随机性是计算机科学的“原生”吗?
Is Randomness "Native" to Computer Science?
摘要:
我们调查柯尔莫哥洛夫的方法,通过柯尔莫哥洛夫复杂性理论的随机性的概念。Kolmogorov最初的动机是放弃信息的定量定义。在这个理论中,一个对象是随机的,因为它有很大的信息量。之后,我们提出了马丁-洛夫,Schnorr,Chaitin和莱文的部分工作,这些工作提供了从60年代到最近的各种理论中随机性的数学概念。
英文摘要:
We survey the Kolmogorov's approach to the notion of randomness through the Kolmogorov complexity theory. The original motivation of Kolmogorov was to give up a quantitative definition of information. In this theory, an object is randomness in the sense that it has a large information content. Afterwards, we present parts of the work of Martin-Lof, Schnorr, Chaitin and Levin which supply a mathematical notion of randomness throughout diverse theories from the the 60' up to recently.
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