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Effect handlers are a powerful abstraction for defining, customising, and composing computational effects. Statically ensuring that all effect operations are handled requires some form of effect system, but using a traditional effect system…

Programming Languages · Computer Science 2025-03-20 Wenhao Tang , Leo White , Stephen Dolan , Daniel Hillerström , Sam Lindley , Anton Lorenzen

Sequential effect systems are a class of effect system that exploits information about program order, rather than discarding it as traditional commutative effect systems do. This extra expressive power allows effect systems to reason about…

Programming Languages · Computer Science 2020-05-18 Colin S. Gordon

We show how to smoothly incorporate in the object-oriented paradigm constructs to raise, compose, and handle effects in an arbitrary monad. The underlying pure calculus is meant to be a representative of the last generation of OO languages,…

Programming Languages · Computer Science 2025-04-23 Francesco Dagnino , Paola Giannini , Elena Zucca

We present an effect system for core Eff, a simplified variant of Eff, which is an ML-style programming language with first-class algebraic effects and handlers. We define an expressive effect system and prove safety of operational…

Programming Languages · Computer Science 2015-07-01 Andrej Bauer , Matija Pretnar

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

Type-and-effect systems help the programmer to organize data and computational effects in a program. While for traditional type systems expressive variants with sophisticated inference algorithms have been developed and widely used in…

Programming Languages · Computer Science 2025-10-24 Patrycja Balik , Szymon Jędras , Piotr Polesiuk

Type-and-effect systems are a widely-used approach to program verification, verifying the result of a computation using types, and the behavior using effects. This paper extends an effect system for verifying temporal, value-dependent…

Programming Languages · Computer Science 2022-07-22 Taro Sekiyama , Hiroshi Unno

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 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

Capabilities (whether object or reference capabilities) are fundamentally tools to restrict effects. Thus static capabilities (object or reference) and effect systems take different technical machinery to the same core problem of statically…

Programming Languages · Computer Science 2020-05-27 Colin S. Gordon

We present a complete polymorphic effect inference algorithm for an ML-style language with handlers of not only exceptions, but of any other algebraic effect such as input & output, mutable references and many others. Our main aim is to…

Programming Languages · Computer Science 2015-07-01 Matija Pretnar

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

We explore the design and implementation of Frank, a strict functional programming language with a bidirectional effect type system designed from the ground up around a novel variant of Plotkin and Pretnar's effect handler abstraction.…

Programming Languages · Computer Science 2017-10-04 Sam Lindley , Conor McBride , Craig McLaughlin

We present a straightforward, sound Hindley-Milner polymorphic type system for algebraic effects and handlers in a call-by-value calculus, which allows type variable generalisation of arbitrary computations, not just values. This result is…

Programming Languages · Computer Science 2017-04-20 Ohad Kammar , Matija Pretnar

We establish a general framework for reasoning about the relationship between call-by-value and call-by-name. In languages with computational effects, call-by-value and call-by-name executions of programs often have different, but related,…

Programming Languages · Computer Science 2024-08-07 Dylan McDermott , Alan Mycroft

Guarded Interaction Trees are a structure and a fully formalized framework for representing higher-order computations with higher-order effects in Rocq. We present an extension of Guarded Interaction Trees to support formal reasoning about…

Logic in Computer Science · Computer Science 2025-12-15 Sergei Stepanenko , Emma Nardino , Virgil Marionneau , Dan Frumin , Amin Timany , Lars Birkedal

This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (functional) language. Although these paradigms are separately…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Francois-Xavier Josset , Francois Laburthe

Algebraic effects and handlers are a powerful abstraction to build non-local control-flow mechanisms such as resumable exceptions, lightweight threads, co-routines, generators, and asynchronous I/O. All of such features have very evolved…

Logic in Computer Science · Computer Science 2023-02-08 Tiago Soares , Mário Pereira

In today's complex software, internal trusted code is tightly intertwined with external untrusted code. To reason about internal code, programmers must reason about the potential effects of calls to external code, even though that code is…

Programming Languages · Computer Science 2025-11-25 Sophia Drossopoulou , Julian Mackay , Susan Eisenbach , James Noble

Type systems usually characterize the shape of values but not their free variables. However, there are many desirable safety properties one could guarantee if one could track how references can escape. For example, one may implement…

Programming Languages · Computer Science 2021-05-26 Aleksander Boruch-Gruszecki , Jonathan Immanuel Brachthäuser , Edward Lee , Ondřej Lhoták , Martin Odersky
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