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constraint propagation for soft constraints: Generalization and termination conditions 6th

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6th international conference on principles and practice of constraint programming, cp2000

作者： Bistarelli, S. Gennari, R. Rossi, F. Università di Pisa Dipartimento di Informatica Corso Italia 40 Pisa56125 Italy ILLC Institute of Logic Language and Computation University of Amsterdam N. Doelenstraat 15 Amsterdam1012 CP Netherlands Università di Padova Dipartimento di Matematica Pura ed Applicata Via Belzoni 7 Padova35131 Italy

ISBN: (纸本)3540410538

Soft constraints based on semirings are a generalization of classical constraints, where tuples of variables’ values in each soft constraint are uniquely associated to elements from an algebraic structure called semiring. this framework is able to express, for example, fuzzy, classical, weighted, valued and over-constrained constraint problems. Classical constraint propagation has been extended and adapted to soft constraints by defining a schema for soft local consistency [BMR97]. On the other hand, in [Apt99a,Apt99b] it has been proved that most of the well known constraint propagation algorithms for classical constraints can be cast within a single schema. In this paper we combine these two schema and we show how the framework of [Apt99a,Apt99b] can be used for soft constraints. In doing so, we generalize the concept of soft local consistency, and we prove some convenient properties about its termination. © Springer-Verlag Berlin Heidelberg 2000.

关键词： constraint theory

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HADDOCK: A Language and Architecture for Decision Diagram Compilation 26th

HADDOCK: A Language and Architecture for Decision Diagram C...

引用

26th international conference on principles and practice of constraint programming, cp 2020

作者： Gentzel, Rebecca Michel, Laurent van Hoeve, W.-J. University of Connecticut StorrsCT06269 United States Carnegie Mellon University PittsburghPA15213 United States

ISBN: (纸本)9783030584740

Multi-valued decision diagrams (MDDs) were introduced into constraint programming over a decade ago as a powerful alternative to domain propagation. While effective MDD-propagation algorithms have been proposed for various constraints, to date no system exists that can generically compile and combine MDD propagation for arbitrary constraints. To fill this need, we introduce Haddock, a declarative language and architecture for MDD compilation. Haddock supports the specification, implementation, and composition of a broad range of MDD propagators that delivers the strength one expects from MDDs at a fraction of the development effort and with comparable performance. this paper describes the language, the framework architecture, outlines its performance credentials and demonstrates how to specify and implement novel MDD propagators. © 2020, Springer Nature Switzerland AG.

关键词： constraint theory

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Revisiting neighborhood inverse consistency on binary CSPs

Revisiting neighborhood inverse consistency on binary CSPs

引用

18th international conference on principles and practice of constraint programming, cp 2012

作者： Woodward, Robert J. Karakashian, Shant Choueiry, Berthe Y. Bessiere, Christian Constraint Systems Laboratory University of Nebraska-Lincoln United States LIRMM-CNRS University of Montpellier France

ISBN: (纸本)9783642335570

Our goal is to investigate the definition and application of strong consistency properties on the dual graphs of binary constraint Satisfaction Problems (CSPs). As a first step in that direction, we study the structure of the dual graph of binary CSPs, and show how it can be arranged in a triangle-shaped grid. We then study, in this context, Relational Neighborhood Inverse Consistency (RNIC), which is a consistency property that we had introduced for non-binary CSPs [17]. We discuss how the structure of the dual graph of binary CSPs affects the consistency level enforced by RNIC. then, we compare, both theoretically and empirically, RNIC to Neighborhood Inverse Consistency (NIC) and strong Conservative Dual Consistency (sCDC), which are higher-level consistency properties useful for solving difficult problem instances. We show that all three properties are pairwise incomparable. © 2012 Springer-Verlag.

