Answered: In the construction process while…

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

In the construction process while converting to a DFA, do not forget to account for the lambda transitions.
For example, the first step is to identify the initial state, say A
A = {0} is not correct as the lambda transitions enable the starting to be 1. You can make a transition from 0 to 1 on lambda without scanning any symbol. Similarly, you can transition to 2,3,7.

So the starting state of the DFA = {0, 1, 2, 4, 7}
The next step is to define transitions from A, say A to B on symbol a.
Check that B ={1,2,3,4,6,7,8}

1. Give a complete equivalent description of the DFA

2. Convert the NFA to a minimal DFA.

Consider the NFA below
a
2
3
start
b
a
1
6
7
8.
9
10
4
5 ) 2
b

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