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you're given an DFA M=(Q, Σ, δ, q0, F). show how to construct the 5-tuple for...

you're given an DFA M=(Q, Σ, δ, q0, F). show how to construct the 5-tuple for a new NFA N with L(N)=L(M)⋃{ε}

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Answer #1

Below is the NFA that accepts L(M)⋃{ε}

N = (Q U {X}, Σ, δ U ((q0, ε), X), q0, {F, X})

  • Q U {X}: Have one more state and name it X
  • ((q0, ε), X): Have a transition from initial state q0 to X on ε
  • {F, X}: Make X also final state

Now we have an NFA that is changed from DFA to accept the given language.


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