Generate a context free grammer for the expression, your final answer should be in a similar form to the red circled example. **Title: Understanding Grammar for (a^n b^a)^*, Where n ≥ 2****Introduction:**In formal language theory, we often explore grammars that generate particular patterns of strings. One such pattern is (a^n b^a)^*, where n is greater than or equal to 2. Let's explore the rules and an example of how such a grammar can be constructed.**Grammar Rules:**1. **S → null | SS | aTa** - Start with S, where S can be replaced by nothing (null), two consecutive S's (SS), or a followed by T and another a (aTa).2. **T → aUa** - The non-terminal T can be further expanded into a followed by U and another a (aUa).3. **U → aUa | b** - U can be expanded into a followed by U and another a (aUa) or simply b.**Example Derivation:**We'll build a string using the production rules:1. Start: **S → SS**2. Apply S → SS: **S → SSS**3. Apply S → aTa: **S → aTaSS**4. Substitute aTa: **S → aTaaTaaTa**5. Make substitutions: - **T → aUa** - **U → b**After these substitutions, you arrive at the string:- **aaUaaaaUaaaaUaa**Finally, using the last rule:- U's are replaced to form: **aabaaaabaaabaa**The result is an example of a string that adheres to the grammar defined for (a^n b^a)^*, demonstrating the recursive structure and balance of a's and b's in the sequence.**Conclusion:**Through this example, we have constructed a string that matches the pattern specified by the grammar for (a^n b^a)^*. This illustrates how using a series of production rules can generate specific forms of strings in formal language theory. **Title: Generating a CFG for a Given Expression****Objective:**Learn to generate a Context-Free Grammar (CFG) for a specified expression.**Expression:**a* bⁿ aᵐ bᵐ cⁿ *Where n > 0 and m ≥ 0.***Instructions:**Generate a CFG that describes the expression where:- \(a^*\) denotes zero or more occurrences of 'a'.- \(b^n\) and \(c^n\) represent sequences where the number of 'b's and 'c's are equal and greater than zero.- \(a^m b^m\) indicates sequences of 'a's and 'b's where the number of 'a's equals the number of 'b's and can be zero or more.**Expectations:**Create rules that capture the structure of the expression using CFG notation, ensuring to follow the conditions specified for \(n\) and \(m\).

Given: Generate a CFG for the following expression: a*bhambmc Where n>0, m>=0

Answered: Generate a CFG for the following…

Engineering

Computer Science

Generate a CFG for the following expression: a*bambmc Where n>0, m>=0

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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