On time-bounded incompressibility of compressible strings

Open Access
Authors
Publication date 2008
Number of pages 7
Publisher Amsterdam: Institute for Logic, Language and Computation
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We prove that there exist finite strings with very low Kolmogorov complexity that have very high time-bounded Kolmogorov complexity. Such strings are compressible but time-bounded incompressible. For every total recursive time bound t, a constant fraction of all compressible strings is t-bounded incompressible.
Document type Working paper
Note Submitted to Information processing letters (Elsevier, ISSN 0020-0190)
Published at http://arxiv.org/abs/0809.2965
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