Handbook of Satisfiability: Second EditionArmin Biere, Hans van Maaren, Toby Walsh SAGE Publications, 15 mai 2021 - 1484 pages 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?"" |
Table des matières
Part II Applications and Extensions | 737 |
| 1371 | |
Cited Author Index | 1429 |
Contributing Authors and Affiliations | 1463 |
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Expressions et termes fréquents
AAAI algorithm Applications of Satisfiability Artificial Intelligence autarky Automated backtracking binary clauses Boolean CDCL SAT solvers Chapter clause learning clause-sets CNF formula Computer Science Conference on Artificial configuration conflict-driven Constraint Programming constraint satisfaction problems cutting planes decision defined denote DPLL DPLL algorithm efficient encoding example exponential fixed-parameter tractable formula F function Heule heuristics IEEE implication graph input instances integer International Conference k-SAT Latin square learned clauses Lecture Notes linear literals local search logic look-ahead lower bounds Marques-Silva Mathematics MaxSAT minimal unsatisfiable model checking node Notes in Computer optimization parameter partial assignment permutation polynomial polynomial calculus predicates preprocessing procedure Proceedings proof complexity proof system pseudo-Boolean random resolution proofs resolution refutation restarts rule SAT solvers SAT solving satisfiability problem Satisfiability Testing satisfying assignment Section soft clauses solution Springer subset symmetry techniques Theorem tion tree treewidth truth assignment unit clause unit propagation volume