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Each time a Turing machine operation is done, four actions take place._________________________

A) True
B) False

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


A) algorithm
B) contradiction
C) thesis
D) 5-tuple

E) All of the above
F) None of the above

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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.

A) True
B) False

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Turing machines define the limits of ____, which is what can be done by symbol manipulation algorithms.


A) computability
B) extensibility
C) compatibility
D) correspondence

E) B) and C)
F) All of the above

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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.

A) True
B) False

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

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A Turing machine cannot produce output.

A) True
B) False

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


A) a program can be written to decide whether any given program run on any given input will produce some specific output
B) a program can be written to decide whether any two programs are equivalent
C) a program can be written to decide whether any given program always stops eventually, no matter what the input
D) no program can be written to decide whether any given program run on any given input will ever produce some specific output

E) B) and D)
F) B) and C)

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The ____ thesis can never be proved because the definition of an algorithm is descriptive, not mathematical.


A) Church-Zimmerman
B) Church-Turing
C) Church-Alan
D) Alan-Zimmerman

E) A) and C)
F) B) and D)

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A(n) ____ is a visual representation of a Turing machine algorithm.


A) parity bit
B) model
C) state diagram
D) incrementer

E) B) and D)
F) B) and C)

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In a state diagram, ____ are used to represent states.


A) arrows
B) circles
C) rectangles
D) triangles

E) A) and B)
F) All of the above

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

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A Turing machine is different in scale f...

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The Turing machine must execute instructions in the order that the instructions are numbered.

A) True
B) False

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A Turing machine includes a(n) tape that extends infinitely in both directions._________________________

A) True
B) False

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

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•No program can be written to decide whe...

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

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Turing machines define the limits of com...

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

A) True
B) False

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It is important to note that unsolvable problems related to the halting problem are unsolvable because of their ____.


A) generality
B) complexity
C) specificity
D) simplicity

E) B) and D)
F) B) and C)

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

A) True
B) False

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


A) alphabet
B) input
C) output
D) halting state

E) A) and D)
F) C) and D)

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