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Let D = { w | w contains an even number of b s & an odd number of a s & does not contain

Let D

= {

|

w contains an even number of b

s & an odd number of a

s & does not contain the substring ba

} .

Give a DFA with five states that recognizes D

.

Hint: describe D more simply. Justify that the simpler

description defines the same language.

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