Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof t...
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Abstract. We introduce a novel way to integrate functional and concurrent programming based on intuitionistic linear logic. The functional core arises from interpreting proof reduc...
We present a framework for eliminating redundancies during the reconstruction of sequent proofs from matrix proofs. We show that search-free proof reconstruction requires knowledge...
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...