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/algorithmic 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.
As part of its mission to foster high-quality scientific and engineering research, the National Science Foundation (NSF) plans, grants, and administers major awards to universities and other research institutions for national research facilities, multidisciplinary research centers, and other large-scale research projects. Although few in number, less than 100, such projects account for about 30 percent of NSF's annual research budget. This book provides a useful overview of how such projects are planned, reviews proposals for merit, and evaluates ongoing projects for renewal awards. The panel makes a series of recommendations for strengthening major award decisionmaking.
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/algorithmic 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.
This volume contains the proceedings of the DIMACS/IEEE workshop on coding and quantization. The theme of the workshop was the application of discrete mathematics to reliable data transmission and source compression. These applications will become more significant in the coming years, with the advent of high-capacity cellular networks, personal communications devices, and the ``wireless office''. The articles are written by experts from industry and from academia. Requiring only a background in basic undergraduate mathematics, this book appeals to mathematicians interested in multidimensional Euclidean geometry (especially lattice theory), as well as to engineers interested in bandwidth efficient communication or vector quantization.
This volume contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitative and quantitative nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remained unanswered. This volume provides details and pointers to help answer some of these questions. Features: Research.
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