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
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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)
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Complexity hierarchies derived from reduction functions
Pages 1-14
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Quantum query algorithms and lower bounds
Pages 15-32
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Algebras of minimal rank: overview and recent developments
Pages 33-46
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Recent developments in iterated forcing theory
Pages 47-60
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Classification problems in algebra and topology
Pages 61-75
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Table of contents (13 chapters)
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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
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- 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
