Topological arguments for Kolmogorov complexity
Copyright policy )Topological arguments for Kolmogorov complexity
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.
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FOS: Computer and information sciences, topology, Discrete Mathematics (cs.DM), Computer Science - Information Theory, Information Theory (cs.IT), Kolmogorov complexity, QA75.5-76.95, Computational Complexity (cs.CC), Algorithmic information theory (Kolmogorov complexity, etc.), existence proofs, Computer Science - Computational Complexity, Electronic computers. Computer science, QA1-939, [INFO.INFO-CC] Computer Science [cs]/Computational Complexity [cs.CC], F.1.2, F.1.3, F.1.1; F.1.2; F.1.3, F.1.1, Mathematics, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, topology, Discrete Mathematics (cs.DM), Computer Science - Information Theory, Information Theory (cs.IT), Kolmogorov complexity, QA75.5-76.95, Computational Complexity (cs.CC), Algorithmic information theory (Kolmogorov complexity, etc.), existence proofs, Computer Science - Computational Complexity, Electronic computers. Computer science, QA1-939, [INFO.INFO-CC] Computer Science [cs]/Computational Complexity [cs.CC], F.1.2, F.1.3, F.1.1; F.1.2; F.1.3, F.1.1, Mathematics, Computer Science - Discrete Mathematics
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