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A generalized set theory (GST) is like a standard set theory but also can have non-set structured objects that can contain other structured objects including sets. This paper presents Isabelle/HOL support for GSTs, which are treated as type…

计算机科学中的逻辑 · 计算机科学 2022-07-26 Ciarán Dunne , J. B. Wells

RRULES is presented as an improvement and optimization over RULES, a simple inductive learning algorithm for extracting IF-THEN rules from a set of training examples. RRULES optimizes the algorithm by implementing a more effective mechanism…

机器学习 · 计算机科学 2021-06-15 Rafel Palliser-Sans

We present an impossibility result, called a theorem about facts and words, which pertains to a general communication system. The theorem states that the number of distinct words used in a finite text is roughly greater than the number of…

信息论 · 计算机科学 2022-11-03 Łukasz Dębowski

The reduction algorithm is used to compute reduced ideals of a number field. However, there are reduced ideals that can never be obtained from this algorithm. In this paper, we will show that these ideals have inverses of larger norms among…

数论 · 数学 2018-08-17 Ha Thanh Nguyen Tran

Set constraints provide a highly general way to formulate program analyses. However, solving arbitrary boolean combinations of set constraints is NEXPTIME-hard. Moreover, while theoretical algorithms to solve arbitrary set constraints…

编程语言 · 计算机科学 2020-03-03 Joseph Eremondi

Verification of properties expressed as $\omega$-regular languages such as LTL can benefit hugely from stutter insensitivity, using a diverse set of reduction strategies. However properties that are not stutter invariant, for instance due…

形式语言与自动机理论 · 计算机科学 2025-05-28 Emmanuel Paviot-Adet , Denis Poitrenaud , Etienne Renault , Yann Thierry-Mieg

This paper aims to provide an analysis of what it means when we say that a pair of theories, very generously construed, are equivalent in the sense that they are interdefinable. With regard to theories articulated in first order logic, we…

逻辑 · 数学 2025-11-05 Toby Meadows

Various iterative reconstruction algorithms for inverse problems can be unfolded as neural networks. Empirically, this approach has often led to improved results, but theoretical guarantees are still scarce. While some progress on…

统计理论 · 数学 2021-08-16 Arash Behboodi , Holger Rauhut , Ekkehard Schnoor

We propose a process for investigating the extent to which sentence representations arising from neural machine translation (NMT) systems encode distinct semantic phenomena. We use these representations as features to train a natural…

计算与语言 · 计算机科学 2018-05-08 Adam Poliak , Yonatan Belinkov , James Glass , Benjamin Van Durme

In recent years, machine translation software has increasingly been integrated into our daily lives. People routinely use machine translation for various applications, such as describing symptoms to a foreign doctor and reading political…

软件工程 · 计算机科学 2020-07-15 Pinjia He , Clara Meister , Zhendong Su

Reordering is a challenge to machine translation (MT) systems. In MT, the widely used approach is to apply word based language model (LM) which considers the constituent units of a sentence as words. In speech recognition (SR), some phrase…

计算与语言 · 计算机科学 2015-02-19 Geliang Chen

Progress in Natural Language Processing (NLP) has been dictated by the rule of more: more data, more computing power and more complexity, best exemplified by the Large Language Models. However, training (or fine-tuning) large dense models…

计算与语言 · 计算机科学 2025-06-10 Washington Cunha , Leonardo Rocha , Marcos André Gonçalves

This paper deals with formulas of set theory which force the infinity. For such formulas, we provide a technique to infer satisfiability from a finite assignment.

逻辑 · 数学 2016-09-07 Pietro Ursino

We firstly show that the standard interpretation of natural quantification in mathematical logic does not provide a satisfying account of its original richness. In particular, it ignores the difference between generic and distributive…

逻辑 · 数学 2011-07-12 Michele Abrusci , Christian Retoré

Neural machine translation (NMT) approaches have improved the state of the art in many machine translation settings over the last couple of years, but they require large amounts of training data to produce sensible output. We demonstrate…

计算与语言 · 计算机科学 2017-08-22 Robert Östling , Jörg Tiedemann

Given a machine learning (ML) model and a prediction, explanations can be defined as sets of features which are sufficient for the prediction. In some applications, and besides asking for an explanation, it is also critical to understand…

机器学习 · 计算机科学 2023-02-08 Xuanxiang Huang , Martin C. Cooper , Antonio Morgado , Jordi Planes , Joao Marques-Silva

Neural Machine Translation systems are used in diverse applications due to their impressive performance. However, recent studies have shown that these systems are vulnerable to carefully crafted small perturbations to their inputs, known as…

计算与语言 · 计算机科学 2024-11-20 Sahar Sadrizadeh , César Descalzo , Ljiljana Dolamic , Pascal Frossard

In this short communication it is discussed the relation between disentangled states and algorithmic information theory aiming to construct an irreducible sentence whose length increases in a non-polynomial way when the number of qubits…

计算复杂性 · 计算机科学 2007-07-13 Rubens Viana Ramos

Phrase-based statistical machine translation (SMT) systems have previously been used for the task of grammatical error correction (GEC) to achieve state-of-the-art accuracy. The superiority of SMT systems comes from their ability to learn…

计算与语言 · 计算机科学 2016-06-02 Shamil Chollampatt , Kaveh Taghipour , Hwee Tou Ng

Monotonicity reasoning is one of the important reasoning skills for any intelligent natural language inference (NLI) model in that it requires the ability to capture the interaction between lexical and syntactic structures. Since no test…

计算与语言 · 计算机科学 2019-06-28 Hitomi Yanaka , Koji Mineshima , Daisuke Bekki , Kentaro Inui , Satoshi Sekine , Lasha Abzianidze , Johan Bos