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Algebraic effects & handlers have become a standard approach for side-effects in functional programming. Their modular composition with other effects and clean separation of syntax and semantics make them attractive to a wide audience.…

Programming Languages · Computer Science 2024-11-27 Roger Bosman , Birthe van den Berg , Wenhao Tang , Tom Schrijvers

Algebraic effect handlers is a programming paradigm where programmers can declare their own syntactic operations, and modularly define the semantics of these using effect handlers. However, we cannot directly define algebraic effect…

Programming Languages · Computer Science 2022-03-08 Cas van der Rest , Jaro Reinders , Casper Bach Poulsen

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

Algebraic effects & handlers are a modular approach for modeling side-effects in functional programming. Their syntax is defined in terms of a signature of effectful operations, encoded as a functor, that are plugged into the free monad;…

Programming Languages · Computer Science 2023-02-06 Birthe van den Berg , Tom Schrijvers

Algebraic effects are computational effects that can be represented by an equational theory whose operations produce the effects at hand. The free model of this theory induces the expected computational monad for the corresponding effect.…

Logic in Computer Science · Computer Science 2015-07-01 Gordon D Plotkin , Matija Pretnar

Algebraic effects and handlers support composable and structured control-flow abstraction. However, existing designs of algebraic effects often require effects to be executed sequentially. This paper studies parallel algebraic effect…

Programming Languages · Computer Science 2021-10-15 Ningning Xie , Daniel D. Johnson , Dougal Maclaurin , Adam Paszke

Algebraic effects are computational effects that can be described with a set of basic operations and equations between them. As many interesting effect handlers do not respect these equations, most approaches assume a trivial theory,…

Logic in Computer Science · Computer Science 2020-05-29 Žiga Lukšič , Matija Pretnar

Algebraic effects and handlers are a powerful abstraction mechanism to represent and implement control effects. In this work, we study their extension with parametric polymorphism that allows abstracting not only expressions but also…

Programming Languages · Computer Science 2020-01-16 Taro Sekiyama , Atsushi Igarashi

Recent work has provided delimited control for Prolog to dynamically manipulate the program control-flow, and to implement a wide range of control-flow and dataflow effects on top of. Unfortunately, delimited control is a rather primitive…

Programming Languages · Computer Science 2016-08-03 Amr Hany Saleh , Tom Schrijvers

Many effect systems for algebraic effect handlers are designed to guarantee that all invoked effects are handled adequately. However, respective researchers have developed their own effect systems that differ in how to represent the…

Programming Languages · Computer Science 2024-04-26 Takuma Yoshioka , Taro Sekiyama , Atsushi Igarashi

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

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

We introduce and investigate the concept of Stratified Algebra, a new algebraic framework equipped with a layer-based structure on a vector space. We formalize a set of axioms governing intra-layer and inter-layer interactions, study their…

General Mathematics · Mathematics 2025-05-27 Stanislav Semenov

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

Pressed by the difficulty of writing asynchronous, event-driven code, mainstream languages have recently been building in support for a variety of advanced control-flow features. Meanwhile, experimental language designs have suggested…

Programming Languages · Computer Science 2020-10-20 Yizhou Zhang , Guido Salvaneschi , Andrew C. Myers

Structural operational semantics can be studied at the general level of distributive laws of syntax over behaviour. This yields specification formats for well-behaved algebraic operations on final coalgebras, which are a domain for the…

Logic in Computer Science · Computer Science 2012-08-15 Marcello M. Bonsangue , Stefan Milius , Jurriaan Rot

We study the algebraic effects and handlers as a way to support decision-making abstractions in functional programs, whereas a user can ask a learning algorithm to resolve choices without implementing the underlying selection mechanism, and…

Programming Languages · Computer Science 2022-03-30 Ugo Dal Lago , Francesco Gavazzo , Alexis Ghyselen

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

Algebraic effects and handlers are a mechanism to structure programs with computational effects in a modular way. They are recently gaining popularity and being adopted in practical languages, such as OCaml. Meanwhile, there has been…

Programming Languages · Computer Science 2023-11-20 Fuga Kawamata , Hiroshi Unno , Taro Sekiyama , Tachio Terauchi

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
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