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It is discussed a practical possibility of a provable programming of mathematics basing on intuitionism and the dependent types feature of a programming language.The principles of constructive mathematics and provable programming are…

Logic in Computer Science · Computer Science 2017-09-07 Sergei D. Meshveliani

Augmenting Transformers with linguistic structures effectively enhances the syntactic generalization performance of language models. Previous work in this direction focuses on syntactic tree structures of languages, in particular…

Computation and Language · Computer Science 2026-05-18 Tianyu Huang , Yida Zhao , Chuyan Zhou , Kewei Tu

Understanding how subsets of items are chosen from offered sets is critical to assortment planning, wireless network planning, and many other applications. There are two seemingly unrelated subset choice models that capture dependencies…

Machine Learning · Computer Science 2023-02-23 Sander Aarts , David B. Shmoys , Alex Coy

This work originates from the observation that today's state-of-the-art statistical language models are impressive not only for their performance, but also - and quite crucially - because they are built entirely from correlations in…

Computation and Language · Computer Science 2024-08-07 Tai-Danae Bradley , Yiannis Vlassopoulos

Reasoning over knowledge graphs is traditionally built upon a hierarchy of languages in the Semantic Web Stack. Starting from the Resource Description Framework (RDF) for knowledge graphs, more advanced constructs have been introduced…

Formal Languages and Automata Theory · Computer Science 2020-03-10 Zhangsheng Lai , Aik Beng Ng , Liang Ze Wong , Simon See , Shaowei Lin

This work proposes a dependent type theory that combines functions and session-typed processes (with value dependencies) through a contextual monad, internalising typed processes in a dependently-typed lambda-calculus. The proposed…

Programming Languages · Computer Science 2018-01-25 Bernardo Toninho , Nobuko Yoshida

Type classes are an elegant extension to traditional, Hindley-Milner based typing systems. They are used in modern, typed languages such as Haskell to support controlled overloading of symbols. Haskell 98 supports only single-parameter and…

Programming Languages · Computer Science 2007-05-23 Kevin Glynn , Martin Sulzmann , Peter J. Stuckey

Inductive families provide a convenient way of programming with dependent types. Yet, when it comes to compilation, their default linked-tree runtime representations, as well as the need to convert between different indexed views of the…

Programming Languages · Computer Science 2025-05-29 Constantine Theocharis , Edwin Brady

When scripts in untyped languages grow into large programs, maintaining them becomes difficult. A lack of explicit type annotations in typical scripting languages forces programmers to must (re)discover critical pieces of design information…

Programming Languages · Computer Science 2011-06-15 Sam Tobin-Hochstadt , Matthias Felleisen

Algebraic theories with dependency between sorts form the structural core of Martin-L\"of type theory and similar systems. Their denotational semantics are typically studied using categorical techniques; many different categorical…

Category Theory · Mathematics 2024-12-31 Benedikt Ahrens , Peter LeFanu Lumsdaine , Paige Randall North

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

Data values in a dataset can be missing or anomalous due to mishandling or human error. Analysing data with missing values can create bias and affect the inferences. Several analysis methods, such as principle components analysis or…

Artificial Intelligence · Computer Science 2022-05-11 Sandeep Hans , Diptikalyan Saha , Aniya Aggarwal

This paper explores the task of leveraging typology in the context of cross-lingual dependency parsing. While this linguistic information has shown great promise in pre-neural parsing, results for neural architectures have been mixed. The…

Computation and Language · Computer Science 2019-09-23 Adam Fisch , Jiang Guo , Regina Barzilay

Supervised training of abstractive language generation models results in learning conditional probabilities over language sequences based on the supervised training signal. When the training signal contains a variety of writing styles, such…

Computation and Language · Computer Science 2018-04-12 Ye Zhang , Nan Ding , Radu Soricut

We employ the dependently-typed programming language Agda2 to explore formalisation of untyped and typed term graphs directly as set-based graph structures, via the gs-monoidal categories of Corradini and Gadducci, and as nested…

Logic in Computer Science · Computer Science 2011-02-15 Wolfram Kahl

Recent works have shown the power of linear indexed type systems for enforcing complex program properties. These systems combine linear types with a language of type-level indices, allowing more fine-grained analyses. Such systems have been…

Logic in Computer Science · Computer Science 2018-03-16 Arthur Azevedo de Amorim , Emilio Jesús Gallego Arias , Marco Gaboardi , Justin Hsu

A key challenge when statically typing so-called dynamic languages is the ubiquity of value-based overloading, where a given function can dynamically reflect upon and behave according to the types of its arguments. Thus, to establish basic…

Programming Languages · Computer Science 2015-05-01 Panagiotis Vekris , Benjamin Cosman , Ranjit Jhala

We demonstrate that a dependency parser can be built using a credit assignment compiler which removes the burden of worrying about low-level machine learning details from the parser implementation. The result is a simple parser which…

Computation and Language · Computer Science 2015-05-11 Kai-Wei Chang , He He , Hal Daumé , John Langford

Gradual dependent types can help with the incremental adoption of dependently typed code by providing a principled semantics for imprecise types and proofs, where some parts have been omitted. Current theories of gradual dependent types,…

Programming Languages · Computer Science 2022-05-04 Joseph Eremondi , Ronald Garcia , Éric Tanter

We describe a cross-lingual adaptation method based on syntactic parse trees obtained from the Universal Dependencies (UD), which are consistent across languages, to develop classifiers in low-resource languages. The idea of UD parsing is…

Computation and Language · Computer Science 2020-03-31 Nasrin Taghizadeh , Heshaam Faili
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