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Related papers: Handling polymorphic algebraic effects

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This note recapitulates and expands the contents of a tutorial on the mathematical theory of algebraic effects and handlers which I gave at the Dagstuhl seminar 18172 "Algebraic effect handlers go mainstream". It is targeted roughly at the…

Logic in Computer Science · Computer Science 2019-03-13 Andrej Bauer

As popularity of algebraic effects and handlers increases, so does a demand for their efficient execution. Eff, an ML-like language with native support for handlers, has a subtyping-based effect system on which an effect-aware optimizing…

Programming Languages · Computer Science 2020-06-10 Georgios Karachalias , Matija Pretnar , Amr Hany Saleh , Stien Vanderhallen , Tom Schrijvers

Type systems usually characterize the shape of values but not their free variables. However, many desirable safety properties could be guaranteed if one knew the free variables captured by values. We describe CCsubBox, a calculus where such…

Programming Languages · Computer Science 2022-07-25 Martin Odersky , Aleksander Boruch-Gruszecki , Edward Lee , Jonathan Brachthäuser , Ondřej Lhoták

Delimited control operator shift0 exhibits versatile capabilities: it can express layered monadic effects, or equivalently, algebraic effects. Little did we know it can express lambda calculus too! We present $ \Lambda_\$ $, a call-by-value…

Programming Languages · Computer Science 2023-06-22 Mateusz Pyzik

Algebraic effect handlers are becoming an increasingly popular way of structuring effectful computations, and their performance is often a concern. One of the proposed approaches towards efficient compilation is tracking effect information…

Programming Languages · Computer Science 2025-12-03 Filip Koprivec , Matija Pretnar

We compare the expressive power of three programming abstractions for user-defined computational effects: Bauer and Pretnar's effect handlers, Filinski's monadic reflection, and delimited control without answer-type-modification. This…

Logic in Computer Science · Computer Science 2017-03-01 Yannick Forster , Ohad Kammar , Sam Lindley , Matija Pretnar

Calculi with control operators have been studied to reason about control in programming languages and to interpret the computational content of classical proofs. To make these calculi into a real programming language, one should also…

Logic in Computer Science · Computer Science 2012-10-12 Robbert Krebbers

Inference algorithms for probabilistic programming are complex imperative programs with many moving parts. Efficient inference often requires customising an algorithm to a particular probabilistic model or problem, sometimes called…

Programming Languages · Computer Science 2024-12-24 Minh Nguyen , Roly Perera , Meng Wang , Steven Ramsay

Eff is a programming language based on the algebraic approach to computational effects, in which effects are viewed as algebraic operations and effect handlers as homomorphisms from free algebras. Eff supports first-class effects and…

Programming Languages · Computer Science 2015-07-17 Andrej Bauer , Matija Pretnar

We introduce a new diagrammatic notation for representing the result of (algebraic) effectful computations. Our notation explicitly separates the effects produced during a computation from the possible values returned, this way simplifying…

Programming Languages · Computer Science 2020-01-13 Ugo Dal Lago , Francesco Gavazzo

Effect handlers allow programmers to model and compose computational effects modularly. Effect systems statically guarantee that all effects are handled. Several recent practical effect systems are based on either row polymorphism or…

Programming Languages · Computer Science 2025-12-16 Wenhao Tang , Sam Lindley

Notions of computation can be modelled by monads. Algebraic effects offer a characterization of monads in terms of algebraic operations and equational axioms, where operations are basic programming features, such as reading or updating the…

Programming Languages · Computer Science 2024-05-21 Cristina Matache , Sam Lindley , Sean Moss , Sam Staton , Nicolas Wu , Zhixuan Yang

Programming languages with algebraic effects often track the computations' effects using type-and-effect systems. In this paper, we propose to view an algebraic effect theory of a computation as a variable context; consequently, we propose…

Programming Languages · Computer Science 2021-08-24 Nikita Zyuzin , Aleksandar Nanevski

We explore asynchronous programming with algebraic effects. We complement their conventional synchronous treatment by showing how to naturally also accommodate asynchrony within them, namely, by decoupling the execution of operation calls…

Programming Languages · Computer Science 2020-11-17 Danel Ahman , Matija Pretnar

Safety is a syntactic condition of higher-order grammars that constrains occurrences of variables in the production rules according to their type-theoretic order. In this paper, we introduce the safe lambda calculus, which is obtained by…

Programming Languages · Computer Science 2015-07-01 William Blum , C. -H. Luke Ong

Information-flow security typing statically preserves confidentiality by enforcing noninterference. To address the practical need of selective and flexible declassification of confidential information, several approaches have developed a…

Programming Languages · Computer Science 2019-10-15 Raimil Cruz , Éric Tanter

We explore asynchronous programming with algebraic effects. We complement their conventional synchronous treatment by showing how to naturally also accommodate asynchrony within them, namely, by decoupling the execution of operation calls…

Programming Languages · Computer Science 2024-09-25 Danel Ahman , Matija Pretnar

The framework of Light Logics has been extensively studied to control the complexity of higher-order functional programs. We propose an extension of this framework to multithreaded programs with side effects, focusing on the case of…

Programming Languages · Computer Science 2012-09-27 Antoine Madet

A notion of probabilistic lambda-calculus usually comes with a prescribed reduction strategy, typically call-by-name or call-by-value, as the calculus is non-confluent and these strategies yield different results. This is a break with one…

Logic in Computer Science · Computer Science 2020-02-21 Ugo Dal Lago , Giulio Guerrieri , Willem Heijltjes

This paper studies the design of programming languages with handlers of higher-order effectful operations -- effectful operations that may take in computations as arguments or return computations as output. We present and analyse a core…

Programming Languages · Computer Science 2025-11-11 Zhixuan Yang , Nicolas Wu