A Simple Proof that Ricochet Robots is PSPACE-Complete

Authors: Jose Balanza-Martinez, Angel A. Cantu, Robert Schweller, Tim Wylie

arXiv: 2402.11440v1 - DOI (cs.CC)
License: CC BY-NC-ND 4.0

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.

Submitted to arXiv on 18 Feb. 2024

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