Which of the following is an example of an undecidable problem?
Options
- A. Checking whether a number is prime
- B. Sorting a list of integers
- C. Halting Problem
- D. More than one of the above
- E. None of the above
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Quiz Practice:
Correct Answer (Detailed Explanation is Below)
C. Halting Problem
Detailed Explanation
- Halting Problem: It is undecidable because no general algorithm can determine whether every arbitrary program halts on a given input.
- Primality Testing: Decidable and can be performed in polynomial time.
- Sorting: A decidable computational problem.
- Exam Point: Undecidable means no algorithm exists that solves every instance correctly and terminates.