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Important Questions on Automata Theory

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Which of the following conversion is not possible algorithmically?
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The set {anbn | n=1,2,3,!} can be generated by the CFG:

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For which of the following applications regular expressions can't be used?
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The FSM pictured in Fig. is a:

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The above machine:
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Pick the correct statements.The logic of the Pumping lemma is a good example of:
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The vernacular language English, if considered a formal language is a:
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Universal TM influenced the concept of: