Model Existence for Higher Order Logic
Christoph Benzmüller, Michael Kohlhase · 1997
In this paper we provide a semantical meta-theory that will support the development of higher-order calculi for automated theorem proving like the corresponding methodology has in rst-order logic. To reach this goal, we establish classes of models that adequately characterize the existing theorem-proving calculi and we present a standard methodology of abstract consistency methods (by providing the necessary model existence theorems) needed to analyze completeness of machine-oriented calculi with respect to this model classes.