Chain rule for Kolmogorov complexity: Difference between revisions

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m Spell complexty => complexity (1)
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(An exact version, ''KP''(''X'', ''Y'') = ''KP''(''X'') + ''KP''(''Y''|''X''*) + O(1),
holds for the prefix complextycomplexity ''KP'', where ''X*'' is a shortest program for ''X''.)
 
It states that the shortest program to reproduce ''X'' and ''Y'' is using a program to reproduce ''X'' and a program to reproduce ''Y'' given ''X'', plus [[Big-O notation|at most]] a logarithmic factor. Using this statement one can define [[Mutual information#Absolute mutual information|an analogue of mutual information for Kolmogorov complexity]].