PSPACE-completeness of Pulling Blocks to Reach a Goal

Hayashi Ani; Sualeh Asif; Erik D. Demaine; Jenny Diomidova; Dylan Hendrickson; Jayson Lynch; Sarah Scheffler; Adam Suhl

doi:10.2197/ipsjjip.28.929

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arXiv · 2006.04337

PSPACE-completeness of Pulling Blocks to Reach a Goal

Hayashi Ani·Sualeh Asif·Erik D. Demaine·Jenny Diomidova·Dylan Hendrickson·Jayson Lynch·Sarah Scheffler·Adam Suhl

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Abstract

We prove PSPACE-completeness of all but one problem in a large space of pulling-block problems where the goal is for the agent to reach a target destination. The problems are parameterized by whether pulling is optional, the number of blocks which can be pulled simultaneously, whether there are fixed blocks or thin walls, and whether there is gravity. We show NP-hardness for the remaining problem, Pull?-1FG (optional pulling, strength 1, fixed blocks, with gravity).

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Hayashi Ani, Sualeh Asif, Erik D. Demaine, Jenny Diomidova, Dylan Hendrickson, Jayson Lynch, Sarah Scheffler, Adam Suhl. 2020-06-08. PSPACE-completeness of Pulling Blocks to Reach a Goal. https://doi.org/10.2197/ipsjjip.28.929

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