Are the following statements true or false? Explain your answer in each case. (I

Question

Are the following statements true or false? Explain your answer in each case. (In each case, a fixed alphabet Sigma is assumed.) Every subset of a regular language is regular. Every regular language has a regular proper subset. If L is regular, then so is {xy : x epsilon L and y epsilon L}. {w : w = wR} is regular. If L is a regular language, then so is {w : w epsilon L and wR epsilon. L}. If C is any set of regular languages, then U c is a regular language. {xyxR : x, y epsilon Sigma*} is regular.

Explanation / Answer

a)T b)F d)F e)T f)F g)T

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