The Pumping Lemma states that for any regular language, there exists a constant 'p' such that any string 's' in the language with length at least 'p' can be divided into three parts, x, y, and z, such that for all i ≥ 0, the string xy^iz is also in the language.

In the given language L = {x | x = a^(15+12k), k ≥ 0}, the minimum length of string x is when k=0, which is 15. Therefore, the minimum length for W in the Pumping Lemma would be 15. However, this option is not given in the choices.

The Pumping Lemma states that the length of the string should be greater than or equal to the pumping length. So, among the given options, the minimum length that is greater than 15 is 16.

So, the correct answer is d. 16.

Question

The Pumping Lemma states that for any regular language, there exists a constant 'p' such that any string 's' in the language with length at least 'p' can be divided into three parts, x, y, and z, such that for all i ≥ 0, the string xy^iz is also in the language.

In the given language L = {x | x = a^(15+12k), k ≥ 0}, the minimum length of string x is when k=0, which is 15. Therefore, the minimum length for W in the Pumping Lemma would be 15. However, this option is not given in the choices.

The Pumping Lemma states that the length of the string should be greater than or equal to the pumping length. So, among the given options, the minimum length that is greater than 15 is 16.

So, the correct answer is d. 16.

Knowee AI · Accepted Answer

The Pumping Lemma states that for any regular language, there exists a constant 'p' such that any string 's' in the language with length at least 'p' can be divided into three parts, x, y, and z, such that for all i ≥ 0, the string xy^iz is also in the language.

In the given language L = {x | x = a^(15+12k), k ≥ 0}, the minimum length of string x is when k=0, which is 15. Therefore, the minimum length for W in the Pumping Lemma would be 15. However, this option is not given in the choices.

The Pumping Lemma states that the length of the string should be greater than or equal to the pumping length. So, among the given options, the minimum length that is greater than 15 is 16.

So, the correct answer is d. 16.

Let us consider the regular language L = {x | x = a^(15+12k), k ≥ 0}. Which one of the following will be the minimum length for W in Pumping Lemma?Select one:a. 6b. 12c. 9d. 16

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