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?"

Knowledge representation, which lies at the core of artificial intelligence, is concerned with encoding knowledge on computers to enable systems to reason automatically. The aims are to help readers make their computer smarter, handle qualitative and uncertain information, and improve computational tractability.

"A staple for paddlers.... [The Packraft Handbook has] now become the bible for outdoor recreators taking their inflatable rafts into the backcountry." ― Anchorage Daily News 2021 National Outdoor Book Award Winner in Outdoor Adventure Guides 2022 Banff Mountain Book Competition Guidebook Winner Alaska-based author is a leading expert on wilderness travel Emphasis on skill progression and safety applies to wide range of outdoor water recreation Vibrant illustrations and photos inform and inspire The Packraft Handbook is a comprehensive guide to packrafting, with a strong emphasis on skill progression and safety. Readers will learn to maneuver through river features and open water, mitigate risk with trip planning and boat control, and how to react when things go wrong. Beginners will find everything they need to know to get started--from packraft care to proper paddling position as well as what to wear and how to communicate. Illustrated for visual learners and featuring stunning photography, The Packraft Handbook has something to offer all packrafters and other whitewater sports enthusiasts.

Model checking is a computer-assisted method for the analysis of dynamical systems that can be modeled by state-transition systems. Drawing from research traditions in mathematical logic, programming languages, hardware design, and theoretical computer science, model checking is now widely used for the verification of hardware and software in industry. The editors and authors of this handbook are among the world's leading researchers in this domain, and the 32 contributed chapters present a thorough view of the origin, theory, and application of model checking. In particular, the editors classify the advances in this domain and the chapters of the handbook in terms of two recurrent themes that have driven much of the research agenda: the algorithmic challenge, that is, designing model-checking algorithms that scale to real-life problems; and the modeling challenge, that is, extending the formalism beyond Kripke structures and temporal logic. The book will be valuable for researchers and graduate students engaged with the development of formal methods and verification tools.

Constraint programming is a powerful paradigm for solving combinatorial search problems that draws on a wide range of techniques from artificial intelligence, computer science, databases, programming languages, and operations research. Constraint programming is currently applied with success to many domains, such as scheduling, planning, vehicle routing, configuration, networks, and bioinformatics.The aim of this handbook is to capture the full breadth and depth of the constraint programming field and to be encyclopedic in its scope and coverage. While there are several excellent books on constraint programming, such books necessarily focus on the main notions and techniques and cannot cover also extensions, applications, and languages. The handbook gives a reasonably complete coverage of all these lines of work, based on constraint programming, so that a reader can have a rather precise idea of the whole field and its potential. Of course each line of work is dealt with in a survey-like style, where some details may be neglected in favor of coverage. However, the extensive bibliography of each chapter will help the interested readers to find suitable sources for the missing details. Each chapter of the handbook is intended to be a self-contained survey of a topic, and is written by one or more authors who are leading researchers in the area.The intended audience of the handbook is researchers, graduate students, higher-year undergraduates and practitioners who wish to learn about the state-of-the-art in constraint programming. No prior knowledge about the field is necessary to be able to read the chapters and gather useful knowledge. Researchers from other fields should find in this handbook an effective way to learn about constraint programming and to possibly use some of the constraint programming concepts and techniques in their work, thus providing a means for a fruitful cross-fertilization among different research areas.The handbook is organized in two parts. The first part covers the basic foundations of constraint programming, including the history, the notion of constraint propagation, basic search methods, global constraints, tractability and computational complexity, and important issues in modeling a problem as a constraint problem. The second part covers constraint languages and solver, several useful extensions to the basic framework (such as interval constraints, structured domains, and distributed CSPs), and successful application areas for constraint programming.- Covers the whole field of constraint programming- Survey-style chapters- Five chapters on applications

The best way to practice for the SAT Subject Tests in Mathematics Every year nearly 300,000 high school students take an SAT Subject TestTM in Mathematics Level 1 or Mathematics Level 2. Many selective colleges recommend or require them for admission or placement. The Official SAT Subject Tests Study Guide: For Mathematics Level 1 and Level 2 from The College Board is the only source of official questions and answer explanations for these exams, and it is the only guide developed by the test maker. In addition to two full-length, previously administered practice tests for each exam level, this book also contains complete solutions, answer explanations, and test-taking strategies.

The study of God, His nature, and His Word are all essential to the Christian faith. Now those interested in Christian theology have a newly revised and updated reference tool in the 25th Anniversary Edition of The Moody Handbook of Theology. In this classic and timeless one-volume resource, Paul Enns offers a comprehensive overview of the five dimensions of theology: biblical, systematic, historical, dogmatic, and contemporary. Each section includes an introduction, chapters on key points, specific studies pertinent to that theology, books for further study, and summary evaluations of each dimension. Charts, graphs, glossary, and indexes add depth and breadth. Theology, once the domain of academicians and learned pastors, is now accessible to anyone interested in understanding the essentials of what Christians believe. The Moody Handbook of Theology is a concise doctrinal reference tool for newcomers and seasoned veterans alike.