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Witnesses for Fixpoint Games on Lattices
Barbara König, Karla Messing
We construct witnesses that can be used to derive strategies in fixpoint games and provide proof that the least fixpoint of a function is either above or not below some given bound…
Generalized Kantorovich-Rubinstein Duality beyond Hausdorff and Kantorovich
Paul Wild, Lutz Schröder, Karla Messing +2
The classical Kantorovich-Rubinstein duality guarantees coincidence between metrics on the space of probability distributions defined on the one hand via transport plans (couplings…
Graded Semantics and Graded Logics for Eilenberg-Moore Coalgebras
Jonas Forster, Lutz Schröder, Paul Wild +3
Coalgebra, as the abstract study of state-based systems, comes naturally equipped with a notion of behavioural equivalence that identifies states exhibiting the same behaviour. In…
Expressive Quantale-valued Logics for Coalgebras: an Adjunction-based Approach
Harsh Beohar, Sebastian Gurke, Barbara König +4
We address the task of deriving fixpoint equations from modal logics characterizing behavioural equivalences and metrics (summarized under the term conformances). We rely on earlie…