Exam 12: Models of Computation

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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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The ____ states that if there exists an algorithm to do a symbol manipulation task, then there exists a Turing machine to do that task.

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

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It must be able to all of the following:
•Accept input.
•Store information in and retrieve it from memory.
•Take actions according to algorithm instructions; the choice of what action to take may depend on the present state of the computing agent, as well as on the input item presently being processed.
•Produce output.

What are four characteristics of the model of a physical or social phenomenon?

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State ____ is always the start-up state of the Turing machine.

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The Turing machine contains two separate units, one for input and one for output.

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Models can only give us information about existing phenomena.

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

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

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The term unary means that we will use ____ symbol(s).

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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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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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The bit inverter Turing machine should have two states._________________________

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A formal basis for mathematical proofs guarantees the presence of intuitive statements.

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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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Each individual Turing machine instruction describes an operation that is ____________________, requiring no additional explanation, and any Turing machine is able to carry out the operation described.

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A formal basis for proofs might allow for ____ theorem-proving.

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

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Describe in detail what a Turing machine includes.

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