We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Abstract. We give a simple term calculus for the multiplicative exponential fragment of Classical Linear Logic, by extending Barber and Plotkin's system for the intuitionistic...
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 describe a relational framework that uniformly supports formalization and automated reasoning in various propositional modal logics. The proof system we propose is a relational ...
Abstract. The basic aim of our study is to give a possible model for handling uncertain information. This model is worked out in the framework of DATALOG. At first the concept of f...