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Uniform model-completeness for the real field expanded by power functions

Published online by Cambridge University Press:  12 March 2014

Tom Foster
Tom Foster*
Affiliation:
Mathematical Institute, University of Oxford, 24-29 ST GILES', Oxford, Ox1 3LB, UK. E-mail: fostert@maths.ox.ac.uk
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Abstract

We prove that given any first order formula ϕ in the language L′ = {+, ·, <,(fi)iЄI, (ci)iЄI}, where the fi are unary function symbols and the ci are constants, one can find an existential formula Ψ such that φ and Ψ are equivalent in any L′-structure

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 4 , December 2010 , pp. 1441 - 1461
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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