Select the correct alternative from the given choices. The CFG, G: A →B A B|B| ε, B →00 |ε. The

step 1 Starting from the given context -free grammar, CFG, and the question, we can convert it to Choms

Select the correct alternative from the given choices. The...

Select the correct alternative from the given choices.
The $\mathrm{CFG}, G: A \rightarrow B A B|B| \varepsilon, B \rightarrow 00 \mid \varepsilon$. The $\mathrm{CFG}$ is normalized using CNF. The obtained $G$ ', contains ________ rules.
(A) 11
(B) 14
(C) 12
(D) 13

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Key Concepts

Context-Free Grammar (CFG)

A context-free grammar is a formal grammar that consists of a set of production rules which describe all possible strings in a given formal language. Each production rule replaces a single nonterminal symbol with a string of terminal and/or nonterminal symbols. CFGs are widely used in programming language design and compilers, as they allow the definition of hierarchical syntactic structure.

Chomsky Normal Form (CNF)

Chomsky Normal Form is a way of simplifying the structure of context-free grammars. In CNF, every production rule is either of the form A ? BC, where A, B, and C are nonterminal symbols (with B and C not being the start symbol), or A ? a, where a is a terminal symbol. This form is particularly useful in proving theoretical properties about grammars and in designing parsing algorithms such as the CYK algorithm.

Grammar Conversion and Normalization Procedures

The process of converting a CFG into CNF involves several systematic steps, including the elimination of epsilon (empty string) productions, unit productions, and productions that include more than two nonterminals on the right-hand side. These transformation procedures ensure that the resulting grammar adheres to the stringent binary production requirements of CNF while preserving the language generated by the original grammar.

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