Given the context free grammar G=({S,A}. {0,1}, S, P), where P is given by: S-> A | B A -> 0A1 | 2 B -> OB11 | 2

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need help in automata, Please

Show the equivalent moves on the pushdown acceptor as a series of configuration moves leading to acceptance.

Given the context-free grammar G=({S, A}, {0, 1}, S, P), where P is given by the following production rules:

- \( S \rightarrow A \mid B \)
- \( A \rightarrow 0A1 \mid \lambda \)
- \( B \rightarrow 0B11 \mid \lambda \)

**Explanation:**

- **Non-terminals**: \( S, A, B \)
- **Terminals**: \( 0, 1 \)
- **Start symbol**: \( S \)
- **Production rules**: The rules indicate how each non-terminal can be replaced.
  - **S** can be replaced by either \( A \) or \( B \).
  - **A** can be replaced by a string starting with a '0', followed by another 'A', and ending with a '1', or it can be replaced by the empty string \( \lambda \).
  - **B** can be replaced by a string starting with a '0', followed by another 'B', and ending with "11", or it can be replaced by the empty string \( \lambda \).

This grammar defines a language that generates strings composed of balanced sequences of 0's and 1's, using the specified production rules.
Transcribed Image Text:Given the context-free grammar G=({S, A}, {0, 1}, S, P), where P is given by the following production rules: - \( S \rightarrow A \mid B \) - \( A \rightarrow 0A1 \mid \lambda \) - \( B \rightarrow 0B11 \mid \lambda \) **Explanation:** - **Non-terminals**: \( S, A, B \) - **Terminals**: \( 0, 1 \) - **Start symbol**: \( S \) - **Production rules**: The rules indicate how each non-terminal can be replaced. - **S** can be replaced by either \( A \) or \( B \). - **A** can be replaced by a string starting with a '0', followed by another 'A', and ending with a '1', or it can be replaced by the empty string \( \lambda \). - **B** can be replaced by a string starting with a '0', followed by another 'B', and ending with "11", or it can be replaced by the empty string \( \lambda \). This grammar defines a language that generates strings composed of balanced sequences of 0's and 1's, using the specified production rules.
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