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 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 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 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 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: Presents a novel form of a compendium that classifies an infinite number of problems by using a rule-based approach.
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 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 Principles and Practice of Constraint Programming CP 2011 written by Jimmy Lee and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Conference on Principles and Practice of Constraint Programming, CP 2011, held in Perugia, Italy, September 12-16, 2011. The 51 revised full papers and 7 short papers presented together with three invited talks were carefully reviewed and selected from 159 submissions. The papers are organized in topical sections on algorithms, environments, languages, models and systems, applications such as decision making, resource allocation and agreement technologies.
Download or read book Tractability written by Lucas Bordeaux and published by Cambridge University Press. This book was released on 2014-02-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical computer science textbooks tell us that some problems are 'hard'. Yet many areas, from machine learning and computer vision to theorem proving and software verification, have defined their own set of tools for effectively solving complex problems. Tractability provides an overview of these different techniques, and of the fundamental concepts and properties used to tame intractability. This book will help you understand what to do when facing a hard computational problem. Can the problem be modelled by convex, or submodular functions? Will the instances arising in practice be of low treewidth, or exhibit another specific graph structure that makes them easy? Is it acceptable to use scalable, but approximate algorithms? A wide range of approaches is presented through self-contained chapters written by authoritative researchers on each topic. As a reference on a core problem in computer science, this book will appeal to theoreticians and practitioners alike.
Download or read book Language and Automata Theory and Applications written by Shmuel Tomi Klein and published by Springer. This book was released on 2018-04-03 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Language and Automata Theory and Applications, LATA 2018, held in Ramat Gan, Israel, in April 2018.The 20 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 58 submissions. The papers cover fields like algebraic language theory, algorithms for semi-structured data mining, algorithms on automata and words, automata and logic, automata for system analysis and programme verification, automata networks, automatic structures, codes, combinatorics on words, computational complexity, concurrency and Petri nets, data and image compression, descriptional complexity, foundations of finite state technology, foundations of XML, grammars (Chomsky hierarchy, contextual, unification, categorial, etc.), grammatical inference and algorithmic learning, graphs and graph transformation, language varieties and semigroups, language-based cryptography, mathematical and logical foundations of programming methodologies, parallel and regulated rewriting, parsing, patterns, power series, string processing algorithms, symbolic dynamics, term rewriting, transducers, trees, tree languages and tree automata, and weighted automata.
Download or read book Principles and Practice of Constraint Programming CP 2003 written by Francesca Rossi and published by Springer Science & Business Media. This book was released on 2003-09-24 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Principles and Practice of Constraint Programming, CP 2003, held in Kinsale, Ireland in September/October 2003. The 48 revised full papers and 34 revised short papers presented together with 4 invited papers and 40 abstracts of contributions to the CP 2003 doctoral program were carefully reviewed and selected from 181 submissions. A wealth of recent results in computing with constraints is addressed ranging from foundational and methodological issues to solving real-world problems in a variety of application fields.
Download or read book Principles and Practice of Constraint Programming CP 2012 written by Michela Milano and published by Springer. This book was released on 2012-10-03 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 18th International Conference on Principles and Practice of Constraint Programming (CP 2012), held in Québec, Canada, in October 2012. The 68 revised full papers were carefully selected from 186 submissions. Beside the technical program, the conference featured two special tracks. The former was the traditional application track, which focused on industrial and academic uses of constraint technology and its comparison and integration with other optimization techniques (MIP, local search, SAT, etc.) The second track, featured for the first time in 2012, concentrated on multidisciplinary papers: cross-cutting methodology and challenging applications collecting papers that link CP technology with other techniques like machine learning, data mining, game theory, simulation, knowledge compilation, visualization, control theory, and robotics. In addition, the track focused on challenging application fields with a high social impact such as CP for life sciences, sustainability, energy efficiency, web, social sciences, finance, and verification.
Download or read book Structural Theory of Automata Semigroups and Universal Algebra written by Valery B. Kudryavtsev and published by Springer Science & Business Media. This book was released on 2006-01-18 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Automata, Universal Algebra, Varieties
Download or read book Complexity of Constraints written by Nadia Creignou and published by Springer Science & Business Media. This book was released on 2008-12-18 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 Principles and Practice of Constraint Programming CP 2006 written by Frédéric Benhamou and published by Springer. This book was released on 2006-09-29 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Principles and Practice of Constraint Programming, CP 2006, held in Nantes, France in September 2006. The 42 revised full papers and 21 revised short papers presented together with extended abstracts of four invited talks were carefully reviewed and selected from 142 submissions. All current issues of computing with constraints are addressed.
Download or read book Computing and Combinatorics written by Bin Fu and published by Springer. This book was released on 2011-07-18 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th Annual International Conference on Computing and Combinatorics, held in Dallas, TX, USA, in August 2011. The 54 revised full papers presented were carefully reviewed and selected from 136 submissions. Topics covered are algorithms and data structures; algorithmic game theory and online algorithms; automata, languages, logic, and computability; combinatorics related to algorithms and complexity; complexity theory; computational learning theory and knowledge discovery; cryptography, reliability and security, and database theory; computational biology and bioinformatics; computational algebra, geometry, and number theory; graph drawing and information visualization; graph theory, communication networks, and optimization; parallel and distributed computing.
