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 …

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 …

Complexity of reconfiguration in surface chemical reaction networks

RM Alaniz, J Brunner, M Coulombe… - arXiv preprint arXiv …, 2023 - arxiv.org
We analyze the computational complexity of basic reconfiguration problems for the recently
introduced surface Chemical Reaction Networks (sCRNs), where ordered pairs of adjacent …

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 …

Complexity of Motion Planning of Arbitrarily Many Robots: Gadgets, Petri Nets, and Counter Machines

H Ani, M Coulombe, ED Demaine, J Diomidova… - arXiv preprint arXiv …, 2023 - arxiv.org
We extend the motion-planning-through-gadgets framework to several new scenarios
involving various numbers of robots/agents, and analyze the complexity of the resulting …

You Can't Solve These Super Mario Bros. Levels: Undecidable Mario Games

H Ani, ED Demaine, H Hall, R Ruiz… - … Conference on Fun …, 2024 - drops.dagstuhl.de
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 …

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 …

Problems in Algorithmic Self-assembly and a Genetic Approach to Patterns

A Rodriguez - 2023 - search.proquest.com
As it becomes increasingly harder to make transistors smaller, replacements for traditional
silicon computers become sought after. To study the computing power of these potential …

[PDF][PDF] Reachability in Population Protocols is PSPACE-Complete

B Fu, T Gomez, E Grizzell, A Rodriguez… - Japan Conference on …, 2022 - par.nsf.gov
Recently developed motion planning techniques lend powerful tools to formulate insights
across numerous research fields. This work investigates the application of motion planning …

[图书][B] Combinatorial Algorithms: 33rd International Workshop, IWOCA 2022, Trier, Germany, June 7–9, 2022, Proceedings

C Bazgan, H Fernau - 2022 - books.google.com
The 33rd International Workshop on Combinatorial Algorithms (IWOCA 2022) was planned
as a hybrid event, with the on-site activities taking place at the University of Trier, Germany …