , Karl H. Johansson

Learning formulas in Linear Temporal Logic (LTLf) from finite traces is a fundamental research problem which has found applications in artificial intelligence, software engineering, programming languages, formal methods, control of…

Artificial Intelligence · Computer Science 2026-01-14 Gabriel Bathie , Nathanaël Fijalkow , Théo Matricon , Baptiste Mouillon , Pierre Vandenhove

This work considers the path planning problem for a team of identical robots evolving in a known environment. The robots should satisfy a global specification given as a Linear Temporal Logic (LTL) formula over a set of regions of interest.…

Robotics · Computer Science 2022-11-09 Sofia Hustiu , Cristian Mahulea , Marius Kloetzer , Jean-Jacques Lesage

In this paper, we consider the problem of optimally allocating tasks, expressed as global Linear Temporal Logic (LTL) specifications, to teams of heterogeneous mobile robots. The robots are classified in different types that capture their…

Robotics · Computer Science 2022-02-15 Xusheng Luo , Michael M. Zavlanos

Signal Temporal Logic (STL) is a powerful specification language for describing complex temporal behaviors of continuous signals, making it well-suited for high-level robotic task descriptions. However, generating executable plans for STL…

Robotics · Computer Science 2025-10-28 Ruijia Liu , Ancheng Hou , Xiao Yu , Xiang Yin

Reward engineering is an important aspect of reinforcement learning. Whether or not the user's intentions can be correctly encapsulated in the reward function can significantly impact the learning outcome. Current methods rely on manually…

Artificial Intelligence · Computer Science 2017-09-28 Xiao Li , Yao Ma , Calin Belta

This paper presents a new approach to design verified compositions of Neural Network (NN) controllers for autonomous systems with tasks captured by Linear Temporal Logic (LTL) formulas. Particularly, the LTL formula requires the system to…

Robotics · Computer Science 2022-09-14 Jun Wang , Samarth Kalluraya , Yiannis Kantaros

Goal Recognition is the task of discerning the correct intended goal that an agent aims to achieve, given a set of goal hypotheses, a domain model, and a sequence of observations (i.e., a sample of the plan executed in the environment).…

Artificial Intelligence · Computer Science 2023-06-16 Ramon Fraga Pereira , Francesco Fuggitti , Felipe Meneguzzi , Giuseppe De Giacomo

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

In this work, we propose an LLM-based BT generation framework to leverage the strengths of both for sequential manipulation planning. To enable human-robot collaborative task planning and enhance intuitive robot programming by nonexperts,…

Robotics · Computer Science 2024-09-17 Jicong Ao , Yansong Wu , Fan Wu , Sami Haddadin

Several task and motion planning algorithms have been proposed recently to design paths for mobile robot teams with collaborative high-level missions specified using formal languages, such as Linear Temporal Logic (LTL). However, the…

Robotics · Computer Science 2023-10-03 Samarth Kalluraya , George J. Pappas , Yiannis Kantaros

Many systems are naturally modeled as Markov Decision Processes (MDPs), combining probabilities and strategic actions. Given a model of a system as an MDP and some logical specification of system behavior, the goal of synthesis is to find a…

Logic in Computer Science · Computer Science 2020-09-24 Andrew M. Wells , Morteza Lahijanian , Lydia E. Kavraki , Moshe Y. Vardi

We address the problem of learning temporal properties from the branching-time behavior of systems. Existing research in this field has mostly focused on learning linear temporal properties specified using popular logics, such as Linear…

Logic in Computer Science · Computer Science 2024-07-01 Benjamin Bordais , Daniel Neider , Rajarshi Roy

We present a method to generate a robot control strategy that maximizes the probability to accomplish a task. The task is given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied at the regions of a…

Optimization and Control · Mathematics 2015-03-19 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus