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Classification theory and 0#

Published online by Cambridge University Press:  12 March 2014

Sy D. Friedman
Affiliation:
Institute for Logic, University of Vienna, Waehringer Strasse 25, A-1090 Vienna, Austria, E-mail: sdf@logic.univie.ac.at, URL http://www.logic.univie.ac.at/~sdf/
Tapani Hyttinen
Affiliation:
Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinland, E-mail: tapani.hyttinen@helsinki.fi
Mika Rautila
Affiliation:
Department of Mathematics, University of Helsinki, P.O.Box 4, 00014 HelsinkiFinlandStonesoft Corporation, Itälahdenkatu 22 A, 00210 HelsinkiFinland

Abstract

We characterize the classifiability of a countable first-order theory T in terms of the solvability (in the sense of [2]) of the potential-isomorphism problem for models of T.

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2003

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