User loginNavigation |
Lawvere Theories and MonadsMartin Hyland and John Power (2007). The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads. ENTCS 172:437-458. Both monads and Lawvere theories provide characterisations of algebraic structure, with monads providing the more general characterisation. The authors provide an introduction to Lawvere theories, discusses their relationship to sets, and why monads became the more popular treatment. Then they tackle the application of the theory to the semantics of side effects, where they argue that the generality of monads allow them to characterise computational phenomena that are not to do with side effects such as partiality and continuations, and argue that Lawvere theories more cleanly characterise what side effects are. This paper is a good introduction to an important line of recent research done by Hyland&Power; cf. also the LtU story Combining computational effects. |
Browse archivesActive forum topics |
Recent comments
2 weeks 22 hours ago
4 weeks 2 days ago
13 weeks 4 days ago
13 weeks 6 days ago
14 weeks 17 hours ago
21 weeks 15 hours ago
26 weeks 5 days ago
26 weeks 6 days ago
27 weeks 5 days ago
30 weeks 3 days ago