Integer valued betting strategies and Turing degrees
文献类型：期刊论文
| 作者 | Barmpalias, G ; Downey, RG ; McInerney, M |
| 刊名 | JOURNAL OF COMPUTER AND SYSTEM SCIENCES
 |
| 出版日期 | 2015 |
| 卷号 | 81期号:7页码:1387-1412 |
| 关键词 | Martingales Algorithmic randomness Betting strategies Turing degrees |
| ISSN号 | 0022-0000 |
| 中文摘要 | Betting strategies are often expressed formally as martingales. A martingale is called integer-valued if each bet must be an integer value. Integer-valued strategies correspond to the fact that in most betting situations, there is a minimum amount that a player can bet. According to a well known paradigm, algorithmic randomness can be founded on the notion of betting strategies. A real X is called integer-valued random if no effective integer-valued martingale succeeds on X. It turns out that this notion of randomness has interesting interactions with genericity and the computably enumerable degrees. We investigate the computational power of the integer-valued random reals in terms of standard notions from computability theory. (C) 2015 Elsevier Inc. All rights reserved. |
| 英文摘要 | Betting strategies are often expressed formally as martingales. A martingale is called integer-valued if each bet must be an integer value. Integer-valued strategies correspond to the fact that in most betting situations, there is a minimum amount that a player can bet. According to a well known paradigm, algorithmic randomness can be founded on the notion of betting strategies. A real X is called integer-valued random if no effective integer-valued martingale succeeds on X. It turns out that this notion of randomness has interesting interactions with genericity and the computably enumerable degrees. We investigate the computational power of the integer-valued random reals in terms of standard notions from computability theory. (C) 2015 Elsevier Inc. All rights reserved. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000356644600018 |
| 公开日期 | 2016-12-13 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/17434]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Barmpalias, G,Downey, RG,McInerney, M. Integer valued betting strategies and Turing degrees[J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES,2015,81(7):1387-1412. |
| APA | Barmpalias, G,Downey, RG,&McInerney, M.(2015).Integer valued betting strategies and Turing degrees.JOURNAL OF COMPUTER AND SYSTEM SCIENCES,81(7),1387-1412. |
| MLA | Barmpalias, G,et al."Integer valued betting strategies and Turing degrees".JOURNAL OF COMPUTER AND SYSTEM SCIENCES 81.7(2015):1387-1412. |
入库方式： OAI收割
来源：软件研究所
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