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Let A and B be languages. The difference of A and B is the language is A - B = 1x * | x A

Let A and B be languages.

The difference of A and B is the language is

A - B = 1x * | x A and x Bl.

The symmetric difference of A and B is the language,

AB = 1x * | x is in exactly one of A or Bl = (A - B) U (B - A).

(a) If A and B are regular, then A - B is also regular

(b)) If A and B are regular, then AB is also regular.

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