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1. Describe a Universal Turing Machine, and explain the significance of such a machine. 2. Explain...

1. Describe a Universal Turing Machine, and explain the significance of such a machine.

2. Explain the difference between countable and uncountable sets.

3. Explain the difference between recursive and recursively enumerable languages.

4. Describe the halting problem for Turing Machines and explain its significance to the field of Computer Science.

5. Is there a difference between the concepts of decidability and computability? If not, explain the concept. If so, explain the difference.

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