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A Functional Abstraction of Typed Invocation Contexts

Authors Youyou Cong , Chiaki Ishio, Kaho Honda, Kenichi Asai

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Author Details

Youyou Cong
  • Tokyo Institute of Technology, Japan
Chiaki Ishio
  • Ochanomizu University, Tokyo,Japan
Kaho Honda
  • Ochanomizu University, Tokyo, Japan
Kenichi Asai
  • Ochanomizu University, Tokyo, Japan

Funding

  • Cong, Youyou: supported in part by JSPS KAKENHI under Grant No. 19K24339.
  • Asai, Kenichi: supported in part by JSPS KAKENHI under Grant No. JP18H03218.

Acknowledgements

We sincerely thank the reviewers for their constructive feedback.

Cite As Get BibTex

Youyou Cong, Chiaki Ishio, Kaho Honda, and Kenichi Asai. A Functional Abstraction of Typed Invocation Contexts. In 6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 195, pp. 12:1-12:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.FSCD.2021.12

Abstract

In their paper "A Functional Abstraction of Typed Contexts", Danvy and Filinski show how to derive a type system of the shift and reset operators from a CPS translation. In this paper, we show how this method scales to Felleisen’s control and prompt operators. Compared to shift and reset, control and prompt exhibit a more dynamic behavior, in that they can manipulate a trail of contexts surrounding the invocation of captured continuations. Our key observation is that, by adopting a functional representation of trails in the CPS translation, we can derive a type system that allows fine-grain reasoning of programs involving manipulation of invocation contexts.

Subject Classification

ACM Subject Classification
  • Theory of computation → Functional constructs
  • Theory of computation → Control primitives
  • Theory of computation → Type structures
Keywords
  • delimited continuations
  • control operators
  • control and prompt
  • CPS translation
  • type system

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References

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