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- W3204240204 abstract "Turing computability is the standard computability paradigm which captures the computational power of digital computers. To understand whether one can create physically realistic devices which have super-Turing power, one needs to understand whether it is possible to obtain systems with super-Turing capabilities which also have other desirable properties such as robustness to perturbations. In this paper we introduce a framework for analyzing whether a non-computability result is robust over continuous spaces. Then we use this framework to study the degree of robustness of several non-computability results which involve the wave equation, differentiation, and basins of attraction." @default.
- W3204240204 created "2021-10-11" @default.
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- W3204240204 date "2021-09-30" @default.
- W3204240204 modified "2023-10-16" @default.
- W3204240204 title "Robustness of non-computability" @default.
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- W3204240204 doi "https://doi.org/10.48550/arxiv.2109.15080" @default.
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