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Graph-theoretic problems arise in real-world applications like logistics, communication networks, and traffic optimization. These problems are often complex, noisy, and irregular, posing challenges for traditional algorithms. Large language…

Multiagent Systems · Computer Science 2025-11-12 Zike Yuan , Ming Liu , Hui Wang , Bing Qin

Complying with traffic rules is challenging for automated vehicles, as numerous rules need to be considered simultaneously. If a planned trajectory violates traffic rules, it is common to replan a new trajectory from scratch. We instead…

Robotics · Computer Science 2025-10-09 Yuanfei Lin , Zekun Xing , Xuyuan Han , Matthias Althoff

In the contexts of automated reasoning and formal verification, important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for several theories…

Artificial Intelligence · Computer Science 2012-02-08 Roberto Sebastiani , Silvia Tomasi

Large language model (LLM) agents have shown increasing promise for collaborative task completion. However, existing multi-agent frameworks often rely on static workflows, fixed roles, and limited inter-agent communication, reducing their…

Multiagent Systems · Computer Science 2026-02-13 Chengxuan Xia , Qianye Wu , Sixuan Tian , Yilun Hao

Multi-Agent Path Finding (MAPF) is an NP-hard problem with applications in warehouse automation and multi-robot coordination. Learning-based MAPF solvers offer fast and scalable planning but often produce feasible trajectories that contain…

Robotics · Computer Science 2026-01-29 Yimin Tang , Sven Koenig , Erdem Bıyık

As industries increasingly adopt large robotic fleets, there is a pressing need for computationally efficient, practical, and optimal conflict-free path planning for multiple robots. Conflict-Based Search (CBS) is a popular method for…

Robotics · Computer Science 2025-01-30 Scott Fredriksson , Yifan Bai , Akshit Saradagi , George Nikolakopoulos

In the last decade, a plethora of algorithms for single-objective Boolean optimization has been proposed that rely on the iterative usage of a highly effective Propositional Satisfiability (SAT) solver. But the use of SAT solvers in…

Artificial Intelligence · Computer Science 2022-04-26 João Cortes , Inês Lynce , Vasco Manquinho

We propose the problem of multi-agent path planning for a generalization of the classic Cops and Robbers game via reactive synthesis. Specifically, through the application of LTLt and Coordination Synthesis, we aim to check whether various…

Logic in Computer Science · Computer Science 2025-03-17 William Fishell , Andoni Rodriguez , Mark Santolucito

The poset cover problem seeks a minimum set of partial orders whose linear extensions cover a given set of linear orders. Recognizing its NP-completeness, we devised a non-trivial reduction to the Boolean satisfiability problem using a…

Logic in Computer Science · Computer Science 2025-05-08 Chih-Cheng Rex Yuan , Bow-Yaw Wang

Free-space multi-agent path planning remains challenging at large scales. Most existing methods either offer optimality guarantees but do not scale beyond a few dozen agents, or rely on grid-world assumptions that do not generalize well to…

Robotics · Computer Science 2025-06-23 Arjo Chakravarty , Michael X. Grey , M. A. Viraj J. Muthugala , Mohan Rajesh Elara

We address the problem of planning collision-free paths for multiple agents using optimization methods known as proximal algorithms. Recently this approach was explored in Bento et al. 2013, which demonstrated its ease of parallelization…

Robotics · Computer Science 2015-04-14 José Bento , Nate Derbinsky , Charles Mathy , Jonathan S. Yedidia

The multi-agent patrol problem refers to repeatedly visiting different locations in an environment using multiple autonomous agents. For over two decades, researchers have studied this problem in various settings. While providing valuable…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Deepak Mallya , Arpita Sinha , Leena Vachhani

We describe a novel approach for computing collision-free \emph{global} trajectories for $p$ agents with specified initial and final configurations, based on an improved version of the alternating direction method of multipliers (ADMM).…

Artificial Intelligence · Computer Science 2013-11-19 Jose Bento , Nate Derbinsky , Javier Alonso-Mora , Jonathan Yedidia

Training multiple agents to coordinate is an essential problem with applications in robotics, game theory, economics, and social sciences. However, most existing Multi-Agent Reinforcement Learning (MARL) methods are online and thus…

Machine Learning · Computer Science 2024-01-19 Paul Barde , Jakob Foerster , Derek Nowrouzezahrai , Amy Zhang

The Simple Temporal Problem (STP) is a fundamental temporal reasoning problem and has recently been extended to the Multiagent Simple Temporal Problem (MaSTP). In this paper we present a novel approach that is based on enforcing…

Multiagent Systems · Computer Science 2017-11-23 Shufeng Kong , Jae Hee Lee , Sanjiang Li

This study explores the problem of Multi-Agent Path Finding with continuous and stochastic travel times whose probability distribution is unknown. Our purpose is to manage a group of automated robots that provide package delivery services…

Robotics · Computer Science 2023-02-06 Atsuyoshi Kita , Nobuhiro Suenari , Masashi Okada , Tadahiro Taniguchi

A fertile area of recent research has demonstrated concrete polynomial time lower bounds for solving natural hard problems on restricted computational models. Among these problems are Satisfiability, Vertex Cover, Hamilton Path, Mod6-SAT,…

Computational Complexity · Computer Science 2010-02-03 Ryan Williams

Answer Set Programming Modulo Theories (ASPMT) is an approach to combining answer set programming and satisfiability modulo theories based on the functional stable model semantics. It is shown that the tight fragment of ASPMT programs can…

Artificial Intelligence · Computer Science 2025-06-13 Michael Bartholomew , Joohyung Lee

Multi-Agent Path Finding (MAPF) is an important optimization problem underlying the deployment of robots in automated warehouses and factories. Despite the large body of work on this topic, most approaches make heavy simplifications, both…

We introduce a simple yet effective sampling-based planner that is tailored for bottleneck pathfinding: Given an implicitly-defined cost map $\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point in space a real…

Robotics · Computer Science 2016-09-28 Kiril Solovey , Dan Halperin
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