Pushing blocks via checkable gadgets: PSPACE-completeness of Push-1F and Block/Box Dude

H Ani, L Chung, ED Demaine, J Diomidova… - arXiv preprint arXiv …, 2024 - arxiv.org
We prove PSPACE-completeness of the well-studied pushing-block puzzle Push-1F, a
theoretical abstraction of many video games (introduced in 1999). The proof also extends to …

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 …

Traversability, reconfiguration, and reachability in the gadget framework

J Ani, ED Demaine, Y Diomidov, D Hendrickson… - Algorithmica, 2023 - Springer
Consider an agent traversing a graph of “gadgets”, where each gadget has local state that
changes with each traversal by the agent according to specified rules. Prior work has …

Trains, games, and complexity: 0/1/2-player motion planning through input/output gadgets

J Ani, ED Demaine, D Hendrickson, J Lynch - … Conference and Workshops …, 2022 - Springer
We analyze the computational complexity of motion planning through local “input/output”
gadgets with separate entrances and exits, and a subset of allowed traversals from …

Multi-agent motion planning using deep learning for space applications

K Yun, C Choi, R Alimo, A Davis, L Forster, A Rahmani… - ASCEND 2020, 2020 - arc.aiaa.org
State-of-the-art motion planners cannot scale to a large number of systems. Motion planning
for multiple agents is an NP (non-deterministic polynomial-time) hard problem, so the …

Reachability in restricted chemical reaction networks

RM Alaniz, B Fu, T Gomez, E Grizzell… - arXiv preprint arXiv …, 2022 - arxiv.org
The popularity of molecular computation has given rise to several models of abstraction, one
of the more recent ones being Chemical Reaction Networks (CRNs). These are equivalent …

Characterizing universal reconfigurability of modular pivoting robots

HA Akitaya, ED Demaine, A Gonczi… - arXiv preprint arXiv …, 2020 - arxiv.org
We give both efficient algorithms and hardness results for reconfiguring between two
connected configurations of modules in the hexagonal grid. The reconfiguration moves that …

PSPACE-completeness of reversible deterministic systems

ED Demaine, RA Hearn, D Hendrickson… - International Journal of …, 2023 - World Scientific
We prove PSPACE-completeness of several reversible, fully deterministic systems. At the
core, we develop a framework for such proofs (building on a result of Tsukiji and Hagiwara …

Gadgets and gizmos: A formal model of simulation in the gadget framework for motion planning

D Hendrickson - 2021 - dspace.mit.edu
Recent work has developed a theory of motion-planning gadgets, which are a useful tool for
proving hardness for a variety of problems that can be thought of in terms of an agent …

PSPACE-completeness of pulling blocks to reach a goal

J Ani, S Asif, ED Demaine, Y Diomidov… - Journal of Information …, 2020 - jstage.jst.go.jp
We prove PSPACE-completeness of all but one problem in a large space of pulling-block
problems where the goal is for the agent to reach a target destination. The problems are …