Bounded Queries in Recursion Theory / by William I. Gasarch, Georgia A. Martin
(Progress in Computer Science and Applied Logic ; 16)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
| 出版年 | 1999 |
| 本文言語 | 英語 |
| 大きさ | XIII, 353 p : online resource |
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| 内容注記 | A: Getting Your Feet Wet 1 Basic Concepts 2 Bounded Queries and the Halting Set 3 Definitions and Questions B: The Complexity of Functions 4 The Complexity of CnA 5 #nA and Other Functions C: The Complexity of Sets 6 The Complexity of ODDnA and MODmnA 7 Q Versus QC 8 Separating and Collapsing Classes D: Miscellaneous 9 Nondeterministic Complexity 10 The Literature on Bounded Queries References |
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| 一般注記 | One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function |
| 著者標目 | *Gasarch, William I. author Martin, Georgia A. author SpringerLink (Online service) |
| 件 名 | LCSH:Computer science LCSH:Computers LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Operator theory LCSH:Applied mathematics LCSH:Engineering mathematics LCSH:Computer mathematics FREE:Computer Science FREE:Math Applications in Computer Science FREE:Operator Theory FREE:Theory of Computation FREE:Discrete Mathematics in Computer Science FREE:Computational Mathematics and Numerical Analysis FREE:Applications of Mathematics |
| 分 類 | DC23:004.0151 |
| 巻冊次 | ISBN:9781461206354 
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| ISBN | 9781461206354 |
| URL | http://dx.doi.org/10.1007/978-1-4612-0635-4 |
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