Question: Write {0, 1} for nN{0, 1}n. Elements of {0, 1} are called words and subsets of {0, 1} are called formal languages (over the two-element

Write {0, 1} for nN{0, 1}n. Elements of {0, 1} are called words and subsets of {0, 1} are called formal languages (over the two-element alphabet {0, 1}). Write for the empty word (of length 0). Consider the function f : P ({0, 1} ) P({0, 1}) defined as follows: f(X) = X {w01 : w X} {} Find the least fixed point of f on P({0,1}) ordered by inclu- sion. Justify your answer.

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