11 papers
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…
The Only Distributive Law Over the Powerset Monad Is the One You Know
Sergey Goncharov, Dirk Hofmann, Pedro Nora +2
Distributive laws of set functors over the powerset monad (also known as Kleisli laws for the powerset monad) are well-known to be in one-to-one correspondence with extensions of s…
Non-Expansive Fuzzy Coalgebraic Logic
Stefan Gebhart, Lutz Schröder, Paul Wild
Fuzzy logic extends the classical truth values "true" and "false" with additional truth degrees in between. More specifically, fuzzy modal logics in this sense are given by a choic…
Graded Monads in the Semantics of Nominal Automata
Hannes Schulze, Lutz Schröder, Ãsame Cengiz
Nominal automata models serve as a formalism for data languages, and in fact often relate closely to classical register models. The paradigm of name allocation in nominal automata…
Non-expansive Fuzzy ALC
Stefan Gebhart, Lutz Schröder, Paul Wild
Fuzzy description logics serve the representation of vague knowledge, typically letting concepts take truth degrees in the unit interval. Expressiveness, logical properties, and co…
Relators and Notions of Simulation Revisited
Sergey Goncharov, Dirk Hofmann, Pedro Nora +2
Simulations and bisimulations are ubiquitous in the study of concurrent systems and modal logics of various types. Besides classical relational transition systems, relevant system…