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Book The Satisfiability Problem

Download or read book The Satisfiability Problem written by Schöning, Uwe and published by Lehmanns Media. This book was released on 2013-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Book Satisfiability Problem

    Book Details:
  • Author : Dingzhu Du
  • Publisher : American Mathematical Soc.
  • Release : 1997-01-01
  • ISBN : 9780821870808
  • Pages : 778 pages

Download or read book Satisfiability Problem written by Dingzhu Du and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Handbook of Satisfiability

Download or read book Handbook of Satisfiability written by A. Biere and published by IOS Press. This book was released on 2021-05-05 with total page 1486 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?"

Book A Survey of Lower Bounds for Satisfiability and Related Problems

Download or read book A Survey of Lower Bounds for Satisfiability and Related Problems written by Dieter van Melkebeek and published by Now Publishers Inc. This book was released on 2007 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the recently discovered lower bounds for the time and space complexity of satisfiability and closely related problems. It overviews the state-of-the-art results on general deterministic, randomized, and quantum models of computation, and presents the underlying arguments in a unified framework.

Book Algebraic Techniques for Satisfiability Problems

Download or read book Algebraic Techniques for Satisfiability Problems written by Henning Schnoor and published by Cuvillier Verlag. This book was released on 2007 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory and Applications of Satisfiability Testing

Download or read book Theory and Applications of Satisfiability Testing written by Enrico Giunchiglia and published by Springer Science & Business Media. This book was released on 2004-01-26 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 6th International Conference on Theory and Applications of Satisfiability Testing, SAT 2003, held in Santa Margherita Ligure, Italy, in May 2003. The 33 revised full papers presented together with 5 articles reporting results of the related SAT competition and QBF evaluation were carefully selected during two rounds of reviewing and improvement from 67 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.

Book Theory and Applications of Satisfiability Testing

Download or read book Theory and Applications of Satisfiability Testing written by Holger H. Hoos and published by Springer. This book was released on 2005-08-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Computability and Logic

    Book Details:
  • Author : George S. Boolos
  • Publisher : Cambridge University Press
  • Release : 2002-03-04
  • ISBN : 9780521007580
  • Pages : 374 pages

Download or read book Computability and Logic written by George S. Boolos and published by Cambridge University Press. This book was released on 2002-03-04 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. John Burgess has now enhanced the book by adding a selection of problems at the end of each chapter, and by reorganising and rewriting chapters to make them more independent of each other and thus to increase the range of options available to instructors as to what to cover and what to defer.

Book Signal Processing and Information Technology

Download or read book Signal Processing and Information Technology written by Vinu V. Das and published by Springer. This book was released on 2014-11-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Second International Joint Conference in Signal Processing and Information Technology, SPIT 2012, held in Dubai, UAE, in September 2012. The 32 papers included in this volume were carefully reviewed and selected from 330 submissions. The papers cover research and development activities in computer science, information technology, computational engineering, image and signal processing, and communication.

Book Cliques  Coloring  and Satisfiability

Download or read book Cliques Coloring and Satisfiability written by David S. Johnson and published by American Mathematical Soc.. This book was released on 1996-01-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of a DIMACS Challenge is to encourage and coordinate research in the experimental analysis of algorithms. The First DIMACS Challenge encouraged experimental work in the area of network flow and matchings. This Second DIMACS Challenge, on which this volume is based, took place in conjunction with the DIMACS Special Year on Combinatorial Optimization. Addressed here are three difficult combinatorial optimization problems: finding cliques in a graph, colouring the vertices of a graph, and solving instances of the satisfiability problem. These problems were chosen both for their practical interest and because of their theoretical intractability.

Book Foundations of Algorithms Using Java Pseudocode

Download or read book Foundations of Algorithms Using Java Pseudocode written by Richard E. Neapolitan and published by Jones & Bartlett Learning. This book was released on 2004 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intro Computer Science (CS0)

Book Theory and Applications of Satisfiability Testing     SAT 2016

Download or read book Theory and Applications of Satisfiability Testing SAT 2016 written by Nadia Creignou and published by Springer. This book was released on 2016-06-10 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Theory and Applications of Satisfiability Testing, SAT 2016, held in Bordeaux, France, in July 2016. The 31 regular papers, 5 tool papers presented together with 3 invited talks were carefully reviewed and selected from 70 submissions. The papers address different aspects of SAT, including complexity, satisfiability solving, satisfiability applications, satisfiability modulop theory, beyond SAT, quantified Boolean formula, and dependency QBF.

Book Search Algorithms for Satisfiability Problems in Combinational Switching Circuits

Download or read book Search Algorithms for Satisfiability Problems in Combinational Switching Circuits written by João Paulo Marques da Silva and published by . This book was released on 1995 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Combinatorial Optimization

Download or read book Combinatorial Optimization written by Alexander Schrijver and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Book CONCUR  94  Concurrency Theory

Download or read book CONCUR 94 Concurrency Theory written by Bengt Jonsson and published by Springer. This book was released on 2006-04-10 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the Fifth International Conference on Concurrency Theory, CONCUR '94, held at Uppsala, Sweden in August 1994. In total, 29 refereed research papers selected from 108 submissions for the conference are presented together with full papers or abstracts of the 5 invited talks by prominent speakers. The book contains recent results on all relevant aspects of concurrency research and thus competently documents the progress of the field since the predecessor conference CONCUR '93, the proceedings of which are published as LNCS 715.

Book Mathematical Foundations of Computer Science 2015

Download or read book Mathematical Foundations of Computer Science 2015 written by Giuseppe F. Italiano and published by Springer. This book was released on 2015-08-10 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set LNCS 9234 and 9235 constitutes the refereed conference proceedings of the 40th International Symposium on Mathematical Foundations of Computer Science, MFCS 2015, held in Milan, Italy, in August 2015. The 82 revised full papers presented together with 5 invited talks were carefully selected from 201 submissions. The papers feature high-quality research in all branches of theoretical computer science. They have been organized in the following topical main sections: logic, semantics, automata, and theory of programming (volume 1) and algorithms, complexity, and games (volume 2).

Book The Classical Decision Problem

Download or read book The Classical Decision Problem written by Egon Börger and published by Springer Science & Business Media. This book was released on 2001-08-28 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises.