Question: Problem 2 . ( 6 points ) Consider the language formed by strings over the alphabet = { a , b } of even length

Problem 2.(6 points)
Consider the language formed by strings over the alphabet ={a,b} of even length whose two halves are equal, i.e.
L={x=ww|win{a,b}**}.
Prove that there is no finite automaton (FA) that can accept this language by showing that if there were such a FA, having n states, it would not satisfy the Pumping Lemma.
Problem 2 . ( 6 points ) Consider the language

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