cs.AI updates on arXiv.org 07月09日 12:01
Strongly Solving $7 \times 6$ Connect-Four on Consumer Grade Hardware
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本文提出基于二进制决策图的符号搜索方法,成功生成大型查找表,实现Connect-Four游戏强解。

arXiv:2507.05267v1 Announce Type: new Abstract: While the game Connect-Four has been solved mathematically and the best move can be effectively computed with search based methods, a strong solution in the form of a look-up table was believed to be infeasible. In this paper, we revisit a symbolic search method based on binary decision diagrams to produce strong solutions. With our efficient implementation we were able to produce a 89.6 GB large look-up table in 47 hours on a single CPU core with 128 GB main memory for the standard $7 \times 6$ board size. In addition to this win-draw-loss evaluation, we include an alpha-beta search in our open source artifact to find the move which achieves the fastest win or slowest loss.

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Connect-Four 查找表 强解 符号搜索 二进制决策图
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