What is the computational complexity of the Halting Problem?
Asked In: BPSC TRE 3.0Options
- A. O(1)
- B. O(n)
- C. Not computable
- 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. Not computable
Detailed Explanation
- Halting Problem: Determines whether a given program or Turing Machine will eventually halt or run forever for a particular input.
- Alan Turing: Proved in 1936 that the general Halting Problem is undecidable.
- Not Computable: No algorithm can correctly solve the general Halting Problem for all possible program-input pairs.
- Exam Point: It is an undecidable problem, not an O(1) or O(n) complexity problem.