, Volume 25, Issue 3-4, pp 331-352

The model theory of differential fields revisited

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Abstract

The intent of this article is to provide a general and elementary account of the model theory of differential fields, collecting together various results (many without proof) and offering a few algebraic details for the logician reader. The first model-theoretic look at differential fields was taken by Abraham Robinson in the context of model completeness, while later developments have served to illustrate concepts developed by Morley and Shelah.

Preparation of this paper supported in part by N.S.F. Grant MPS 75-08241.