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Which of the following problems about Turing machines are solvable, and which are undecidable? Explain your answers carefully. a. To determine, given a Turing machine M, a state q, and a string w, whether M ever reaches state q when started with input w from its initial state. b. To determine, given a Turing machine M and a symbol a, whether M ever writes the symbol a when started with the empty tape.

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Which of the following problems about Turing machines are solvable, and which are undecidable? Expla...

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