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.
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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
π¨ β π©πͺ
ππ
π¨ β π
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
π β ππ΄ /ππ΅
π΄ β ππ΄π΄ /ππ /π
π΅ β ππ΅π΅ /ππ /ππ
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Published
Jan 9, 2025
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