| 書目名稱 | Logic: a Brief Course | | 編輯 | Daniele Mundici | | 視頻video | http://file.papertrans.cn/589/588114/588114.mp4 | | 概述 | Mathematical logic.Mathematical minimal.Includes supplementary material: | | 叢書名稱 | UNITEXT | | 圖書封面 |  | | 描述 | This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic.A proof of G?del‘s completeness theorem and its main consequences is given using Robinson‘s completeness theorem and G?del‘s compactness theorem for propositionallogic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book isaccessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interestingto a wide range of students of philosophy and linguistics. | | 出版日期 | Textbook 2012 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-88-470-2361-1 | | isbn_softcover | 978-88-470-2360-4 | | isbn_ebook | 978-88-470-2361-1Series ISSN 2038-5714 Series E-ISSN 2532-3318 | | issn_series | 2038-5714 | | copyright | Springer Milan 2012 |
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