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Tracks from hell — when finding a proof may be easier than checking it
Theoretical Computer Science ( IF 0.718 ) Pub Date : 2020-05-22 , DOI: 10.1016/j.tcs.2020.05.027
Matteo Almanza; Stefano Leucci; Alessandro Panconesi

We consider the popular smartphone game Trainyard: a puzzle game that requires the player to lay down tracks in order to route colored trains from departure stations to suitable arrival stations. While it is already known [Almanza et al., FUN 2016] that the problem of finding a solution to a given Trainyard instance (i.e., game level) is NP-hard, determining the computational complexity of checking whether a candidate solution (i.e., a track layout) solves the level was left as an open problem. In this paper we prove that this verification problem is PSPACE-complete, thus implying that Trainyard players might not only have a hard time finding solutions to a given level, but they might even be unable to efficiently recognize them.
更新日期:2020-05-22

 

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