Download or read book The Complexity of Valued Constraint Satisfaction Problems written by Stanislav Živný and published by Springer Science & Business Media. This book was released on 2012-10-19 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this book is the following optimisation problem: given a set of discrete variables and a set of functions, each depending on a subset of the variables, minimise the sum of the functions over all variables. This fundamental research problem has been studied within several different contexts of discrete mathematics, computer science and artificial intelligence under different names: Min-Sum problems, MAP inference in Markov random fields (MRFs) and conditional random fields (CRFs), Gibbs energy minimisation, valued constraint satisfaction problems (VCSPs), and, for two-state variables, pseudo-Boolean optimisation. In this book the author presents general techniques for analysing the structure of such functions and the computational complexity of the minimisation problem, and he gives a comprehensive list of tractable cases. Moreover, he demonstrates that the so-called algebraic approach to VCSPs can be used not only for the search for tractable VCSPs, but also for other questions such as finding the boundaries to the applicability of certain algorithmic techniques. The book is suitable for researchers interested in methods and results from the area of constraint programming and discrete optimisation.

Download or read book The Complexity of Valued Constraint Satisfaction Problems written by Springer and published by . This book was released on 2012-10-20 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Complexity of Infinite Domain Constraint Satisfaction written by Manuel Bodirsky and published by Cambridge University Press. This book was released on 2021-06-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the universal-algebraic approach to classifying the computational complexity of constraint satisfaction problems.

Download or read book Complexity Classifications for the Valued Constraint Satisfaction Problem written by Robert David Powell and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Complexity of Constraints written by Nadia Creignou and published by Springer. This book was released on 2008-12-23 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays constraint satisfaction problems (CSPs) are ubiquitous in many different areas of computer science, from artificial intelligence and database systems to circuit design, network optimization, and theory of programming languages. Consequently, it is important to analyze and pinpoint the computational complexity of certain algorithmic tasks related to constraint satisfaction. The complexity-theoretic results of these tasks may have a direct impact on, for instance, the design and processing of database query languages, or strategies in data-mining, or the design and implementation of planners. This state-of-the-art survey contains the papers that were invited by the organizers after conclusion of an International Dagstuhl-Seminar on Complexity of Constraints, held in Dagstuhl Castle, Germany, in October 2006. A number of speakers were solicited to write surveys presenting the state of the art in their area of expertise. These contributions were peer-reviewed by experts in the field and revised before they were collated to the 9 papers of this volume. In addition, the volume contains a reprint of a survey by Kolaitis and Vardi on the logical approach to constraint satisfaction that first appeared in 'Finite Model Theory and its Applications', published by Springer in 2007.

Download or read book Constraint Satisfaction Problems written by Khaled Ghedira and published by John Wiley & Sons. This book was released on 2013-02-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Constraint Satisfaction Problem (CSP) consists of a set of variables, a domain of values for each variable and a set of constraints. The objective is to assign a value for each variable such that all constraints are satisfied. CSPs continue to receive increased attention because of both their high complexity and their omnipresence in academic, industrial and even real-life problems. This is why they are the subject of intense research in both artificial intelligence and operations research. This book introduces the classic CSP and details several extensions/improvements of both formalisms and techniques in order to tackle a large variety of problems. Consistency, flexible, dynamic, distributed and learning aspects are discussed and illustrated using simple examples such as the n-queen problem. Contents 1. Foundations of CSP. 2. Consistency Reinforcement Techniques. 3. CSP Solving Algorithms. 4. Search Heuristics. 5. Learning Techniques. 6. Maximal Constraint Satisfaction Problems. 7. Constraint Satisfaction and Optimization Problems. 8. Distibuted Constraint Satisfaction Problems. About the Authors Khaled Ghedira is the general managing director of the Tunis Science City in Tunisia, Professor at the University of Tunis, as well as the founding president of the Tunisian Association of Artificial Intelligence and the founding director of the SOIE research laboratory. His research areas include MAS, CSP, transport and production logistics, metaheuristics and security in M/E-government. He has led several national and international research projects, supervised 30 PhD theses and more than 50 Master’s theses, co-authored about 300 journal, conference and book research papers, written two text books on metaheuristics and production logistics and co-authored three others.

Download or read book Complexity Classifications of Boolean Constraint Satisfaction Problems written by Nadia Creignou and published by SIAM. This book was released on 2001-01-01 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many fundamental combinatorial problems, arising in such diverse fields as artificial intelligence, logic, graph theory, and linear algebra, can be formulated as Boolean constraint satisfaction problems (CSP). This book is devoted to the study of the complexity of such problems. The authors' goal is to develop a framework for classifying the complexity of Boolean CSP in a uniform way. In doing so, they bring out common themes underlying many concepts and results in both algorithms and complexity theory. The results and techniques presented here show that Boolean CSP provide an excellent framework for discovering and formally validating "global" inferences about the nature of computation.

