Hacker News new | ask | show | jobs
by FartyMcFarter 2029 days ago
> They are both programs with logarithmic Kolmogorov complexity

In the case of true random numbers, how is that so?

Very few random sequences can be generated by a logarithmic-sized program, since most strings are not significantly compressible [1]. A simple counting argument shows that: there are 2^n strings of n bits, but only 2^(lg n) = n logarithmic-sized strings, a much smaller number!

[1] http://theory.stanford.edu/~trevisan/cs154-12/kolcomplexity-...