Exam 12: Models of Computation

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A Turing machine cannot produce output.

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A Turing machine ____ is a collection of instructions that allow a Turing machine to carry out a certain task.

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In any collection of Turing machine instructions, there can be two different instructions that both begin with the same current state and current symbol.

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

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An extra bit, called a(n) ____, can be attached to the end of a string of bits.

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A(n) ____ is a statement advanced for consideration and maintained by argument.

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A tape is used to hold the ____ to the Turing machine.

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The proof by ____ approach assumes that a specific Turing machine does exist and then shows that this assumption leads to an impossible situation.

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Although we can compare two Turing machine algorithms for the same task, we can't really compare the efficiency of a Turing machine algorithm with an algorithm that runs on a "real" computer.

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The symbols for a Turing machine must come from a finite set of symbols called the tape ____.

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The equation for the distance d that a moving vehicle travels - the product of rate r and time t - is considered to be a model.

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Unsolvable problems related to the halting problem have the following practical consequence: ____.

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Prototypes are an important way of studying many physical and social phenomena. _________________________

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A computing agent must be able to act in accordance with ____________________ instructions.

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The model of a phenomenon must capture the full functionality of the real thing.

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There is no limit to the amount of ____________________ available on a Turing machine.

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We assumed that there was a Turing machine that could solve the halting problem, and this assumption led to a(n) ____.

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In binary representation, any unsigned whole number n is encoded by a sequence of n + 1 1s. _________________________

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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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