LIMIT COMPLEXITIES, MINIMAL DESCRIPTIONS, AND n -RANDOMNESS.

Let K denote prefix-free Kolmogorov complexity, and let $K^A$ denote it relative to an oracle A. We show that for any n , $K^{\emptyset ^{(n)}}$ is definable purely in terms of the unrelativized notion K. It was already known that 2-randomness is definable in terms of K (and plain complexity C) as t...

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Detalles Bibliográficos
Publicado en:Journal of Symbolic Logic Vol. 90; no. 3; pp. 1261 - 1277
Autores principales: DOWNEY, RODNEY, LIU, LU, NG, KENG MENG, TURETSKY, DANIEL
Formato: Artículo
Publicado: Cambridge University Press Sep2025
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Acceso en línea:Ver este registro en EBSCOhost