We define a substitution monoidal structure on [(SA)op,SetA], give a definition of binding signature at this level of generality, and extend initial algebra ...

Abstract. We generalise Fiore et al's account of variable binding for untyped cartesian contexts and Tanaka's account of vari-.

A unified category-theoretic formulation of typed binding signatures. / Tanaka, Miki; Power, John. MERLIN '05 Proceedings of the 3rd ACM SIGPLAN workshop on ...

Sep 30, 2005 · We define a substitution monoidal structure on [(SA)op,SetA], give a definition of binding signature at this level of generality, and extend ...

Miki Tanaka, John Power : A unified category-theoretic formulation of typed binding signatures. MERLIN 2005: 13-24. manage site settings.

We give a general category theoretic formulation of the approach to modelling variable binding first proposed by Fiore, Plotkin, and Turi.

In this paper, we extend our earlier work from untyped variable binding to typed variable binding. ... ... Inevitably, the first two technical sections of this ...

This work defines a canonical substitution monoidal structure on the category [(S1)op, Set], generalizing substitution monoid structures for Cartesian and ...

Dec 13, 2021 · The authors consider both a categorical formulation of recursion to specify substitution (on “free” objects), as well as a type-theoretic ...

A unified category-theoretic formulation of typed binding signatures. M Tanaka, J Power. MERLIN, 13-24, 2005. 21, 2005. Binding Signatures for Generic Contexts.