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...
Abstract. We lay the foundations of a first-order correspondence theory for coalgebraic logics that makes the transition structure explicit in the first-order modelling. In parti...
Polyadic coalgebraic modal logic is studied in the setting of locally presentable categories. It is shown that under certain assumptions, accessible functors admit expressive logi...
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,...