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Titlebook: Information and Randomness; An Algorithmic Persp Cristian Calude Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Chaitin Comple

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书目名称Information and Randomness
副标题An Algorithmic Persp
编辑Cristian Calude
视频video
丛书名称Monographs in Theoretical Computer Science. An EATCS Series
图书封面Titlebook: Information and Randomness; An Algorithmic Persp Cristian Calude Book 19941st edition Springer-Verlag Berlin Heidelberg 1994 Chaitin Comple
描述"Algorithmic information theory (AIT) is the result of putting Shannon‘s information theory and Turing‘s computability theory into a cocktail shaker and shaking vigorously", says G.J. Chaitin, one of the fathers of this theory of complexity and randomness, which is also known as Kolmogorov complexity. .It is relevant for logic (new light is shed on Gödel‘s incompleteness results), physics (chaotic motion), biology (how likely is life to appear and evolve?), and metaphysics (how ordered is the universe?). .This book, benefiting from the author‘s research and teaching experience in Algorithmic Information Theory (AIT), should help to make the detailed mathematical techniques of AIT accessible to a much wider audience.
出版日期Book 19941st edition
关键词Chaitin Complexity; Halting Probability; Kolmogorov complexity; Random String/Sequence; Shannon; algorith
版次1
doihttps://doi.org/10.1007/978-3-662-03049-3
isbn_ebook978-3-662-03049-3Series ISSN 1431-2654 Series E-ISSN 2193-2069
issn_series 1431-2654
copyrightSpringer-Verlag Berlin Heidelberg 1994
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1431-2654 appear and evolve?), and metaphysics (how ordered is the universe?). .This book, benefiting from the author‘s research and teaching experience in Algorithmic Information Theory (AIT), should help to make the detailed mathematical techniques of AIT accessible to a much wider audience.978-3-662-03049-3Series ISSN 1431-2654 Series E-ISSN 2193-2069
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Program Size,A way to measure the . of some text is to determine the size of the smallest string (code, input) from which it can be reproduced by some computer (decoder, interpreter). This idea has been independently formalized in a number of different ways by Solomonoff, Kolmogorov and Chaitin.
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