Please answer True or False on the following: 1. Let L = { w ^* | w = w^R }, whe

Question

Please answer True or False on the following:

1. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = aababbbabb. Is w L^* ? (that is, is w an element of the Kleene closure of L?)

2. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = . Is w L^* ? (that is, is w an element of the Kleene closure of L?)

3. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = ab. Is w L^* ? (that is, is w an element of the Kleene closure of L?)

4. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = aababaa. Is w L^* ? (that is, is w an element of the Kleene closure of L?)

5. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = ababbabbbaa. Is w L^* ? (that is, is w an element of the Kleene closure of L?)

Explanation / Answer

1. Let L = { w ^* | w = w^R }, where = {a, b}. In other words, L is the set of all palindromes (including the empty string). A palindrome is a string that reads the same from left-to-right as from right-to-left. Let w = aababbbabb. Is w L^* ? (that is, is w an element of the Kleene closure of L?)

-- >True

2. True

3. False

4. True

5. False

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