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The Satisfiability Problem


The Satisfiability Problem
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The Satisfiability Problem


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


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.



The Satisfiability Problem


The Satisfiability Problem
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Author : John V. Franco
language : en
Publisher:
Release Date : 1999

The Satisfiability Problem written by John V. Franco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




The Satisfiability Problem


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.




On The Complexity Of The Satisfiability Problem


On The Complexity Of The Satisfiability Problem
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Author : Allen T. Goldberg
language : en
Publisher:
Release Date : 1981

On The Complexity Of The Satisfiability Problem written by Allen T. Goldberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.




Handbook Of Satisfiability


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?"



Algebraic Techniques For Satisfiability Problems


Algebraic Techniques For Satisfiability Problems
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Author : Henning Schnoor
language : en
Publisher: Cuvillier Verlag
Release Date : 2007

Algebraic Techniques For Satisfiability Problems written by Henning Schnoor and has been published by Cuvillier Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.




On The Complexity Of The Satisfiability Problem Classic Reprint


On The Complexity Of The Satisfiability Problem Classic Reprint
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Author : Allen T. Goldberg
language : en
Publisher: Forgotten Books
Release Date : 2018-02-07

On The Complexity Of The Satisfiability Problem Classic Reprint written by Allen T. Goldberg and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-07 with Mathematics categories.


Excerpt from On the Complexity of the Satisfiability Problem I would like to acknowledge the support and assistance of Martin Davis, Malcolm Harrison, Alan Konheim, Sandra Rapps, Salvatore Stolfo, Patricia Tobin, and the excellent typist Connie Engle. This thesis is dedicated to the memory of my father, Morris Goldberg, to whom I shall always. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.



Algorithms For The Satisfiability Problem


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.



Satisfiability Problem


Satisfiability Problem
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Author : NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science Staff
language : en
Publisher:
Release Date : 1997

Satisfiability Problem written by NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computer algorithms 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 application of theoretical/algorithmic results to practical problems and presents practical problems for theoretical/al.