This paper generalizes existing connections between automata and logic to a coalgestraction level. Let F : Set Set be a standard functor that preserves weak pullbacks. We introdu...
This paper gives an overview of recent results concerning the modular derivation of (i) modal specification logics, (ii) notions of simulation together with logical characterisati...
a is an abstract framework for the uniform study of different kinds of dynamical systems. An endofunctor F determines both the type of systems (F-coalgebras) and a notion of behav...
Alexandra Silva, Filippo Bonchi, Marcello M. Bonsa...
Abstract. We generalize some of the central results in automata theory to the abstraction level of coalgebras and thus lay out the foundations of a universal theory of automata ope...
Abstract. We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the ...