Write a grammar for the language consisting of strings that have n copies of the letter a followed by one more number of copies of the letter b, where n > 0. For example, the strings abb, aaaabbbbb, and n00m1aaabbbbbbbbb are in the language but a, ab, ba, and aaabb are not.

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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Problem 13:
Write a grammar for the language consisting of strings that have
n copies of the letter a followed by one more number of copies of the
letter b, where n > 0. For example, the strings abb, aaaabbbbb, and
aaaaaaaabbbbbbbbb are in the language but a, ab, ba, and aaabb are not.
Transcribed Image Text:Problem 13: Write a grammar for the language consisting of strings that have n copies of the letter a followed by one more number of copies of the letter b, where n > 0. For example, the strings abb, aaaabbbbb, and aaaaaaaabbbbbbbbb are in the language but a, ab, ba, and aaabb are not.
Expert Solution
Step 1

Introduction of Context-Free Grammar:

In TOC(Theory of Computation), CFG(Context Free Grammar) uses a set of recursive rules to generate patterns of string and it uses 4 tuples G={V, T, P, S}, where V is a finite set of non-terminal symbols, T is a finite set of terminal symbols, P is a set of production rules, and S is the start symbol. 

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