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Introduction to Circuit Complexity

A Uniform Approach

  • Heribert Vollmer

Table of contents

  1. Front Matter
    Pages I-XI
  2. Heribert Vollmer
    Pages 1-3
  3. Heribert Vollmer
    Pages 5-34
  4. Heribert Vollmer
    Pages 35-78
  5. Heribert Vollmer
    Pages 79-106
  6. Heribert Vollmer
    Pages 107-171
  7. Heribert Vollmer
    Pages 173-214
  8. Heribert Vollmer
    Pages 215-231
  9. Back Matter
    Pages 233-272

About this book

Introduction

This advanced textbook presents a broad and up-to-date view of the computational complexity theory of Boolean circuits. It combines the algorithmic and the computability-based approach, and includes extensive discussion of the literature to facilitate further study.
It begins with efficient Boolean circuits for problems with high practical relevance, e.g., arithmetic operations, sorting, and transitive closure, then compares the computational model of Boolean circuits with other models such as Turing machines and parallel machines. Examination of the complexity of specific problems leads to the definition of complexity classes. The theory of circuit complexity classes is then thoroughly developed, including the theory of lower bounds and advanced topics such as connections to algebraic structures and to finite model theory.

Keywords

Algorithmus Alphabet Berechnungskomplexität Berechnungsmodell Komplexitätsklassen Schaltkreis algorithms boolean circuits complexity complexity theory computability computational complexity computational methods linear algebra logic

Authors and affiliations

  • Heribert Vollmer
    • 1
  1. 1.Theoretische InformatikUniversität WürzburgWürzburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03927-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08398-3
  • Online ISBN 978-3-662-03927-4
  • Series Print ISSN 1862-4499
  • Buy this book on publisher's site