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...
This paper presents a modular framework for the specification of certain inductivelydefined coalgebraic types. Modal logics for coalgebras of polynomial endofunctors on the catego...
Fusion is arguably the simplest way to combine modal logics. For normal modal logics with Kripke semantics, many properties such as completeness and decidability are known to trans...
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 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...