2010/01/01 by Ernst–Erich Doberkat, Doberkat, Ernst-Erich, Alexander Kurz +1
Computer Science · #Advanced Algebra and Logic #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #Markov transition systems #Modal logics #bisimulation and behavioral equivalence #coalgebras #relations
paper · doi:10.4230/dagsemproc.09502.1
openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The seminar dealt with recent developments in the emerging area of coalgebraic logic and was the first Dagstuhl seminar on that topic. Coalgebraic logic is a branch of logic which studies coalgebras as models of systems and their logics. It can be seen as generalising and extending the classical theory of modal logic to more general models of systems than labelled transition systems. Traditionally, modal logics find their use when reasoning about behavioural and temporal properties of computation and communication, whereas coalgebras give a uniform account for a large class of different systems. The seminar discussed foundational topics in a particular branch of logic, so problems which command a direct application in an industrial context were outside the seminar's scope. We expect, however, that specification methods related to coalgebraic logics will enter fields like model checking and other areas of industrial interest, once the mathematical foundations in this area are firmer and better understood.