Prove that the following language is not regular: L = { w | w ∈ {a,b,c,d,e}*...
Prove that the following language is not regular: L = { w | w ∈ {a,b,c,d,e}* and w = wr}. So L is a palindrome made up of the letters a, b, c, d, and e.
Homework Answers
To prove that the following language is not regular I will use pumping lemma.
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Prove that the following language is not regular: L = { w | w ∈
{a,b,c,d,e}*...
Let ?= (a, b). The Language L = {w E ?. : na(w) < na(w)) is...
Let ?= (a, b). The Language L = {w E ?. : na(w) < na(w)) is not regular. (Note: na(w) and nu(w) are the number of a's and 's in tw, respectively.) To show this language is not regular, suppose you are given p. You now have complete choice of w. So choose wa+1, Of course you see how this satisfies the requirements of words in the language. Now, answer the following: (a) What is the largest value of lryl?...
Suppose that L is a regular language. Prove that the language p r e f i...
Suppose that L is a regular language. Prove that the language p
r e f i x (L )={w |
x, wx
L } is regular. (For example, if L = {abc, def}, prefix(L) = {?,
a, ab, abc, d, de, def}.)
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at...
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at least 3 a's and no more than 3 b's} 2. Let acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E ', let W denote the string w with the...
Prove that for each regular language L the following language is regular: shift(L) = {uv |...
Prove that for each regular language L the following language is regular: shift(L) = {uv | vu ∈ L}
Prove the following language is not regular (you may use pumping lemma and the closure of...
Prove the following language is not regular (you may use pumping lemma and the closure of the class of regular languages under union, intersection, and complement.): (w | w ∈ {0,1}* is not a palindrome} Please show work/explain. Thanks.
Prove that language L on {a, b}, L={ v | v = vR} is not regular...
Prove that language L on {a, b}, L={ v | v = vR} is not
regular
4. (20 points) Prove that language Lon{a, b}, L={v | V = VR} is not regular.
Let L be a regular language on sigma = {a, b, d, e}. Let L' be...
Let L be a regular language on sigma = {a, b, d, e}. Let L' be the set of strings in L that contain the substring aab. Show that L' is a regular language.
2. If L is a regular language, prove that the language 11 = { uv/ u...
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
Prove that language L on {a, b}, L={ v | v = vR} is not regular...
Prove that language L on {a, b}, L={ v | v = vR} is not regular use string ab^nab^na
Prove that language Lon {a, b}, L={ vv = v*} is not regular.
Prove that language Lon {a, b}, L={ vv = v*} is not regular.
Let ?= (a, b). The Language L = {w E ?. : na(w) < na(w)) is not regular. (Note: na(w) and nu(w) are the number of a's and 's in tw, respectively.) To show this language is not regular, suppose you are given p. You now have complete choice of w. So choose wa+1, Of course you see how this satisfies the requirements of words in the language. Now, answer the following: (a) What is the largest value of lryl?...
Suppose that L is a regular language. Prove that the language p
r e f i x (L )={w |
x, wx
L } is regular. (For example, if L = {abc, def}, prefix(L) = {?,
a, ab, abc, d, de, def}.)
1. Construct a DFSM to accept the language: L = {w € {a,b}*: w contains at least 3 a's and no more than 3 b's} 2. Let acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E ', let W denote the string w with the...
Prove that language L on {a, b}, L={ v | v = vR} is not
regular
4. (20 points) Prove that language Lon{a, b}, L={v | V = VR} is not regular.
Let L be a regular language on sigma = {a, b, d, e}. Let L' be the set of strings in L that contain the substring aab. Show that L' is a regular language.
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
Prove that language Lon {a, b}, L={ vv = v*} is not regular.
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