24. Show that the grammarsandare not equivalent.S→ aSbbSa|SS|aSaSbbSala

Answered: Show that the grammars and 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

Section: Chapter Questions

Problem 1PE

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Question

24. Show that the grammars
and
are not equivalent.
S→ aSbbSa|SS|a
SaSbbSala

Expert Solution

Step 1

Let's start by analyzing the first grammar: S → aSbbSa | SS | a

We can see that this grammar generates strings that begin and end with an "a", with "b" characters in between. For example, the string "abbaa" can be generated as follows:

S → aSbbSa → aaSbbSaa → aabbaa

Now, let's analyze the second grammar: S → aSb | bSalA

This grammar generates strings that begin with a sequence of "a"s, followed by a sequence of "b"s, or a sequence of "b"s, followed by a sequence of "a"s. For example, the string "abab" can be generated as follows:

S → aSb → abSalb → abab

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