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DOI: 10.4230/LIPIcs.STACS.2012.577
URN: urn:nbn:de:0030-drops-34234
URL: http://drops.dagstuhl.de/opus/volltexte/2012/3423/

Abu Zaid, Faried ; Grädel, Erich ; Kaiser, Lukasz

The Field of Reals is not omega-Automatic

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Abstract

We investigate structural properties of omega-automatic presentations of infinite structures in order to sharpen our methods to determine whether a given structure is omega-automatic. We apply these methods to show that no field of characteristic 0 admits an injective omega-automatic presentation, and that uncountable fields with a definable linear order cannot be omega-automatic.

BibTeX - Entry

@InProceedings{abuzaid_et_al:LIPIcs:2012:3423,
  author =	{Faried Abu Zaid and Erich Gr{\"a}del and Lukasz Kaiser},
  title =	{{The Field of Reals is not omega-Automatic}},
  booktitle =	{29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)},
  pages =	{577--588},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-35-4},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{14},
  editor =	{Christoph D{\"u}rr and Thomas Wilke},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2012/3423},
  URN =		{urn:nbn:de:0030-drops-34234},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2012.577},
  annote =	{Keywords: Logic, Algorithmic Model Theory, Automatic Structures}
}

Keywords: Logic, Algorithmic Model Theory, Automatic Structures
Seminar: 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)
Issue date: 2012
Date of publication: 24.02.2012


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