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DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS.

Let ${\cal F}$ =(F; +, .,0, 1, D) be a differentially closed field. We consider the question of definability of the derivation D in reducts of ${\cal F}$ of the form ${\cal F}$R = (F; +, .,0, 1, P)P ε R where R is some collection of definable sets in ${\cal F}$. We give examples and nonexamples and...

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Published in:Journal of Symbolic Logic Vol. 82; no. 4; pp. 1252 - 1278
Main Author: ASLANYAN, VAHAGN
Format: Article
Published: Cambridge University Press Dec2017
Subjects:
Differentiable functions
Definability theory (Mathematical logic)
Model theory
Recursive functions
Algorithmic randomness
Applied mathematics
Algebraic logic
Online Access:View this record in EBSCOhost