research-article

Typing, representing, and abstracting control: functional pearl

Authors:

Philipp Schuster,

Jonathan Immanuel BrachthäuserAuthors Info & Claims

TyDe 2018: Proceedings of the 3rd ACM SIGPLAN International Workshop on Type-Driven Development

Pages 14 - 24

https://doi.org/10.1145/3240719.3241788

Published: 27 September 2018 Publication History

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Abstract

A well known technique to implement programming languages with delimited control operators shift and reset is to translate programs into continuation passing style (CPS). We can iterate the CPS translation to obtain the CPS hierarchy and to implement a family of control operators shift_i and reset_i. This functional pearl retells the story of a family of delimited control operators and their translation to lambda calculus via the CPS hierarchy. Prior work on the CPS hierarchy fixes a level of n control operators for the entire program upfront, but we allow different parts of the program to live at different levels. It turns out that taking shift0 rather than shift as the basis for the family of control operators is essential for this. Our source language is a typed embedding in the dependently typed language Idris. Our target language is a HOAS embedding in Idris. The translation avoids administrative beta- and eta-redexes at all levels of the CPS hierarchy, by iterating well-known techniques for the non-iterated CPS translation.

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Cited By

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Müller MSchuster PStarup JOstermann KBrachthäuser J(2023)From Capabilities to Regions: Enabling Efficient Compilation of Lexical Effect HandlersProceedings of the ACM on Programming Languages10.1145/36228317:OOPSLA2(941-970)Online publication date: 16-Oct-2023
https://dl.acm.org/doi/10.1145/3622831
Schuster PBrachthäuser JMüller MOstermann KJhala RDillig I(2022)A typed continuation-passing translation for lexical effect handlersProceedings of the 43rd ACM SIGPLAN International Conference on Programming Language Design and Implementation10.1145/3519939.3523710(566-579)Online publication date: 9-Jun-2022
https://dl.acm.org/doi/10.1145/3519939.3523710
Schuster PBrachthäuser JOstermann K(2022)Region-based Resource Management and Lexical Exception Handlers in Continuation-Passing StyleProgramming Languages and Systems10.1007/978-3-030-99336-8_18(492-519)Online publication date: 5-Apr-2022
https://dl.acm.org/doi/10.1007/978-3-030-99336-8_18
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Index Terms

Typing, representing, and abstracting control: functional pearl
1. Software and its engineering
  1. Software notations and tools
    1. General programming languages
      1. Language features
        Control structures
2. Theory of computation
  1. Semantics and reasoning
    1. Program constructs
      1. Type structures

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TyDe 2018: Proceedings of the 3rd ACM SIGPLAN International Workshop on Type-Driven Development

September 2018

90 pages

ISBN:9781450358255

DOI:10.1145/3240719

General Chairs:
Richard A. Eisenberg,
Niki Vazou

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Published: 27 September 2018

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ICFP '18: 23nd ACM SIGPLAN International Conference on Functional Programming

September 27, 2018

MO, St. Louis, USA

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ICFP '25

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ACM SIGPLAN International Conference on Functional Programming

October 12 - 18, 2025

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Müller MSchuster PStarup JOstermann KBrachthäuser J(2023)From Capabilities to Regions: Enabling Efficient Compilation of Lexical Effect HandlersProceedings of the ACM on Programming Languages10.1145/36228317:OOPSLA2(941-970)Online publication date: 16-Oct-2023
https://dl.acm.org/doi/10.1145/3622831
Schuster PBrachthäuser JMüller MOstermann KJhala RDillig I(2022)A typed continuation-passing translation for lexical effect handlersProceedings of the 43rd ACM SIGPLAN International Conference on Programming Language Design and Implementation10.1145/3519939.3523710(566-579)Online publication date: 9-Jun-2022
https://dl.acm.org/doi/10.1145/3519939.3523710
Schuster PBrachthäuser JOstermann K(2022)Region-based Resource Management and Lexical Exception Handlers in Continuation-Passing StyleProgramming Languages and Systems10.1007/978-3-030-99336-8_18(492-519)Online publication date: 5-Apr-2022
https://dl.acm.org/doi/10.1007/978-3-030-99336-8_18
Brachthäuser J(2022)What You See Is What You Get: Practical Effect Handlers in Capability-Passing StyleErnst Denert Award for Software Engineering 202010.1007/978-3-030-83128-8_3(15-43)Online publication date: 1-Jan-2022
https://doi.org/10.1007/978-3-030-83128-8_3
Brachthäuser JSchuster POstermann K(2020)Effects as capabilities: effect handlers and lightweight effect polymorphismProceedings of the ACM on Programming Languages10.1145/34281944:OOPSLA(1-30)Online publication date: 13-Nov-2020
https://dl.acm.org/doi/10.1145/3428194
Schuster PBrachthäuser JOstermann K(2020)Compiling effect handlers in capability-passing styleProceedings of the ACM on Programming Languages10.1145/34089754:ICFP(1-28)Online publication date: 3-Aug-2020
https://dl.acm.org/doi/10.1145/3408975

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Compiling effect handlers in capability-passing style

Typing control operators in the CPS hierarchy

Abstracting definitional interpreters (functional pearl)

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