Trends in Logic

Classical and New Paradigms of Computation and their Complexity Hierarchies

Papers of the conference "Foundations of the Formal Sciences III"

Editors: Löwe, Benedikt, Piwinger, Boris, Räsch, Thoralf (Eds.)

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About this book

The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity hierarchies at the same time as discussing algorithms and computational properties. A main focus of the volume is on some of the new paradigms of computation, among them Quantum Computing and Infinitary Computation. The papers in the volume are tied together by an introductory article describing abstract properties of complexity hierarchies.

This volume will be of great interest to both mathematical logicians and theoretical computer scientists, providing them with new insights into the various views of complexity and thus shedding new light on their own research.

Table of contents (13 chapters)

  • Complexity hierarchies derived from reduction functions

    Löwe, Benedikt

    Pages 1-14

  • Quantum query algorithms and lower bounds

    Ambainis, Andris

    Pages 15-32

  • Algebras of minimal rank: overview and recent developments

    Bläser, Markus

    Pages 33-46

  • Recent developments in iterated forcing theory

    Brendle, Jörg

    Pages 47-60

  • Classification problems in algebra and topology

    Camerlo, Riccardo

    Pages 61-75

Buy this book

eBook $229.00
price for USA (gross)
  • ISBN 978-1-4020-2776-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $299.00
price for USA
  • ISBN 978-1-4020-2775-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $299.00
price for USA
  • ISBN 978-90-481-6718-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Classical and New Paradigms of Computation and their Complexity Hierarchies
Book Subtitle
Papers of the conference "Foundations of the Formal Sciences III"
Editors
  • Benedikt Löwe
  • Boris Piwinger
  • Thoralf Räsch
Series Title
Trends in Logic
Series Volume
23
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-2776-5
DOI
10.1007/978-1-4020-2776-5
Hardcover ISBN
978-1-4020-2775-8
Softcover ISBN
978-90-481-6718-0
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XIII, 260
Topics