Simple type theory is suited as framework for combining classical and non-classical logics. This claim is based on the observation that various prominent logics, including (quantif...
Abstract. We propose syntax and semantics for systems of intuitionistic and classical first order dependently sorted logic, with and withlity, retaining type dependency, but other...
We develop an explicit two level system that allows programmers to reason about the behavior of effectful programs. The first level is an ordinary ML-style type system, which conf...
Hybrid logics are a principled generalization of both modal logics and description logics, a standard formalism for knowledge representation. In this paper we give the first const...