Questions tagged [turing-machines]

This tag is suited for questions involving Turing machines. Not to be confused with finite state machines and finite automata.

954 questions
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$ E_{\text{TM}} = \{ \langle M \rangle \mid L(M) = \varnothing \} $ is undecidable.

In this proof, we need to convert the input from $ \langle M,w \rangle $ to $ M_{1} $ as $ E_{\text{TM}} $’s input is only a Turing Machine. However, I couldn’t understand the construction of $ M_{1} $, mainly I couldn't understand what “On input $…
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How to prove that One Way infinite tape Turing Machine is Turing Complete?

I have always worked in 2 way infinite tape and most probably I think that was the first represented as Turing Machine. How can I emulate One-way Turing Machine to Two way Turing Machine.
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Why does a Turing machine take $n^k$ steps for computing an input?

I was reading about Cook's Theorem for Turing machine. In its proof, it is said that the Turing machine would take at most $n^k$ steps (where $k$ is an integer and $k > 0$) to compute an input of length $n$. This is probably assuming that the Turing…
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Draw a Turing machine that recognizes $\{w \in\{0,1\}^*\,|\,w\text{ contains even number of 1's}\}$

Draw a Turing machine that recognizes the language $\{w \in \{0,1\}^*|w \text{ contains even number of 1's}\}$ This is where I am at:
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How to design a turing machine that recognizes any language?

here I have a problem. Design a turing machine that recognizes the language of all strings of even length over alphabet {a, b}. soln: Let turing machine is $Tm =(Q, \Sigma, \Gamma, \delta, q_0 , h)$ $\Sigma=\{a, b \}$ $\Gamma=\{ a, b ,\# \}$ $Q…
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