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...
Abstract. Coalgebra automata, introduced by the second author, generalize the well-known automata that operate on infinite words/streams, trees, graphs or transition systems. This...
Fixed point logics are widely used in computer science, in particular in artificial intelligence and concurrency. The most expressive logics of this type are the
We build on existing work on finitary modular coalgebraic logics [3,4], which we extend with general fixed points, including CTL- and PDL-like fixed points, and modular evaluation...
Universal Coalgebra provides the notion of a coalgebra as the natural mathematical generalization of state-based evolving systems such as (infinite) words, trees, and transition s...