Families Without Minimal Numberings

K. Sh Abeshev; S. A. Badaev; M. Mustafa

doi:10.1007/s10469-014-9290-9

Families Without Minimal Numberings

K. Sh Abeshev, S. A. Badaev, M. Mustafa

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

It is proved that for any nonzero computable ordinal and its arbitrary notation a, there exists a Σ_a^{− 1}-computable family without minimal computable numberings.

Original language	English
Pages (from-to)	271-286
Number of pages	16
Journal	Algebra and Logic
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s10469-014-9290-9
Publication status	Published - Sep 2014

Keywords

Ershov hierarchy
computable numbering
minimal numbering

ASJC Scopus subject areas

Analysis
Logic

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10.1007/s10469-014-9290-9

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abstract = "It is proved that for any nonzero computable ordinal and its arbitrary notation a, there exists a Σa− 1-computable family without minimal computable numberings.",

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