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A Simple Proof that Ricochet Robots is PSPACE-Complete
Jose Balanza-Martinez, Angel A. Cantu, Robert Schweller, Tim Wyl · 2024-02-18 · via cs.DS updates on arXiv.org

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.