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arxiv: 1111.4372 · v2 · pith:4Y3CGFN6new · submitted 2011-11-18 · 💻 cs.CC

An additivity theorem for plain Kolmogorov complexity

classification 💻 cs.CC
keywords plaincomplexityadditivitycomplexitiescomponentsconditionalexpressesformula
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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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