We present the general theory of the method of glueing and associated technique of orthogonality for constructing categorical models of linear logic: in particular we treat the exponentials in detail.Expand

We seek a unified account of modularity for computational effects using the notion of enriched Lawvere theory, together with its relationship with strong monads.Expand

An equality relation on the terms of the A-calculus is an equivalence relation closed under the (syntactical) operations of application and A-abstraction. We may distinguish between syntactic and… Expand

Abstract Pseudo-commutative 2-monads and pseudo-closed 2-categories are defined. The former give rise to the latter: if T is pseudo-commutative, then the 2-category T-Alg, of strict T-algebras and… Expand

In this paper we consider the problem of deriving a term assignment system for Girard's Intuitionistic Linear Logic for both the sequent calculus and natural deduction proof systems.Expand

This paper is concerned with a remarkable fact. The effective topos contains a small complete subcategory, essentially the familiar category of partial equivalence realtions. This is in contrast to… Expand