Algorithmic Information Theory
暫譯: 算法資訊理論
Gregory. J. Chaitin
- 出版商: Cambridge
- 出版日期: 2004-12-02
- 售價: $1,050
- 貴賓價: 9.8 折 $1,029
- 語言: 英文
- 頁數: 192
- 裝訂: Paperback
- ISBN: 0521616042
- ISBN-13: 9780521616041
-
相關分類:
Algorithms-data-structures
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商品描述
Description:
Chaitin, the inventor of algorithmic information theory, presents in this book the strongest possible version of Gödel's incompleteness theorem, using an information theoretic approach based on the size of computer programs. One half of the book is concerned with studying the halting probability of a universal computer if its program is chosen by tossing a coin. The other half is concerned with encoding the halting probability as an algebraic equation in integers, a so-called exponential diophantine equation.
商品描述(中文翻譯)
**描述：**
Chaitin，算法資訊理論的發明者，在本書中提出了哥德爾不完全性定理的最強版本，採用基於電腦程式大小的資訊理論方法。書的一半專注於研究如果通過擲硬幣選擇程式，則通用電腦的停機概率。另一半則關注將停機概率編碼為整數的代數方程，這是一種所謂的指數丟番圖方程。
