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CT-G-06 - 2006-2007 2007 1 22:120 1 2 3 4 5 6 7 8 Zhejiang...

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ᆄ江大学 2006-2007 学年 季学期 研究生《计算理论》课程期末考试试卷 : 2007 1 22 日,所需时间 :120 分ᇒ,任课教师 : 考生姓名: 学号: ህြ: 题序 1 2 3 4 5 6 7 8 ሹ分 得分 评卷人 Zhejiang University Theory of Computation, Fall-Winter 2006 Final Exam 1. (30%) Determine whether the following statements are true or false. If it is true write a X otherwise a × in the bracket before the statement. (a) ( ) A countable union of regular languages is necessarily regular. (b) ( ) If a DFA M contains a self-loop on some state q , then M must accept an infinite language. (c) ( ) Language { ucv | u, v ∈ { a, b } * and | v | < | u | < 2 | v |} is context-free. (d) ( ) For a given context-free language L and a string x , the decision problem for whether x L is decidable. (e) ( ) The complement of every recursive enumerable language is necessarily nonrecursive enumerable. (f) ( ) If one can list the elements of a language in order, then the language must be recursive.
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