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Consider two languages, L1and L2:


L1= {an| n > = 0} and L2 = {bn | n > = 0}


Which of the following correctly represents L1⋅ L2, where ‘⋅’ is the concatenation operation?

  • a)
    {an bn | n > = 0}

  • b)
    {(ab)n| n > = 0}

  • c)
    {am bn| m = n, n > = 0}

  • d)
    {an bm | m = n, n > –1}

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n...
L1 . L2 will be equal to {an bm| m , n > = 0}, which is same as {an bm| m = n, n > –1}.
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Most Upvoted Answer
Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n...
L1= {an| n ≤ 5}
L2= {an| n > 5}

In other words, L1 consists of strings of 'a' followed by any number of 'a's from 0 to 5, while L2 consists of strings of 'a' followed by any number of 'a's greater than 5.

For example, L1 would include the strings 'a', 'aa', 'aaa', 'aaaa', and 'aaaaa', while L2 would include the strings 'aaaaaa', 'aaaaaaaa', 'aaaaaaaaa', and so on.

The two languages are different because L1 includes strings with a maximum of 5 'a's, while L2 includes strings with more than 5 'a's.
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Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n > = 0}Which of the following correctly represents L1⋅ L2, where ‘⋅’ is the concatenation operation?a){an bn | n > = 0}b){(ab)n| n > = 0}c){am bn| m = n, n > = 0}d){an bm | m = n, n > –1}Correct answer is option 'D'. Can you explain this answer?
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Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n > = 0}Which of the following correctly represents L1⋅ L2, where ‘⋅’ is the concatenation operation?a){an bn | n > = 0}b){(ab)n| n > = 0}c){am bn| m = n, n > = 0}d){an bm | m = n, n > –1}Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n > = 0}Which of the following correctly represents L1⋅ L2, where ‘⋅’ is the concatenation operation?a){an bn | n > = 0}b){(ab)n| n > = 0}c){am bn| m = n, n > = 0}d){an bm | m = n, n > –1}Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two languages, L1and L2:L1= {an| n > = 0} and L2 = {bn | n > = 0}Which of the following correctly represents L1⋅ L2, where ‘⋅’ is the concatenation operation?a){an bn | n > = 0}b){(ab)n| n > = 0}c){am bn| m = n, n > = 0}d){an bm | m = n, n > –1}Correct answer is option 'D'. Can you explain this answer?.
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