Chomsky Normal Form (CNF) is a way to represent context-free grammars in a specific form that makes it easier to analyze and manipulate the grammar. A grammar is in Chomsky's Normal Form if every rule has one of the following two forms:
A → BC, where A, B, and C are non-terminal symbols.
A → a, where A is a non-terminal symbol and a is a terminal symbol.
In other words, every rule must either produce two non-terminal symbols or a single terminal symbol. Additionally, the start symbol must only appear on the left-hand side of a rule, and there can be no rules that produce the empty string.
Converting a context-free grammar to Chomsky Normal Form can be a useful step in various algorithms for parsing and manipulating the grammar. The conversion process typically involves adding new non-terminal symbols and rules to the grammar, but the resulting grammar will have a simpler structure that is easier to analyze.
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