Algorithms For The Satisfiability Problem
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The Satisfiability Problem
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Author : Schöning, Uwe
language : en
Publisher: Lehmanns Media
Release Date : 2013-01-01
The Satisfiability Problem written by Schöning, Uwe and has been published by Lehmanns Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Algorithms categories.
The satisfiability problem of propositional logic, SAT for short, is the first algorithmic problem that was shown to be NP-complete, and is the cornerstone of virtually all NP-completeness proofs. The SAT problem consists of deciding whether a given Boolean formula has a “solution”, in the sense of an assignment to the variables making the entire formula to evaluate to true. Over the last few years very powerful algorithms have been devised being able to solve SAT problems with hundreds of thousands of variables. For difficult (or randomly generated) formulas these algorithms can be compared to the proverbial search for the needle in a haystack. This book explains how such algorithms work, for example, by exploiting the structure of the SAT problem with an appropriate logical calculus, like resolution. But also algorithms based on “physical” principles are considered. I was delighted to see how nicely the authors were able to cover such a variety of topics with elegance. I cannot resist saying that the introduction to SAT on page 9 is absolutely the best I ever expect to see in any book! Donald E. Knuth, Stanford University This book gives lucid descriptions of algorithms for SAT that are better than you would think! A must-read for anyone in theory. William Gasarch, University of Maryland It was a wonderful surprise to see a deep mathematical analysis of important algorithms for SAT presented so clearly and concisely. This is an excellent introductory book for studying the foundations of constraint satisfaction. Osamu Watanabe, Tokyo Institute of Technology
Satisfiability Problem
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Author : Dingzhu Du
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-01-01
Satisfiability Problem written by Dingzhu Du and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
The satisfiability (SAT) problem is central in mathematical logic, computing theory, and many industrial applications. There has been a strong relationship between the theory, the algorithms, and the applications of the SAT problem. This book aims to bring together work by the best theorists, algorithmists, and practitioners working on the sat problem and on industrial applications, as well as to enhance the interaction between the three research groups. The book features the applications of theoretical/algorithmic results to practical problems and presents practical examples for theoretical/algoritmic study. Major topics covered in the book include practical and industial SAT problems and benchmarks, significant case studies and applications of the SAT problem and SAT algorithms, new algorithms and improved techniques for satisfiability testing, specific data structures and implementation details of the SAT algorithms, and the theoretical study of the SAT problem and SAT algorithms.
Handbook Of Satisfiability
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Author : A. Biere
language : en
Publisher: IOS Press
Release Date : 2021-05-05
Handbook Of Satisfiability written by A. Biere and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-05 with Computers categories.
Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"
Algorithms For The Satisfiability Problem
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Author : Jun Gu
language : en
Publisher:
Release Date : 1999
Algorithms For The Satisfiability Problem written by Jun Gu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
The satisfiability (SAT) problem is central in mathematical logic and computing theory, representing a core of computationally intractable NP-complete problems. It is a fundamental hurdle in solving many problems in automated reasoning, computer-aided design, computer-aided manufacturing, machine vision, database construction and maintenance, robotics, scheduling, integrated circuit design, computer architecture design, and computer networking. Efficient methods for solving the SAT problem play an important role in the development of practical computing systems. Traditional methods treat SAT as a discrete, constrained decision problem. In recent years, many optimization methods, parallel algorithms, and other practical new techniques have been developed for solving the SAT problem. This book describes these state-of-the-art methods, both sequential and parallel, and discusses tradeoffs and limitations in the rapidly growing field of satisfiability testing. It will be useful for computer theorists, algorithmists, and practitioners working in all areas in computer science, computer engineering, operations research, and applied logic.
Algorithms For The Satisfiability Problem
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Author : Daniel Rolf
language : en
Publisher:
Release Date : 2006
Algorithms For The Satisfiability Problem written by Daniel Rolf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Exact Algorithms For Constraint Satisfaction Problems
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Author : Robin Alexander Moser
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2013
Exact Algorithms For Constraint Satisfaction Problems written by Robin Alexander Moser and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Computers categories.
The Boolean satisfiability problem (SAT) and its generalization to variables of higher arities - constraint satisfaction problems (CSP) - can arguably be called the most "natural" of all NP-complete problems. The present work is concerned with their algorithmic treatment. It consists of two parts. The first part investigates CSPs for which satisfiability follows from the famous Lovasz Local Lemma. Since its discovery in 1975 by Paul Erdos and Laszlo Lovasz, it has been known that CSPs without dense spots of interdependent constraints always admit a satisfying assignment. However, an iterative procedure to discover such an assignment was not available. We refine earlier attempts at making the Local Lemma algorithmic and present a polynomial time algorithm which is able to make almost all known applications constructive. In the second part, we leave behind the class of polynomial time tractable problems and instead investigate the randomized exponential time algorithm devised and analyzed by Uwe Schoning in 1999, which solves arbitrary clause satisfaction problems. Besides some new interesting perspectives on the algorithm, the main contribution of this part consists of a refinement of earlier approaches at derandomizing Schoning's algorithm. We present a deterministic variant which losslessly reaches the performance of the randomized original.
The Satisfiability Problem
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Author : John V. Franco
language : en
Publisher: Elsevier Science Limited
Release Date : 1999
The Satisfiability Problem written by John V. Franco and has been published by Elsevier Science Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Theory And Applications Of Satisfiability Testing
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Author : Holger H. Hoos
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-08
Theory And Applications Of Satisfiability Testing written by Holger H. Hoos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-08 with Computers categories.
This book constitutes the refereed proceedings of the 7th International Conference on Theory and Applications of Satisfiability Testing, SAT 2004, held in Vancouver, BC, Canada in May 2004. The 24 revised full papers presented together with 2 invited papers were carefully selected from 72 submissions. In addition there are 2 reports on the 2004 SAT Solver Competition and the 2004 QBF Solver Evaluation. The whole spectrum of research in propositional and quantified Boolean formula satisfiability testing is covered; bringing together the fields of theoretical and experimental computer science as well as the many relevant application areas.
On The Probablistic Performance Of Algorithms For The Satisfiability Problem
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Author : John Franco
language : en
Publisher:
Release Date : 1985
On The Probablistic Performance Of Algorithms For The Satisfiability Problem written by John Franco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algorithms categories.
Theory And Applications Of Satisfiability Testing
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Author : Fahiem Bacchus
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-09
Theory And Applications Of Satisfiability Testing written by Fahiem Bacchus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-09 with Computers categories.
This book constitutes the refereed proceedings of the 8th International Conference on Theory and Applications of Satisfiability Testing, SAT 2005, held in St Andrews, Scotland in June 2005. The 26 revised full papers presented together with 16 revised short papers presented as posters during the technical programme were carefully selected from 73 submissions. The whole spectrum of research in propositional and quantified Boolean formula satisfiability testing is covered including proof systems, search techniques, probabilistic analysis of algorithms and their properties, problem encodings, industrial applications, specific tools, case studies, and empirical results.