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Brzozowski derivative

In theoretical computer science, particularly in formal language theory, the Brzozowski derivative u − 1 S {\displaystyle u^{-1}S} of a set S {\displaystyle S} of strings and a string u {\displaystyle u} is the set of all strings obtainable from a string in S {\displaystyle S} by cutting off the prefix u {\displaystyle u} . Formally:

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