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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 > –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 >...
Explanation:
To find the language L1⋅L2, we need to concatenate all the strings in L1 with all the strings in L2.

Language L1:
L1 consists of all strings of the form an, where n ≥ 0. This means that L1 contains the following strings:
L1 = {ε, a, aa, aaa, ...}

Language L2:
L2 consists of all strings of the form bn, where n ≥ 0. This means that L2 contains the following strings:
L2 = {ε, b, bb, bbb, ...}

Concatenation of L1 and L2:
To find L1⋅L2, we need to concatenate every string in L1 with every string in L2. This can be represented as:
L1⋅L2 = {anbn | n ≥ 0}

Answer:
Therefore, the correct representation of L1⋅L2 is {(anbn | n ≥ 0)}, which is option d.
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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 > –1}Correct answer is option 'D'. Can you explain this answer?
Question Description
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