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Show that if a language L C {a,b}* is recognised by some finite au- tomaton, then so is the language LR = {WR | W

Show that if a language L C {a,b}* is recognised by some finite au- tomaton, then so is the language LR = {WR | W E L}. (The notation wR means the reverse of string w, that is, the string where the symbols of w are in reverse order.)

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