Which of the following statements about decidable and undecidable problems is correct?
Options
-
A.
Every undecidable problem belongs to P
-
B.
Every decidable problem must be NP-Complete
-
C.
Every decidable problem has an algorithm that halts on all valid inputs
-
D.
More than one of the above
-
E.
None of the above
Correct Answer (Detailed Explanation is Below)
C.
Every decidable problem has an algorithm that halts on all valid inputs
Detailed Explanation
- Decidable: A decision algorithm exists and terminates on every valid input.
- Undecidable: No such general decision algorithm exists.
- Important: Decidability and computational complexity are different concepts.
- A decidable problem may require more than polynomial time.
