One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of EhrenfeuchtF...
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of first-order logic: co...
The problems of contextual equivalence and approximation are studied for the third-order fragment of Idealized Algol with iteration (IA∗ 3). They are approached via a combination...
The decision problem is studied for fragments of second-order linear logic without modalities. It is shown that the structural rules of contraction and weakening may be simulated ...
We show how well-known refinements of ordered resolution, in particular redundancy elimination and ordering constraints in combination with a selection function, can be used to obt...