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.
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
Problem 1PE
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Follow the following
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.
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