(1) (a) Let r, 1, and r, be regular expression. Find all the regular ones from the following expression: 2, r'-0. ((r*). r), i-, +½. (b) Given a regular expression i = a(ab)* +b°a*, r, = (b + a) * +a*, find L(;) and L(r,), the languages associated with 7i and r2, respective ly. (c) Find a regular expression r such that L(r) is the same as L= {b"ab",(ba)*: n, m2 0,h2 1}.
(1) (a) Let r, 1, and r, be regular expression. Find all the regular ones from the following expression: 2, r'-0. ((r*). r), i-, +½. (b) Given a regular expression i = a(ab)* +b°a*, r, = (b + a) * +a*, find L(;) and L(r,), the languages associated with 7i and r2, respective ly. (c) Find a regular expression r such that L(r) is the same as L= {b"ab",(ba)*: n, m2 0,h2 1}.
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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Step 1
a) λ, r*Φ, r1-r2+r3
b) L(r1) = {a(ab)n | n>=0} U {bman | m>0,n>0}
L(r2) = {(bnam)k | m,n,k>0} U {am | m>0}
c) r = b*ab*+(ba)+
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