Read While You Wait - Get immediate ebook access, if available*, when you order a print book

Trends in Logic

Well-Quasi Orders in Computation, Logic, Language and Reasoning

A Unifying Concept of Proof Theory, Automata Theory, Formal Languages and Descriptive Set Theory

Editors: Schuster, Peter M., Seisenberger, Monika, Weiermann, Andreas (Eds.)

Free Preview
  • Introduces readers to a highly active branch of combinatorics
  • Unifies interdisciplinary areas between logic, mathematics and computer science
  • Highlights relevant work by top scholars from various fields
see more benefits

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-30229-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-30228-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
About this book

This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. 

The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.

About the authors

Peter Schuster is an Associate Professor of Mathematical Logic at the University of Verona. After completing both his doctorate and habilitation in mathematics at the University of Munich, he was a Lecturer at the University of Leeds and member of the Leeds Logic Group. Apart from constructive mathematics in general, his principal research interests are in the computational content of classical proofs in abstract algebra and related fields, in which maximum or minimum principles are invoked.
Monika Seisenberger is an Associate Professor of Computer Science at Swansea University. After completing a PhD in the Graduate Programme “Logic in Computer Science” at the LMU Munich she took up a position as research assistant at Swansea University, where she was subsequently appointed lecturer and later programme director. Her research focuses on logic, and on theorem proving and verification.
Andreas Weiermann is a Full Professor of Mathematics at Ghent University. After completing both his doctorate and habilitation in mathematics at the University of Münster, he held postdoctoral positions in Münster and Utrecht and became first an Associate Professor and later Full Professor in Ghent. His research interests include proof theory, theoretical computer science and discrete mathematics.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-030-30229-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-030-30228-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Well-Quasi Orders in Computation, Logic, Language and Reasoning
Book Subtitle
A Unifying Concept of Proof Theory, Automata Theory, Formal Languages and Descriptive Set Theory
Editors
  • Peter M. Schuster
  • Monika Seisenberger
  • Andreas Weiermann
Series Title
Trends in Logic
Series Volume
53
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-30229-0
DOI
10.1007/978-3-030-30229-0
Hardcover ISBN
978-3-030-30228-3
Series ISSN
1572-6126
Edition Number
1
Number of Pages
X, 391
Number of Illustrations
99 b/w illustrations, 4 illustrations in colour
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.