Generalization of complexity oscillations in infinite sequences

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The C-oscillation due to Martin-Löf shows that {α|∀n[C(a up harpoon right n) ≥ n -O(1)]} = φ, which also follows {α|∀n[K(α up harpoon right n) ≥n + K(n) - O(1)]} = φ. By generalizing them, we show that there does not exist a real a such that ∀n (K (α up harpoon right n) ≥ n + λK(n) - O(1))for any λ > 0.

Original languageEnglish
Title of host publicationProceedings - 4th International Conference on Natural Computation, ICNC 2008
Pages299-303
Number of pages5
DOIs
Publication statusPublished - 2008 Dec 22
Event4th International Conference on Natural Computation, ICNC 2008 - Jinan, China
Duration: 2008 Oct 182008 Oct 20

Publication series

NameProceedings - 4th International Conference on Natural Computation, ICNC 2008
Volume1

Other

Other4th International Conference on Natural Computation, ICNC 2008
CountryChina
CityJinan
Period08/10/1808/10/20

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics

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