Computational Complexity: A Modern Approach
Arora,Sanjeev
Computational Complexity: A Modern Approach - New Delhi Cambridge University Press 2021 - xxiv,579 P
0 Notational conventions
PART ONE BASIC COMPLEXITY CLASSES
PART TWO LOWER BOUNDS FOR CONCRETE COMPUTATIONAL MODELS
PART THREE ADVANCED TOPICS
Appendix: Mathematical background
Hints and selected exercises
Main theorems and definitions
Bibliography
Index
Complexity class
This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.
9781316612156 (PB)
Computational complexity
511.352 / ARO
Computational Complexity: A Modern Approach - New Delhi Cambridge University Press 2021 - xxiv,579 P
0 Notational conventions
PART ONE BASIC COMPLEXITY CLASSES
PART TWO LOWER BOUNDS FOR CONCRETE COMPUTATIONAL MODELS
PART THREE ADVANCED TOPICS
Appendix: Mathematical background
Hints and selected exercises
Main theorems and definitions
Bibliography
Index
Complexity class
This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set. The book starts with a broad introduction to the field and progresses to advanced results. Contents include: definition of Turing machines and basic time and space complexity classes, probabilistic algorithms, interactive proofs, cryptography, quantum computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits, proof complexity), average-case complexity and hardness amplification, derandomization and pseudorandom constructions, and the PCP theorem.
9781316612156 (PB)
Computational complexity
511.352 / ARO