English
Related papers

Related papers: The unified higher-order dependency pair framework

200 papers

Several types of term rewriting systems can be distinguished by the way their rules overlap. In particular, we define the classes of prefix, suffix, bottom-up and top-down systems, which generalize similar classes on words. Our aim is to…

Logic in Computer Science · Computer Science 2007-05-29 Antoine Meyer

Optimization decomposition methods are a fundamental tool to develop distributed solution algorithms for large scale optimization problems arising in fields such as machine learning and optimal control. In this paper, we present an…

Optimization and Control · Mathematics 2024-03-12 Tyler Hanks , Matthew Klawonn , Evan Patterson , Matthew Hale , James Fairbanks

Dependence logic provides an elegant approach for introducing dependencies between variables into the object language of first-order logic. In [1] generalized quantifiers were introduced in this context. However, a satisfactory account was…

Logic · Mathematics 2024-04-29 Fredrik Engström

Entity relation extraction consists of two sub-tasks: entity recognition and relation extraction. Existing methods either tackle these two tasks separately or unify them with word-by-word interactions. In this paper, we propose HIORE, a new…

Computation and Language · Computer Science 2023-05-09 Yijun Wang , Changzhi Sun , Yuanbin Wu , Lei Li , Junchi Yan , Hao Zhou

In this paper I explain the reasons that led me to research and conceive a novel technology for dependency parsing, mixing together the strengths of data-driven transition-based and constraint-based approaches. In particular I highlight the…

Computation and Language · Computer Science 2015-07-22 Matteo Grella

Pairwise ranking methods are the basis of many widely used discriminative training approaches for structure prediction problems in natural language processing(NLP). Decomposing the problem of ranking hypotheses into pairwise comparisons…

Computation and Language · Computer Science 2017-07-19 Huadong Chen , Shujian Huang , David Chiang , Xinyu Dai , Jiajun Chen

We prove that adding upwards closed first-order dependency atoms to first-order logic with team semantics does not increase its expressive power (with respect to sentences), and that the same remains true if we also add constancy atoms. As…

Logic · Mathematics 2013-07-18 Pietro Galliani

Combining higher-order abstract syntax and (co)induction in a logical framework is well known to be problematic. Previous work described the implementation of a tool called Hybrid, within Isabelle HOL, which aims to address many of these…

Logic in Computer Science · Computer Science 2010-05-27 Amy Felty , Alberto Momigliano

A dependent theory is a (first order complete theory) T which does not have the independence property. A main result here is: if we expand a model of T by the traces on it of sets definable in a bigger model then we preserve its being…

Logic · Mathematics 2013-02-20 Saharon Shelah

Parameterization extends higher-order processes with the capability of abstraction and application (like those in lambda-calculus). This extension is strict, i.e., higher-order processes equipped with parameterization is computationally…

Logic in Computer Science · Computer Science 2016-08-11 Xian Xu

We propose an unified algebraic approach for static condensation and hybridization, two popular techniques in finite element discretizations. The algebraic approach is supported by the construction of scalable solvers for problems involving…

Numerical Analysis · Mathematics 2018-01-29 Veselin A. Dobrev , Tzanio V. Kolev , Chak S. Lee , Vladimir Z. Tomov , Panayot S. Vassilevski

Contextual online decision-making problems with constraints appear in a wide range of real-world applications, such as adaptive experimental design under safety constraints, personalized recommendation with resource limits, and dynamic…

Machine Learning · Statistics 2025-05-23 Haichen Hu , David Simchi-Levi , Navid Azizan

We introduce a new class of extensions of terms that consists in navigation strategies and insertion of contexts. We introduce an operation of combination on this class which is associative, admits a neutral element and so that each…

Logic in Computer Science · Computer Science 2019-04-25 Walid Belkhir , Nicolas Ratier , Duy Duc Nguyen Michel Lenczner

Providing diagnostic feedback about growth is crucial to formative decisions such as targeted remedial instructions or interventions. This paper proposed a longitudinal higher-order diagnostic classification modeling approach for measuring…

Methodology · Statistics 2018-09-19 Peida Zhan , Hong Jiao , Dandan Liao

We develop a class of algebraic interpretations for many-sorted and higher-order term rewriting systems that takes type information into account. Specifically, base-type terms are mapped to \emph{tuples} of natural numbers and higher-order…

Symbolic Computation · Computer Science 2021-05-05 Deivid Vale , Cynthia Kop

In this paper, we revisit the notion of higher-order rigidity of a bar-and-joint framework. In particular, we provide a link between the rigidity properties of a framework, and the growth order of an energy function defined on that…

Metric Geometry · Mathematics 2025-06-04 Steven J. Gortler , Miranda Holmes-Cerfon , Louis Theran

Dynamic benchmarks interweave model fitting and data collection in an attempt to mitigate the limitations of static benchmarks. In contrast to an extensive theoretical and empirical study of the static setting, the dynamic counterpart lags…

Machine Learning · Computer Science 2023-03-03 Ali Shirali , Rediet Abebe , Moritz Hardt

Despite many recent advances, reactive synthesis is still not really a practical technique. The grand challenge is to scale from small transition systems, where synthesis performs well, to complex multi-component designs. Compositional…

Logic in Computer Science · Computer Science 2020-10-09 Bernd Finkbeiner , Noemi Passing

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

We study the problem of combining the outcomes of several different classifiers in a way that provides a coherent inference that satisfies some constraints. In particular, we develop two general approaches for an important…

Machine Learning · Computer Science 2007-05-23 Vasin Punyakanok , Dan Roth