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We present a new model of Guarded Dependent Type Theory (GDTT), a type theory with guarded recursion and multiple clocks in which one can program with, and reason about coinductive types. Productivity of recursively defined coinductive…

Logic in Computer Science · Computer Science 2020-04-14 Aleš Bizjak , Rasmus Ejlers Møgelberg

This paper presents the first implementation of session types in a dynamically-typed language - Python. Communication safety of the whole system is guaranteed at runtime by monitors that check the execution traces comply with an associated…

Programming Languages · Computer Science 2013-12-11 Rumyana Neykova

Deadlocks occur in concurrent programs as a consequence of cyclic resource acquisition between threads. In this paper we present a novel type system that guarantees deadlock freedom for a language with references, unstructured locking…

Programming Languages · Computer Science 2011-10-20 Prodromos Gerakios , Nikolaos Papaspyrou , Konstantinos Sagonas

Repetitive patterns are ubiquitous in natural and human-made objects, and can be created with a variety of tools and methods. Manual authoring provides unmatched degree of freedom and control, but can require significant artistic expertise…

Graphics · Computer Science 2020-12-16 Peihan Tu , Li-Yi Wei , Koji Yatani , Takeo Igarashi , Matthias Zwicker

We present a prescriptive type system with parametric polymorphism and subtyping for constraint logic programs. The aim of this type system is to detect programming errors statically. It introduces a type discipline for constraint logic…

Programming Languages · Computer Science 2009-09-29 Francois Fages , Emmanuel Coquery

We describe a Martin-L\"of style dependent type theory, called Cocon, that allows us to mix the intensional function space that is used to represent higher-order abstract syntax (HOAS) trees with the extensional function space that…

Programming Languages · Computer Science 2019-01-14 Brigitte Pientka , Andreas Abel , Francisco Ferreira , David Thibodeau , Rebecca Zucchini

Dependent types provide a lightweight and modular means to integrate programming and formal program verification. In particular, the types of programs written in dependently typed programming languages (Agda, Idris, F*, etc.) can be used to…

Logic in Computer Science · Computer Science 2017-10-10 Danel Ahman

The expression problem describes a fundamental tradeoff between two types of extensibility: extending a type with new operations, such as by pattern matching on an algebraic data type in functional programming, and extending a type with new…

Programming Languages · Computer Science 2025-11-21 Bohdan Liesnikov , David Binder , Tim Süberkrüb

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

The aim of the paper is to provide solid foundations for a programming paradigm natively supporting the creation and manipulation of cyclic data structures. To this end, we describe coFJ, a Java-like calculus where objects can be infinite…

Programming Languages · Computer Science 2020-05-29 Davide Ancona , Pietro Barbieri , Francesco Dagnino , Elena Zucca

Fold functions are a general mechanism for computing over recursive data structures. First-order folds compute results bottom-up. With higher-order folds, computations that inherit attributes from above can also be expressed. In this paper,…

Programming Languages · Computer Science 2013-09-23 J. Launchbury , S. Krstic , T. E. Sauerwein

We propose a variant of chain of thought (CoT) prompting called Program Trace Prompting that makes explanations more observable while preserving the power, generality and flexibility of CoT. In our approach, few-shot CoT demonstrations are…

Computation and Language · Computer Science 2024-10-03 Cassandra A. Cohen , William W. Cohen

Gradual typing enables programmers to combine static and dynamic typing in the same language. However, ensuring a sound interaction between the static and dynamic parts can incur significant runtime cost. In this paper, we perform a…

Programming Languages · Computer Science 2019-02-22 Michael M. Vitousek , Jeremy G. Siek , Avik Chaudhuri

In concurrent and distributed systems, software components are expected to communicate according to predetermined protocols and APIs - and if a component does not observe them, the system's reliability is compromised. Furthermore, isolating…

Programming Languages · Computer Science 2021-05-25 Christian Batrolo Burlò , Adrian Francalanza , Alceste Scalas

Dynamically typed programming languages are popular in education and the software industry. While presenting a low barrier to entry, they suffer from run-time type errors and longer-term problems in code quality and maintainability.…

Human-Computer Interaction · Computer Science 2023-03-20 Shuai Fu , Tim Dwyer , Peter J. Stuckey , Jackson Wain , Jesse Linossier

Gradually-typed languages feature a dynamic type that supports implicit coercions, greatly weakening the type system but making types easier to adopt. Understanding how developers use this dynamic type is a critical question for the design…

Programming Languages · Computer Science 2025-03-13 Dibri Nsofor , Ben Greenman

The Julia programming language was designed to fill the needs of scientific computing by combining the benefits of productivity and performance languages. Julia allows users to write untyped scripts easily without needing to worry about…

Programming Languages · Computer Science 2023-10-27 Benjamin Chung

We introduce a new two-sided type system for verifying the correctness and incorrectness of functional programs with atoms and pattern matching. A key idea in the work is that types should range over sets of normal forms, rather than sets…

Programming Languages · Computer Science 2026-05-11 Celia Mengyue Li , Sophie Pull , Steven Ramsay

Type classes are a popular tool for implementing generic algorithms and data structures without loss of efficiency, bridging the gap between parametric and ad-hoc polymorphism. Since their initial development in Haskell, they now feature…

Programming Languages · Computer Science 2025-03-03 Dimi Racordon , Eugene Flesselle , Cao Nguyen Pham

Gradual typing has gained popularity as a design choice for integrating static and dynamic typing within a single language. Several practical languages have adopted gradual typing to offer programmers the flexibility to annotate their…

Programming Languages · Computer Science 2026-03-09 Senxi Li , Feng Dai , Tetsuro Yamazaki , Shigeru Chiba