An additivity theorem for plain Kolmogorov complexity

Bruno Bauwens; Alexander Shen

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arXiv · 1111.4372

An additivity theorem for plain Kolmogorov complexity

Bruno Bauwens·Alexander Shen

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Abstract

We prove the formula C(a,b) = K(a|C(a,b)) + C(b|a,C(a,b)) + O(1) that expresses the plain complexity of a pair in terms of prefix and plain conditional complexities of its components.

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Bruno Bauwens, Alexander Shen. 2011-11-18. An additivity theorem for plain Kolmogorov complexity. https://arxiv.org/abs/1111.4372

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