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A Functional Abstraction of Typed Invocation Contexts

Programming Languages 2023-06-22 v5

Abstract

In their paper "A Functional Abstraction of Typed Contexts", Danvy and Filinski show how to derive a monomorphic type system of the shift and reset operators from a CPS semantics. 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 previously captured continuations. Our key observation is that, by adopting a functional representation of trails in the CPS semantics, we can derive a type system that encodes all and only constraints imposed by the CPS semantics.

Keywords

Cite

@article{arxiv.2110.07349,
  title  = {A Functional Abstraction of Typed Invocation Contexts},
  author = {Youyou Cong and Chiaki Ishio and Kaho Honda and Kenichi Asai},
  journal= {arXiv preprint arXiv:2110.07349},
  year   = {2023}
}
R2 v1 2026-06-24T06:53:11.695Z