1.

If L is a regular language over Σ = {a, b}, which one of the following languages is NOT regular?

A. L . LR = {xy | x ϵ L, yR ϵ L}
B. {wwR | w ϵ L}
C. Prefix (L) = {x ϵ ∑* | ∃x ϵ ∑* such that xy ϵ L}
D. Suffix (L) = {y ϵ ∑* | ∃x ϵ ∑* such that xy ϵ L}
Answer» C. Prefix (L) = {x ϵ ∑* | ∃x ϵ ∑* such that xy ϵ L}


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