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We consider the dichotomy conjecture for consistent query answering under primary key constraints. It states that, for every fixed Boolean conjunctive query q, testing whether q is certain (i.e. whether it evaluates to true over all repairs…

Databases · Computer Science 2025-02-26 Diego Figueira , Anantha Padmanabha , Luc Segoufin , Cristina Sirangelo

We introduce an approach to detecting inconsistencies in large biological networks by using Answer Set Programming (ASP). To this end, we build upon a recently proposed notion of consistency between biochemical/genetic reactions and…

Logic in Computer Science · Computer Science 2010-07-02 Martin Gebser , Torsten Schaub , Sven Thiele , Philippe Veber

Boolean satisfiability (SAT) is a propositional logic problem of determining whether an assignment of variables satisfies a Boolean formula. Many combinatorial optimization problems can be formulated in Boolean SAT logic -- either as k-SAT…

Optimization and Control · Mathematics 2026-03-12 Robert Simon Fong , Yanming Song , Alexander Yosifov

We approach the task of computing a carefully synchronizing word of optimum length for a given partial deterministic automaton, encoding the problem as an instance of SAT and invoking a SAT solver. Our experiments demonstrate that this…

Formal Languages and Automata Theory · Computer Science 2020-05-19 Hanan Shabana , Mikhail Volkov

The Satisfiability (SAT) problem is a core challenge with significant applications in software engineering, including automated testing, configuration management, and program verification. This paper presents SolSearch, a novel framework…

Software Engineering · Computer Science 2025-02-21 Junjie Sheng , Yanqiu Lin , Jiehao Wu , Yanhong Huang , Jianqi Shi , Min Zhang , Xiangfeng Wang

Boolean satisfiability (SAT) solving is a fundamental problem in computer science. Finding efficient algorithms for SAT solving has broad implications in many areas of computer science and beyond. Quantum SAT solvers have been proposed in…

Quantum Physics · Physics 2023-08-08 Shang-Wei Lin , Tzu-Fan Wang , Yean-Ru Chen , Zhe Hou , David Sanán , Yon Shin Teo

In 2006, Biere, Jussila, and Sinz made the key observation that the underlying logic behind algorithms for constructing Reduced, Ordered Binary Decision Diagrams (BDDs) can be encoded as steps in a proof in the extended resolution logical…

Logic in Computer Science · Computer Science 2023-03-29 Randal E. Bryant , Marijn J. H. Heule

We propose a method for exact circuit synthesis using a discrete gate set, as required for fault-tolerant quantum computing. Our approach translates the problem of synthesizing a gate specified by its unitary matrix into a boolean…

Quantum Physics · Physics 2025-03-20 Élie Gouzien , Nicolas Sangouard

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

We study consistent query answering via different graph representations. First, we introduce solution-conflict hypergraphs in which nodes represent facts and edges represent either conflicts or query solutions. Considering a monotonic query…

Databases · Computer Science 2024-12-12 Teemu Hankala , Miika Hannula , Yasir Mahmood , Arne Meier

Recent formal approaches towards causality have made the concept ready for incorporation into the technical world. However, causality reasoning is computationally hard; and no general algorithmic approach exists that efficiently infers the…

Artificial Intelligence · Computer Science 2019-05-01 Amjad Ibrahim , Simon Rehwald , Alexander Pretschner

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

Logic in Computer Science · Computer Science 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

Query answering is an important problem in AI, database and knowledge representation. In this paper, we develop saturation-based Boolean conjunctive query answering and rewriting procedures for the guarded, the loosely guarded and the…

Databases · Computer Science 2023-10-17 Sen Zheng , Renate A. Schmidt

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of…

Artificial Intelligence · Computer Science 2019-08-19 Sven Löffler , Ke Liu , Petra Hofstedt

The unification problem in algebras capable of describing sets has been tackled, directly or indirectly, by many researchers and it finds important applications in various research areas--e.g., deductive databases, theorem proving, static…

Logic in Computer Science · Computer Science 2007-05-23 Agostino Dovier , Enrico Pontelli , Gianfranco Rossi

We propose a clustering-based iterative algorithm to solve certain optimization problems in machine learning, where we start the algorithm by aggregating the original data, solving the problem on aggregated data, and then in subsequent…

Machine Learning · Statistics 2017-01-23 Young Woong Park , Diego Klabjan

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

Functional verification constitutes one of the most challenging tasks in the development of modern hardware systems, and simulation-based verification techniques dominate the functional verification landscape. A dominant paradigm in…

Logic in Computer Science · Computer Science 2013-04-08 Supratik Chakraborty , Kuldeep S. Meel , Moshe Y. Vardi

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem. Good way in SAT solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional…

Cryptography and Security · Computer Science 2009-07-13 R. T. Faizullin , I. G. Khnykin , V. I. Dylkeyt

With the increasing availability of parallel computing power, there is a growing focus on parallelizing algorithms for important automated reasoning problems such as Boolean satisfiability (SAT). Divide-and-Conquer (D&C) is a popular…

Logic in Computer Science · Computer Science 2022-09-13 Abhishek Nair , Saranyu Chattopadhyay , Haoze Wu , Alex Ozdemir , Clark Barrett