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Typed Equivalence of Effect Handlers and Delimited Control

Authors Maciej Piróg , Piotr Polesiuk , Filip Sieczkowski

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Subject Classification

ACM Subject Classification
  • Theory of computation → Control primitives
  • Theory of computation → Operational semantics
  • Software and its engineering → Polymorphism
Keywords
  • type-and-effect systems
  • algebraic effects
  • delimited control
  • macro expressibility

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Abstract

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 shift_0 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 control_0 flavour of delimited control, both in an untyped and typed settings.

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Maciej Piróg, Piotr Polesiuk, and Filip Sieczkowski. Typed Equivalence of Effect Handlers and Delimited Control. In 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 131, pp. 30:1-30:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.FSCD.2019.30

Author Details

Maciej Piróg
  • University of Wrocław, Poland
Piotr Polesiuk
  • University of Wrocław, Poland
Filip Sieczkowski
  • University of Wrocław, Poland

Funding

  • Piróg, Maciej: National Science Centre, Poland, POLONEZ 3 grant "Algebraic Effects and Continuations" no. 2016/23/P/ST6/02217. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 665778.
  • Polesiuk, Piotr: National Science Centre, Poland, grant no. 2014/15/B/ST6/00619.
  • Sieczkowski, Filip: National Science Centre, Poland, grant no. 2016/23/D/ST6/01387.

Acknowledgements

We would like to thank the anonymous reviewers of this paper for providing insightful comments and questions, particularly regarding presentation, as well as Dariusz Biernacki and Sam Lindley for helpful discussions of the technical content of the paper.

Supplementary Materials

References

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