运用围棋进行计算理论教学

G. Farr
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引用次数: 0

摘要

自2016年以来,随着公众对围棋这一古老游戏的兴趣日益浓厚,现在是将围棋用于教学的绝佳时机。这个游戏是一个很好的计算理论练习资源。我们给出了一些在我们对围棋的研究中开发的练习,然后在莫纳什大学教授这门课程时使用。这些都是基于一维围棋(1D-Go),它使用路径图作为其板。它们是关于确定一个位置是否合法以及计算合法位置的数量。可以用1D-Go来说明和练习的课程元素包括:正则表达式、线性递归、归纳法证明、自动机、规则语法、上下文无关的语法和语言、下推自动机和图灵机。
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Using Go in teaching the theory of computation
With increased public interest in the ancient game of Go since 2016, it is an espe- cially good time to use it in teaching. The game is an excellent source of exercises in the theory of computation. We give some exercises developed during our research on Go which were then used when teaching this subject at Monash University. These are based on One-Dimensional Go (1D-Go) which uses a path graph as its board. They are about determining whether or not a position is legal and counting the number of legal positions. Curriculum elements that may be illustrated and practised using 1D-Go include: regular expressions, linear recurrences, proof by induction, nite automata, regular grammars, context-free grammars and languages, pushdown automata, and Turing machines.
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Technical Report Column Open Problems Column Distributed Computing Column 87 Recent Advances in Multi-Pass Graph Streaming Lower Bounds The Book Review Column Recent Advances in Multi-Pass Graph Streaming Lower Bounds
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