Using a characterisation of strongly normalising $\lambda$-terms, we give new and simple proofs of the following: all developments and superdevelopments are finite, a certain rewrite strategy is… Expand

We show the existence of an infinitary confluen t and normalising extension of the finite extensional lambda calculus with beta and eta, and a simple syntax based proof that two lambda terms have the same semantics in this model.Expand

We introduce the Description Logic SHIQM which is obtained from SHIQ by adding statements that equate individuals to concepts in a knowledge base.Expand

We are interested in the question whether the models induced by the infinitary lambda calculus are orderable, that is whether they have a partial order with least element making the context operators monotone.Expand