Follow the following algorithm to transform a Regular Expression into a Finite Automaton. Start by placing the regular expression on the edge between a start and final state:  Apply the following rules to obtain a finite automaton until all edges are labeled with either a letter or A (A-transition is the same as e-transition). (state i and state j could be the same state) Use the above algorithm to construct an NFA for each of the following regular expressions over {a, b}.  (a + b)* (a* + b*)* (a*b*)* Do the above three regular expressions describe the same language? Explain your answer.

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
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Follow the following algorithm to transform a Regular Expression into a Finite Automaton.

Start by placing the regular expression on the edge between a start and final state: 

Apply the following rules to obtain a finite automaton until all edges are labeled with either a letter or A (A-transition is the same as e-transition). (state i and state j could be the same state)

Use the above algorithm to construct an NFA for each of the following regular expressions over {a, b}. 

  • (a + b)*
  • (a* + b*)*
  • (a*b*)*

Do the above three regular expressions describe the same language? Explain your answer.

i
i
R+S
RS
R*
J
J
J
transforms to
transforms to
transforms to
R
A
R
S
O
R
Das
A
O
Transcribed Image Text:i i R+S RS R* J J J transforms to transforms to transforms to R A R S O R Das A O
Start
O
Regular expression
Transcribed Image Text:Start O Regular expression
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