Document Type
Article
Publication Date
2010
Abstract
We investigate the foundations of a theory of algebraic data types with variable binding inside classical universal algebra. In the first part, a category-theoretic study of monads over the nominal sets of Gabbay and Pitts leads us to introduce new notions of finitary based monads and uniform monads. In a second part we spell out these notions in the language of universal algebra, show how to recover the logics of Gabbay-Mathijssen and Clouston-Pitts, and apply classical results from universal algebra.
Recommended Citation
Alexander Kurz, Daniela Petrisan, Jiri Velebil: Algebraic Theories over Nominal Sets. CoRR abs/1006.3027 (2010)
Copyright
The authors
Included in
Algebra Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Computer Sciences Commons, Other Mathematics Commons