A taxonomy of categories for relations
Abstract
The study of categories that abstract the structural properties of relations has been extensively developed over the years, resulting in a rich and diverse body of work. This paper strives to provide a modern presentation of these ``categories for relations'', including their enriched version, further showing how they arise as Kleisli categories of symmetric monoidal monads. The resulting taxonomy aims at bringing clarity and organisation to the many related concepts and frameworks occurring in the literature.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Logic
Fuzzy and Soft Set Theory
Publication details
- Journal / source
- Logical Methods in Computer Science
- Publisher
- Centre pour la Communication Scientifique Directe (CCSD)
- Volume
- Volume 22, Issue 2
- Publication date
- 30 June 2026
- Language
- EN