Download or read book The Fine grained Complexity of Constraint Satisfaction Problems written by László Egri and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Constraint satisfaction problems (CSPs) provide a unified framework for studying a wide variety of computational problems naturally arising in combinatorics, artificial intelligence and database theory. To any finite domain D and any constraint language [Gamma] (a finite set of relations over D), we associate the constraint satisfaction problem CSP([Gamma]): an instance of CSP([Gamma]) consists of a list of variables x1,x2,...,xn and a list of constraints of the form "(x7,x2,...,x5) [symbol] R" for some relation R in [Gamma]. The goal is to determine whether the variables can be assigned values in D such that all constraints are simultaneously satisfied. The computational complexity of CSP([Gamma]) is entirely determined by the structure of the constraint language [Gamma] and, thus, one wishes to identify classes of [Gamma] such that CSP([Gamma]) belongs to a particular complexity class. In recent years, combined logical and algebraic approaches to understand the complexity of CSPs within the complexity class P have been especially fruitful. In particular, precise algebraic conditions on [Gamma] have been conjectured to be sufficient and necessary for the membership of CSP([Gamma]) in the complexity classes L and NL (under standard complexity theoretic assumptions, e.g. L different from NL). These algebraic conditions are known to be necessary, and from the algorithmic side, a promising body of evidence is fast-growing. The main tools to establish membership of CSPs in L and NL are the logic programming fragments symmetric and linear Datalog, respectively. This thesis is centered around the above algebraic conjecture for CSPs in L, and most of the technical work is devoted to establishing the membership of several large classes of CSPs in L. Among other results, we characterize all graphs for which the list homomorphism problem is in L, a well-studied and natural class of CSPs. We also extend this result to obtain a complete characterization of the complexity of the list homomorphism for graphs. We develop new tool (dualities for symmetric Datalog) to show membership of CSPs in L, prove an L-NL dichotomy for the list homomorphism problem for oriented paths, provide results about the structure and polymorphisms of Maltsev digraphs, and also contribute to the conjecture of Dalmau that every CSP in NL is in fact in linear Datalog." --

Download or read book Constraint Satisfaction Techniques for Agent Based Reasoning written by Nicoleta Neagu and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraint satisfaction problems are significant in the domain of automated reasoning for artificial intelligence. They can be applied to the modeling and solving of a wide range of combinatorial applications such as planning, scheduling and resource sharing in a variety of practical domains such as transportation, production, supply-chains, network management and human resource management. In this book we study new techniques for solving constraint satisfaction problems, with a special focus on solution adaptation applied to agent reasoning.

Download or read book Constraint Satisfaction Problems and Friends written by Akbar Rafiey and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Constraint Satisfaction Problem (CSP) provides a general framework for a wide range of combinatorial problems dealing with mappings and assignments, including satisfiability, graph colorability, and systems of equations. Followed by seminal work of Feder and Vardi 1993, universal algebraic techniques have been developed and quite successfully employed in studies of CSPs from different perspectives. In this dissertation, we consider two significant generalizations of CSPs, namely the Ideal Membership Problem (IMP) and Valued CSP (VCSP), and study them through the lens of universal algebra.IMP is a fundamental algorithmic problem in which we are given a real polynomial f and an ideal I and the question is to decide whether f belongs to the ideal I. We consider a systematic study of IMPs arising from CSPs where the type of constraints is limited to relations from a constraint language. We show that many CSP techniques can be translated to IMPs thus allowing us to significantly improve the methods of studying the complexity of the IMP. We also develop universal algebraic techniques for the IMP that have been so useful in the study of the CSP. This allows us to prove a general necessary condition for the tractability of the IMP, and several sufficient ones. We furthermore introduce a variant of the IMP and study its complexity. We prove several algorithmic consequences of it such as a unifying framework to design polynomial-time algorithm to construct Groebner basis for many combinatorial problems. Finally, we study applications of our results in automatability of Sum-of-Squares (SoS) proofs and construction of Theta Bodies of combinatorial problems. We then turn our attention to the most general optimization variant of the CSP namely, Valued Constraint Satisfaction Problem (VCSP), which deals with both feasibility and optimization. We consider the Minimum Cost H-coloring problem which is an important type of VCSP and is a natural optimization version of the classical H-coloring problem. We give a complete classification of graphs, in terms of their polymorphisms, for which the Minimum Cost H-coloring is approximable within a constant factor, and present several positive results regarding digraphs. From a more practical point of view, VCSPs are at the core of many machine learning and data mining tasks and in numerous number of such applications the underlying VCSPs satisfy the submodularity property. We study central topics in machine learning, namely differential privacy and sparsification, in the context of submodularity, and present several algorithmic results.

Download or read book Constraint Processing written by Rina Dechter and published by Morgan Kaufmann. This book was released on 2003-05-05 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraint reasoning has matured over the last three decades with contributions from a diverse community of researchers in artificial intelligence, databases and programming languages, operations research, management science, and applied mathematics. In Constraint Processing, Rina Dechter synthesizes these contributions, as well as her own significant work, to provide the first comprehensive examination of the theory that underlies constraint processing algorithms.

