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Image matching approaches have been widely used in computer vision applications in which the image-level matching performance of matchers is critical. However, it has not been well investigated by previous works which place more emphases on…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 JiaWang Bian , Le Zhang , Yun Liu , Wen-Yan Lin , Ming-Ming Cheng , Ian D. Reid

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Interpolation is an important property of classical and many non-classical logics that has been shown to have interesting applications in computer science and AI. Here we study the Interpolation Property for the the non-monotonic system of…

Logic in Computer Science · Computer Science 2014-01-17 Dov Gabbay , David Pearce , Agustín Valverde

Natural language sentence matching is the task of comparing two sentences and identifying the relationship between them.It has a wide range of applications in natural language processing tasks such as reading comprehension, question and…

Computation and Language · Computer Science 2022-03-22 Kexin Jiang , Yahui Zhao , Rongyi Cui , Zhenguo Zhang

The ability to automatically generalise (interactive) proofs and use such generalisations to discharge related conjectures is a very hard problem which remains unsolved. Here, we develop a notion of goal types to capture key properties of…

Logic in Computer Science · Computer Science 2013-06-11 Gudmund Grov , Ewen Maclean

Storytelling algorithms aim to 'connect the dots' between disparate documents by linking starting and ending documents through a series of intermediate documents. Existing storytelling algorithms are based on notions of coherence and…

Artificial Intelligence · Computer Science 2016-02-23 Dipayan Maiti , Mohammad Raihanul Islam , Scotland Leman , Naren Ramakrishnan

Mathematical documents written in LaTeX often contain ambiguities. We can resolve some of them via semantic markup using, e.g., sTeX, which also has other potential benefits, such as interoperability with computer algebra systems, proof…

Computation and Language · Computer Science 2024-08-12 Luka Vrečar , Joe Wells , Fairouz Kamareddine

The problem of demand inversion - a crucial step in the estimation of random utility discrete-choice models - is equivalent to the determination of stable outcomes in two-sided matching models. This equivalence applies to random utility…

Econometrics · Economics 2021-11-30 Odran Bonnet , Alfred Galichon , Yu-Wei Hsieh , Keith O'Hara , Matt Shum

There is an increasing interest in applying recent advances in AI to automated reasoning, as it may provide useful heuristics in reasoning over formalisms in first-order, second-order, or even meta-logics. To facilitate this research, we…

Logic in Computer Science · Computer Science 2020-05-07 Elijah Malaby , Bradley Dragun , John Licato

While proof is a central component of postsecondary mathematical study, proof construction has historically posed significant difficulties for students who intend to earn mathematics degrees at the undergraduate level. This work is…

History and Overview · Mathematics 2023-03-01 Bolanle Salaam

We consider the case of a domain expert who wishes to explore the extent to which a particular idea is expressed in a text collection. We propose the task of semantically matching the idea, expressed as a natural language proposition,…

Computation and Language · Computer Science 2018-08-30 Lucy H. Lin , Scott Miles , Noah A. Smith

Satisfiability modulo theory (SMT) consists in testing the satisfiability of first-order formulas over linear integer or real arithmetic, or other theories. In this survey, we explain the combination of propositional satisfiability and…

Logic in Computer Science · Computer Science 2016-06-16 David Monniaux

The smart home is a major Internet of Things (IoT) application domain with tremendous market expectations. However, communication solutions for smart home devices have exhibited a lack of interoperability, challenging the success of the…

Networking and Internet Architecture · Computer Science 2024-12-03 Saeid Madadi-Barough , Pau Ruiz-Blanco , Jiadeng Lin , Rafael Vidal , Carles Gomez

Sequential, multiple assignment randomized trials (SMARTs), which assist in the optimization of adaptive interventions, are growing in popularity in education and behavioral sciences. This is unsurprising, as adaptive interventions reflect…

Methodology · Statistics 2023-09-26 Timothy Lycurgus , Amy Kilbourne , Daniel Almirall

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

Methodology · Statistics 2026-01-30 Chonghuan Wang

We describe a formal correctness proof of RANKING, an online algorithm for online bipartite matching. An outcome of our formalisation is that it shows that there is a gap in all combinatorial proofs of the algorithm. Filling that gap…

Logic in Computer Science · Computer Science 2023-03-01 Mohammad Abdulaziz , Christoph Madlener

We explain how recent developments in the fields of realisability models for linear logic -- or geometry of interaction -- and implicit computational complexity can lead to a new approach of implicit computational complexity. This…

Logic in Computer Science · Computer Science 2015-07-03 Thomas Seiller

As an essential operation of legal retrieval, legal case matching plays a central role in intelligent legal systems. This task has a high demand on the explainability of matching results because of its critical impacts on downstream…

Information Retrieval · Computer Science 2022-07-12 Weijie Yu , Zhongxiang Sun , Jun Xu , Zhenhua Dong , Xu Chen , Hongteng Xu , Ji-Rong Wen

When formalizing proofs with interactive theorem provers, it often happens that extra background knowledge (declarative or procedural) about mathematical concepts is employed without the formalizer explicitly invoking it, to help the…

Logic in Computer Science · Computer Science 2014-01-07 Jesse Alama

Issues concerning intelligent data analysis occurring in machine learning are investigated. A scheme for synthesizing correct supervised classification procedures is proposed. These procedures are focused on specifying partial order…

Discrete Mathematics · Computer Science 2019-07-23 Elena V. Djukova , Gleb O. Masliakov , Petr A. Prokofyev
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