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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…
Computing Fixpoints of Learned Functions: Chaotic Iteration and Simple Stochastic Games
Paolo Baldan, Sebastian Gurke, Barbara König +1
The problem of determining the (least) fixpoint of (higher-dimensional) functions over the non-negative reals frequently occurs when dealing with systems endowed with a quantitativ…
Behavioural Metrics: Compositionality of the Kantorovich Lifting and an Application to Up-To Techniques
Keri D'Angelo, Sebastian Gurke, Johanna Maria Kirss +4
Behavioural distances of transition systems modelled via coalgebras for endofunctors generalize traditional notions of behavioural equivalence to a quantitative setting, in which s…
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…