A Simple Proof that Ricochet Robots is PSPACE-Complete

February 18, 2024 · The Ethereal · 🏛 arXiv.org

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Authors Jose Balanza-Martinez, Angel A. Cantu, Robert Schweller, Tim Wylie arXiv ID 2402.11440 Category cs.CC: Computational Complexity Cross-listed cs.DS Citations 0 Venue arXiv.org Last Checked 3 months ago
Abstract
In this paper, we seek to provide a simpler proof that the relocation problem in Ricochet Robots (Lunar Lockout with fixed geometry) is PSPACE-complete via a reduction from Finite Function Generation (FFG). Although this result was originally proven in 2003, we give a simpler reduction by utilizing the FFG problem, and put the result in context with recent publications showing that relocation is also PSPACE-complete in related models.
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