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For ∑ = {a,b} , let us consider the regular language L = {x | x a2+3k or x = b10+12k, k ≥ 0}.
Which one of the following can be a pumping length (the constant guaranteed by the pumping lemma) for L?
Which one of the following can be a pumping length (the constant guaranteed by the pumping lemma) for L?
- a)5
- b)24
- c)9
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
For ∑ = {a,b} , let us consider the regular language L = {x | x a2...
The set x is consists of {a2 , a5 , a8 , a11........} here the pumping length is 3 i.e. to get the another string we can repeat the length 3.
The regular expression is aa(aaa)*
Or { b10 , b22 , b34 , b46 ...........}, here the pumping length is 12
The regular expression is b10 (bbbbbbbbbbbb)*
Pumping length can‟t be 5
Pumping length can‟t be 9, because it will generate 18 which is not multiple of 12
Pumping length can‟t be 3, since it will generate 15, which is not multiple of 12
Possible pumping length can be 24 since every repetition will be multiple of 3 and 12.
The regular expression is aa(aaa)*
Or { b10 , b22 , b34 , b46 ...........}, here the pumping length is 12
The regular expression is b10 (bbbbbbbbbbbb)*
Pumping length can‟t be 5
Pumping length can‟t be 9, because it will generate 18 which is not multiple of 12
Pumping length can‟t be 3, since it will generate 15, which is not multiple of 12
Possible pumping length can be 24 since every repetition will be multiple of 3 and 12.
Most Upvoted Answer
For ∑ = {a,b} , let us consider the regular language L = {x | x a2...
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Regular physical activity is essential for maintaining a healthy weight, reducing the risk of chronic diseases such as heart disease and diabetes, and improving overall mental health. Aim for at least 150 minutes of moderate-intensity aerobic activity or 75 minutes of vigorous-intensity aerobic activity per week, along with muscle-strengthening activities twice a week.
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Community Answer
For ∑ = {a,b} , let us consider the regular language L = {x | x a2...
There must be repeation (DFA then it repeats some states, and regular grammar repeats its nonterminal in derivation.) for all acceptable stings.
Therefore, minimum Pumping Length should be 11, because string with length 10
(w = b10) does not repeat anything, but string with length 11 (i.e., w = b11) will repeat states.
Therefore, minimum Pumping Length should be 11, because string with length 10
(w = b10) does not repeat anything, but string with length 11 (i.e., w = b11) will repeat states.
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For ∑ = {a,b} , let us consider the regular language L = {x | x a2+3kor x = b10+12k, k≥ 0}.Which one of the following can be a pumping length (the constant guaranteed by the pumping lemma) for L?a)5b)24c)9d)3Correct answer is option 'B'. Can you explain this answer?
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