# Asymptotic density, immunity and randomness

@article{Astor2015AsymptoticDI,
title={Asymptotic density, immunity and randomness},
author={Eric P. Astor},
journal={Comput.},
year={2015},
volume={4},
pages={141-158}
}
In 2012, inspired by developments in group theory and complexity, Jockusch and Schupp introduced generic com- putability, capturing the idea that an algorithm might work correctly except for a vanishing fraction of cases. However, we observe that their definition of a negligible set is not computably invariant (and thus not well-defined on the 1-degrees), resulting in some failures of intuition and a break with standard expectations in computability theory. To strengthen their approach, we…
10 Citations

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