Download or read book Foundations of Constraint Satisfaction written by Edward Tsang and published by Academic Press. This book was released on 2014-05-10 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Constraint Satisfaction discusses the foundations of constraint satisfaction and presents algorithms for solving constraint satisfaction problems (CSPs). Most of the algorithms described in this book are explained in pseudo code, and sometimes illustrated with Prolog codes (to illustrate how the algorithms could be implemented). Comprised of 10 chapters, this volume begins by defining the standard CSP and the important concepts around it and presenting examples and applications of CSPs. The reader is then introduced to the main features of CSPs and CSP solving techniques (problem reduction, searching, and solution synthesis); some of the most important concepts related to CSP solving; and problem reduction algorithms. Subsequent chapters deal with basic control strategies of searching which are relevant to CSP solving; the significance of ordering the variables, values and compatibility checking in searching; specialized search techniques which gain their efficiency by exploiting problem-specific features; and stochastic search approaches (including hill climbing and connectionist approaches) for CSP solving. The book also considers how solutions can be synthesized rather than searched for before concluding with an analysis of optimization in CSPs. This monograph can be used as a reference by artificial intelligence (AI) researchers or as a textbook by students on advanced AI courses, and should also help knowledge engineers apply existing techniques to solve CSPs or problems which embed CSPs.

Download or read book On the Valued Constraint Satisfaction Problem written by Peter Fulla and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Artificial Intelligence written by Stuart Russell and published by Createspace Independent Publishing Platform. This book was released on 2016-09-10 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial Intelligence: A Modern Approach offers the most comprehensive, up-to-date introduction to the theory and practice of artificial intelligence. Number one in its field, this textbook is ideal for one or two-semester, undergraduate or graduate-level courses in Artificial Intelligence.

Download or read book Principles and Practice of Constraint Programming CP 2004 written by Mark Wallace and published by Springer. This book was released on 2005-01-12 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 10th International Conference on the Principles and Practice of Constraint Programming (CP 2003) was held in Toronto, Canada, during September 27 – October 1, 2004. Information about the conference can be found on the Web at http://ai.uwaterloo.ca/~cp2004/ Constraint programming (CP) is about problem modelling, problem solving, programming, optimization, software engineering, databases, visualization, user interfaces, and anything to do with satisfying complex constraints. It reaches into mathematics, operations research, arti?cial intelligence, algorithms, c- plexity, modelling and programming languages, and many aspects of computer science. Moreover, CP is never far from applications, and its successful use in industry and government goes hand in hand with the success of the CP research community. Constraintprogrammingcontinuesto beanexciting,?ourishingandgrowing research?eld,astheannualCPconferenceproceedingsamplywitness.Thisyear, from 158 submissions, we chose 46 to be published in full in the proceedings. Instead of selecting one overall best paper, we picked out four “distinguished” papers – though we were tempted to select at least 12 such papers. In addition we included 16 short papersin the proceedings– these were presentedas posters at CP 2004. This volume includes summaries of the four invited talks of CP 2004. Two speakers from industry were invited. However these were no ordinary industrial representatives,buttwoofthe leadingresearchersinthe CPcommunity:Helmut Simonis of Parc Technologies, until its recent takeover by Cisco Systems; and Jean Francoi ̧ s Puget, Director of Optimization Technology at ILOG. The other two invited speakers are also big movers and shakers in the researchcommunity.

Download or read book Principles and Practice of Constraint Programming CP 2003 written by Francesca Rossi and published by Springer. This book was released on 2003-11-18 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Ninth International Conference on Principles and Practice of Constraint Programming (CP 2003), held in Kinsale, Ireland, from September 29 to October 3, 2003. Detailed information about the CP 2003 conference can be found at the URL http://www.cs.ucc.ie/cp2003/ The CP conferences are held annually and provide an international forum for the latest results on all aspects of constraint programming. Previous CP conferences were held in Cassis (France) in 1995, in Cambridge (USA) in 1996, in Schloss Hagenberg (Austria) in 1997, in Pisa (Italy) in 1998, in Alexandria (USA) in 1999, in Singapore in 2000, in Paphos (Cyprus) in 2001, and in Ithaca (USA) in 2002. Like previous CP conferences, CP 2003 again showed the interdisciplinary nature of computing with constraints, and also its usefulness in many problem domains and applications. Constraint programming, with its solvers, languages, theoretical results, and applications, has become a widely recognized paradigm to model and solve successfully many real-life problems, and to reason about problems in many research areas.

Download or read book Computer Science Theory and Applications written by Dima Grigoriev and published by Springer Science & Business Media. This book was released on 2006-05-15 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Computer Science in Russia (CSR 2006) was held on June 8–12, 2006 in St. Petersburg, Russia, hosted by the Steklov Institute of Mathematics at St. Petersburg.