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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

Boolean Satisfiability (SAT) problems are expressed as mathematical formulas. This paper presents a matrix representation for these SAT problems. It shows how to use this matrix representation to get the full set of valid satisfying…

Computational Complexity · Computer Science 2025-05-20 Paul W. Homer

This paper studies the completeness of conjunctive queries over a partially complete database and the approximation of incomplete queries. Given a query and a set of completeness rules (a special kind of tuple generating dependencies) that…

Databases · Computer Science 2024-07-31 Julien Corman , Werner Nutt , Ognjen Savković

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

Consistency of knowledge repositories is of prime importance in organization management. Integrity constraints are a well-known vehicle for specifying data consistency requirements in knowledge bases; in particular, active integrity…

The Boolean satisfiability (SAT) problem lies at the core of many applications in combinatorial optimization, software verification, cryptography, and machine learning. While state-of-the-art solvers have demonstrated high efficiency in…

Logic in Computer Science · Computer Science 2025-06-03 Zhiwei Zhang , Samy Wu Fung , Anastasios Kyrillidis , Stanley Osher , Moshe Y. Vardi

The poset cover problem seeks a minimum set of partial orders whose linear extensions cover a given set of linear orders. Recognizing its NP-completeness, we devised a non-trivial reduction to the Boolean satisfiability problem using a…

Logic in Computer Science · Computer Science 2025-05-08 Chih-Cheng Rex Yuan , Bow-Yaw Wang

Aggregates are among the most frequently used linguistic extensions of answer set programming. The result of an aggregation may introduce new constants during the instantiation of the input program, a feature known as value invention. When…

Logic in Computer Science · Computer Science 2018-04-24 Mario Alviano , Carmine Dodaro , Marco Maratea

In this work we establish and investigate the connections between causality for query answers in databases, database repairs wrt. denial constraints, and consistency-based diagnosis. The first two are relatively new problems in databases,…

Databases · Computer Science 2014-07-01 Babak Salimi , Leopoldo Bertossi

A previously developed quantum search algorithm for solving 1-SAT problems in a single step is generalized to apply to a range of highly constrained k-SAT problems. We identify a bound on the number of clauses in satisfiability problems for…

Artificial Intelligence · Computer Science 2011-05-30 T. Hogg

The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT…

Logic in Computer Science · Computer Science 2020-02-25 Anastasios Kyrillidis , Anshumali Shrivastava , Moshe Y. Vardi , Zhiwei Zhang

Certain answers are a principled method for coping with uncertainty that arises in many practical data management tasks. Unfortunately, this method is expensive and may exclude useful (if uncertain) answers. Thus, users frequently resort to…

Databases · Computer Science 2019-04-02 Su Feng , Aaron Huber , Boris Glavic , Oliver Kennedy

Answer set programming (ASP) is a logic programming paradigm that can be used to solve complex combinatorial search problems. Aggregates are an ASP construct that plays an important role in many applications. Defining a satisfactory…

Artificial Intelligence · Computer Science 2008-12-09 Paolo Ferraris

Encoding finite linear CSPs as Boolean formulas and solving them by using modern SAT solvers has proven to be highly effective, as exemplified by the award-winning sugar system. We here develop an alternative approach based on ASP. This…

Artificial Intelligence · Computer Science 2013-12-23 Mutsunori Banbara , Martin Gebser , Katsumi Inoue , Torsten Schaub , Takehide Soh , Naoyuki Tamura , Matthias Weise

We solve constraint satisfaction problems through translation to answer set programming (ASP). Our reformulations have the property that unit-propagation in the ASP solver achieves well defined local consistency properties like arc, bound…

Artificial Intelligence · Computer Science 2011-04-21 Christian Drescher , Toby Walsh

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Classical algorithms for query optimization presuppose the absence of inconsistencies or uncertainties in the database and exploit only valid semantic knowledge provided, e.g., by integrity constraints. Data inconsistency or uncertainty,…

Databases · Computer Science 2014-05-05 Federica Panella

In this work, answer-set programs that specify repairs of databases are used as a basis for solving computational and reasoning problems about causes for query answers from databases.

Databases · Computer Science 2017-06-27 Leopoldo Bertossi

This paper introduces SATFuL, a SAT solver for fuzzy logics. In contrast to the Boolean case, for which numerous SAT solvers exist, the SAT problem for fuzzy logics has attracted less attention, even though these tools have interesting…

Logic in Computer Science · Computer Science 2026-04-20 Pablo F. Castro

In this article, we characterize in terms of analytic tableaux the repairs of inconsistent relational databases, that is databases that do not satisfy a given set of integrity constraints. For this purpose we provide closing and opening…

Databases · Computer Science 2007-05-23 Leopoldo Bertossi , Camilla Schwind
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