关键词： constraint satisfaction problems

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Effective Encodings of constraint programming Models to SMT 26th

Effective Encodings of Constraint Programming Models to SMT

引用

26th international conference on principles and practice of constraint programming, cp 2020

作者： Davidson, Ewan Akgün, Özgür Espasa, Joan Nightingale, Peter School of Computer Science University of St Andrews St Andrews United Kingdom Department of Computer Science University of York York United Kingdom

ISBN: (纸本)9783030584740

Satisfiability Modulo theories (SMT) is a well-established methodology that generalises propositional satisfiability (SAT) by adding support for a variety of theories such as integer arithmetic and bit-vector operations. SMT solvers have made rapid progress in recent years. In part, the efficiency of modern SMT solvers derives from the use of specialised decision procedures for each theory. In this paper we explore how the Essence Prime constraint modelling language can be translated to the standard SMT-LIB language. We target four theories: bit-vectors (QF_BV), linear integer arithmetic (QF_LIA), non-linear integer arithmetic (QF_NIA), and integer difference logic (QF_IDL). the encodings are implemented in the constraint modelling tool Savile Row. In an extensive set of experiments, we compare our encodings for the four theories, showing some notable differences and complementary strengths. We also compare our new encodings to the existing work targeting SMT and SAT, and to a well-established learning cp solver. Our two proposed encodings targeting the theory of bit-vectors (QF_BV) both substantially outperform earlier work on encoding to QF_BV on a large and diverse set of problem classes. © 2020, Springer Nature Switzerland AG.

关键词： Modeling languages

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A framework for decision-based consistencies

A framework for decision-based consistencies

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17th international conference on principles and practice of constraint programming, cp 2011

作者： Condotta, Jean-François Lecoutre, Christophe CRIL - CNRS UMR 8188 Univ Lille Nord de France Artois LensF-62307 France

ISBN: (纸本)9783642237850

Consistencies are properties of constraint networks that can be enforced by appropriate algorithms to reduce the size of the search space to be explored. Recently, many consistencies built upon taking decisions (most often, variable assignments) and stronger than (generalized) arc consistency have been introduced. In this paper, our ambition is to present a clear picture of decision-based consistencies. We identify four general classes (or levels) of decision-based consistencies, denoted by SφΔ, EφΔ, DφΔ and, study their relationships, and show that known consistencies are particular cases of these classes. Interestingly, this general framework provides us with a better insight into decision-based consistencies, and allows us to derive many new consistencies that can be directly integrated and compared with other ones. © 2011, Springer-Verlag Berlin Heidelberg.

关键词： constraint theory

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Quantum-Accelerated Global constraint Filtering 26th

Quantum-Accelerated Global Constraint Filtering

引用

26th international conference on principles and practice of constraint programming, cp 2020

作者： Booth, Kyle E. C. O’Gorman, Bryan Marshall, Jeffrey Hadfield, Stuart Rieffel, Eleanor NASA Ames Research Center Moffett Field CA94035 United States Mountain ViewCA94043 United States University of California BerkeleyCA94720 United States

ISBN: (纸本)9783030584740

Motivated by recent advances in quantum algorithms and gate-model quantum computation, we introduce quantum-accelerated filtering algorithms for global constraints in constraint programming. We adapt recent work in quantum algorithms for graph problems and identify quantum subroutines that accelerate the main domain consistency algorithms for the alldifferent constraint and the global cardinality constraint (gcc). the subroutines are based on quantum algorithms for finding maximum matchings and strongly connected components in graphs, and provide speedups over the best classical algorithms. We detail both complete and bounded-probability frameworks for quantum-accelerated global constraint filtering algorithms within backtracking search. © 2020, Springer Nature Switzerland AG.

