Question

Question 8 Which one of the following statements is false? 1. The closure of an infinite, non-empty language is infinite. 2. The closure of a finite, non-empty language is finite. 3. $\Lambda^$ is finite. 4. $(a \Lambda + \Lambda^b)\Lambda^*$ is finite.

          Question 8
Which one of the following statements is false?
1. The closure of an infinite, non-empty language is infinite.
2. The closure of a finite, non-empty language is finite.
3. $\Lambda^*$ is finite.
4. $(a \Lambda + \Lambda^*b)\Lambda^*$ is finite.

Question 8
Which one of the following statements is false?
1. The closure of an infinite, non-empty language is infinite.
2. The closure of a finite, non-empty language is finite.
3. Λ^* is finite.
4. (a Λ + Λ^*b)Λ^* is finite.

Added by Karina R.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

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Solved by Expert K S

Step 1

The closure of an infinite, non-empty language is infinite - This statement is true. The closure of a language L is denoted as L* and it includes all possible concatenations of strings from L, including the empty string ε. If the original language L is infinite, Show more…

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Question 8 Which one of the following statements is false? 1. 2. 3. 4. The closure of an infinite, non-empty language is infinite The closure of a finite, non-empty language is finite. A* is finite. (a+ A*b)* is finite