On time-bounded incompressibility of compressible strings ## AbstractFor every total recursive time bound t, a constant fraction of all compressible (low Kolmogorov complexity) strings is t-bounded incompressible (high time-bounded Kolmogorov complexity); there are infinitely many infinite sequences of which every initial segment is compressible yet t-bounded incompressible; and there is a recursive infinite sequence of which every initial segment is t-bounded incompressible.
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