The following questions are related to regular expression and regular language: (i) Let r,, r2, r be regular expressions. Find all the regular ones from the following expressions: a·p, r³, r* · 0, (r*)), r + r2 – r, (4) +r + 12, n+r, ÷ r,, r*), (r, r2), {rn + r2}, a+¢ (ii) Let E= {a, b}. Given regular expressions r = a*b*, r' = ba*ab* + (ab)* (ba)* and Ir" = (a* + b)b(a + b)*,- nd L(r), L(r"), and L(r"), the languages defined by r, r', r", respectively. (iii) Let E = {a, b}. Given the language L = {aam b"b, (ba)*, bb: n, m 2 0 and h 2 1}, find the regular expression r such that L(r) = L.

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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The following questions are related to regular expression and regular language:
(i) Let r,, r2, r be regular expressions. Find all the regular ones from the following expressions:
a·p, r³, r* · 0, (r*)), r + r2 – r, (4) +r + 12, n+r, ÷ r,, r*), (r, r2), {rn + r2}, a+¢
(ii) Let E= {a, b}. Given regular expressions r = a*b", r' = ba* ab* + (ab)* (ba)* and
Ir" = (a* + b)bb(a + b)*,- nd L(r), Lr), and L(r"), the languages defined by r, r', r",
respectively.
(iii) Let Z = {a, b}. Given the language L = {aa" b"b, (ba)*, bb: n, m 2 0 and h 2 1}, find the
regular expression r such that L(r) = L.
Transcribed Image Text:The following questions are related to regular expression and regular language: (i) Let r,, r2, r be regular expressions. Find all the regular ones from the following expressions: a·p, r³, r* · 0, (r*)), r + r2 – r, (4) +r + 12, n+r, ÷ r,, r*), (r, r2), {rn + r2}, a+¢ (ii) Let E= {a, b}. Given regular expressions r = a*b", r' = ba* ab* + (ab)* (ba)* and Ir" = (a* + b)bb(a + b)*,- nd L(r), Lr), and L(r"), the languages defined by r, r', r", respectively. (iii) Let Z = {a, b}. Given the language L = {aa" b"b, (ba)*, bb: n, m 2 0 and h 2 1}, find the regular expression r such that L(r) = L.
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