@inproceedings{64dad26705d241beb2d31950e4d462a0,
title = "Invited Paper: Asynchronous Deterministic Leader Election in Three-Dimensional Programmable Matter",
abstract = "Over three decades of scientific endeavors to realize programmable matter, a substance that can change its physical properties based on user input or responses to its environment, there have been many advances in both the engineering of modular robotic systems and the corresponding algorithmic theory of collective behavior. However, while the design of modular robots routinely addresses the challenges of realistic three-dimensional (3D) space, algorithmic theory remains largely focused on 2D abstractions such as planes and planar graphs. In this work, we formalize the 3D geometric space variant for the canonical amoebot model of programmable matter, using the face-centered cubic (FCC) lattice to represent space and define local spatial orientations. We then give a distributed algorithm for leader election in connected, contractible 2D or 3D geometric amoebot systems that deterministically elects exactly one leader in rounds under an unfair sequential adversary, where n is the number of amoebots in the system. We then demonstrate how this algorithm can be transformed using the concurrency control framework for amoebot algorithms (DISC 2021) to obtain the first known amoebot algorithm, both in 2D and 3D space, to solve leader election under an unfair asynchronous adversary.",
keywords = "leader election, programmable matter, three-dimensional",
author = "Briones, {Joseph L.} and Tishya Chhabra and Daymude, {Joshua J.} and Richa, {Andr{\'e}a W.}",
note = "Publisher Copyright: {\textcopyright} 2023 Owner/Author.; 24th International Conference on Distributed Computing and Networking, ICDCN 2023 ; Conference date: 04-01-2023 Through 07-01-2023",
year = "2023",
month = jan,
day = "4",
doi = "10.1145/3571306.3571389",
language = "English (US)",
series = "ACM International Conference Proceeding Series",
publisher = "Association for Computing Machinery",
pages = "38--47",
booktitle = "ICDCN 2023 - Proceedings of the 24th International Conference on Distributed Computing and Networking",
}