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We examine the convergence properties of sequences of nonnegative real numbers that satisfy a particular class of recursive inequalities, from the perspective of proof theory and computability theory. We first establish a number of results…

Logic · Mathematics 2023-05-02 Morenikeji Neri , Thomas Powell

Whilst there have been great advances in HPC hardware and software in recent years, the languages and models that we use to program these machines have remained much more static. This is not from a lack of effort, but instead by virtue of…

Programming Languages · Computer Science 2016-10-31 Nick Brown

The design of metaprogramming languages requires appreciation of the tradeoffs that exist between important language characteristics such as safety properties, expressive power, and succinctness. Unfortunately, such tradeoffs are little…

Programming Languages · Computer Science 2009-09-29 Todd L. Veldhuizen

Relational type systems have been designed for several applications including information flow, differential privacy, and cost analysis. In order to achieve the best results, these systems often use relational refinements and relational…

Programming Languages · Computer Science 2020-11-18 Ezgi Çiçek , Weihao Qu , Gilles Barthe , Marco Gaboardi , Deepak Garg

We introduce conditional unigram tokenization, a novel approach that extends unigram tokenization by conditioning target token probabilities on source-language tokens from parallel data. Given a fixed source tokenizer, our method learns a…

Computation and Language · Computer Science 2025-07-11 Gianluca Vico , Jindřinch Libovický

A type system is introduced for a generic Object Oriented programming language in order to infer resource upper bounds. A sound andcomplete characterization of the set of polynomial time computable functions is obtained. As a consequence,…

Programming Languages · Computer Science 2018-02-20 Emmanuel Hainry , Romain Péchoux

Reachability types are a recent proposal to bring Rust-style reasoning about memory properties to higher-level languages, with a focus on higher-order functions, parametric types, and shared mutable state -- features that are only partially…

Programming Languages · Computer Science 2025-10-10 Yuyan Bao , Songlin Jia , Guannan Wei , Oliver Bračevac , Tiark Rompf

We present an approach to support partiality in type-level computation without compromising expressiveness or type safety. Existing frameworks for type-level computation either require totality or implicitly assume it. For example, type…

Programming Languages · Computer Science 2017-06-30 J. Garrett Morris , Richard Eisenberg

Reference models in form of best practices are an essential element to ensured knowledge as design for reuse. Popular modeling approaches do not offer mechanisms to embed reference models in a supporting way, let alone a repository of it.…

Databases · Computer Science 2024-07-02 Erik Heiland , Peter Hillmann , Andreas Karcher

Comparative reasoning is a process of comparing objects, concepts, or entities to draw conclusions, which constitutes a fundamental cognitive ability. In this paper, we propose a novel framework to pre-train language models for enhancing…

Computation and Language · Computer Science 2023-11-29 Mengxia Yu , Zhihan Zhang , Wenhao Yu , Meng Jiang

We introduce constraints necessary for type checking a higher-order concurrent constraint language, and solve them with an incremental algorithm. Our constraint system extends rational unification by constraints x$\subseteq$ y saying that…

cmp-lg · Computer Science 2008-02-03 Martin Mueller , Joachim Niehren

Trustworthy artificial intelligence increasingly relies on probabilistic computation to achieve robustness, interpretability, security and privacy. In practical systems, such workloads interleave deterministic data access with repeated…

Machine Learning · Computer Science 2026-03-27 Xueji Zhao , Likai Pei , Jianbo Liu , Kai Ni , Ningyuan Cao

Message-passing concurrency is a popular computation model that underlies several programming languages like, e.g., Erlang, Akka, and (to some extent) Go and Rust. In particular, we consider a message-passing concurrent language with…

Programming Languages · Computer Science 2022-10-07 Germán Vidal

To design efficient parallel algorithms, some recent papers showed that many sequential iterative algorithms can be directly parallelized but there are still challenges in achieving work-efficiency and high-parallelism. Work-efficiency can…

Data Structures and Algorithms · Computer Science 2022-05-27 Zheqi Shen , Zijin Wan , Yan Gu , Yihan Sun

It is usual to consider data protection and learnability as conflicting objectives. This is not always the case: we show how to jointly control inference --- seen as the attack --- and learnability by a noise-free process that mixes…

Machine Learning · Computer Science 2017-03-09 Richard Nock , Giorgio Patrini , Finnian Lattimore , Tiberio Caetano

We revisit occurrence typing, a technique to refine the type of variables occurring in type-cases and, thus, capturesome programming patterns used in untyped languages. Although occurrence typing was tied from its inceptionto set-theoretic…

Programming Languages · Computer Science 2022-02-25 Giuseppe Castagna , Victor Lanvin , Mickaël Laurent , Kim Nguyen

Continual learning addresses the problem of continuously acquiring and transferring knowledge without catastrophic forgetting of old concepts. While humans achieve continual learning via diverse neurocognitive mechanisms, there is a…

Machine Learning · Computer Science 2023-12-07 Xiaoqian Liu , Junge Zhang , Mingyi Zhang , Peipei Yang

We extend Neural Processes (NPs) to sequential data through Recurrent NPs or RNPs, a family of conditional state space models. RNPs model the state space with Neural Processes. Given time series observed on fast real-world time scales but…

Machine Learning · Computer Science 2019-11-07 Timon Willi , Jonathan Masci , Jürgen Schmidhuber , Christian Osendorfer

In this paper we describe how to leverage higher-order unification to type check a dependently typed language with meta-variables. The literature usually presents the unification algorithm as a standalone component, however the need to…

Programming Languages · Computer Science 2016-10-03 Francesco Mazzoli , Andreas Abel

The purpose of this paper is to address some of the challenges of formally specifying components of shared-memory concurrent programs. The focus is to provide an abstract specification of a component that is suitable for use both by clients…

Programming Languages · Computer Science 2018-10-24 Ian J. Hayes
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