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PSPACE-Completeness of Bloxorz and of Games with 2-Buttons

机译:Bloxorz的PSPACE-完整性和2个按钮的游戏

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Bloxorz is an online puzzle game where players move a 1 × 1 × 2 block by tilting it on a subset of the two dimensional grid, that also features switches that open and close trapdoors. The puzzle is to move the block from its initial position to an upright position on the goal square. We show that the problem of deciding whether a given Bloxorz level is solvable is PSPACE-complete and that this remains so even when all trapdoors are initially closed or all trapdoors are initially open. We also answer an open question of Viglietta [6], showing that 2-buttons are sufficient for PSPACE-hardness of general puzzle games. We also examine the hardness of some variants of Bloxorz, including variants where the block is a 1 × 1 × 1 cube, and variants with single-use tiles.
机译:Bloxorz是一个在线益智游戏,玩家通过将1×1×2块倾斜在二维网格的子集中移动,也可以采用开关,打开和关闭陷阱。拼图是将块从其初始位置移动到目标方形的直立位置。我们表明,决定给定的Bloxorz水平是否可解决的问题是PSPACE-COMPLED,即使所有腹部最初关闭或所有腹部最初打开),这也仍然如此。我们还回答了Viglietta [6]的开放问题,表明2次按钮足以用于一般益智游戏的PSPACE - 硬度。我们还研究了Bloxorz某些变体的硬度,包括块是1×1×1立方体的变体,以及用单用瓦片的变体。

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