Define GNF. Convert the following grammar into GNF: S → AB1 | 0, A → 00A | B, B → 1A1.
Understand the Problem
The question is asking to define Greibach Normal Form (GNF) and convert a given grammar into that form. GNF is a type of context-free grammar where the left-hand side of every production rule is a single non-terminal followed by a single terminal. The question requires transforming the provided production rules into this specific format.
Answer
Convert the grammar to GNF by reformatting rules to A → aα.
The given grammar can be converted to GNF by ensuring all production rules follow the format: A → aα, with 'a' being a terminal and 'α' being a string of non-terminals. However, the web search does not provide the full step-by-step conversion.
Answer for screen readers
The given grammar can be converted to GNF by ensuring all production rules follow the format: A → aα, with 'a' being a terminal and 'α' being a string of non-terminals. However, the web search does not provide the full step-by-step conversion.
More Information
Greibach Normal Form is a specific format for context-free grammar where each production has a single terminal at the beginning.
Tips
Avoid creating rules where a non-terminal directly leads to another non-terminal first, as that doesn't satisfy the GNF requirements.
Sources
- Converting Context Free Grammar to Greibach Normal Form - geeksforgeeks.org
- Convert the Grammar into GNF S→AB1|0 A→00A|B B→1A1 - EduRev - edurev.in
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