Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
The logic of proofs (LP) was proposed as Gödel’s missed link between Intuitionistic and S4-proofs, but so far the tableau-based methods proposed for LPhave not explored this cl...
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...
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...