Introduction to Theoretical Computer Science p Preface p.1 To the student p.2 To potential instructors p.3 Acknowledgements 0 Introduction 1 Mathematical Background 2 Computation and …

Theoretical Computer Science is a vast topic, branching out and touching upon many scientific and engineering disciplines. This book provides a very partial (and biased) sample of this area.

However, in both the theory and practice of computer science, it is important to maintain this distinction, and it is particularly important for us in this book.

Graphs Graphs are ubiquitous in Computer Science, and many other fields as well. They are used to model a variety of data types including social networks, scheduling constraints, road networks, deep …

From the theoretical computer science point of view, the crucial difference is that while Nash informally talks about exponential vs polynomial computation time, he does not mention the word “Turing …

The two’s complement representation of signed integers was suggested in von Neumann’s classic report (von Neumann, 1945) that detailed the design approaches for a stored-program computer, though …

Textbook on Theoretical Computer Science by Boaz Barak

The way we often use this in theoretical computer science is to argue that, for example, if there is a list of 100 bad events that can happen, and each one of them happens with probability at most 1 / 1 0 0 …

In this chapter, we extend our definition of computational tasks to consider functions with the unbounded domain of \ (\ {0,1\}^*\). We focus on the question of defining what tasks to compute, mostly leaving …

Textbook on Theoretical Computer Science by Boaz Barak