Which of the following statements are correct? Prove or give a counterexample.

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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Which of the following statements are correct?
Prove or give a counterexample.
A
ВСА
В
then
Bis
i) If
is regular (expression) and
regular.
ВСА
then
ii) If B
A
iii) If both
regular.
is regular and
A
is regular.
B
are regular, then
А — В.
is
and
iv) If
A
* is regular and
B
is not regular, then
AUB
is not regular.
V) If
A
is regular and
AUB
В
is not regular, then
is not regular.
A
AnB
vi) If 4 or
regular either.
Thank you in advance.
are not regular, then
is not
Transcribed Image Text:Which of the following statements are correct? Prove or give a counterexample. A ВСА В then Bis i) If is regular (expression) and regular. ВСА then ii) If B A iii) If both regular. is regular and A is regular. B are regular, then А — В. is and iv) If A * is regular and B is not regular, then AUB is not regular. V) If A is regular and AUB В is not regular, then is not regular. A AnB vi) If 4 or regular either. Thank you in advance. are not regular, then is not
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