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The connection between subset-maximal repairs for inconsistent databases involving various integrity constraints and acceptable sets of arguments within argumentation frameworks has recently drawn growing interest. In this paper, we…

Databases · Computer Science 2026-05-06 Yasir Mahmood , Jonni Virtema , Timon Barlag , Axel-Cyrille Ngonga Ngomo

We investigate the complexity of computing an optimal repair of an inconsistent database, in the case where integrity constraints are Functional Dependencies (FDs). We focus on two types of repairs: an optimal subset repair (optimal…

Databases · Computer Science 2017-12-22 Ester Livshits , Benny Kimelfeld , Sudeepa Roy

The repair problem for functional dependencies is the problem where an input database needs to be modified such that all functional dependencies are satisfied and the difference with the original database is minimal. The output database is…

Databases · Computer Science 2024-04-18 Toon Boeckling , Antoon Bronselaer

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

Data Structures and Algorithms · Computer Science 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

For a relation that violates a set of functional dependencies, we consider the task of finding a maximum number of pairwise-consistent tuples, or what is known as a "cardinality repair." We present a polynomial-time algorithm that, for…

Databases · Computer Science 2017-08-31 Ester Livshits , Benny Kimelfeld

We study the computational complexity of problems that arise in abstract argumentation in the context of dynamic argumentation, minimal change, and aggregation. In particular, we consider the following problems where always an argumentation…

Data Structures and Algorithms · Computer Science 2014-02-26 Eun Jung Kim , Sebastian Ordyniak , Stefan Szeider

Preferences are a pivotal component in practical reasoning, especially in tasks that involve decision-making over different options or courses of action that could be pursued. In this work, we focus on repairing and querying inconsistent…

Databases · Computer Science 2024-05-28 Nina Pardal , Santiago Cifuentes , Edwin Pin , Maria Vanina Martinez , Sergio Abriola

A correspondence between database tuples as causes for query answers in databases and tuple-based repairs of inconsistent databases with respect to denial constraints has already been established. In this work, answer-set programs that…

Databases · Computer Science 2020-09-30 Leopoldo Bertossi

This paper presents a novel SAT-based approach for the computation of extensions in abstract argumentation, with focus on preferred semantics, and an empirical evaluation of its performances. The approach is based on the idea of reducing…

Artificial Intelligence · Computer Science 2013-10-24 Federico Cerutti , Paul E. Dunne , Massimiliano Giacomin , Mauro Vallati

In this paper, we explore the issue of inconsistency handling over prioritized knowledge bases (KBs), which consist of an ontology, a set of facts, and a priority relation between conflicting facts. In the database setting, a closely…

Logic in Computer Science · Computer Science 2026-05-27 Meghyn Bienvenu , Camille Bourgaux

Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by sets of arguments (extensions) and conditions on the…

Artificial Intelligence · Computer Science 2025-05-19 Johannes Fichte , Nicolas Fröhlich , Markus Hecher , Victor Lagerkvist , Yasir Mahmood , Arne Meier , Jonathan Persson

Datasets may include errors, and specifically violations of integrity constraints, for various reasons. Standard techniques for ``minimal-cost'' database repairing resolve these violations by aiming for minimum change in the data, and in…

Databases · Computer Science 2024-10-23 Yuxi Liu , Fangzhu Shen , Kushagra Ghosh , Amir Gilad , Benny Kimelfeld , Sudeepa Roy

A common interpretation of soft constraints penalizes the database for every violation of every constraint, where the penalty is the cost (weight) of the constraint. A computational challenge is that of finding an optimal subset: a…

Databases · Computer Science 2020-09-30 Nofar Carmeli , Martin Grohe , Benny Kimelfeld , Ester Livshits , Muhammad Tibi

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

The multiple extension problem arises frequently in diagnostic and default inference. That is, we can often use any of a number of sets of defaults or possible hypotheses to explain observations or make Predictions. In default inference,…

Artificial Intelligence · Computer Science 2013-04-11 Eric Neufeld , David L Poole

Data inconsistency evaluating and repairing are major concerns in data quality management. As the basic computing task, optimal subset repair is not only applied for cost estimation during the progress of database repairing, but also…

Databases · Computer Science 2020-01-14 Dongjing Miao , Zhipeng Cai , Jianzhong Li , Xiangyu Gao , Xianmin Liu

Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

Artificial Intelligence · Computer Science 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

Abstract argumentation frameworks (AFs) are one of the most studied formalisms in AI. In this work, we introduce a certain subclass of AFs which we call compact. Given an extension-based semantics, the corresponding compact AFs are…

Artificial Intelligence · Computer Science 2014-05-01 Ringo Baumann , Wolfgang Dvorák , Thomas Linsbichler , Hannes Strass , Stefan Woltran

Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (AF), that express conflicts between arguments. The semantics…

Artificial Intelligence · Computer Science 2026-05-14 Johannes K. Fichte , Markus Hecher , Yasir Mahmood , Zhengjun Wang

We investigate the problem of identifying database repairs for missing tuples in query answers. We show that when the query is part of the input - the combined complexity setting - determining whether or not a repair exists is…

Databases · Computer Science 2026-01-13 Jesse Comer , Val Tannen
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