Document Type
Article
Publication Date
2010
Abstract
We investigate universal algebra over the category Nom of nominal sets. Using the fact that Nom is a full re ective subcategory of a monadic category, we obtain an HSP-like theorem for algebras over nominal sets. We isolate a `uniform' fragment of our equational logic, which corresponds to the nominal logics present in the literature. We give semantically invariant translations of theories for nominal algebra and NEL into `uniform' theories and systematically prove HSP theorems for models of these theories.
Recommended Citation
A. Kurz and D. Petrişan, “On universal algebra over nominal sets,” Mathematical Structures in Computer Science, vol. 20, no. 02, p. 285, Apr. 2010. DOI: 10.1017/S0960129509990399
Copyright
Cambridge University Press
Included in
Algebra Commons, Logic and Foundations Commons, Other Computer Engineering Commons, Other Computer Sciences Commons, Other Mathematics Commons
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Structures in Computer Science, volume 20, number 2, in 2010 following peer review. The definitive publisher-authenticated version is available online at DOI: 10.1017/S0960129509990399.