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Related papers: Study: Symmetry breaking for ASP

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Symmetry is an important problem in many combinatorial problems. One way of dealing with symmetry is to add constraints that eliminate symmetric solutions. We survey recent results in this area, focusing especially on two common and useful…

Artificial Intelligence · Computer Science 2012-04-18 Toby Walsh

Combinatorial optimization can be described as the problem of finding a feasible subset that maximizes a objective function. The paper discusses combinatorial optimization problems, where for each dimension the set of feasible subsets is…

Computational Complexity · Computer Science 2024-11-27 Nimrod Megiddo

Symmetry is an important feature of many constraint programs. We show that any problem symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each…

Artificial Intelligence · Computer Science 2010-05-31 George Katsirelos , Toby Walsh

Symmetry is a common feature of many combinatorial problems. Unfortunately eliminating all symmetry from a problem is often computationally intractable. This paper argues that recent parameterized complexity results provide insight into…

Artificial Intelligence · Computer Science 2015-05-19 Toby Walsh

Symmetry is an important feature of many constraint programs. We show that any symmetry acting on a set of symmetry breaking constraints can be used to break symmetry. Different symmetries pick out different solutions in each symmetry…

Artificial Intelligence · Computer Science 2009-09-18 George Katsirelos , Toby Walsh

It is common for search and optimization problems to have alternative equivalent encodings in ASP. Typically none of them is uniformly better than others when evaluated on broad classes of problem instances. We claim that one can improve…

Artificial Intelligence · Computer Science 2019-09-19 Liu Liu , Miroslaw Truszczynski

We study the problem of determining whether a given temporal specification can be implemented by a symmetric system, i.e., a system composed from identical components. Symmetry is an important goal in the design of distributed systems,…

Logic in Computer Science · Computer Science 2017-10-17 Ruediger Ehlers , Bernd Finkbeiner

Feature model configuration can be supported on the basis of various types of reasoning approaches. Examples thereof are SAT solving, constraint solving, and answer set programming (ASP). Using these approaches requires technical expertise…

Artificial Intelligence · Computer Science 2023-08-15 Alexander Felfernig , Viet-Man Le , Sebastian Lubos

The field of algorithmic optimization has significantly advanced with the development of methods for the automatic configuration of algorithmic parameters. This article delves into the Algorithm Configuration Problem, focused on optimizing…

Artificial Intelligence · Computer Science 2024-03-05 Gabriele Iommazzo , Claudia D'Ambrosio , Antonio Frangioni , Leo Liberti

Solution and analysis of mathematical programming problems may be simplified when these problems are symmetric under appropriate linear transformations. In particular, a knowledge of the symmetries may help reduce the problem dimension, cut…

Optimization and Control · Mathematics 2020-10-13 A. V. Eremeev , A. S. Yurkov

Symmetry is an important factor in solving many constraint satisfaction problems. One common type of symmetry is when we have symmetric values. In a recent series of papers, we have studied methods to break value symmetries. Our results…

Artificial Intelligence · Computer Science 2009-03-04 Toby Walsh

When planning motions in a configuration space that has underlying symmetries (e.g. when manipulating one or multiple symmetric objects), the ideal planning algorithm should take advantage of those symmetries to produce shorter…

Robotics · Computer Science 2025-07-18 Thomas Cohn , Russ Tedrake

Constraint satisfaction problem (CSP) is a well-studied combinatorial search problem, in which we are asked to find an assignment of values to given variables so as to satisfy all of given constraints. We study a reconfiguration variant of…

Data Structures and Algorithms · Computer Science 2018-12-31 Tatsuhiko Hatanaka , Takehiro Ito , Xiao Zhou

Algorithm configuration (AC) is concerned with the automated search of the most suitable parameter configuration of a parametrized algorithm. There is currently a wide variety of AC problem variants and methods proposed in the literature.…

Artificial Intelligence · Computer Science 2022-10-14 Elias Schede , Jasmin Brandt , Alexander Tornede , Marcel Wever , Viktor Bengs , Eyke Hüllermeier , Kevin Tierney

In constraint programming and related paradigms, a modeller specifies their problem in a modelling language for a solver to search and return its solution(s). Using high-level modelling languages such as Essence, a modeller may express…

Artificial Intelligence · Computer Science 2025-11-17 Özgür Akgün , Mun See Chang , Ian P. Gent , Christopher Jefferson

Optimization solvers based on methods from constraint programming (OR-Tools, Chuffed, Gecode), optimization modulo theory (Z3), and mathematical programming (CPLEX) are successfully applied nowadays to solve many non-trivial examples.…

Logic in Computer Science · Computer Science 2023-08-23 Bogdan David , Madalina Erascu

Many industrial applications require finding solutions to challenging combinatorial problems. Efficient elimination of symmetric solution candidates is one of the key enablers for high-performance solving. However, existing model-based…

Artificial Intelligence · Computer Science 2022-05-17 Alice Tarzariol , Martin Gebser , Mark Law , Konstantin Schekotihin

Designing component-based constraint solvers is a complex problem. Some components are required, some are optional and there are interdependencies between the components. Because of this, previous approaches to solver design and…

Artificial Intelligence · Computer Science 2011-10-31 Ian P. Gent , Chris Jefferson , Lars Kotthoff , Ian Miguel

Configuring consists in simulating the realization of a complex product from a catalog of component parts, using known relations between types, and picking values for object attributes. This highly combinatorial problem in the field of…

Artificial Intelligence · Computer Science 2007-05-23 Stephane Grandcolas , Laurent Henocque , Nicolas Prcovic

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi
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