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Turing
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9:38
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Easy Theory
Why is the Halting Problem Undecidable?
Here we concern ourselves with the Halting Problem (called HALT_TM) which asks whether a given Turing Machine halts (accepts or rejects) a given input w. We show that this problem is undecidable (i.e., no algorithm exists that runs in a finite amount of time for it). The idea is to suppose that a decider exists for HALT_TM, and then to create a ...
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