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In this paper, we present a method for finding approximate Nash equilibria in a broad class of reachability games. These games are often used to formulate both collision avoidance and goal satisfaction. Our method is computationally…

Systems and Control · Electrical Eng. & Systems 2021-03-23 David Fridovich-Keil , Claire J. Tomlin

In Verification and in (optimal) AI Planning, a successful method is to formulate the application as boolean satisfiability (SAT), and solve it with state-of-the-art DPLL-based procedures. There is a lack of understanding of why this works…

Artificial Intelligence · Computer Science 2017-01-11 Joerg Hoffmann , Carla Gomes , Bart Selman

The success of Large Language Models (LLMs) in human-AI collaborative decision-making hinges on their ability to provide trustworthy, gradual, and tailored explanations. Solving complex puzzles, such as Sudoku, offers a canonical example of…

Computation and Language · Computer Science 2026-04-28 Anirudh Maiya , Razan Alghamdi , Maria Leonor Pacheco , Ashutosh Trivedi , Fabio Somenzi

Implementing board games in code can be a time-consuming task. However, Large Language Models (LLMs) have been proven effective at generating code for domain-specific tasks with simple contextual information. We aim to investigate whether…

Robots need task planning algorithms to sequence actions toward accomplishing goals that are impossible through individual actions. Off-the-shelf task planners can be used by intelligent robotics practitioners to solve a variety of planning…

Artificial Intelligence · Computer Science 2019-02-27 Yuqian Jiang , Shiqi Zhang , Piyush Khandelwal , Peter Stone

Games are often designed to shape player behavior in a desired way; however, it can be unclear how design decisions affect the space of behaviors in a game. Designers usually explore this space through human playtesting, which can be…

Artificial Intelligence · Computer Science 2019-08-06 Alexander Zook , Brent Harrison , Mark O. Riedl

This paper proves that push-pull block puzzles in 3D are PSPACE-complete to solve, and push-pull block puzzles in 2D with thin walls are NP-hard to solve, settling an open question by Zubaran and Ritt. Push-pull block puzzles are a type of…

Computational Complexity · Computer Science 2017-09-06 Erik D. Demaine , Isaac Grosof , Jayson Lynch

Weighted timed games are played by two players on a timed automaton equipped with weights: one player wants to minimise the accumulated weight while reaching a target, while the other has an opposite objective. Used in a reactive synthesis…

Computer Science and Game Theory · Computer Science 2017-02-01 Damien Busatto-Gaston , Benjamin Monmege , Pierre-Alain Reynier

We introduce SATBench, a benchmark for evaluating the logical reasoning capabilities of large language models (LLMs) through logical puzzles derived from Boolean satisfiability (SAT) problems. Unlike prior work that focuses on inference…

Artificial Intelligence · Computer Science 2025-09-23 Anjiang Wei , Yuheng Wu , Yingjia Wan , Tarun Suresh , Huanmi Tan , Zhanke Zhou , Sanmi Koyejo , Ke Wang , Alex Aiken

Many animals, and an increasing number of artificial agents, display sophisticated capabilities to perceive and manipulate objects. But human beings remain distinctive in their capacity for flexible, creative tool use -- using objects in…

Artificial Intelligence · Computer Science 2022-10-12 Kelsey R. Allen , Kevin A. Smith , Joshua B. Tenenbaum

To assist users in complex tasks, LLMs generate plans: step-by-step instructions towards a goal. While alignment methods aim to ensure LLM plans are helpful, they train (RLHF) or evaluate (ChatbotArena) on what users prefer, assuming this…

Large language models (LLMs) have achieved striking successes on many benchmarks, yet recent studies continue to expose fundamental weaknesses. In this paper, we introduce Concept, a simple word-guessing board game, as a benchmark for…

Computation and Language · Computer Science 2026-01-07 Ine Gevers , Walter Daelemans

Planning is a fundamental activity, arising frequently in many contexts, from daily tasks to industrial processes. The planning task consists of selecting a sequence of actions to achieve a specified goal from specified initial conditions.…

Artificial Intelligence · Computer Science 2024-12-10 Carla Davesa Sureda , Joan Espasa Arxer , Ian Miguel , Mateu Villaret Auselle

We study building multi-task agents in open-world environments. Without human demonstrations, learning to accomplish long-horizon tasks in a large open-world environment with reinforcement learning (RL) is extremely inefficient. To tackle…

Machine Learning · Computer Science 2023-12-05 Haoqi Yuan , Chi Zhang , Hongcheng Wang , Feiyang Xie , Penglin Cai , Hao Dong , Zongqing Lu

Humans learn to play video games significantly faster than the state-of-the-art reinforcement learning (RL) algorithms. People seem to build simple models that are easy to learn to support planning and strategic exploration. Inspired by…

Artificial Intelligence · Computer Science 2018-11-27 Ramtin Keramati , Jay Whang , Patrick Cho , Emma Brunskill

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

While advancements in NLP have significantly improved the performance of Large Language Models (LLMs) on tasks requiring vertical thinking, their lateral thinking capabilities remain under-explored and challenging to measure due to the…

Computation and Language · Computer Science 2024-10-10 Qi Chen , Bowen Zhang , Gang Wang , Qi Wu

Large Language Models (LLMs) have shown remarkable performance in various basic natural language tasks. For completing the complex task, we still need a plan for the task to guide LLMs to generate the specific solutions step by step. LLMs…

Computation and Language · Computer Science 2023-12-14 Yiduo Guo , Yaobo Liang , Chenfei Wu , Wenshan Wu , Dongyan Zhao , Nan Duan

Abductive reasoning (or Abduction, for short) is among the most fundamental AI reasoning methods, with a broad range of applications, including fault diagnosis, belief revision, and automated planning. Unfortunately, Abduction is of high…

Artificial Intelligence · Computer Science 2013-04-23 Andreas Pfandler , Stefan Rümmele , Stefan Szeider

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin