Answered: Let Q be the language of all…

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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Let Q be the language of all palindromes over {a, b} containing an equal number of a’s and b’s. Prove that Q is not context-free.

Expert Solution

Step 1: Introduction to context-free language:

Context-Free Language:

Formal languages that are produced using context-free grammar are known as context-free languages. Context-free languages are a subset of formal languages in the Chomsky hierarchy, which classifies formal grammars based on their generative power.
In a context-free language, the rules for generating strings allow for the recursive expansion of non-terminal symbols into other symbols (both terminal and non-terminal) without the need for any context or surrounding symbols. This means that the production rules are applied solely based on the non-terminal symbols present in the current string, regardless of their surrounding context.

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