Information, Randomness and Incompleteness - Papers on Algorithmic Information Theory; 2nd Edition
نویسنده
چکیده
Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is information randomness and incompleteness papers on algorithmic information theory. This book is not kind of difficult book to read. It can be read and understand by the new readers.
منابع مشابه
Algorithmic Information Theory and Kolmogorov Complexity
This document contains lecture notes of an introductory course on Kolmogorov complexity. They cover basic notions of algorithmic information theory: Kolmogorov complexity (plain, conditional, prefix), notion of randomness (Martin-Löf randomness, Mises–Church randomness), Solomonoff universal a priori probability and their properties (symmetry of information, connection between a priori probabil...
متن کاملAlgorithmic Randomness , Quantum Physics , and Incompleteness C
Is randomness in quantum mechanics “algorithmically random”? Is there any relation between Heisenberg’s uncertainty relation and Gödel’s incompleteness? Can quantum randomness be used to trespass the Turing’s barrier? Can complexity shed more light on incompleteness? In this paper we use variants of “algorithmic complexity” to discuss the above questions.
متن کاملAlgorithmic Randomness, Quantum Physics, and Incompleteness
Is randomness in quantum mechanics “algorithmically random”? Is there any relation between Heisenberg’s uncertainty relation and Gödel’s incompleteness? Can quantum randomness be used to trespass the Turing’s barrier? Can complexity shed more light on incompleteness? In this paper we use variants of “algorithmic complexity” to discuss the above questions.
متن کاملProbabilistic Sufficiency and Algorithmic Sufficiency from the point of view of Information Theory
Given the importance of Markov chains in information theory, the definition of conditional probability for these random processes can also be defined in terms of mutual information. In this paper, the relationship between the concept of sufficiency and Markov chains from the perspective of information theory and the relationship between probabilistic sufficiency and algorithmic sufficien...
متن کاملAround Kolmogorov complexity: basic notions and results
Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. There are several textbooks and monographs devoted to this theory [4, 1, 5, 2, 7] where one can find the detailed exposition of many difficult results as well as historical references. However, it seems that a short survey of its basi...
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عنوان ژورنال:
دوره 8 شماره
صفحات -
تاریخ انتشار 1990