3 Consider the following language K aSy x and y are in a, b) , and y is not a permutation of z) abs, asaaab and babaSaaab example strings not in K are abba, abbbaSabbba, and abbbaSbabab (a) Prove that the language K is not regular (b) Construct a context free grammar that generates the language K Briefly and precisely describe the s generated by each variable in the grammar 3 Consider the following language K aSy x and y are in a, b) , and y is not a permutation of z) abs, asaaab and babaSaaab example strings not in K are abba, abbbaSabbba, and abbbaSbabab (a) Prove that the language K is not regular (b) Construct a context free grammar that generates the language K Briefly and precisely describe the s generated by each variable in the grammar

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3  Consider the following language  K    aSy   x and y are in  a, b) , and y is not a permutation of z)  abs, asaaab and babaSaaab  example strings not in K are abba, abbbaSabbba, and abbbaSbabab (a) Prove that the language K is not regular  (b) Construct a context free grammar that generates the language K  Briefly and precisely describe the s generated by each variable in the grammar 3  Consider the following language  K    aSy   x and y are in  a, b) , and y is not a permutation of z)  abs, asaaab and babaSaaab  example strings not in K are abba, abbbaSabbba, and abbbaSbabab (a) Prove that the language K is not regular  (b) Construct a context free grammar that generates the language K  Briefly and precisely describe the s generated by each variable in the grammar

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Question: 3. Consider the following language: K = {aSy | x and y are in {a, b), and y is not a permutation of z). abs,

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