research-article

Algebraic foundations for effect-dependent optimisations

Authors:

Gordon D. PlotkinAuthors Info & Claims

ACM SIGPLAN Notices, Volume 47, Issue 1

Pages 349 - 360

https://doi.org/10.1145/2103621.2103698

Published: 25 January 2012 Publication History

Abstract

We present a general theory of Gifford-style type and effect annotations, where effect annotations are sets of effects. Generality is achieved by recourse to the theory of algebraic effects, a development of Moggi's monadic theory of computational effects that emphasises the operations causing the effects at hand and their equational theory. The key observation is that annotation effects can be identified with operation symbols. We develop an annotated version of Levy's Call-by-Push-Value language with a kind of computations for every effect set; it can be thought of as a sequential, annotated intermediate language. We develop a range of validated optimisations (i.e., equivalences), generalising many existing ones and adding new ones. We classify these optimisations as structural, algebraic, or abstract: structural optimisations always hold; algebraic ones depend on the effect theory at hand; and abstract ones depend on the global nature of that theory (we give modularly-checkable sufficient conditions for their validity).

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Cited By

Karachalias GKoprivec FPretnar MSchrijvers T(2021)Efficient compilation of algebraic effect handlersProceedings of the ACM on Programming Languages10.1145/34854795:OOPSLA(1-28)Online publication date: 15-Oct-2021
https://dl.acm.org/doi/10.1145/3485479
Wadler P(2021)GATE: Gradual Effect TypesLeveraging Applications of Formal Methods, Verification and Validation10.1007/978-3-030-89159-6_21(335-345)Online publication date: 12-Oct-2021
https://doi.org/10.1007/978-3-030-89159-6_21
Teng DGuo LLee RChen FZhang YMa SZhang X(2018)A Low-cost Disk Solution Enabling LSM-tree to Achieve High Performance for Mixed Read/Write WorkloadsACM Transactions on Storage10.1145/316261514:2(1-26)Online publication date: 12-Apr-2018
https://dl.acm.org/doi/10.1145/3162615
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Index Terms

Algebraic foundations for effect-dependent optimisations
1. Software and its engineering
  1. Software notations and tools
    1. Compilers
2. Theory of computation

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Algebraic foundations for effect-dependent optimisations
POPL '12: Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages

We present a general theory of Gifford-style type and effect annotations, where effect annotations are sets of effects. Generality is achieved by recourse to the theory of algebraic effects, a development of Moggi's monadic theory of computational ...
Observationally-induced Effect Monads: Upper and Lower Powerspace Constructions

Alex Simpson has suggested to use an observationally-induced approach towards modelling computational effects in denotational semantics. The principal idea is that a single observation algebra is used for defining the computational type structure. He ...
Observationally-induced Effects in Cartesian Closed Categories

Alex Simpson has suggested an observationally-induced approach towards obtaining monads for computational effects in denotational semantics. The underlying idea of this approach is to use a single observation algebra as computational prototype and to ...

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Published In

cover image ACM SIGPLAN Notices

ACM SIGPLAN Notices Volume 47, Issue 1

POPL '12

January 2012

569 pages

ISSN:0362-1340

EISSN:1558-1160

DOI:10.1145/2103621

Issue’s Table of Contents

POPL '12: Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
January 2012
602 pages
ISBN:9781450310833
DOI:10.1145/2103656
General Chair:
John Field
Google, USA
,
Program Chair:
Michael Hicks
University of Maryland, College Park, USA

Copyright © 2012 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 25 January 2012

Published in SIGPLAN Volume 47, Issue 1

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Cited By

Karachalias GKoprivec FPretnar MSchrijvers T(2021)Efficient compilation of algebraic effect handlersProceedings of the ACM on Programming Languages10.1145/34854795:OOPSLA(1-28)Online publication date: 15-Oct-2021
https://dl.acm.org/doi/10.1145/3485479
Wadler P(2021)GATE: Gradual Effect TypesLeveraging Applications of Formal Methods, Verification and Validation10.1007/978-3-030-89159-6_21(335-345)Online publication date: 12-Oct-2021
https://doi.org/10.1007/978-3-030-89159-6_21
Teng DGuo LLee RChen FZhang YMa SZhang X(2018)A Low-cost Disk Solution Enabling LSM-tree to Achieve High Performance for Mixed Read/Write WorkloadsACM Transactions on Storage10.1145/316261514:2(1-26)Online publication date: 12-Apr-2018
https://dl.acm.org/doi/10.1145/3162615
Chatterjee KFu HNovotný PHasheminezhad R(2016)Algorithmic analysis of qualitative and quantitative termination problems for affine probabilistic programsACM SIGPLAN Notices10.1145/2914770.283763951:1(327-342)Online publication date: 11-Jan-2016
https://dl.acm.org/doi/10.1145/2914770.2837639
Altenkirch TKaposi A(2016)Type theory in type theory using quotient inductive typesACM SIGPLAN Notices10.1145/2914770.283763851:1(18-29)Online publication date: 11-Jan-2016
https://dl.acm.org/doi/10.1145/2914770.2837638
Orchard DYoshida N(2016)Effects as sessions, sessions as effectsACM SIGPLAN Notices10.1145/2914770.283763451:1(568-581)Online publication date: 11-Jan-2016
https://dl.acm.org/doi/10.1145/2914770.2837634
Orchard DYoshida NBodik RMajumdar R(2016)Effects as sessions, sessions as effectsProceedings of the 43rd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages10.1145/2837614.2837634(568-581)Online publication date: 11-Jan-2016
https://dl.acm.org/doi/10.1145/2837614.2837634
Staton S(2015)Algebraic Effects, Linearity, and Quantum Programming LanguagesACM SIGPLAN Notices10.1145/2775051.267699950:1(395-406)Online publication date: 14-Jan-2015
https://dl.acm.org/doi/10.1145/2775051.2676999
Mycroft AOrchard DPetricek T(2015)Effect Systems Revisited--Control-Flow Algebra and SemanticsEssays Dedicated to Hanne Riis Nielson and Flemming Nielson on the Occasion of Their 60th Birthdays on Semantics, Logics, and Calculi - Volume 956010.1007/978-3-319-27810-0_1(1-32)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1007/978-3-319-27810-0_1
Bauer APretnar M(2013)An Effect System for Algebraic Effects and HandlersAlgebra and Coalgebra in Computer Science10.1007/978-3-642-40206-7_1(1-16)Online publication date: 2013
https://doi.org/10.1007/978-3-642-40206-7_1
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