书目名称 | Logic for Applications | 编辑 | Anil Nerode,Richard A. Shore | 视频video | | 丛书名称 | Texts in Computer Science | 图书封面 |  | 描述 | In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical l | 出版日期 | Textbook 1997Latest edition | 关键词 | Algorithms; Automat; Syntax; automation; cardinality; cardinals; computability; computer; forcing; predicate | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4612-0649-1 | isbn_softcover | 978-1-4612-6855-0 | isbn_ebook | 978-1-4612-0649-1Series ISSN 1868-0941 Series E-ISSN 1868-095X | issn_series | 1868-0941 | copyright | Springer Science+Business Media New York 1997 |
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