This paper describes the concept of higher order quotients and an implementation in Isabelle. Higher order quotients are a generalization of quotients. They use partial equivalence...
Abstract. In this paper, we present an argumentation-based approach to dealing with inconsistency occurring in knowledge bases. We investigate several important logical properties ...
This paper shows how type effect systems can be combined with model-checking techniques to produce powerful, automatically verifiable program logics for higher order programs. The...
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
Abstract. We present an abstract view of existential variables in a dependently typed lambda-calculus based on modal type theory. This allows us to justify optimizations to pattern...