I wonder if one can find empirical evidence of a link between the Kolmogorov complexity of a task and that of its solutions. Intuitively, I would think that problems that are simple to fully specify can be solved with comparably simple algorithms.
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No. Specifying "prove theorem X within axiom system Y" only involves specifying X, and Y. It is low KC. Fermat's last theorem is a counterexample.
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