Question 1

Explain how a Turing machine differs in scale from any real computing agent.

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Question 2

List three practical consequences arising from unsolvable programs related to the halting problem.

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Question 3

Discuss the ways in which a Turing machine does or does not satisfy the requirement that an algorithm be a well-ordered collection.

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Question 4

Describe in detail what a Turing machine includes.

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Question 5

According to its definition, what must an algorithm be or do?

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Question 6

Discuss at length the assertion that Turing machines define the limits of computability.

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Question 7

What do we require any computing agent to be able to do?

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Question 8

Given that we can make a comparison between two Turing machine algorithms for the same task, can we compare the efficiency of a Turing machine algorithm with one that runs on a "real" computer?

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Question 9

If we post a program and try to construct a Turing machine to solve it but are not successful, does this prove that no Turing machine exists? If not, why would prove this?

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Quiz 12: Models of Computation