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Herman et al. pointed out that the insertion of run-time checks into a gradually typed program could hamper tail-call optimization and, as a result, worsen the space complexity of the program. To address the problem, they proposed a…

Programming Languages · Computer Science 2020-11-11 Yuya Tsuda , Atsushi Igarashi , Tomoya Tabuchi

Constructive type theory combines logic and programming in one language. This is useful both for reasoning about programs written in type theory, as well as for reasoning about other programming languages inside type theory. It is…

Programming Languages · Computer Science 2024-10-25 Philipp Jan Andries Stassen , Rasmus Ejlers Møgelberg , Maaike Zwart , Alejandro Aguirre , Lars Birkedal

A linear parameter must be consumed exactly once in the body of its function. When declaring resources such as file handles and manually managed memory as linear arguments, a linear type system can verify that these resources are used…

Programming Languages · Computer Science 2022-07-25 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard Eisenberg

We formalize a new type system for Elixir, a dynamically typed functional programming language of growing popularity that runs on the Erlang virtual machine. Our system combines gradual typing with semantic subtyping to enable precise,…

Programming Languages · Computer Science 2025-09-30 Giuseppe Castagna , Guillaume Duboc

We introduce Trankit, a light-weight Transformer-based Toolkit for multilingual Natural Language Processing (NLP). It provides a trainable pipeline for fundamental NLP tasks over 100 languages, and 90 pretrained pipelines for 56 languages.…

Computation and Language · Computer Science 2021-10-18 Minh Van Nguyen , Viet Dac Lai , Amir Pouran Ben Veyseh , Thien Huu Nguyen

Refinement types enrich a language's type system with logical predicates that circumscribe the set of values described by the type, thereby providing software developers a tunable knob with which to inform the type system about what…

Programming Languages · Computer Science 2020-10-16 Ranjit Jhala , Niki Vazou

Gradual typing enables developers to annotate types of their own choosing, offering a flexible middle ground between no type annotations and a fully statically typed language. As more and more code bases get type-annotated, static type…

Software Engineering · Computer Science 2024-01-15 Yiu Wai Chow , Luca Di Grazia , Michael Pradel

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

This work studies gradual typing for row types and row polymorphism. Key ingredients in this work are the dynamic row type, which represents a statically unknown part of a row, and consistency for row types, which allows injecting static…

Programming Languages · Computer Science 2019-10-23 Taro Sekiyama , Atsushi Igarashi

In current Large Language Models we can trust the production of smoothly flowing prose on the basis of the principles of machine learning. However, there is no comparably principled basis to justify trust in the content of the text…

Artificial Intelligence · Computer Science 2026-05-15 Leslie G. Valiant

Large language models can exhibit emergent reasoning behaviors, often manifested as recurring lexical patterns (e.g., "wait," indicating verification). However, complex reasoning trajectories remain sparse in unconstrained sampling, and…

Artificial Intelligence · Computer Science 2026-03-03 Po-Nien Kung , Zhen Yang , Jeffrey Luo , Cheng-Fu Yang , Haikang Deng , Zi-Yi Dou , Yinfei Yang , Nanyun Peng , Zhe Gan , Kai-Wei Chang

Recently, dynamically typed languages, such as Python, have gained unprecedented popularity. Although these languages alleviate the need for mandatory type annotations, types still play a critical role in program understanding and…

Programming Languages · Computer Science 2022-02-08 Ibrahim Abdelaziz , Julian Dolby , Kavitha Srinivas

Many variants of type theory extend a basic theory with additional primitives or properties like univalence, guarded recursion or parametricity, to enable constructions or proofs that would be harder or impossible to do in the original…

Programming Languages · Computer Science 2022-07-05 Joris Ceulemans , Andreas Nuyts , Dominique Devriese

We present {\lambda}ert, a type theory supporting refinement types with explicit proofs. Instead of solving refinement constraints with an SMT solver like DML and Liquid Haskell, our system requires and permits programmers to embed proofs…

Programming Languages · Computer Science 2023-11-27 Jad Elkhaleq Ghalayini , Neel Krishnaswami

Transferring composite data structures with variable-length fields often requires designing unique protocols, causing incompatibility issues and decreased collaboration among hardware developers, especially in the open-source community.…

Hardware Architecture · Computer Science 2023-11-15 Yongding Tian , Matthijs A. Reukers , Zaid Al-Ars , Peter Hofstee , Matthijs Brobbel , Johan Peltenburg , Jeroen van Straten

Practical checkers based on refinement types use the combination of implicit semantic sub-typing and parametric polymorphism to simplify the specification and automate the verification of sophisticated properties of programs. However, a…

Programming Languages · Computer Science 2022-07-13 Michael Borkowski , Niki Vazou , Ranjit Jhala

Token prediction stability remains a challenge in autoregressive generative models, where minor variations in early inference steps often lead to significant semantic drift over extended sequences. A structured modulation mechanism was…

This paper attempts a more formal approach to the legibility of text based programming languages, presenting, with proof, minimum possible ways of representing structure in text interleaved with information. This presumes that a minimalist…

Programming Languages · Computer Science 2017-06-06 Brenton Chapin

The organization of latent knowledge within large-scale models poses unique challenges when addressing overlapping representations and optimizing contextual accuracy. Conceptual redundancies embedded across layers often result in…

Computation and Language · Computer Science 2025-03-26 Joseph Sakau , Evander Kozlowski , Roderick Thistledown , Basil Steinberger

Efficiently supporting sound gradual typing in a language with structural types is challenging. To date, the Grift compiler is the only close-to-the-metal implementation of gradual typing in this setting, exploiting coercions for runtime…

Programming Languages · Computer Science 2025-12-30 José Luis Romero , Cristóbal Isla , Matías Toro , Éric Tanter
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