Question: Show that the following languages are decidable. a. { | F is a DFA and F accepts at least one string} b. { | F

Show that the following languages are decidable. a. { | F is a DFA and F accepts at least one string} b. { | F is a DFA and F accepts the empty string} c. { | R is a regular expression and R doesn't generate a specific string.} For this question, simply construct a Turing machine. You do not have to show that your machine is a decider for the language. Also assume that a Turing machine can construct DFA based on closures of regular languages and perform conversions among DFA, NFA, and regular expression. Note that for each of your Turing machine, you MUST explain why it demonstrates that the language is decidable (your machine is always halt and your machine is a decider for the language).

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