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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 358, Pages 23–37 (Mi znsl2143)  
This article is cited in 5 scientific papers (total in 5 papers)

Non-maximal decidable structures

A. Bès, P. Cégielski

LACL, Université Paris-Est
Full-text PDF (223 kB) Citations (5)
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Abstract: Given any infinite structure $\mathfrak M$ with a decidable first-order theory, we give a sufficient condition in terms of the Gaifman graph of $\mathfrak M$, which ensures that $\mathfrak M$ can be expanded with some non-definable predicate in such a way that the first-order theory of the expansion is still decidable. Bibl. – 10 titles.
Received: 22.05.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 5, Pages 615–622
DOI: https://doi.org/10.1007/s10958-009-9399-x
Bibliographic databases:
UDC: 510.665
Language: English
Citation: A. Bès, P. Cégielski, “Non-maximal decidable structures”, Studies in constructive mathematics and mathematical logic. Part XI, Zap. Nauchn. Sem. POMI, 358, POMI, St. Petersburg, 2008, 23–37; J. Math. Sci. (N. Y.), 158:5 (2009), 615–622
Citation in format AMSBIB
\Bibitem{BesCeg08}
\by A.~B\`es, P.~C\'egielski
\paper Non-maximal decidable structures
\inbook Studies in constructive mathematics and mathematical logic. Part~XI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 358
\pages 23--37
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2143}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 5
\pages 615--622
\crossref{https://doi.org/10.1007/s10958-009-9399-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349217071}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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