Question: Let = {0, 1}. Define the function, F : Languages, as follows: (a) F() = and F(x) = {x} x . (b) F(w1 w2) =

Let = {0, 1}. Define the function, F : Languages, as follows:

(a) F() = and F(x) = {x} x .

(b) F(w1 w2) = F(w1)F(w2).

(c) F(w1 w2) = F(w1) F(w2).

(d) F(w 1 ) = F(w1) .

Use (a) through (d) to prove or disprove that

F(((0 1) 0)) = {0, 1} {0}

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