Formal languages

Brzozowski derivative

In theoretical computer science, in particular in formal language theory, the Brzozowski derivative of a set of strings and a string is the set of all strings obtainable from a string in by cutting off the prefix , as illustrated in the figure. Formally: . It was introduced under various different names since the late 1950s.Today it is named after the computer scientist Janusz Brzozowski who investigated its properties and gave an algorithm to compute the derivative of a generalized regular expression. (Wikipedia).

Brzozowski derivative
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Related pages

Janusz Brzozowski (computer scientist) | Time complexity | Regular expression | Quotient of a formal language | Set (mathematics) | Infinite-tree automaton | Parsing | Tree (automata theory) | Theoretical computer science | Context-free language | Formal language | Deterministic finite automaton | Myhill–Nerode theorem | Earley parser | Algorithm | Tree (set theory) | Prefix (computer science) | Context-free grammar