When you define satisfaction for quantified formulas, e.g., \(\forall x\, A\), you have to have a way to make \(x\) range over all elements of the domain. Here are the common options: A. Tarski-style: use variable assignments \(s\colon V \to D\) (where \(V\) is the set of variables and \(D\) the domain), then define \[\mathfrak{M}, … Continue reading Satisfaction and assignments
![](https://i0.wp.com/richardzach.org/wp-content/uploads/2020/05/assignments.png?fit=772%2C360&ssl=1)