Descriptive Set Theoretic Methods in Automata Theory

Decidability and Topological Complexity

  • Michał Skrzypczak

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9802)

Also part of the Theoretical Computer Science and General Issues book sub series (LNTCS, volume 9802)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Michał Skrzypczak
    Pages 1-26
  3. Subclasses of Regular Languages

    1. Front Matter
      Pages 27-27
    2. Michał Skrzypczak
      Pages 29-36
    3. Michał Skrzypczak
      Pages 37-43
    4. Michał Skrzypczak
      Pages 45-69
    5. Michał Skrzypczak
      Pages 71-89
  4. Thin Algebras

    1. Front Matter
      Pages 91-91
    2. Michał Skrzypczak
      Pages 93-119
    3. Michał Skrzypczak
      Pages 121-135
    4. Michał Skrzypczak
      Pages 137-156
  5. Extensions of Regular Languages

    1. Front Matter
      Pages 157-157
    2. Michał Skrzypczak
      Pages 159-171
    3. Michał Skrzypczak
      Pages 173-181
    4. Michał Skrzypczak
      Pages 205-206
  6. Back Matter
    Pages 207-211

About this book


The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology.

"…the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.


automata decidability descriptive complexity regular languages topological methods

Authors and affiliations

  • Michał Skrzypczak
    • 1
  1. 1.University of Warsaw WarsawPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2016
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science Computer Science (R0)
  • Print ISBN 978-3-662-52946-1
  • Online ISBN 978-3-662-52947-8
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site