A completeness result for a realisability semantics for an intersection type system

In this paper, we introduce a semantics of realisability for the classical propositional natural deduction and we prove a correctness theorem.. This allows to characterize

This paper overcomes these difficulties and gives a complete semantics for an intersection type system with an arbitrary (possibly infinite) number of expansion variables using

The strong normalization theorem of second order classical natural deduction [20] is based on a lemma known as the correctness result, which stipulates that each term is in

The approach is composed of metric groups that are defined on the basis of the principles of MBSE Grid method: Requirements Refinement Metrics, Requirements Satisfaction Metrics,

We propose a modular approach towards these principles and show how human syllogistic reasoning can be modeled under a new cognitive theory, the Weak Completion Semantics..

We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have

First, we index each type with a natural number and show that although this intuitively captures the use of E-variables, it is difficult to index the universal type ω with

Various kinds of denotational semantics have helped in reasoning about the properties of entire type systems and also of specific typed terms. E-variables pose serious challenges