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arXiv · 2110.07349

A Functional Abstraction of Typed Invocation Contexts

Youyou Cong·Chiaki Ishio·Kaho Honda·Kenichi Asai
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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.

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Youyou Cong, Chiaki Ishio, Kaho Honda, Kenichi Asai. 2021-10-14. A Functional Abstraction of Typed Invocation Contexts. https://doi.org/10.46298/lmcs-18(3%3A34)2022

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