Acceptance for Turing Machines is Undecidable, but Recognizable
Easy Theory
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Acceptance for Turing Machines is Undecidable, but Recognizable
59 085 просмотров · 5 лет назад
Easy Theory
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59 085 просмотров · 5 лет назад
Here we show that the A_TM problem is undecidable and recognizable, which is asking if there is a decider for whether an arbitrary Turing Machine accepts an arbitrary input. The proof is by contradiction and diagonalization.
What is a Turing Machine? It is a state machine that has a set of states, input, tape alphabet, a start state, exactly one accept state, and exactly one reject state. See • Turing Machines - what are they? + Formal ... for more details.
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