3. True or false? And justify your answer. (a) 0* U 1* = {0, 1}* (b) 0*n1* = Ø

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3. True or false? And justify your answer.
(a) 0* U 1* = {0, 1}*
(b) 0* n1* = Ø
4. Prove by mathematical induction that (r*)" = (x")* for all n > 1.
5. Let E = {a,b}. For each of the following languages on E, find, if possible, two
strings r, y E E* such that r is a word in the given language, and y is not.
(c) {a, bb, ba}*
(d) (a* - b*) U (b* - a*)
6. Let E= Ø. How many different languages can be defined on E?
Transcribed Image Text:3. True or false? And justify your answer. (a) 0* U 1* = {0, 1}* (b) 0* n1* = Ø 4. Prove by mathematical induction that (r*)" = (x")* for all n > 1. 5. Let E = {a,b}. For each of the following languages on E, find, if possible, two strings r, y E E* such that r is a word in the given language, and y is not. (c) {a, bb, ba}* (d) (a* - b*) U (b* - a*) 6. Let E= Ø. How many different languages can be defined on E?
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