Suppose that you have a correct proof that the language (a"bcba" | ne N) is not regular that uses proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose that s, the string used in the proof is a"bcbam (where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part. We don't know exactly what x is, but there are some things we do know are possible and impossible. Which of the following statements are true? (select all that apply) O x could equal A O x could be all "a's O x could be just "b" O x could be just "c O x could include two different letters O x could include three different letters Question 5 Suppose that you have a correct proof that the language (a"bcba" | nE N] is not regular that uses proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose that s, the string used in the proof is a"bcbam (where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part. Suppose that y is k letters long and z is p letters long. What is the minimum length of x (you may enter a number, or an equation that is a function of k and/or p and/or m).

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Question 4
Suppose that you have a correct proof that the language (a"bcba" | ne N) is not regular that uses
proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose
that s, the string used in the proof is a"bcbam
(where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part.
We don't know exactly what x is, but there are some things we do know are possible and impossible.
Which of the following statements are true? (select all that apply)
O x could equal A
O x could be all "a's
O x could be just "b"
O x could be just "c"
O x could include two different letters
O x could include three different letters
Question 5
Suppose that you have a correct proof that the language (a"bcba" |ne NJ is not regular that uses
proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose
that s, the string used in the proof is ambcbam
(where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part.
Suppose that y is k letters long and z is p letters long. What is the minimum length of x (you may
enter a number, or an equation that is a function of k and/or p and/or m).
Transcribed Image Text:Question 4 Suppose that you have a correct proof that the language (a"bcba" | ne N) is not regular that uses proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose that s, the string used in the proof is a"bcbam (where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part. We don't know exactly what x is, but there are some things we do know are possible and impossible. Which of the following statements are true? (select all that apply) O x could equal A O x could be all "a's O x could be just "b" O x could be just "c" O x could include two different letters O x could include three different letters Question 5 Suppose that you have a correct proof that the language (a"bcba" |ne NJ is not regular that uses proof by contradiction using the pumping lemma style proof we discussed in class. Further suppose that s, the string used in the proof is ambcbam (where m is the number from the pumping lemma) and you correctly split s into an x, y, and z part. Suppose that y is k letters long and z is p letters long. What is the minimum length of x (you may enter a number, or an equation that is a function of k and/or p and/or m).
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