In recent years, a tight connection has emerged between modal logic on the one hand and coalgebras, understood as generic transition systems, on the other hand. Here, we prove tha...
The existence of a final coalgebra is equivalent to the existence of a formal logic with a set (small class) of formulas that has the Hennessy-Milner property of distinguishing co...
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...
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.