A game semantics of the (−−∗, →)-fragment of the logic of bunched implications, BI, is presented. To date, categorical models of BI have been restricted to two kinds: funct...
Abstract. Multi-adjoint logic programs were recently proposed as a generalization of monotonic and residuated logic programs, in that simultaneous use of several implications in th...
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Variable binding is a prevalent feature of the syntax and proof theory of many logical systems. In this paper, we define a programming language that provides intrinsic support fo...