Can you please help me with this problem because I am struggling and I don't know how to know to do this problem, can you please do this step by step and can you give a paragraph explanation explaining solving this problem and how you got the answer. The question that I need help with is 1.61 but you need 1.60 to answer the question of 1.61 which I added below. question that I need help with: 1.61 Consider the languages Ck defined in Problem 1.60. Prove that for each k, no DFA can recognize Ck with fewer than 2 k states. question of 1.60 1.60 Let Σ = {a, b}. For each k ≥ 1, let Ck be the language consisting of all strings that contain an a exactly k places from the right-hand end. Thus Ck = Σ∗ aΣ k−1 . Describe an NFA with k + 1 states that recognizes Ck in terms of both a state diagram and a formal description.
Can you please help me with this problem because I am struggling and I don't know how to know to do this problem, can you please do this step by step and can you give a paragraph explanation explaining solving this problem and how you got the answer. The question that I need help with is 1.61 but you need 1.60 to answer the question of 1.61 which I added below.
question that I need help with:
1.61 Consider the languages Ck defined in Problem 1.60. Prove that for each k, no DFA can recognize Ck with fewer than 2 k states.
question of 1.60
1.60 Let Σ = {a, b}. For each k ≥ 1, let Ck be the language consisting of all strings that contain an a exactly k places from the right-hand end. Thus Ck = Σ∗ aΣ k−1 . Describe an NFA with k + 1 states that recognizes Ck in terms of both a state diagram and a formal description.
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