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An equational logic program is a set of directed equations or rules, which are used to compute in the obvious way (by replacing equals with ``simpler'' equals). We present static analysis techniques for efficient equational logic…

Logic in Computer Science · Computer Science 2007-05-23 Rakesh M. Verma

We describe a modular rewriting system for translating optimization problems written in a domain-specific language to forms compatible with low-level solver interfaces. Translation is facilitated by reductions, which accept a category of…

Optimization and Control · Mathematics 2019-02-28 Akshay Agrawal , Robin Verschueren , Steven Diamond , Stephen Boyd

Given a regular expression $R$ and a string $Q$, the regular expression parsing problem is to determine if $Q$ matches $R$ and if so, determine how it matches, e.g., by a mapping of the characters of $Q$ to the characters in $R$. Regular…

Data Structures and Algorithms · Computer Science 2019-01-30 Philip Bille , Inge Li Gørtz

We consider a diffusion equation with highly oscillatory coefficients that admits a homogenized limit. As an alternative to standard corrector problems, we introduce here an embedded corrector problem, written as a diffusion equation in the…

Numerical Analysis · Mathematics 2014-12-22 Eric Cances , Virginie Ehrlacher , Frederic Legoll , Benjamin Stamm

In many scenarios we need to find the most likely program under a local context, where the local context can be an incomplete program, a partial specification, natural language description, etc. We call such problem program estimation. In…

Software Engineering · Computer Science 2018-02-22 Yingfei Xiong , Bo Wang , Guirong Fu , Linfei Zang

Grammatical error correction (GEC) is the task of correcting typos, spelling, punctuation and grammatical issues in text. Approaching the problem as a sequence-to-sequence task, we compare the use of a common subword unit vocabulary and…

Q-resolution is a proof system for quantified Boolean formulas (QBFs) in prenex conjunctive normal form (PCNF) which underlies search-based QBF solvers with clause and cube learning (QCDCL). With the aim to derive and learn stronger clauses…

Logic in Computer Science · Computer Science 2016-06-15 Florian Lonsing , Uwe Egly , Martina Seidl

Mapping complex metadata structures is crucial in a number of domains such as data integration, ontology alignment or model management. To speed up that process automatic matching systems were developed to compute mapping suggestions that…

Databases · Computer Science 2011-08-10 Eric Peukert , Julian Eberius , Erhard Rahm

Paraphrase plagiarism is one of the difficult challenges facing plagiarism detection systems. Paraphrasing occur when texts are lexically or syntactically altered to look different, but retain their original meaning. Most plagiarism…

Information Retrieval · Computer Science 2018-01-01 Victor Thompson

Text simplification (TS) is the process of generating easy-to-understand sentences from a given sentence or piece of text. The aim of TS is to reduce both the lexical (which refers to vocabulary complexity and meaning) and syntactic (which…

Computation and Language · Computer Science 2023-04-17 Ciprian-Octavian Truică , Andrei-Ionut Stan , Elena-Simona Apostol

This paper develops a computational model of paraphrase under which text modification is carried out reluctantly; that is, there are external constraints, such as length or readability, on an otherwise ideal text, and modifications to the…

cmp-lg · Computer Science 2008-02-03 Mark Dras

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

Optimization and Control · Mathematics 2022-08-10 Johannes O. Royset

Nowadays, data augmentation through synthetic data has been widely used in the field of Grammatical Error Correction (GEC) to alleviate the problem of data scarcity. However, these synthetic data are mainly used in the pre-training phase…

Computation and Language · Computer Science 2024-06-26 Yixuan Wang , Baoxin Wang , Yijun Liu , Qingfu Zhu , Dayong Wu , Wanxiang Che

Grammatical Error Correction (GEC) should not focus only on high accuracy of corrections but also on interpretability for language learning. However, existing neural-based GEC models mainly aim at improving accuracy, and their…

Computation and Language · Computer Science 2022-03-15 Masahiro Kaneko , Sho Takase , Ayana Niwa , Naoaki Okazaki

Synthetic data has been proposed as a solution to address the issue of high-quality data scarcity in the training of large language models (LLMs). Studies have shown that synthetic data can effectively improve the performance of LLMs on…

Computation and Language · Computer Science 2024-06-19 Jie Chen , Yupeng Zhang , Bingning Wang , Wayne Xin Zhao , Ji-Rong Wen , Weipeng Chen

We present egglog, a fixpoint reasoning system that unifies Datalog and equality saturation (EqSat). Like Datalog, it supports efficient incremental execution, cooperating analyses, and lattice-based reasoning. Like EqSat, it supports term…

Programming Languages · Computer Science 2023-05-17 Yihong Zhang , Yisu Remy Wang , Oliver Flatt , David Cao , Philip Zucker , Eli Rosenthal , Zachary Tatlock , Max Willsey

Several social factors impact how people respond to AI explanations used to justify AI decisions affecting them personally. In this position paper, we define a framework called the \textit{layers of explanation} (LEx), a lens through which…

Machine Learning · Computer Science 2021-04-21 Ronal Singh , Upol Ehsan , Marc Cheong , Mark O. Riedl , Tim Miller

In the domain of code generation, self-debugging is crucial. It allows LLMs to refine their generated code based on execution feedback. This is particularly important because generating correct solutions in one attempt proves challenging…

Computation and Language · Computer Science 2025-02-17 Nan Jiang , Xiaopeng Li , Shiqi Wang , Qiang Zhou , Soneya Binta Hossain , Baishakhi Ray , Varun Kumar , Xiaofei Ma , Anoop Deoras

Portable Document Format (PDF) files are dominantly used for storing and disseminating scientific research, legal documents, and tax information. LaTeX is a popular application for creating PDF documents. Despite its advantages, LaTeX is…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Nan Jiang , Shanchao Liang , Chengxiao Wang , Jiannan Wang , Lin Tan

We use convex relaxation techniques to provide a sequence of solutions to the matrix completion problem. Using the nuclear norm as a regularizer, we provide simple and very efficient algorithms for minimizing the reconstruction error…

Machine Learning · Statistics 2009-06-12 Rahul Mazumder , Trevor Hastie , Rob Tibshirani