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find the recursive definition for the set of all strings of c’s and d’s where all...

find the recursive definition for the set of all strings of c’s and d’s where all the strings have even lengths.

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Answer #1

Let S= set of all strings of c’s and d’s where all the strings have even lengths . Then the recursive defination of S is given by ,

Base Step :  

Recursive defination : If then .

As so x is of even length and are also length 2 two which is even and sum of two even nymber is even so are also even length strings .

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