Question: Decide in each case whether the given language is a CFL and prove your answer. a- L= {a n b m a m b n

Decide in each case whether the given language is a CFL and prove your answer.

a- L= {an bm am bn| m, n >= 0 }

b- L= {xayb | x, y {a,b}* and |x| = |y| }

c- L= {xcx | x {a,b}*}

d- L= {xyx | x, y {a,b}* and |x| = >= 1}

e- L={x {a,b}* | na(x) < nb(x) < 2na(x)}

f- L={x {a,b}* | na(x) = 10nb(x)}

g- L= the set of non-balanced strings of parentheses

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