书目名称 | Logic and Complexity | 编辑 | Richard Lassaigne,Michel Rougemont | 视频video | http://file.papertrans.cn/588/587954/587954.mp4 | 概述 | Includes exercises at end of each chapter.Authors website will be maintained for corrections, exercises, remarks and updates.Describes a logical approach to complexity theory, for computer scientists. | 丛书名称 | Discrete Mathematics and Theoretical Computer Science | 图书封面 |  | 描述 | .Logic and Complexity. looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of exercises, this book presents classical notions of mathematical logic, such as decidability, completeness and incompleteness, as well as new ideas brought by complexity theory such as NP-completeness, randomness and approximations, providing a better understanding for efficient algorithmic solutions to problems. ..Divided into three parts, it covers: ..- Model Theory and Recursive Functions - introducing the basic model theory of propositional, 1st order, inductive definitions and 2nd order logic. Recursive functions, Turing computability and decidability are also examined. ..- Descriptive Complexity - looking at the relationship between definitions of problems, queries, properties of programs and their computational complexity. ..- Approximation - explaining how some optimization problems and counting problems can be approximated according to their logical form. ..Logic is important in Computer Science, particularly for verification problems and database query languages such as SQL. Students and researchers in this field | 出版日期 | Book 2004 | 关键词 | Computer; SQL; algorithm; algorithms; complexity; complexity theory; computer science; database; logic; mathe | 版次 | 1 | doi | https://doi.org/10.1007/978-0-85729-392-3 | isbn_softcover | 978-1-4471-1052-1 | isbn_ebook | 978-0-85729-392-3 | copyright | Springer-Verlag London 2004 |
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