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Logic & Puzzles

A Turing machine halting without reaching an explicit 'HALT' state indicates a looping condition. Which mechanism determines if an arbitrary Turing machine will halt?

A)Church-Turing thesis verification
B)Rice's theorem properties analysis
C)Undecidability of the halting problem
D)Kleene's recursion theorem application

💡 Explanation

The undecidability of the halting problem states that no general algorithm can decide whether an arbitrary Turing machine will halt, because the halting problem is provably undecidable. Therefore, no single mechanism can universally determine halting, rather than specific cases analyzed by other theorems.

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