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It is folklore that effect handlers and delimited control operators are closely related: recently, this relationship has been proved in an untyped setting for deep handlers and the shift0 delimited control operator. We positively resolve the conjecture that in an appropriately polymorphic type system this relationship can be extended to the level of types, by identifying the necessary forms of polymorphism, thus extending the definability result to the typed context. In the process, we identify a novel and potentially interesting type system feature for delimited control operators. Moreover, we extend these results to substantiate the folklore connection between shallow handlers and control0 flavour of delimited control, both in an untyped and typed settings. 2012 ACM Subject Classification Theory of computation → Control primitives; Theory of computation → Operational semantics; Software and its engineering → Polymorphism

Typed Equivalence of Effect Handlers and Delimited Control.