In this paper we give a denotational model for Abadi and Cardelli's first order object calculus. FOb1+椎 (without subtyping) in the category pCpo.

In this paper we give a denotational model for Abadi and Cardelli's first order object calculus FOb1+×μ (without subtyping) in the category pCpo.

A particular case of the foregoing calculation is that associated with the object. Bf. Bf- Bf in (f,Bf). We have. ξB = ξB(Bf)T = λ. Bf. Bf ηBf = ϕBηBf = ϕB(ηXf ) ...

Jan 19, 2014 · Abstract:The purpose of this work is to complete the algebraic foundations of second-order languages from the viewpoint of categorical ...

Nov 11, 2016 · Usually the word functorial means that some construction of some sort is a functor. There are two example of this notion that come to my mind.

This semantics interprets types as mixed-variant functors. (so-called difunctors) and is therefore termed difunctorial. In addition, we prove computational ...

Morphisms in Set(2) are simply functions between the underlying sets. We write ∨, ∧, (·)− for the standard Boolean algebra operations. Note every Set(2)-object.

The free DCR category on one object is the prop induced from this monoidal theory, and it can be characterised as Par(Fop): the prop of partial functions in Fop ...

In this semantics, a term is interpreted as a formal power series with set-valued coefficients, i.e., as a functor X → Set, where the set X is the denotation of ...

The notion of `functorial operational semantics' introduced in this thesis is a cat- egorical formulation (and generalization) of `well-behaved' structural ...