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We show how to systematically implement an algorithm in any imperative or functional programming language. The method is based on the premise that it is easy to write down how an algorithm proceeds on a concrete input. This…

Software Engineering · Computer Science 2020-04-28 Maurice Chandoo

Variable environment is the time-honored way of making sense of free variables, used in programming language theory as well when writing interpreters and some compilers. Algebraic effects give another way, as was pointed already at HOPE…

Programming Languages · Computer Science 2023-12-29 Oleg Kiselyov

We introduce a functional reactive programming language that extends WORMHOLES, an enhancement of YAMPA with support for effects. Our proposal relaxes the constraint in WORMHOLES that restricts all resources to single-use. Resources are…

Programming Languages · Computer Science 2025-03-11 Frédéric Dabrowski , Jordan Ischard

Algebraic effects offer a versatile framework that covers a wide variety of effects. However, the family of operations that delimit scopes are not algebraic and are usually modelled as handlers, thus preventing them from being used freely…

Programming Languages · Computer Science 2022-01-26 Zhixuan Yang , Marco Paviotti , Nicolas Wu , Birthe van den Berg , Tom Schrijvers

Many object-oriented dynamic languages allow programmers to _extract methods_ from objects and treat them as functions. This allows for flexible programming patterns, but presents challenges for type systems. In particular, a simple…

Programming Languages · Computer Science 2021-11-23 Yuquan Fu , Sam Tobin-Hochstadt

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

We present a system for the automatic differentiation of a higher-order functional array-processing language. The core functional language underlying this system simultaneously supports both source-to-source automatic differentiation and…

Mathematical Software · Computer Science 2018-06-07 Amir Shaikhha , Andrew Fitzgibbon , Dimitrios Vytiniotis , Simon Peyton Jones , Christoph Koch

We reflect on programming with complicated effects, recalling an undeservingly forgotten alternative to monadic programming and checking to see how well it can actually work in modern functional languages. We adopt and argue the position of…

Programming Languages · Computer Science 2019-05-17 Oleg Kiselyov

We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate…

Logic in Computer Science · Computer Science 2010-07-23 Hariolf Betz , Frank Raiser , Thom Frühwirth

The idea of using unfolding as a way of computing a program semantics has been applied successfully to logic programs and has shown itself a powerful tool that provides concrete, implementable results, as its outcome is actually source…

Programming Languages · Computer Science 2017-08-29 José María Rey-Poza , Julio Mariño-Carballo

Formal grammars are extensively used in Computer Science and related fields to study the rules which govern production of a language. The use of these grammars can be extended beyond mere language production. One possibility is to view…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Abhinav Aggarwal

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

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

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

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

Real world programming languages crucially depend on the availability of computational effects to achieve programming convenience and expressive power as well as program efficiency. Logical frameworks rely on predicates, or dependent types,…

Logic in Computer Science · Computer Science 2017-12-07 Matthijs Vákár

We present a simple functional programming language, called Dual PCF, that implements forward mode automatic differentiation using dual numbers in the framework of exact real number computation. The main new feature of this language is the…

Logic in Computer Science · Computer Science 2025-02-03 Pietro Di Gianantonio , Abbas Edalat , Ran Gutin

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida

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