Complexity of majorants

April 06, 2020 · The Ethereal · 🏛 arXiv.org

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Authors Alexander Shen arXiv ID 2004.02844 Category math.LO: Logic Cross-listed cs.IT Citations 0 Venue arXiv.org Last Checked 5 months ago
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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