Complexity of majorants

Alexander Shen

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arXiv · 2004.02844

Complexity of majorants

Alexander Shen

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Abstract

The minimal Kolmogorov complexity of a total computable function that exceeds everywhere all total computable functions of complexity at most $n$, is $2^{n+O(1)}$. If we replace "everywhere" by "for all sufficiently large inputs", the answer is $n+O(1)$.

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Alexander Shen. 2020-04-06. Complexity of majorants. https://arxiv.org/abs/2004.02844

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