Robinson test

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The following necessary and sufficient criterion for an elementary theory $T$ to be model complete (cf. Model theory): for every two models $A$ and $B$ of $T$ such that $A$ is a substructure of $B$ (cf. Structure), it follows that $A$ is existentially closed in $B$.

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Robinson test. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by F.-V. Kuhlmann (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article