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Prove that language Lon {a, b}, L={ v . v = vR} is not regular.
Prove that language L on {a, b}, L={ v | v = vR} is not regular 4. (20 points) Prove that language Lon{a, b}, L={v | V = VR} is not regular.
Prove that language Lon{a,b}, L={ vv = vR} is not regular.
With Proper Steps and explanation Prove that language Lon {a, b}, L={v | V = VR} is not regular.
Prove that language L on {a, b}, L={ v | v = vR} is not regular use string ab^nab^na
Prove that language Lon {a, b}, L={ vv = v*} is not regular.
If L is a regular language, prove that the language {uv : u ∈L, v ∈LR} is also regular
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
Prove that for each regular language L the following language is regular: shift(L) = {uv | vu ∈ L}
Suppose that L is a regular language. Prove that the language p r e f i x (L )={w | x, wx L } is regular. (For example, if L = {abc, def}, prefix(L) = {?, a, ab, abc, d, de, def}.)