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
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
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab5b3963-cec0-4b67-9eed-f655b22a1d2a%2F9f75f3cb-a029-45d1-a2fa-d7168352d303%2Fppuzgik_processed.png&w=3840&q=75)
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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