Question: [11] Show that if C(x) n and C(y) n then C(x, y) 2n + O(1). Comments. Source (also for Exercise 2.1.8): [A.K.

[11] Show that if C(x) ≤ n and C(y) ≤ n then C(x, y) ≤ 2n +

O(1).

Comments. Source (also for Exercise 2.1.8): [A.K. Shen, V.A. Uspensky, and N.K. Vereshchagin, Kolmogorov Complexity and Algorithmic Randomness, American Mathematical Society, 2017]. Compare with Example 2.1.5 on page 109.

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