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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

In this paper, a monad-based denotational model is introduced and shown adequate for the Proto-Quipper family of calculi, themselves being idealized versions of the Quipper programming language. The use of a monadic approach allows us to…

Programming Languages · Computer Science 2025-12-01 Ken Sakayori , Andrea Colledan , Ugo Dal Lago

We propose a call-by-value lambda calculus extended with a new construct inspired by abductive inference and motivated by the programming idioms of machine learning. Although syntactically simple the abductive construct has a complex and…

Programming Languages · Computer Science 2017-10-12 Koko Muroya , Steven Cheung , Dan R. Ghica

Monads provide a simple and concise interface to user-defined computational effects in functional programming languages. This enables equational reasoning about effects, abstraction over monadic interfaces and the development of monad…

Programming Languages · Computer Science 2025-05-05 Yuchen Jiang , Runze Xue , Max S. New

Free monads (and their variants) have become a popular general-purpose tool for representing the semantics of effectful programs in proof assistants. These data structures support the compositional definition of semantics parameterized by…

Programming Languages · Computer Science 2022-07-28 Yao Li , Stephanie Weirich

Monads are a useful tool for structuring effectful features of computation such as state, non-determinism, and continuations. In the last decade, several generalisations of monads have been suggested which provide a more fine-grained model…

Programming Languages · Computer Science 2020-05-04 Dominic Orchard , Philip Wadler , Harley Eades

Soundness and completeness with respect to equational theories for programming languages are fundamental properties in the study of categorical semantics. However, completeness results have not been established for programming languages…

Logic in Computer Science · Computer Science 2026-02-04 Satoshi Kura

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

This thesis revolves around an area of computer science called "semantics". We work with operational semantics, equational theories, and denotational semantics. The first contribution of this thesis is a study of the commutativity of…

Logic in Computer Science · Computer Science 2024-06-12 Louis Lemonnier

Capture calculus has recently been proposed as a solution to effect checking, achieved by tracking the captured references of terms in the types. Boxes, along with the box and unbox operations, are a crucial construct in capture calculus,…

Programming Languages · Computer Science 2023-06-13 Yichen Xu , Martin Odersky

Completeness proofs in categorical semantics usually proceed by building a syntactic category whose composition is given by substitution. For untyped effectful Call-by-Value languages, this runs into a basic obstacle: there is no canonical…

Programming Languages · Computer Science 2026-05-21 Ariel Grunfeld , Liron Cohen

In the quest to give a formal compositional semantics to natural languages, semanticists have started turning their attention to phenomena that have been also considered as parts of pragmatics (e.g., discourse anaphora and presupposition…

Computation and Language · Computer Science 2015-06-19 Jiri Marsik , Maxime Amblard

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

We propose the first framework for defining relational program logics for arbitrary monadic effects. The framework is embedded within a relational dependent type theory and is highly expressive. At the semantic level, we provide an…

Programming Languages · Computer Science 2019-11-22 Kenji Maillard , Catalin Hritcu , Exequiel Rivas , Antoine Van Muylder

We extend intersection types to a computational $\lambda$-calculus with algebraic operations \`a la Plotkin and Power. We achieve this by considering monadic intersections, whereby computational effects appear not only in the operational…

Programming Languages · Computer Science 2024-01-24 Francesco Gavazzo , Riccardo Treglia , Gabriele Vanoni

We present modular implicits, an extension to the OCaml language for ad-hoc polymorphism inspired by Scala implicits and modular type classes. Modular implicits are based on type-directed implicit module parameters, and elaborate…

Programming Languages · Computer Science 2015-12-08 Leo White , Frédéric Bour , Jeremy Yallop

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

The original purpose of component-based development was to provide techniques to master complex software, through composition, reuse and parametrisation. However, such systems are rapidly moving towards a level in which software becomes…

Logic in Computer Science · Computer Science 2016-08-02 Renato Neves , Luis S. Barbosa , Dirk Hofmann , Manuel A. Martins

We investigate, in the context of functional prototype-based lan- guages, a calculus of objects which might extend themselves upon receiving a message, a capability referred to by Cardelli as a self-inflicted operation. We present a sound…

Programming Languages · Computer Science 2018-08-14 Ciaffaglione Alberto , Di Gianantonio Pietro , Honsell Furio , Liquori Luigi

Type and effect systems are a tool to analyse statically the behaviour of programs with effects. We present a proof based on the so called reducibility candidates that a suitable stratification of the type and effect system entails the…

Logic in Computer Science · Computer Science 2010-07-01 Roberto Amadio