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Topic #54 : The Computational Complexity of a Sokoban Variant
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The paper can be downloaded for free in the first 50 days from the link below, until June 21, 2017.
https://authors.elsevier.com/a/1U~4b15DaHuwaY
Abstract
Sokoban is one of the most studied combinatorial puzzle game in the literature. Its computational complexity was first shown to be PSPACE-complete in 1997. A new proof of this result was obtained by Hearn and Demaine (2005) , by introducing the Nondeterministic Constraint Logic (Ncl) problem. Since then, Ncl has been used to prove the PSPACE-completeness of several other puzzles including a few Sokoban variants, by many authors. In this paper, we show that Snowman, a new Sokoban-like puzzle game released in 2015, is PSPACE-complete by reduction from Ncl.