Consider the following language over the alphabet Σ = {a, b} L = {w : nb(w) is even, na(w) is odd, and w does not contain the substring ba}  1. Design the minimal deterministic finite automata which recognizes L. You do not need to prove correctness nor minimality. 2. Provide regular expressions for each of the equivalence classes of ≡L. [Hint: Use your answer from 1. A conversion algorithm is not necessary.]

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 Consider the following language over the alphabet Σ = {a, b}

L = {w : nb(w) is even, na(w) is odd, and w does not contain the substring ba} 

1. Design the minimal deterministic finite automata which recognizes L. You do not need to prove correctness nor minimality.

2. Provide regular expressions for each of the equivalence classes of ≡L. [Hint: Use your answer from 1. A conversion algorithm is not necessary.] 

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