Classical and New Paradigms of Computation and their Complexity Hierarchies : Papers of the conference “Foundations of the Formal Sciences III” / edited by Benedikt Löwe, Boris Piwinger, Thoralf Räsch
(Trends in Logic ; 23)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Dordrecht : Springer Netherlands |
| 出版年 | 2004 |
| 本文言語 | 英語 |
| 大きさ | XIII, 260 p : online resource |
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| 内容注記 | Complexity hierarchies derived from reduction functions Quantum query algorithms and lower bounds Algebras of minimal rank: overview and recent developments Recent developments in iterated forcing theory Classification problems in algebra and topology Using easy optimization problems to solve hard ones On Sacks forcing and the Sacks property Supertask computation A refinement of Jensen's constructible hierarchy Effective Hausdorff dimension Axiomatizability of algebras of binary relations Forcing axioms and projective sets of reals Post's and other problems of supertasks of higher type |
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| 一般注記 | 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 |
| 著者標目 | Löwe, Benedikt editor Piwinger, Boris editor Räsch, Thoralf editor SpringerLink (Online service) |
| 件 名 | LCSH:Computer science LCSH:Computers LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Algorithms LCSH:Mathematical logic FREE:Computer Science FREE:Computer Science, general FREE:Theory of Computation FREE:Mathematical Logic and Foundations FREE:Math Applications in Computer Science FREE:Mathematics of Computing FREE:Algorithms |
| 分 類 | DC23:004 |
| 巻冊次 | ISBN:9781402027765 
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| ISBN | 9781402027765 |
| URL | http://dx.doi.org/10.1007/978-1-4020-2776-5 |
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