In this note, we prove that having unique head-normal forms is a sufficient condition on partial combinatory algebras to be completable. As application,we show that the pca of str...
We describe how the calculus of partial inductive definitions is used to represent logics. This calculus includes the powerful principle of definitional reflection. We describe two...
A classical higher-order logic PFsub of partial functions is defined. The logic extends a version of Farmer's logic PF by enriching the type system of the logic with subset ty...
In this paper, we propose a tableau-based technique for reasoning with various distributed DL knowledge bases. This technique can be applied both to DDLs and to new and relevant s...
The partial real line is the continuous domain of compact real intervals ordered by reverse inclusion. The idea is that singleton intervals represent total real numbers, and that ...