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R-> XRX | S S-> aTb | bTa T-> XTX | X | 2. X->a | b

R-> XRX | S S-> aTb | bTa T-> XTX | X | 2. X->a | b

Database System Concepts
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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The production rules of grammar are defined with the starting nonterminal given by the first rule.

 

The image displays a set of production rules for a context-free grammar. Here is the transcription of the grammar rules: 1. \( R \rightarrow XRX \, | \, S \) 2. \( S \rightarrow aTb \, | \, bTa \) 3. \( T \rightarrow XTX \, | \, X \, | \, \lambda \) 4. \( X \rightarrow a \, | \, b \) **Explanation:** - The grammar consists of four non-terminal symbols: \( R \), \( S \), \( T \), and \( X \). - There are two terminal symbols: \( a \) and \( b \). - The symbol \( \lambda \) represents the empty string. - The production rules define how the non-terminal symbols can be replaced by combinations of other non-terminals and terminals. This grammar likely generates a particular language over the alphabet \( \{a, b\} \). Each production rule offers various substitutions, guiding how strings in the language are formed.
Transcribed Image Text:The image displays a set of production rules for a context-free grammar. Here is the transcription of the grammar rules: 1. \( R \rightarrow XRX \, | \, S \) 2. \( S \rightarrow aTb \, | \, bTa \) 3. \( T \rightarrow XTX \, | \, X \, | \, \lambda \) 4. \( X \rightarrow a \, | \, b \) **Explanation:** - The grammar consists of four non-terminal symbols: \( R \), \( S \), \( T \), and \( X \). - There are two terminal symbols: \( a \) and \( b \). - The symbol \( \lambda \) represents the empty string. - The production rules define how the non-terminal symbols can be replaced by combinations of other non-terminals and terminals. This grammar likely generates a particular language over the alphabet \( \{a, b\} \). Each production rule offers various substitutions, guiding how strings in the language are formed.
e. Give three strings *not* in \( L(G) \). f. True or False: \( T \Rightarrow \text{aba} \).
Transcribed Image Text:e. Give three strings *not* in \( L(G) \). f. True or False: \( T \Rightarrow \text{aba} \).
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