Walking through doors is hard, even without staircases: Proving PSPACE-hardness via planar assemblies of door gadgets
H Ani, J Bosboom, ED Demaine, J Diomidova… - arxiv preprint arxiv …, 2020 - arxiv.org
A door gadget has two states and three tunnels that can be traversed by an agent (player,
robot, etc.): the" open" and" close" tunnel sets the gadget's state to open and closed …
robot, etc.): the" open" and" close" tunnel sets the gadget's state to open and closed …
Toward a general theory of motion planning complexity: Characterizing which gadgets make games hard
ED Demaine, DH Hendrickson, J Lynch - arxiv preprint arxiv:1812.03592, 2018 - arxiv.org
We build a general theory for characterizing the computational complexity of motion
planning of robot (s) through a graph of" gadgets", where each gadget has its own state …
planning of robot (s) through a graph of" gadgets", where each gadget has its own state …
The computational complexity of Portal and other 3D video games
We classify the computational complexity of the popular video games Portal and Portal 2.
We isolate individual mechanics of the game and prove NP-hardness, PSPACE …
We isolate individual mechanics of the game and prove NP-hardness, PSPACE …
A framework for proving the computational intractability of motion planning problems
J Lynch - 2020 - dspace.mit.edu
This thesis develops a framework for proving computational complexity results about motion
planning problems. The model captures reactive environments with local interaction. We …
planning problems. The model captures reactive environments with local interaction. We …
[HTML][HTML] The computational complexity of Angry Birds
The physics-based simulation game Angry Birds has been heavily researched by the AI
community over the past five years, and has been the subject of a popular AI competition …
community over the past five years, and has been the subject of a popular AI competition …
The Legend of Zelda: The complexity of mechanics: Discrete and computational geometry, graphs, and games
J Bosboom, J Brunner, M Coulombe… - Thai Journal of …, 2023 - thaijmath2.in.cmu.ac.th
We analyze some of the many game mechanics available to Link in the classic Legend of
Zelda series of video games. In each case, we prove that the generalized game with that …
Zelda series of video games. In each case, we prove that the generalized game with that …
The computational complexity of angry birds and similar physics-simulation games
This paper presents several proofs for the computational complexity of the popular physics-
based puzzle game AngryBirds. By using a combination of different gadgets within this …
based puzzle game AngryBirds. By using a combination of different gadgets within this …
The Legend of Zelda: The Complexity of Mechanics
J Bosboom, J Brunner, M Coulombe… - arxiv preprint arxiv …, 2022 - arxiv.org
We analyze some of the many game mechanics available to Link in the classic Legend of
Zelda series of video games. In each case, we prove that the generalized game with that …
Zelda series of video games. In each case, we prove that the generalized game with that …
Games, Puzzles and Treewidth
TC Van Der Zanden - … , Kernels, and Algorithms: Essays Dedicated to Hans …, 2020 - Springer
We discuss some results on the complexity of games and puzzles. In particular, we focus on
the relationship between bounded treewidth and the (in-) tractability of games and puzzles …
the relationship between bounded treewidth and the (in-) tractability of games and puzzles …
Games meet Concurrency: Algorithms and Hardness
MJ Coulombe - 2023 - dspace.mit.edu
Since the turn of the 21st century, seeing the decline of Moore's Law on the horizon, the
pursuit of continued software performance gains has led to the prominence of computer …
pursuit of continued software performance gains has led to the prominence of computer …