This paper has two purposes. The first is to present a final coalgebra construction for finitary endofunctors on Set that uses a certain subset L∗ of the limit L of the firs...
Goldblatt and Thomason’s theorem on modally definable classes of Kripke frames and Venema’s theorem on modally definable classes of Kripke models are generalised to coalgebra...
We give a sound and complete derivation system for the valid formulas in the finitary version of Moss' coalgebraic logic, for coalgebras of arbitrary type.
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,...
Abstract. We define an out-degree for F-coalgebras and show that the coalgebras of outdegree at most form a covariety. As a subcategory of all Fcoalgebras, this class has a termin...