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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

Object-Oriented Programming (OOP) has become a crucial paradigm for managing the growing complexity of modern software systems, particularly in fields like machine learning, deep learning, large language models (LLM), and data analytics.…

Computation and Language · Computer Science 2025-12-24 Tianyang Wang , Ziqian Bi , Keyu Chen , Jiawei Xu , Qian Niu , Junyu Liu , Benji Peng , Ming Li , Sen Zhang , Xuanhe Pan , Jinlang Wang , Pohsun Feng , Yizhu Wen , Xinyuan Song , Ming Liu

Context: Tables are ubiquitous formats for data. Therefore, techniques for writing correct programs over tables, and debugging incorrect ones, are vital. Our specific focus in this paper is on rich types that articulate the properties of…

Programming Languages · Computer Science 2021-11-23 Kuang-Chen Lu , Ben Greenman , Shriram Krishnamurthi

In the theory of programming languages, type inference is the process of inferring the type of an expression automatically, often making use of information from the context in which the expression appears. Such mechanisms turn out to be…

Logic in Computer Science · Computer Science 2012-05-10 Jeremy Avigad

We present a type system capable of guaranteeing the memory safety of programs that may involve (sophisticated) pointer manipulation such as pointer arithmetic. With its root in a recently developed framework Applied Type System (ATS), the…

Programming Languages · Computer Science 2018-10-30 Hongwei Xi , Dengping Zhu

We describe a type system for a platform called the General Intensional Programming System (GIPSY), designed to support intensional programming languages built upon intensional logic and their imperative counter-parts for the intensional…

Logic in Computer Science · Computer Science 2009-12-21 Serguei A. Mokhov , Joey Paquet

Gradual typing is an approach to integrating static and dynamic typing within the same language, and puts the programmer in control of which regions of code are type checked at compile-time and which are type checked at run-time. In this…

Programming Languages · Computer Science 2019-09-16 Matteo Cimini

We classify programming languages according to evaluation order: each language fixes one evaluation order as the default, making it transparent to program in that evaluation order, and troublesome to program in the other. This paper…

Programming Languages · Computer Science 2020-08-25 Jana Dunfield

In this essay, I present the advantages and, I dare say, the beauty of programming in a language with set-theoretic types, that is, types that include union, intersection, and negation type connectives. I show by several examples how…

Programming Languages · Computer Science 2024-11-18 Giuseppe Castagna

Optional type annotations allow for enriching dynamic programming languages with static typing features like better Integrated Development Environment (IDE) support, more precise program analysis, and early detection and prevention of…

Software Engineering · Computer Science 2023-07-31 Bernd Gruner , Tim Sonnekalb , Thomas S. Heinze , Clemens-Alexander Brust

Programming is an integral part of computer science discipline. Every day the programming environment is not only rapidly growing but also changing and languages are constantly evolving. Learning of object-oriented paradigm is compulsory in…

Programming Languages · Computer Science 2023-06-06 Muhammad Shoaib Farooq , Taymour zaman Khan

In this tutorial I will present how a combination of linear and dependent type can be useful to describe different properties about higher order programs. Linear types have been proved particularly useful to express properties of functions;…

Programming Languages · Computer Science 2013-07-01 Marco Gaboardi

We combine dependent types with linear type systems that soundly and completely capture polynomial time computation. We explore two systems for capturing polynomial time: one system that disallows construction of iterable data, and one,…

Logic in Computer Science · Computer Science 2023-11-16 Robert Atkey

Typed Clojure is an optional type system for Clojure, a dynamic language in the Lisp family that targets the JVM. Typed Clojure enables Clojure programmers to gain greater confidence in the correctness of their code via static type checking…

Programming Languages · Computer Science 2018-12-11 Ambrose Bonnaire-Sergeant , Rowan Davies , Sam Tobin-Hochstadt

We present programming techniques to illustrate the facilities and principles of C++ generic programming using concepts. Concepts are C++'s way to express constraints on generic code. As an initial example, we provide a simple type system…

Programming Languages · Computer Science 2025-10-13 Bjarne Stroustrup

Type inference is an application domain that is a natural fit for logic programming (LP). LP systems natively support unification, which serves as a basic building block of typical type inference algorithms. In particular, polymorphic type…

Programming Languages · Computer Science 2017-09-13 Ki Yung Ahn

Can we use the flow of information to understand type systems? I present two familiar type systems in pursuit of an `Information Aware' style, using information effects to reveal data flow and help in implementing them. I also calculate a…

Programming Languages · Computer Science 2024-12-24 Philippa Cowderoy

Intersection types have been originally developed as an extension of simple types, but they can also be used for refining simple types. In this survey we concentrate on the latter option; more precisely, on the use of intersection types for…

Logic in Computer Science · Computer Science 2019-04-24 Paweł Parys

We explore an approach to type-directed program synthesis rooted in constraint-based type inference techniques. By doing this, we aim to more efficiently synthesize polymorphic code while also tackling advanced typing features such as GADTs…

Programming Languages · Computer Science 2019-07-09 Peter-Michael Osera

Data intensive workloads have become a popular use of HPC in recent years and the question of how data scientists, who might not be HPC experts, can effectively program these machines is important to address. Whilst using models such as…

Programming Languages · Computer Science 2020-09-29 Nick Brown
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