emove chain rules from the following grammar. Your answer must include the CHAIN(S), CHAIN(A), CHAIN(B), and CHAIN(C). ? → ? | ? ? → ?

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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Question

Remove chain rules from the following grammar. Your
answer must include the CHAIN(S), CHAIN(A), CHAIN(B), and
CHAIN(C).
? → ? | ?
? → ?? | ? | ?
? → ?? | ?
? → ?? | ? | ?

 

**Removing Chain Rules from the Grammar**

In this exercise, we aim to eliminate chain rules from the given grammar. The solution must include the CHAIN(S), CHAIN(A), CHAIN(B), and CHAIN(C).

**Original Grammar:**
- \( S \to A \mid C \)
- \( A \to aA \mid a \mid B \)
- \( B \to bB \mid b \)
- \( C \to cC \mid c \mid B \)

**Explanation:**
- A **chain rule** in a grammar is a production rule where a non-terminal symbol is rewritten as a single non-terminal symbol.
- The process of removing chain rules involves identifying these simple substitution rules and adjusting the grammar accordingly to maintain the language's integrity.
Transcribed Image Text:**Removing Chain Rules from the Grammar** In this exercise, we aim to eliminate chain rules from the given grammar. The solution must include the CHAIN(S), CHAIN(A), CHAIN(B), and CHAIN(C). **Original Grammar:** - \( S \to A \mid C \) - \( A \to aA \mid a \mid B \) - \( B \to bB \mid b \) - \( C \to cC \mid c \mid B \) **Explanation:** - A **chain rule** in a grammar is a production rule where a non-terminal symbol is rewritten as a single non-terminal symbol. - The process of removing chain rules involves identifying these simple substitution rules and adjusting the grammar accordingly to maintain the language's integrity.
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