Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let G be a grammar. When the production in G ...
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Let G be a grammar. When the production in G satisfy certain restrictions, then G is said to be in ___________
- a)restricted form
- b)parsed form
- c)normal form
- d)all of the mentioned
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let G be a grammar. When the production in G satisfy certain restricti...
Understanding Normal Forms in Grammar
In formal language theory, grammars can be classified based on their structure and the restrictions placed on their production rules. When a grammar meets specific criteria, it is referred to as being in *normal form*.
Types of Normal Forms
- Chomsky Normal Form (CNF):
- All production rules are of the form A → BC or A → a, where A, B, and C are non-terminal symbols and a is a terminal symbol.
- Greibach Normal Form (GNF):
- All production rules are of the form A → aα, where A is a non-terminal, a is a terminal, and α is a string of non-terminals (possibly empty).
Importance of Normal Forms
- Simplification:
- Normal forms simplify the parsing process, making it easier to analyze or implement parsing algorithms.
- Universality:
- Any context-free grammar can be converted into a normal form, ensuring that properties of the grammar remain intact.
Applications
- Compiler Design:
- Normal forms are essential in parsing techniques used in compiler design, ensuring the correct interpretation of programming languages.
- Automata Theory:
- They play a crucial role in the theoretical aspects of automata and formal languages, enabling a clearer understanding of language recognition.
In summary, when the productions in a grammar satisfy specific restrictions, the grammar is said to be in *normal form*. This classification is pivotal in computer science, especially in the fields of programming languages and compiler construction.
In formal language theory, grammars can be classified based on their structure and the restrictions placed on their production rules. When a grammar meets specific criteria, it is referred to as being in *normal form*.
Types of Normal Forms
- Chomsky Normal Form (CNF):
- All production rules are of the form A → BC or A → a, where A, B, and C are non-terminal symbols and a is a terminal symbol.
- Greibach Normal Form (GNF):
- All production rules are of the form A → aα, where A is a non-terminal, a is a terminal, and α is a string of non-terminals (possibly empty).
Importance of Normal Forms
- Simplification:
- Normal forms simplify the parsing process, making it easier to analyze or implement parsing algorithms.
- Universality:
- Any context-free grammar can be converted into a normal form, ensuring that properties of the grammar remain intact.
Applications
- Compiler Design:
- Normal forms are essential in parsing techniques used in compiler design, ensuring the correct interpretation of programming languages.
- Automata Theory:
- They play a crucial role in the theoretical aspects of automata and formal languages, enabling a clearer understanding of language recognition.
In summary, when the productions in a grammar satisfy specific restrictions, the grammar is said to be in *normal form*. This classification is pivotal in computer science, especially in the fields of programming languages and compiler construction.
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Let G be a grammar. When the production in G satisfy certain restricti...
When the production in G satisfy certain restrictions, then G is said to be in ‘normal form’.
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