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In this paper, we take a pervasively effectful (in the style of ML) typed lambda calculus, and show how to extend it to permit capturing pure expressions with types. Our key observation is that, just as the pure simply-typed lambda calculus…

Programming Languages · Computer Science 2020-11-12 Vikraman Choudhury , Neel Krishnaswami

We introduce the abstract notions of "monadic operational semantics", a small-step semantics where computational effects are modularly modeled by a monad, and "type-and-effect system", including "effect types" whose interpretation lifts…

Programming Languages · Computer Science 2025-04-15 Francesco Dagnino , Paola Giannini , Elena Zucca

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

Types-and-effects are type systems, which allow one to express general semantic properties and to statically reason about program's execution. They have been widely exploited to specify static analyses, for example to track computational…

Logic in Computer Science · Computer Science 2011-08-12 Letterio Galletta , Giorgio Levi

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

We introduce a type and effect system, for an imperative object calculus, which infers "sharing" possibly introduced by the evaluation of an expression, represented as an equivalence relation among its free variables. This direct…

Programming Languages · Computer Science 2018-08-03 Paola Giannini , Tim Richter , Marco Servetto , Elena Zucca

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 incorporate information about the computational effects, e.g., state mutation, probabilistic choice, or I/O, a program phrase may invoke alongside its return value. A semantics for type-and-effect systems involves a…

Programming Languages · Computer Science 2018-04-11 Ohad Kammar , Dylan McDermott

Efforts to push programming beyond static textual code have sought to imbue programming with multiple distinct qualities. One long-acknowledged quality is liveness: providing programmers with in-depth feedback about a program's dynamic…

Programming Languages · Computer Science 2023-03-14 Joshua Horowitz , Jeffrey Heer

A new behavior descriptive entity type called spec is proposed, which combines the traditional interface with test rules and test cases, to completely specify the desired behavior of each method, and to enforce the behavior-wise correctness…

Programming Languages · Computer Science 2014-08-21 Chengpu Wang

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 study two notions of expressiveness, which have appeared in abstraction theory for model checking, and find them incomparable in general. In particular, we show that according to the most widely used notion, the class of Kripke Modal…

Logic in Computer Science · Computer Science 2012-08-15 Maciej Gazda , Tim A. C. Willemse

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

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

Shape types are a general concept of process types which work for many process calculi. We extend the previously published Poly* system of shape types to support name restriction. We evaluate the expressiveness of the extended system by…

Logic in Computer Science · Computer Science 2010-04-01 Jan Jakubuv , J. B. Wells

Languages vary widely in how meanings map to word forms. These mappings have been found to support efficient communication; however, this theory does not account for systematic relations within word forms. We examine how a restricted set of…

Computation and Language · Computer Science 2026-01-27 Doreen Osmelak , Yang Xu , Michael Hahn , Kate McCurdy

Graded monads refine traditional monads using effect annotations in order to describe quantitatively the computational effects that a program can generate. They have been successfully applied to a variety of formal systems for reasoning…

Logic in Computer Science · Computer Science 2026-01-22 Satoshi Kura , Marco Gaboardi , Taro Sekiyama , Hiroshi Unno

Type systems designed for information-flow control commonly use a program-counter label to track the sensitivity of the context and rule out data leakage arising from effectful computation in a sensitive context. Currently, type-system…

Programming Languages · Computer Science 2021-01-14 Andrew K. Hirsch , Ethan Cecchetti

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

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
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