Which of the following statement is true about regular grammar? Options : Regular grammar and context free grammar are the same entity All context free grammar are regular grammar but not vice versa All Regular grammar are context free but not vice versa All of above mentioned
Question
Which of the following statement is true about regular grammar?
Options : Regular grammar and context free grammar are the same entity All context free grammar are regular grammar but not vice versa All Regular grammar are context free but not vice versa All of above mentioned
Solution
The correct statement is: "All Regular grammar are context free but not vice versa".
Here's why:
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Regular grammar and context free grammar are not the same entity. They are two different types of formal grammar in the Chomsky hierarchy. Regular grammar is the simplest form, while context free grammar is more complex and can describe more languages.
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It's not true that all context free grammars are regular grammars. In fact, the opposite is true. All regular grammars are context free grammars, but not all context free grammars are regular. This is because regular grammars can only describe regular languages, which are a subset of the languages that can be described by context free grammars.
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Therefore, the statement "All Regular grammar are context free but not vice versa" is true. This means that every regular grammar can be described as a context free grammar, but there are some context free grammars that cannot be described as regular grammars.
So, the correct answer is "All Regular grammar are context free but not vice versa".
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