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(3) Give a grammar G= (V,E, S̟P), where V = {4,B,C},E = {a,b},S = A, P: A→ a4|bB,B → bC | aB.C → aB | aC | 2. (a) Is Ga regular grammar? Why? (b) Find an nfa which accepts the language L(G). (c) Find the regular expression r associated with the language accepted by the above nfa. (d) Find regular language L(7) from the above r.

(3) Give a grammar G= (V,E, S̟P), where V = {4,B,C},E = {a,b},S = A, P: A→ a4|bB,B → bC | aB.C → aB | aC | 2. (a) Is Ga regular grammar? Why? (b) Find an nfa which accepts the language L(G). (c) Find the regular expression r associated with the language accepted by the above nfa. (d) Find regular language L(7) from the above r.

Database System Concepts
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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(3) Give a grammar \( G = (V, \Sigma, S, P) \), where \( V = \{A, B, C\} \), \(\Sigma = \{a, b\} \), \( S = A \), \( P : A \rightarrow aA \mid bB, B \rightarrow bC \mid aB, C \rightarrow aB \mid aC \mid \lambda \). (a) Is \( G \) a regular grammar? Why? (b) Find an NFA which accepts the language \( L(G) \). (c) Find the regular expression \( r \) associated with the language accepted by the above NFA. (d) Find regular language \( L(r) \) from the above \( r \).
Transcribed Image Text:(3) Give a grammar \( G = (V, \Sigma, S, P) \), where \( V = \{A, B, C\} \), \(\Sigma = \{a, b\} \), \( S = A \), \( P : A \rightarrow aA \mid bB, B \rightarrow bC \mid aB, C \rightarrow aB \mid aC \mid \lambda \). (a) Is \( G \) a regular grammar? Why? (b) Find an NFA which accepts the language \( L(G) \). (c) Find the regular expression \( r \) associated with the language accepted by the above NFA. (d) Find regular language \( L(r) \) from the above \( r \).
Expert Solution
Step 1

In this question, we are given a grammar and we have to check whether this grammar is regular grammar or not.

Also we have to draw nfa and write the regular expression if given grammar is regular.

Regular grammar is type 3 grammar which is a strict grammar in Chomsky hierarchy.

 

*Multiple Sub- parts*

*as per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost other parts in next question.*

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