Coalgebras provide effective models of data structures and state-transition systems. A virtual covariety is a class of coalgebras closed under coproducts, images of coalgebraic mo...
Covarieties of coalgebras are those classes of coalgebras for an endofunctor H on the category of sets that are closed under coproducts, subcoalgebras and quotients. Equivalently,...
We show how coalgebras can be presented by operations and equations. This is a special case of Linton's approach to algebras over a general base category X, namely where X is...