Limits of Computation

From a Programming Perspective

Nonfiction, Science & Nature, Mathematics, Applied, Computers, General Computing, Programming
Cover of the book Limits of Computation by Bernhard Reus, Springer International Publishing
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Author: Bernhard Reus ISBN: 9783319278896
Publisher: Springer International Publishing Publication: March 25, 2016
Imprint: Springer Language: English
Author: Bernhard Reus
ISBN: 9783319278896
Publisher: Springer International Publishing
Publication: March 25, 2016
Imprint: Springer
Language: English

This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time complexity, including the Halting Problem, Rice's Theorem, Kleene's Recursion Theorem, the Church-Turing Thesis, Hierarchy Theorems, and Cook-Levin's Theorem. Each chapter contains classroom-tested material, including examples and exercises. Links between adjacent chapters provide a coherent narrative.

Fundamental results are explained lucidly by means of programs written in a simple, high-level imperative programming language, which only requires basic mathematical knowledge. Throughout the book, the impact of the presented results on the entire field of computer science is emphasised. Examples range from program analysis to networking, from database programming to popular games and puzzles.  Numerous biographical footnotes about the famous scientists who developed the subject are also included.

"Limits of Computation" offers a thorough, yet accessible, introduction to computability and complexity for the computer science student of the 21st century. 

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This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time complexity, including the Halting Problem, Rice's Theorem, Kleene's Recursion Theorem, the Church-Turing Thesis, Hierarchy Theorems, and Cook-Levin's Theorem. Each chapter contains classroom-tested material, including examples and exercises. Links between adjacent chapters provide a coherent narrative.

Fundamental results are explained lucidly by means of programs written in a simple, high-level imperative programming language, which only requires basic mathematical knowledge. Throughout the book, the impact of the presented results on the entire field of computer science is emphasised. Examples range from program analysis to networking, from database programming to popular games and puzzles.  Numerous biographical footnotes about the famous scientists who developed the subject are also included.

"Limits of Computation" offers a thorough, yet accessible, introduction to computability and complexity for the computer science student of the 21st century. 

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