Theory of Computation Quiz
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Questions and Answers

What is the theory of computation?

The theory of computation is the branch that deals with what problems can be solved on a model of computation, using an algorithm, how efficiently they can be solved or to what degree (e.g., approximate solutions versus precise ones).

How is the field of theory of computation divided?

The field is divided into three major branches: automata theory and formal languages, computability theory, and computational complexity theory.

Why do computer scientists work with a mathematical abstraction of computers?

Computer scientists work with a mathematical abstraction of computers called a model of computation in order to perform a rigorous study of computation.

What is the most commonly examined model of computation?

<p>The most commonly examined model of computation is the Turing machine.</p> Signup and view all the answers

Why do computer scientists study the Turing machine?

<p>Computer scientists study the Turing machine because it is simple to formulate, can be analyzed and used to prove results, and because it represents what many consider the most powerful possible 'reasonable' model of computation.</p> Signup and view all the answers

What are the three major branches of the theory of computation?

<p>Automata theory and formal languages, computability theory, and computational complexity theory.</p> Signup and view all the answers

What is the fundamental question that links the three major branches of the theory of computation?

<p>What are the fundamental capabilities and limitations of computers.</p> Signup and view all the answers

What is the most commonly examined mathematical abstraction of computers used in the study of computation?

<p>The Turing machine.</p> Signup and view all the answers

Why is the Turing machine studied by computer scientists?

<p>It is simple to formulate, can be analyzed and used to prove results, and represents a powerful possible model of computation.</p> Signup and view all the answers

What is the main focus of the theory of computation?

<p>To determine what problems can be solved on a model of computation, using an algorithm, and how efficiently they can be solved or to what degree.</p> Signup and view all the answers

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