3 papers
cs.LO2025
Robust Topology and the Hausdorff-Smyth Monad on Metric Spaces over Continuous Quantales
Francesco Dagnino, Amin Farjudian, Eugenio Moggi
We define a (preorder-enriched) category of quantale-valued metric spaces and uniformly continuous maps, with the essential requirement that the quantales are contin…
cs.LO2023
Robustness in Metric Spaces over Continuous Quantales and the Hausdorff-Smyth Monad
Francesco Dagnino, Amin Farjudian, Eugenio Moggi
Generalized metric spaces are obtained by weakening the requirements (e.g., symmetry) on the distance function and by allowing it to take values in structures (e.g., quantales) tha…
cs.LO2022
Robustness, Scott Continuity, and Computability
Amin Farjudian, Eugenio Moggi
Robustness is a property of system analyses, namely monotonic maps from the complete lattice of subsets of a (system's state) space to the two-point lattice. The definition of robu…