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The theorem that the language set distinguished deterministic finite automaton is a recursively enumerable set was proved, and then, the recursiveness of regular language was analyzed.
从正则语言识别的角度证明了正则语言的识别系统确定有限自动机所识别的语言集是一个递归可枚举集，同时讨论了正则语言的可递归性。
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