Title :
Generalization of Complexity Oscillations in Infinite Sequences
Author :
Liu, ChenGuang ; Yamazaki, Takeshi ; Tanaka, Kazuyuki
Author_Institution :
Grad. Sch. of Manage. Sci., Xi´´an Univ. of Technol., Xi´´an
Abstract :
The C-oscillation due to Martin-Lof shows that {alpha|foralln[C(alpha|n)gesn-O(1)]}=Oslash, which also follows {alpha|foralln[K(alpha|n)gesn +K(n)-O(1)]}=Oslash. By generalizing them, we show that there does not exist a real alpha such that foralln(K(alpha|n)gesn+lambdaK(n)-O(1)) for any lambda>0.
Keywords :
binary sequences; computational complexity; oscillations; C-oscillation; complexity oscillations; generalization; infinite sequences; Binary sequences; Conference management; Technology management; Turing machines; Algorithmic randomness; Complexity oscillations; Kolmogorov complexity;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.915
