Topological Arguments for Kolmogorov Complexity

Andrei Romashchenko (1) , Alexander Shen (1)

1 ESCAPE - Systèmes complexes, automates et pavages

We present several application of simple topological arguments in problems of Kolmogorov complexity. Basically we use the standard fact from topology that the disk is simply connected. It proves to be enough to construct strings with some nontrivial algorithmic properties.

Domaines: Complexité [cs.CC]

Andrei Romashchenko, Alexander Shen. Topological Arguments for Kolmogorov Complexity. Theory of Computing Systems, 2015, 56 (3), pp.513-526. ⟨10.1007/s00224-015-9606-8⟩. ⟨hal-01165095⟩