elementary class of structures

A class $K$ of structures of a given signature is an **elementary class** if there is a first-order theory $T$ such that $K$ consists precisely of all models of $T$.

There is a vast generalizations for higher-order theories (and more) abstract elementary class, metric abstract elementary class.

- wikipedia elementary class

category: model theory

Revised on February 23, 2017 02:33:24
by Urs Schreiber
(78.45.5.227)