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arxiv 2006.04337 v2 pith:PYTTE2IP submitted 2020-06-08 cs.CC

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 This is my paper
classification cs.CC
keywords blockspullingwhetherfixedgoalgravityoptionalproblem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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