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As the most essential part of CAD modeling operations, boolean operations on B-rep CAD models often suffer from errors. Errors caused by geometric precision or numerical uncertainty are hard to eliminate. They will reduce the reliability of…

Graphics · Computer Science 2023-10-17 Haomian Huang , Li Chen , Enya Shen , Jianmin Wang

We reprove the countable splitting lemma by adapting Nawrotzki's algorithm which produces a sequence that converges to a solution. Our algorithm combines Nawrotzki's approach with taking finite cuts. It is constructive in the sense that…

Logic in Computer Science · Computer Science 2021-06-15 Ana Sokolova , Harald Woracek

Post-hoc repair of LLM mathematical reasoning introduces an asymmetric risk: fixing an incorrect reasoning trace is useful, but replacing a trace that was already correct can be harmful. We study this problem under a selective replacement…

Computation and Language · Computer Science 2026-05-26 Haizhou Xia

The automated repair of C++ compilation errors presents a significant challenge, the resolution of which is critical for developer productivity. Progress in this domain is constrained by two primary factors: the scarcity of large-scale,…

Artificial Intelligence · Computer Science 2025-09-22 Weixuan Sun , Jucai Zhai , Dengfeng Liu , Xin Zhang , Xiaojun Wu , Qiaobo Hao , AIMgroup , Yang Fang , Jiuyang Tang

A finite constraint language $\mathscr{R}$ is a finite set of relations over some finite domain $A$. We show that intractability of the constraint satisfaction problem $\operatorname{CSP}(\mathscr{R})$ can, in all known cases, be replaced…

Computational Complexity · Computer Science 2017-05-02 Lucy Ham , Marcel Jackson

This paper provides theoretical and empirical comparisons of three recent hierarchical plan repair algorithms: SHOPFixer, IPyHOPPER, and Rewrite. Our theoretical results show that the three algorithms correspond to three different…

Artificial Intelligence · Computer Science 2025-04-24 Paul Zaidins , Robert P. Goldman , Ugur Kuter , Dana Nau , Mark Roberts

When combining data from multiple sources, inconsistent data complicates the production of a coherent result. In this paper, we introduce a new type of constraints called edit rules under a partial key (EPKs). These constraints can model…

Databases · Computer Science 2024-03-29 Antoon Bronselaer , Maribel Acosta

The classical approach for repairing a Description Logic ontology O in the sense of removing an unwanted consequence $\alpha$ is to delete a minimal number of axioms from O such that the resulting ontology O' does not have the consequence…

Logic in Computer Science · Computer Science 2018-08-02 Franz Baader , Francesco Kriegel , Adrian Nuradiansyah , Rafael Peñaloza

The goal of this paper is to provide a complete representation of regional linguistic variation on a global scale. To this end, the paper focuses on removing three constraints that have previously limited work within…

Computation and Language · Computer Science 2021-04-06 Jonathan Dunn

Automated Program Repair (APR) attempts to patch software bugs and reduce manual debugging efforts. Very recently, with the advances in Large Language Models (LLMs), an increasing number of APR techniques have been proposed, facilitating…

Software Engineering · Computer Science 2026-02-11 Quanjun Zhang , Chunrong Fang , Yang Xie , YuXiang Ma , Weisong Sun , Yun Yang , Zhenyu Chen

We prove that the existence of finite combinatorial objects such as affine planes, mutually orthogonal Latin squares, and resolvable balanced incomplete block designs can be reformulated as the existence of certain algorithmic reductions…

Combinatorics · Mathematics 2026-04-21 Damir D. Dzhafarov , Jun le Goh

This paper addresses a class of problems under interval data uncertainty composed of min-max regret versions of classical 0-1 optimization problems with interval costs. We refer to them as interval 0-1 min-max regret problems. The…

Data Structures and Algorithms · Computer Science 2020-01-07 Lucas Assunção , Andréa Cynthia Santos , Thiago F. Noronha , Rafael Andrade

Recent work in language modeling has raised the possibility of self-improvement, where a language models evaluates and refines its own generations to achieve higher performance without external feedback. It is impossible for this…

Artificial Intelligence · Computer Science 2024-12-05 Audrey Huang , Adam Block , Dylan J. Foster , Dhruv Rohatgi , Cyril Zhang , Max Simchowitz , Jordan T. Ash , Akshay Krishnamurthy

This paper presents an optimization based framework to automate system repair against omega-regular properties. In the proposed formalization of optimal repair, the systems are represented as Kripke structures, the properties as…

Formal Languages and Automata Theory · Computer Science 2022-07-28 Vrunda Dave , Shankara Narayanan Krishna , Vishnu Murali , Ashutosh Trivedi

Alternating automata have been widely used to model and verify systems that handle data from finite domains, such as communication protocols or hardware. The main advantage of the alternating model of computation is that complementation is…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Radu Iosif , Xiao Xu

We address the problem of game level repair, which consists of taking a designed but non-functional game level and making it functional. This might consist of ensuring the completeness of the level, reachability of objects, or other…

Artificial Intelligence · Computer Science 2025-06-25 Debosmita Bhaumik , Julian Togelius , Georgios N. Yannakakis , Ahmed Khalifa

Natural language correction has the potential to help language learners improve their writing skills. While approaches with separate classifiers for different error types have high precision, they do not flexibly handle errors such as…

Computation and Language · Computer Science 2016-04-01 Ziang Xie , Anand Avati , Naveen Arivazhagan , Dan Jurafsky , Andrew Y. Ng

The reachability problem in multi-pushdown automata (MPDA) has many applications in static analysis of recursive programs. An example is safety verification of multi-threaded recursive programs with shared memory. Since these problems are…

Formal Languages and Automata Theory · Computer Science 2025-12-05 C. Aiswarya , Pascal Baumann , Prakash Saivasan , Lia Schütze , Georg Zetzsche

Automatic Program Repair (APR) is a core technology in software development and maintenance, with aims to enable automated defect repair with minimal human intervention. In recent years, the substantial advancements in Large Language Models…

Software Engineering · Computer Science 2025-06-27 Quanming Liu , Xupeng Bu , Zhichao Yan , Ru Li

The ability to edit 3D assets from natural language presents a compelling paradigm to aid in the democratization of 3D content creation. However, while natural language is often effective at communicating general intent, it is poorly suited…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Aditya Ganeshan , Ryan Y. Huang , Xianghao Xu , R. Kenny Jones , Daniel Ritchie