New Property Testing book, by Arnab Bhattacharyya and Yuichi Yoshida

More great news: a new textbook on property testing, 📘 Property Testing: Problems and Techniques, by two experts in the field, Arnab Bhattacharyya and Yuichi Yoshida, is now available!

Property Testing: Problems and Techniques (Springer, 2022)

As the overview below outlines (from the book’s website), the book covers a wide range of topics, and should give anyone interested a great overview of scope, techniques, and results in testing.

This book introduces important results and techniques in property testing, where the goal is to design algorithms that decide whether their input satisfies a predetermined property in sublinear time, or even in constant time – that is, time is independent of the input size.

This book consists of three parts. The first part provides an introduction to the foundations of property testing. The second part studies the testing of specific properties on strings, graphs, functions, and constraint satisfaction problems. Vectors and matrices over real numbers are also covered. The third part is more advanced and explains general conditions, including full characterizations, under which properties are constant-query testable.

The first and second parts of the book are intended for first-year graduate students in computer science. They should also be accessible to undergraduate students with the adequate background. The third part can be used by researchers or ambitious graduate students who want to gain a deeper theoretical understanding of property testing.

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