What is the main technique used by Alan Turing to prove the undecidability of the Halting Problem?
Options
- A. Binary Search
- B. Proof by contradiction using diagonalization
- C. Dynamic Programming
- D. More than one of the above
- E. None of the above
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Quiz Practice:
Correct Answer (Detailed Explanation is Below)
B. Proof by contradiction using diagonalization
Detailed Explanation
- Diagonalization: A mathematical technique used in computability theory.
- Proof Idea: Assume a hypothetical algorithm decides whether any program halts, then construct a program whose behavior contradicts that assumption.
- Conclusion: A general Halting Problem solver cannot exist.