A Strange Application of Kolmogorov Complexity
نویسندگان
چکیده
منابع مشابه
Kolmogorov Complexity: a survey
What follows is a survey of the field of Kolmogorov complexity. Kolmogorov complexity, named after the mathematician Andrej Nikolaevič Kolmogorov, is a measure of the algorithmic complexity of a certain object (represented as a string of symbols) in terms of how hard it is to describe it. This measure dispenses with the need to know the probability distribution that rules a certain object (in g...
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Kolmogorov complexity, which is also called algorithmic (descriptive) complexity is an object, such as a piece of text, to measure the computational resources needed, which are mostly the length of the shortest binary program to specify an object. Strings whose Kolmogorov complexity is small relative to the string’s size are not considered to be complex and easy to use a short program to specif...
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The notion of Kolmogorov complexity (=the minimal length of a program that generates some object) is often useful as a kind of language that allows us to reformulate some notions and therefore provide new intuition. In this survey we provide (with minimal comments) many different examples where notions and statements that involve Kolmogorov complexity are compared with their counterparts not in...
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The paper [Harry Buhrman, Michal Koucký, Nikolay Vereshchagin. Randomized Individual Communication Complexity. IEEE Conference on Computational Complexity 2008: 321-331] considered communication complexity of the following problem. Alice has a binary string x and Bob a binary string y, both of length n, and they want to compute or approximate Kolmogorov complexity C(x|y) of x conditional to y. ...
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 1998
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s002240000038