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> 0* a ba* b*a* (ε UØ)0 a(ab)* U(ab)*b 1. {e} 2. 0 3. {ww contains exactly one b} 4. {ww begins with a or ends with b} 5. {ww contains no substring ab}

> 0* a ba* b*a* (ε UØ)0 a(ab)* U(ab)*b 1. {e} 2. 0 3. {ww contains exactly one b} 4. {ww begins with a or ends with b} 5. {ww contains no substring ab}

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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Match the following languages over the alphabet = {a, b} with the corresponding regular expressions. < V 0* a ba* b*a* (ε U Ø)0 a(a Ub)* U(ab)*b 1. {e} 2. Ø 3. {ww contains exactly one b} 4. {ww begins with a or ends with b} 5. {ww contains no substring ab}
Transcribed Image Text:Match the following languages over the alphabet = {a, b} with the corresponding regular expressions. < V 0* a ba* b*a* (ε U Ø)0 a(a Ub)* U(ab)*b 1. {e} 2. Ø 3. {ww contains exactly one b} 4. {ww begins with a or ends with b} 5. {ww contains no substring ab}
Expert Solution
Step 1: Soution 1 and 2

Given that Σ = { a, b } as referenced in the question defines that the set is set of all alphabets a and b.


1. As referenced in the question 

∅ * indicates null with all the possibilities of combination of null . It is ∅ 

Answer ) 2. ∅


2. a* b a*

a* indicates a number of occurences of a which may be either a or any number of occurences of a .

so the string with start with any number of occurences of a and end with any number of occurences of a 

but contains a b .

Answer) 3 . { ω | ω contains exactly one b } 






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