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An Additivity Theorem for Plain Kolmogorov Complexity
Journal article   Peer reviewed

An Additivity Theorem for Plain Kolmogorov Complexity

Bruno Bauwens and Alexander Shen
Theory of Computing Systems, Vol.52, pp.297-302
2013

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-free and plain conditional complexities of its components.
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