Chomsky Normal Form (CNF) and Conversion of Context-Free Grammars (CFG)

An overview of Chomsky Normal Form (CNF), its significance in automata theory, and the process of converting context-free grammars (CFG) into CNF, including related concepts such as TOC and FLAT forms.

Chomsky Normal Form (CNF) and Conversion of Context-Free Grammars (CFG)
CSE ACADEMY
39.0K views • Jan 9, 2025
Chomsky Normal Form (CNF) and Conversion of Context-Free Grammars (CFG)

About this video

Chomsky Normal Form | CNF | Normal form of CFG | Conversion of CFG to CNF | TOC | FLAT | Automata

There are two normal form of CFG
-
1. Chomsky Normal Form (CNF)
2. Greibach Normal Form (GNF)
1.
Chomsky Normal Form (CNF):
A grammar is said to be in CNF, if the production of form
𝑨 → 𝑩𝑪
𝑜𝑟
𝑨 → 𝒂
where A,B and C are non-terminals and a is terminal
In order to convert CFG into CNF following steps should be
followed-
1. Removing null productions
2. Removing Unit productions
3. Obtain grammar in CNF
Example: Obtain equivalent CNF form for the given CFG
𝑆 → 𝑏𝐴 /𝑎𝐵
𝐴 → 𝑏𝐴𝐴 /𝑎𝑆 /𝑎
𝐵 → 𝑎𝐵𝐵 /𝑏𝑆 /𝑏𝑏

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8:59

Published

Jan 9, 2025

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