Title
Beyond Nonexpansive Operations in Quantitative Algebraic Reasoning
Abstract
The framework of quantitative equational logic has been successfully applied to reason about algebras whose carriers are metric spaces and operations are nonexpansive. We extend this framework in two orthogonal directions: algebras endowed with generalised metric space structures, and operations being nonexpansive up to a lifting. We apply our results to the algebraic axiomatisation of the {\L}ukaszyk--Karmowski distance on probability distributions, which has recently found application in the field of representation learning on Markov processes.
Year
DOI
Venue
2022
10.1145/3531130.3533366
ACM/IEEE Symposium on Logic in Computer Science (LICS)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Matteo Mio1134.01
Ralph Sarkis200.68
Valeria Vignudelli321.38