Henkinization
Henkinization is a term in theoretical computer science and logic that refers to the process of constructing a model for a given theory. Specifically, it is associated with the work of Leon Henkin, a logician who made significant contributions to model theory. The core idea behind Henkinization is to demonstrate the existence of models for certain logical theories by explicitly constructing them. This construction often involves building an infinite model, even if the theory itself does not imply the existence of an infinite model.
In model theory, a model is an interpretation of a formal language. A theory is a set
This method is particularly useful in proving the completeness of logical systems. For example, in first-order