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We study the iterative refinement of path planning for multiple robots, known as multi-agent pathfinding (MAPF). Given a graph, agents, their initial locations, and destinations, a solution of MAPF is a set of paths without collisions.…

Robotics · Computer Science 2022-02-15 Keisuke Okumura , Yasumasa Tamura , Xavier Defago

The Multi-Agent Path Finding (MAPF) problem aims to find collision-free paths for multiple agents while optimizing objectives such as the sum of costs or makespan. MAPF has wide applications in domains like automated warehouses,…

Robotics · Computer Science 2025-12-01 Jingtian Yan , Shuai Zhou , Stephen F. Smith , Jiaoyang Li

Max#SAT is an important problem with multiple applications in security and program synthesis that is proven hard to solve. It is defined as: given a parameterized quantifier-free propositional formula compute parameters such that the number…

Logic in Computer Science · Computer Science 2023-02-07 Thomas Vigouroux , Cristian Ene , David Monniaux , Laurent Mounier , Marie-Laure Potet

Abstraction, counterexample-guided refinement, and interpolation are techniques that are essential to the success of predicate-based program analysis. These techniques have not yet been applied together to explicit-value program analysis.…

Software Engineering · Computer Science 2013-01-01 Dirk Beyer , Stefan Löwe

SAT solvers are increasingly being used for cryptanalysis of hash functions and symmetric encryption schemes. Inspired by this trend, we present MapleCrypt which is a SAT solver-based cryptanalysis tool for inverting hash functions. We…

Cryptography and Security · Computer Science 2016-08-17 Saeed Nejati , Jia Hui Liang , Vijay Ganesh , Catherine Gebotys , Krzysztof Czarnecki

Multi-agent pathfinding (MAPF) is a problem that generally requires finding collision-free paths for multiple agents in a shared environment. Solving MAPF optimally, even under restrictive assumptions, is NP-hard, yet efficient solutions…

Multiagent Systems · Computer Science 2025-04-09 Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov , Alexey Skrynnik

Model checking invariant properties of designs, represented as transition systems, with non-linear real arithmetic (NRA), is an important though very hard problem. On the one hand NRA is a hard-to-solve theory; on the other hand most of the…

Logic in Computer Science · Computer Science 2018-01-29 Alessandro Cimatti , Alberto Griggio , Ahmed Irfan , Marco Roveri , Roberto Sebastiani

Multi-Agent Path Finding (MAPF) is a representative multi-agent coordination problem, where multiple agents are required to navigate to their respective goals without collisions. Solving MAPF optimally is known to be NP-hard, leading to the…

Machine Learning · Computer Science 2026-05-12 Rishabh Jain , Keisuke Okumura , Michael Amir , Pietro Lio , Amanda Prorok

Finding near-optimal solutions for dense multi-agent pathfinding (MAPF) problems in real-time remains challenging even for state-of-the-art planners. To this end, we develop a hybrid framework that integrates a learned heuristic derived…

Artificial Intelligence · Computer Science 2025-10-21 Rishabh Jain , Keisuke Okumura , Michael Amir , Amanda Prorok

Multi-Agent Pathfinding (MAPF) is the problem of finding paths for multiple agents such that every agent reaches its goal and the agents do not collide. Most prior work on MAPF was on grids, assumed agents' actions have uniform duration,…

Artificial Intelligence · Computer Science 2019-06-17 Anton Andreychuk , Konstantin Yakovlev , Dor Atzmon , Roni Stern

This paper addresses a variant of multi-agent path finding (MAPF) in continuous space and time. We present a new solving approach based on satisfiability modulo theories (SMT) to obtain makespan optimal solutions. The standard MAPF is a…

Artificial Intelligence · Computer Science 2019-03-26 Pavel Surynek

In the Multi-Agent Path Finding (MAPF) problem, the goal is to find non-colliding paths for agents in an environment, such that each agent reaches its goal from its initial location. In safety-critical applications, a human supervisor may…

Artificial Intelligence · Computer Science 2023-03-15 Justin Kottinger , Shaull Almagor , Morteza Lahijanian

The concurrent target assignment and pathfinding (TAPF) problem extends multi-agent pathfinding (MAPF) by asking planners to allocate distinct targets and collision-free paths to agents. Prior work on TAPF has relied exclusively on…

Artificial Intelligence · Computer Science 2026-05-13 Yu Kumagai , Keisuke Okumura

Multi Agent Path Finding (MAPF) requires identification of conflict free paths for agents which could be point-sized or with dimensions. In this paper, we propose an approach for MAPF for spatially-extended agents. These find application in…

Multiagent Systems · Computer Science 2021-06-10 Shyni Thomas , M. Narasimha Murty

Safety verification of robot applications is extremely challenging due to the complexity of the environment that a robot typically operates in. Formal verification with model-checking provides guarantees but it may often take too long or…

Robotics · Computer Science 2025-05-30 Christoph Luckeneder , Ralph Hoch , Hermann Kaindl

Multi-Agent Pathfinding (MAPF) plays a critical role in various domains. Traditional MAPF methods typically assume unit edge costs and single-timestep actions, which limit their applicability to real-world scenarios. MAPFR extends MAPF to…

Artificial Intelligence · Computer Science 2026-04-08 Hongkai Fan , Qinjing Xie , Bo Ouyang , Yaonan Wang , Zhi Yan , Jiawen He , Zheng Fang

This paper introduces a new approach to solving a continuous-time version of the multi-agent path finding problem. The algorithm translates the problem into an extension of the classical Boolean satisfiability problem, satisfiability modulo…

Multiagent Systems · Computer Science 2023-12-18 Tomáš Kolárik , Stefan Ratschan , Pavel Surynek

Multi-Agent Path Finding (MAPF) is a fundamental motion coordination problem arising in multi-agent systems with a wide range of applications. The problem's intractability has led to extensive research on improving the scalability of…

Multiagent Systems · Computer Science 2023-05-26 Tzvika Geft

The MAPF problem is the fundamental problem of planning paths for multiple agents, where the key constraint is that the agents will be able to follow these paths concurrently without colliding with each other. Applications of MAPF include…

Multi-Agent Path Finding (MAPF) is a fundamental problem in artificial intelligence and robotics, requiring the computation of collision-free paths for multiple agents navigating from their start locations to designated goals. As autonomous…

Artificial Intelligence · Computer Science 2025-08-01 Shiyue Wang , Haozheng Xu , Yuhan Zhang , Jingran Lin , Changhong Lu , Xiangfeng Wang , Wenhao Li