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An isomorphism between monoids of external embeddings: About definability in arithmetic

Published online by Cambridge University Press:  12 March 2014

Mihai Prunescu*
Affiliation:
Institut Für Mathematik und Informatik, Universität Greifswald, Germany Institute of Mathematics of the Romanian Academy, Bucharest, Romania, E-mail: prunescu@mail.uni-greifswald.de

Abstract

We use a new version of the Definability Theorem of Beth in order to unify classical theorems of Yuri Matiyasevich and Jan Denef in one structural statement. We give similar forms for other important definability results from Arithmetic and Number Theory.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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