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Theories with constants and three countable models

Theories with constants and three countable models We prove that a countable, complete, first-order theory with infinite dcl( $$ \theta $$ ) and precisely three non-isomorphic countable models interprets a variant of Ehrenfeucht’s or Peretyatkin’s example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Theories with constants and three countable models

Archive for Mathematical Logic , Volume 46 (6) – Mar 17, 2007

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer-Verlag
Subject
Mathematics; Algebra; Mathematics, general; Mathematical Logic and Foundations
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-007-0054-2
Publisher site
See Article on Publisher Site

Abstract

We prove that a countable, complete, first-order theory with infinite dcl( $$ \theta $$ ) and precisely three non-isomorphic countable models interprets a variant of Ehrenfeucht’s or Peretyatkin’s example.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Mar 17, 2007

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