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We see how nested sequents, a natural generalisation of hypersequents, allow us to develop a systematic proof theory for modal logics. As opposed to other prominent formalisms, such as the display calculus and labelled sequents, nested…

计算机科学中的逻辑 · 计算机科学 2010-04-13 Kai Brünnler

In this work, we present a method of generating a class of nonlinear ordinary differential equations (ODEs), representing the dynamics of appropriate nonlinear oscillators, that have the characteristics of either amplitude independent…

可精确求解与可积系统 · 物理学 2022-04-12 J. Ramya Parkavi , R. Mohanasubha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Classic algorithms and machine learning systems like neural networks are both abundant in everyday life. While classic computer science algorithms are suitable for precise execution of exactly defined tasks such as finding the shortest path…

机器学习 · 计算机科学 2022-09-02 Felix Petersen

Digital circuits, despite having been studied for nearly a century and used at scale for about half that time, have until recently evaded a fully compositional theoretical in which arbitrary circuits may be freely composed together without…

计算机科学中的逻辑 · 计算机科学 2026-05-25 Dan R. Ghica , George Kaye , David Sprunger

The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

编程语言 · 计算机科学 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

Morris and Hirst present a method of linking significant words that are about the same topic. The resulting lexical chains are a means of identifying cohesive regions in a text, with applications in many natural language processing tasks,…

计算与语言 · 计算机科学 2012-04-03 Mario Jarmasz , Stan Szpakowicz

We consider interactive algorithms in the pool-based setting, and in the stream-based setting. Interactive algorithms observe suggested elements (representing actions or queries), and interactively select some of them and receive responses.…

机器学习 · 统计学 2018-11-21 Sivan Sabato , Tom Hess

Generalizations of linear numeration systems in which the set of natural numbers is recognizable by finite automata are obtained by describing an arbitrary infinite regular language following the lexicographic ordering. For these systems of…

其他计算机科学 · 计算机科学 2007-05-23 Pierre B. A. Lecomte , Michel Rigo

This book dwells on mathematical and algorithmic issues of data analysis based on generality order of descriptions and respective precision. To speak of these topics correctly, we have to go some way getting acquainted with the important…

计算机科学中的逻辑 · 计算机科学 2019-08-30 Sergei O. Kuznetsov

We consider sequences of integers defined by a system of linear inequalities with integer coefficients. We show that when the constraints are strong enough to guarantee that all the entries are nonnegative, the generating function for the…

组合数学 · 数学 2007-05-23 S. Corteel , C. D. Savage

We introduce the first cut-free nested sequent systems for first-order modal logics that admit increasing, decreasing, constant, and empty domains along with so-called general path conditions and seriality. We obtain such systems by means…

计算机科学中的逻辑 · 计算机科学 2023-11-09 Tim S. Lyon

We introduce an algorithm which, in the context of nonlinear regression on vector-valued explanatory variables, chooses those combinations of vector components that provide best prediction. The algorithm devotes particular attention to…

统计方法学 · 统计学 2014-02-03 Frédéric Ferraty , Peter Hall

Semi-regular sequences over $\mathbb{F}_2$ are sequences of homogeneous elements of the algebra $ B^{(n)}=\mathbb{F}_2[X_1,...,X_n]/(X_1^2,...,X_n^2) $, which have as few relations between them as possible. They were introduced in order to…

交换代数 · 数学 2014-12-30 T. J. Hodges , S. D. Molina , J. Schlather

This paper focuses on analyzing and differentiating between lattice linear problems and algorithms. It introduces a new class of algorithms called \textit{(fully) lattice linear algorithms}. A property of these algorithms is that they…

分布式、并行与集群计算 · 计算机科学 2022-11-11 Arya Tanmay Gupta , Sandeep S Kulkarni

Text coherence is a fundamental problem in natural language generation and understanding. Organizing sentences into an order that maximizes coherence is known as sentence ordering. This paper is proposing a new approach based on the graph…

计算与语言 · 计算机科学 2022-03-15 Melika Golestani , Zeinab Borhanifard , Farnaz Tahmasebian , Heshaam Faili

In this paper we present algorithmic considerations and theoretical results about the relation between the orders of certain groups associated to the components of a polynomial and the order of the group that corresponds to the polynomial,…

符号计算 · 计算机科学 2008-05-15 Jaime Gutierrez , David Sevilla

We consider partially ordered sets of combinatorial structures under consecutive orders, meaning that two structures are related when one embeds in the other such that `consecutive' elements remain consecutive in the image. Given such a…

组合数学 · 数学 2026-04-22 Victoria Ironmonger , Nik Ruškuc

We consider a language together with the subword relation, the cover relation, and regular predicates. For such structures, we consider the extension of first-order logic by threshold- and modulo-counting quantifiers. Depending on the…

形式语言与自动机理论 · 计算机科学 2019-01-09 Dietrich Kuske , Georg Zetzsche

We present an algorithm for effectively generating binary sequences which would be rated by people as highly likely to have been generated by a random process, such as flipping a fair coin.

人机交互 · 计算机科学 2008-10-05 Yasmine B. Sanderson

Automatic generation of sequences has been a highly explored field in the last years. In particular, natural language processing and automatic music composition have gained importance due to the recent advances in machine learning and…

声音 · 计算机科学 2020-12-03 Sebastian Garcia-Valencia , Alejandro Betancourt , Juan G. Lalinde-Pulido