Advances in Computational Complexity Theory ( DIMACS - Series in Discrete Mathematics and Theoretical Computer Science )

Publication series :DIMACS - Series in Discrete Mathematics and Theoretical Computer Science

Author: Jin-Yi Cai  

Publisher: American Mathematical Society‎

Publication year: 2017

E-ISBN: 9781470439712

P-ISBN(Paperback): 9780821865972

Subject: TP301.5 Computational complexity theory

Keyword: 暂无分类

Language: ENG

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Advances in Computational Complexity Theory

Description

This collection of recent papers on computational complexity theory grew out of activities during a special year at DIMACS. With contributions by some of the leading experts in the field, this book is of lasting value in this fast-moving field, providing expositions not found elsewhere. Although aimed primarily at researchers in complexity theory and graduate students in mathematics or computer science, the book is accessible to anyone with an undergraduate education in mathematics or computer science. By touching on some of the major topics in complexity theory, this book sheds light on this burgeoning area of research.

Chapter

Title page

Contents

Foreword

Preface

Approximate counting with uniform constant depth circuits

On strong separations from 𝐴𝐶⁰

Parallel matching complexity of Ramsey’s theorem

On algorithms for simple stochastic games

Locally random reductions in interactive complexity theory

An application of game theoretic techniques to cryptography

Composition of the universal relation

Practical perfect cryptographic security

Fair games against an all-powerful adversary

Factoring integers and computing discrete logarithms via diophantine approximation

A new lower bound theorem for read only once branching programs and its applications

On the E-isomorphism problem

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