Question: Question 2 please, if you can, please answer 3 as well. 2. (10 points) An Easy Warm-Up 2. In this problem, we wish to prove

Question 2 please, if you can, please answer 3 as well.

Question 2 please, if you can, please answer 3 as well. 2.

2. (10 points) An Easy Warm-Up 2. In this problem, we wish to prove that the languages of LBAS are closed under complement. (a) Why doesn't just swapping final and non-final states work to prove this? (b) Prove the claimed result carefully. (c) Apply the proof from the previous part to show that ALLLBA is undecidable. 3. (10 points) Playing With Infinities. Prove that every infinite Turing-recognizable language has an infinite decidable subset

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