Practice Summary And References (8.7) - Uncomputable Functions - Discrete Mathematics

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6 sample questions

Question 1.
Define computable function.
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Think of it as something you can code.
Question 2.
Give an example of an uncomputable function.
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This often relates to whether a program finishes or keeps looping.
3Question 3.
What defines a computable function?
- A function without an algorithm
- A function with a corresponding program
- Any function irrespective of implementation
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Think about what it takes to compute!
4Question 4.
Is the Halting Problem computable?
- True
- False
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Consider the existence of a program that can solve it!
Question 5.
Can you describe a scenario in computer science where uncomputable functions might pose a significant challenge?
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Consider AI limitations in problem-solving.
Question 6.
Propose a real-world application where knowing about computability could impact development.
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Think about algorithms in the context of security and predictability.

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