The microcosm principle, advocated by Baez and Dolan and formalized for Lawvere theories lately by three of the authors, has been applied to coalgebras in order to describe composi...
Ichiro Hasuo, Chris Heunen, Bart Jacobs, Ana Sokol...
Final coalgebras for a functor serve as semantic domains for state based systems of various types. For example, formal languages, streams, nonwell-founded sets and behaviors of CCS...
Every endofunctor B on the category Set can be lifted to a fibred functor on the category (fibred over Set) of equivalence relations and relation-preserving functions. In this pa...
This paper introduces coalgebraic monads as a unified model of term algebras covering fundamental examples such as initial algebras, final coalgebras, rational terms and term grap...
We provide a categorical presentation of the Fusion calculus. Working in a suitable category of presheaves, we describe the syntax as initial algebra of a signature endofunctor, a...