SNOWMAN is PSPACE-complete

被引:2
|
作者
He, Weihua [1 ]
Liu, Ziwen [2 ]
Yang, Chao [3 ]
机构
[1] Guangdong Univ Technol, Dept Appl Math, Guangzhou, Guangdong, Peoples R China
[2] South China Univ Technol, Sch Software Engn, Guangzhou, Guangdong, Peoples R China
[3] Sun Yat Sen Univ, Sch Math, Guangzhou, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Combinatorial puzzles; Computational complexity; PSPACE-complete; Sokoban; Nondeterministic constraint logic;
D O I
10.1016/j.tcs.2017.03.011
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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) [8], by introducing the Nondeterministic Constraint Logic (N-CL) problem. Since then, N-CL 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 SoxosAN-like puzzle game released in 2015, is PSPACE-complete by reduction from N-CL. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:31 / 40
页数:10
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