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4. (EQDFA,REX) Consider the following computational problem: Given a DFA D and a regular ex- pression R, is the language recognized by D equal to

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4. (EQDFA,REX) Consider the following computational problem: Given a DFA D and a regular ex- pression R, is the language recognized by D equal to the language generated by R? (a) Formulate this problem as a language EQDFA,REX. (b) Show that EQDFA,REX is decidable. Hint: Following the examples in Sipser Chapter 4.1, you may assume that the procedures we've seen in class for converting back and forth between automata and regular expressions can be implemented on Turing machines. 4. (EQDFA,REX) Consider the following computational problem: Given a DFA D and a regular ex- pression R, is the language recognized by D equal to the language generated by R? (a) Formulate this problem as a language EQDFA,REX. (b) Show that EQDFA,REX is decidable. Hint: Following the examples in Sipser Chapter 4.1, you may assume that the procedures we've seen in class for converting back and forth between automata and regular expressions can be implemented on Turing machines

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