4. Write a BNF grammar that describes an arbitrarily long string of the characters a, b, and c. The string can contain any number of occurrences of these three letters (including none) in any order. The strings "empty", a, accaa, abcabccba, and bbbbb are all valid members of this language.

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
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**BNF Grammar Exercise: Constructing Strings with Characters a, b, c**

**Problem Statement:**
Design a BNF (Backus-Naur Form) grammar that describes a string of arbitrary length composed of the characters 'a', 'b', and 'c'. The string may include these characters in any quantity, including zero occurrences (empty string), and in any sequence.

**Valid Examples:**
- "empty" (representing an empty string)
- "a"
- "accaa"
- "abcabccba"
- "bbbbb" 

These strings are all valid members of the specified language.
Transcribed Image Text:**BNF Grammar Exercise: Constructing Strings with Characters a, b, c** **Problem Statement:** Design a BNF (Backus-Naur Form) grammar that describes a string of arbitrary length composed of the characters 'a', 'b', and 'c'. The string may include these characters in any quantity, including zero occurrences (empty string), and in any sequence. **Valid Examples:** - "empty" (representing an empty string) - "a" - "accaa" - "abcabccba" - "bbbbb" These strings are all valid members of the specified language.
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