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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 970–975
DOI: https://doi.org/10.17377/smzh.2018.59.502 (Mi smj3022) 		 
$\Sigma$-definability in hereditarily finite superstructures and computable analysis

S. A. Aleksandrova

Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.502
Abstract: We construct a computable real function not $\Sigma$-definable in hereditarily finite superstructures over the extensions with decidable theory of the reals.
Keywords: computability, admissible set, hereditarily finite superstructure, $\Sigma$-definability, computable analysis.
Received: 24.10.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 763–767
DOI: https://doi.org/10.1134/S0037446618050026
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: S. A. Aleksandrova, “$\Sigma$-definability in hereditarily finite superstructures and computable analysis”, Sibirsk. Mat. Zh., 59:5 (2018), 970–975; Siberian Math. J., 59:5 (2018), 763–767
Citation in format AMSBIB
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