Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Proceedings of the A...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Proceedings of the American Mathematical Society
Article
Data sources: UnpayWall
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2001
Data sources: zbMATH Open
Proceedings of the American Mathematical Society
Article . 2001 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1090/s00...
Other literature type
Data sources: Microsoft Academic Graph
 View all 2 versions
Claim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

Prime models of theories of computable linear orderings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 22 Feb 2001 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 129, pages 3,079-3,083 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Hirschfeldt, Denis R.;

doi: 10.1090/s0002-9939-01-05923-8

Prime models of theories of computable linear orderings

Abstract

In his book: Linear orderings [Academic Press, New York (1982; Zbl 0488.04002)], \textit{J. G. Rosenstein} asked if there was a complete theory of linear orderings with a computable model and a prime model, but no computable prime model. The author uses Khisamiev's technique of ``limitwise monotonic'' functions, together with coding a construction from the literature (specifically, \textit{R. J. Coles}, \textit{R. Downey} and \textit{B. Khoussainov} [Order 14, 107-124 (1998; Zbl 0915.03040)]) to give an affirmative answer to this longstanding question.

Related Organizations
Keywords

prime model, Models with special properties (saturated, rigid, etc.), computable model, Computable structure theory, computable model theory, Total orders, Models of other mathematical theories, Theory of numerations, effectively presented structures, complete theory of linear orderings

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 8
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
bronze