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Topological arguments in Kolmogorov complexity

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If you have a question about this talk, please contact Mustapha Amrani.

Semantics and Syntax: A Legacy of Alan Turing

We show how topological arguments (simple facts about non-homotopic mappings) can be used to prove result about Kolmogorov complexity. In particular, we show that for every string x of complexity at least n +c log n one can find a string y such that both conditional complexities C(x|y) and C(y|x) are equal to n+O(1).

This talk is part of the Isaac Newton Institute Seminar Series series.

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