Advertisement

© 2017

Small Dynamic Complexity Classes

An Investigation into Dynamic Descriptive Complexity

  • Up-to-date results

  • Extensive study of the power of logics in dynamic settings

  • Document of the progress in dynamic complexity

Book

Part of the Lecture Notes in Computer Science book series (LNCS, volume 10110)

Also part of the Theoretical Computer Science and General Issues book sub series (LNTCS, volume 10110)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Thomas Zeume
    Pages 1-10
  3. Thomas Zeume
    Pages 139-142
  4. Back Matter
    Pages 143-149

About this book

Introduction

"Small Dynamic Complexity Classes" was awarded the E.W. Beth Dissertation Prize 2016 for outstanding dissertations in the fields of logic, language, and information. The thesis studies the foundations of query re-evaluation after modifying a database.  It explores the structure of small dynamic descriptive complexity classes and provides new methods for proving lower bounds in this dynamic context. One of the contributions to the former aspect helped to confirm the conjecture by Patnaik and Immerman (1997) that reachability can be maintained by first-order update formulas.

Keywords

computational science dynamic complexity theory formal methods regular languages theory of computing complexity classes algorithm analysis and problem complexity

Authors and affiliations

  1. 1.Fakultät für InformatikTU DortmundDortmundGermany

About the authors

Thomas Zeume received his PhD from the computer science department at the TU Dortmund University, advised by Thomas Schwentick. His research focuses on the connection of logic, complexity theory, and database theory. Thomas was awarded the E.W. Beth Dissertation Prize 2016 for outstanding dissertations in the fields of logic, language, and information and he received the Best Student Paper Award at the 2014 Mathematical Foundations of Computer Science conference.

Bibliographic information

Industry Sectors
Automotive
Electronics
IT & Software
Telecommunications
Aerospace
Engineering