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Humans solve problems by following existing rules and procedures, and also by leaps of creativity to redefine those rules and objectives. To probe these abilities, we developed a new benchmark based on the game Baba Is You where an agent…

Computation and Language · Computer Science 2025-09-11 Nathan Cloos , Meagan Jens , Michelangelo Naim , Yen-Ling Kuo , Ignacio Cases , Andrei Barbu , Christopher J. Cueva

We present a collaborative mixed-initiative system for building levels for the puzzle game "Baba is You". Unlike previous mixed-initiative systems, Baba is Y'all is designed for collaborative asynchronous creation by multiple users over the…

Human-Computer Interaction · Computer Science 2020-06-04 Megan Charity , Ahmed Khalifa , Julian Togelius

This paper describes a new version of the mixed-initiative collaborative level designing system: Baba is Y'all, as well as the results of a user study on the system. Baba is Y'all is a prototype for AI-assisted game design in collaboration…

Human-Computer Interaction · Computer Science 2022-10-11 M Charity , Isha Dave , Ahmed Khalifa , Julian Togelius

In this paper, we give simple NP-hardness reductions for three popular video games. The first is Baba Is You, an award winning 2D block puzzle game with the key premise being the ability to rewrite the rules of the game. The second is Fez,…

Computational Complexity · Computer Science 2022-02-23 Matthew Ferland , Vikram Kher

The Keke AI Competition introduces an artificial agent competition for the game Baba is You - a Sokoban-like puzzle game where players can create rules that influence the mechanics of the game. Altering a rule can cause temporary or…

Artificial Intelligence · Computer Science 2022-09-13 M Charity , Julian Togelius

Robot game is a two-player vector addition game played on the integer lattice $\mathbb{Z}^n$. Both players have sets of vectors and in each turn the vector chosen by a player is added to the current configuration vector of the game. One of…

Computer Science and Game Theory · Computer Science 2016-05-02 Reino Niskanen , Igor Potapov , Julien Reichert

Infinite games where several players seek to coordinate under imperfect information are deemed to be undecidable, unless the information is hierarchically ordered among the players. We identify a class of games for which joint winning…

Computer Science and Game Theory · Computer Science 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

We prove RE-completeness (and thus undecidability) of several 2D games in the Super Mario Bros. platform video game series: the New Super Mario Bros. series (original, Wii, U, and 2), and both Super Mario Maker games in all five game styles…

Computational Complexity · Computer Science 2024-05-20 MIT Hardness Group , Hayashi Ani , Erik D. Demaine , Holden Hall , Ricardo Ruiz , Naveen Venkat

Recursed is a 2D puzzle platform video game featuring treasure chests that, when jumped into, instantiate a room that can later be exited (similar to function calls), optionally generating a jar that returns back to that room (similar to…

Artificial Intelligence · Computer Science 2020-05-08 Erik Demaine , Justin Kopinsky , Jayson Lynch

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

Braid is a 2008 puzzle game centered around the ability to reverse time. We show that Braid can simulate an arbitrary computation. Our construction makes no use of Braid's unique time mechanics, and therefore may apply to many other video…

Computational Complexity · Computer Science 2014-12-03 Linus Hamilton

We consider simulation games played between Spoiler and Duplicator on two B\"uchi automata in which the choices made by Spoiler can be buffered by Duplicator in several buffers before she executes them on her structure. We show that the…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Milka Hutagalung , Norbert Hundeshagen , Dietrich Kuske , Martin Lange , Etienne Lozes

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

The translational tiling problem, dated back to Wang's domino problem in the 1960s, is one of the most representative undecidable problems in the field of discrete geometry and combinatorics. Ollinger initiated the study of the…

Combinatorics · Mathematics 2025-06-25 Chao Yang , Zhujun Zhang

We analyse the computational complexity of finding Nash equilibria in turn-based stochastic multiplayer games with omega-regular objectives. We show that restricting the search space to equilibria whose payoffs fall into a certain interval…

Computer Science and Game Theory · Computer Science 2015-07-01 Michael Ummels , Dominik Wojtczak

We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of deciding the winner in such games is undecidable in general, we…

Computer Science and Game Theory · Computer Science 2010-02-15 Tomas Brazdil , Petr Jancar , Antonin Kucera

In Newcomb's paradox you choose to receive either the contents of a particular closed box, or the contents of both that closed box and another one. Before you choose, a prediction algorithm deduces your choice, and fills the two boxes based…

Computer Science and Game Theory · Computer Science 2010-03-09 David H. Wolpert , Gregory Benford

We analyse the computational complexity of finding Nash equilibria in simple stochastic multiplayer games. We show that restricting the search space to equilibria whose payoffs fall into a certain interval may lead to undecidability. In…

Computer Science and Game Theory · Computer Science 2010-06-24 Michael Ummels , Dominik Wojtczak

We consider a network coding setting where some of the messages and edges have fixed alphabet sizes, that do not change when we increase the common alphabet size of the rest of the messages and edges. We prove that the problem of deciding…

Information Theory · Computer Science 2022-02-11 Cheuk Ting Li

We propose a new model of a distributed game, called an ATS game, which is played on a non-deterministic asynchronous transition system -- a natural distributed finite-state device working on Mazurkiewicz traces. This new…

Formal Languages and Automata Theory · Computer Science 2024-10-18 Bharat Adsul , Nehul Jain
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