Lecture notes on descriptional complexity and randomness
نویسنده
چکیده
A didactical survey of the foundations of Algorithmic Information Theory. These notes are short on motivation, history and background but introduce some of the main techniques and concepts of the field. The “manuscript” has been evolving over the years. Please, look at “Version history” below to see what has changed when.
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Algorithmic Information Theory and Kolmogorov Complexity
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Randomization provides unconditional benefits in many settings; examples include cryptography (where random keys are used to provide protection against an adversary) and distributed computing (where randomness can be used as a means to break symmetry between parties). Randomness also appears to help in algorithm design. But is it possible that, from a complexity-theoretic perspective, randomnes...
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