IV) Consider the NFA below start a b 5 6 8 b 9 b 10

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
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IV) Consider the NFA below
start
0
(i)
(ii)
2.
4
a
b
3
5
2
6
a
In the construction process while converting to a DFA, do not forget to account for the
lambda transitions.
8
Give a complete equivalent description of the DFA.
Convert the above to a minimal DFA.
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}
0.40
9
10
Transcribed Image Text:IV) Consider the NFA below start 0 (i) (ii) 2. 4 a b 3 5 2 6 a In the construction process while converting to a DFA, do not forget to account for the lambda transitions. 8 Give a complete equivalent description of the DFA. Convert the above to a minimal DFA. 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} 0.40 9 10
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