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Title:
ALGORITHMIC RANDOMNESS AND MEASURES OF COMPLEXITY
Author: Barmpalias, George
Source: BULLETIN OF SYMBOLIC LOGIC
Issued Date: 2013
Volume: 19, Issue:3, Pages:318-350
Indexed Type: SCI
Department: Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100190, Peoples R China.
Abstract: We survey recent advances on the interface between computability theory and algorithmic randomness, with special attention on measures of relative complexity. We focus on (weak) reducibilities that measure (a) the initial segment complexity of reals and (b) the power of reals to compress strings, when they are used as oracles. The results are put into context and several connections are made with various central issues in modern algorithmic randomness and computability.
English Abstract: We survey recent advances on the interface between computability theory and algorithmic randomness, with special attention on measures of relative complexity. We focus on (weak) reducibilities that measure (a) the initial segment complexity of reals and (b) the power of reals to compress strings, when they are used as oracles. The results are put into context and several connections are made with various central issues in modern algorithmic randomness and computability.
Language: 英语
WOS ID: WOS:000324845300002
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/16914
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Barmpalias, George. ALGORITHMIC RANDOMNESS AND MEASURES OF COMPLEXITY[J]. BULLETIN OF SYMBOLIC LOGIC,2013-01-01,19(3):318-350.
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