Program size complexity for possibly infinite computations

We define a program size complexity function H∞ as a variant of the prefix-free Kolmogorov complexity, based on Turing monotone machines performing possibly unending computations. We consider definitions of randomness and triviality for sequences in {0, 1}ω relative to the H∞ complexity. We prove th...

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Detalles Bibliográficos
Autores principales: Becher, V., Figueira, S., Nies, A., Picchi, S.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00294527_v46_n1_p51_Becher
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