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 …

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 …

Full tilt: Universal constructors for general shapes with uniform external forces

J Balanza-Martinez, A Luchsinger, D Caballero… - Proceedings of the …, 2019 - SIAM
We investigate the problem of assembling general shapes and patterns in a model in which
particles move based on uniform external forces until they encounter an obstacle. In this …

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 …

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 …