关键词： Quantum computers

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Perturbing Branching Heuristics in constraint Solving 26th

Perturbing Branching Heuristics in Constraint Solving

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26th international conference on principles and practice of constraint programming, cp 2020

作者： Paparrizou, Anastasia Wattez, Hugues CRIL University of Artois & CNRS Lens France

ISBN: (纸本)9783030584740

Variable ordering heuristics are one of the key settings for an efficient constraint solver. During the last two decades, a considerable effort has been spent for designing dynamic heuristics that iteratively change the order of variables as search progresses. At the same time, restart and randomization methods have been devised for alleviating heavy-tailed phenomena that typically arise in backtrack search. Despite restart methods are now well-understood, choosing how and when to randomize a given heuristic remains an open issue in the design of modern solvers. In this paper, we present several conceptually simple perturbation strategies for incorporating random choices in constraint solving with restarts. the amount of perturbation is controlled and learned in a bandit-driven framework under various stationary and non-stationary exploration policies, during successive restarts. Our experimental evaluation shows significant performance improvements for the perturbed heuristics compared to their classic counterpart, establishing the need for incorporating perturbation in modern constraint solvers. © 2020, Springer Nature Switzerland AG.

关键词： Iterative methods

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the expressive power of valued constraints: Hierarchies and collapses

The expressive power of valued constraints: Hierarchies and ...

引用

13th international conference on principles and practice of constraint programming, cp 2007

作者： Cohen, David A. Jeavons, Peter G. Živný, Stanislav Department of Computer Science Royal Holloway University of London United Kingdom Computing Laboratory University of Oxford United Kingdom

ISBN: (纸本)3540749691

In this paper we investigate the ways in which a fixed collection of valued constraints can be combined to express other valued constraints. We show that in some cases a large class of valued constraints, of all possible arities, can be expressed by using valued constraints of a fixed finite arity. We also show that some simple classes of valued constraints, including the set of all monotonie valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy. © Springer-Verlag Berlin Heidelberg 2007.

关键词： constraint theory

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Parallel SAT solver selection and scheduling

Parallel SAT solver selection and scheduling

引用

18th international conference on principles and practice of constraint programming, cp 2012

作者： Malitsky, Yuri Sabharwal, Ashish Samulowitz, Horst Sellmann, Meinolf Cork Constraint Computation Centre University College Cork Ireland IBM Watson Research Center Yorktown Heights NY 10598 United States

ISBN: (纸本)9783642335570

Combining differing solution approaches by means of solver portfolios has proven as a highly effective technique for boosting solver performance. We consider the problem of generating parallel SAT solver portfolios. Our approach is based on a recently introduced sequential SAT solver portfolio that excelled at the last SAT competition. We show how the approach can be generalized for the parallel case, and how obstacles like parallel SAT solvers and symmetries induced by identical processors can be overcome. We compare different ways of computing parallel solver portfolios with the best performing parallel SAT approaches to date. Extensive experimental results show that the developed methodology very significantly improves our current parallel SAT solving capabilities. © 2012 Springer-Verlag.

关键词： Model checking

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Containment, equivalence and coreness from CSP to QCSP and beyond

Containment, equivalence and coreness from CSP to QCSP and b...

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18th international conference on principles and practice of constraint programming, cp 2012

作者： Madelaine, Florent Martin, Barnaby Clermont Université Université d'Auvergne Clermont-Ferrand France France School of Engineering and Computing Sciences Durham University Science Laboratories South Road Durham DH1 3LE United Kingdom

ISBN: (纸本)9783642335570

the constraint satisfaction problem (CSP) and its quantified extensions, whether without (QCSP) or with disjunction (QCSP ), correspond naturally to the model checking problem for three increasingly stronger fragments of positive first-order logic. their complexity is often studied when parameterised by a fixed model, the so-called template. It is a natural question to ask when two templates are equivalent, or more generally when one "contain" another, in the sense that a satisfied instance of the first will be necessarily satisfied in the second. One can also ask for a smallest possible equivalent template: this is known as the core for CSP. We recall and extend previous results on containment, equivalence and "coreness" for QCSP before initiating a preliminary study of cores for QCSP which we characterise for certain structures and which turns out to be more elusive. © 2012 Springer-Verlag.

关键词： constraint satisfaction problems

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