Understanding Context-Free Grammar and Regular Languages
In the realm of formal language theory, grammars are classified based on their generative capabilities. One such classification is between context-free grammars (CFG) and regular grammars.
Regular Grammars
- Regular grammars are a subset of context-free grammars specifically designed to generate regular languages.
- These grammars utilize production rules that can either be:
- Right-linear: where all non-terminal symbols appear on the right side of the production.
- Left-linear: where non-terminal symbols are on the left side.
Characteristics of Regular Languages
- Regular languages can be recognized by finite automata, making them simpler to process.
- They are defined by regular expressions and have a limited structure, which is suitable for various applications like lexical analysis in compilers.
Context-Free Grammars
- Context-free grammars can generate a broader class of languages, known as context-free languages (CFLs).
- While all regular languages can be generated by context-free grammars, not all context-free languages are regular.
- CFGs allow for more complex production rules, such as those that can generate nested structures.
Conclusion
The statement that "The context-free grammar which generates a Regular Language is termed as Regular Grammar" is accurate because:
- Regular grammars are indeed a subset of context-free grammars.
- They are specifically designed to produce regular languages, characterized by their simple rules and structure.
- This distinction is fundamental in theoretical computer science and helps in understanding the hierarchy of languages.
Thus, the correct answer to the question is option 'B', Regular Grammar, underscoring the specific context in which these grammars operate.