Questions about proof of the existence of unsolvable problems:a. Describe in one sentence how we showed that there exist unsolvable problems.b. How did we prove that the number of C++ programs is countably infinite?c. To prove that 2{a}* is uncountably infinite, we presented an "algorithm" D that took as input a countably infinite list of languages over alphabet {a} and produced what as output?d. Why does the existence of algorithm D prove that 2{a}* is uncountably infinite?e. Suppose the first three languages in the input list to algorithm D are the following: The set of even-length strings over {a}{aa, aaa, aaaa}The set of odd-length strings over {a} Applying the standard diagonalization algorithm D, consider the strings below. Which strings below will be in D(L[])? Which strings are the ones that you do not have enough information to determine if they are in D(L[]) or not?/\ a aa aaa aaaa

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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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Questions about proof of the existence of unsolvable problems:
a. Describe in one sentence how we showed that there exist unsolvable problems.
b. How did we prove that the number of C++ programs is countably infinite?
c. To prove that 2^{^a^}* is uncountably infinite, we presented an "algorithm" D that took as input a countably infinite list of languages over alphabet {a} and produced what as output?
d. Why does the existence of algorithm D prove that 2^{^a^}* is uncountably infinite?
e. Suppose the first three languages in the input list to algorithm D are the following:

The set of even-length strings over {a}
{aa, aaa, aaaa}
The set of odd-length strings over {a}

Applying the standard diagonalization algorithm D, consider the strings below. Which strings below will be in D(L[])? Which strings are the ones that you do not have enough information to determine if they are in D(L[]) or not?

/\ a aa aaa aaaa

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