| 書目名稱 | First-Order Logic | | 編輯 | Raymond M. Smullyan | | 視頻video | http://file.papertrans.cn/344/343863/343863.mp4 | | 叢書名稱 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | | 圖書封面 |  | | 描述 | Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana- lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formu | | 出版日期 | Book 1968 | | 關(guān)鍵詞 | Finite; Mathematica; compactness theorem; logic; proof; theorem; variable | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-86718-7 | | isbn_softcover | 978-3-642-86720-0 | | isbn_ebook | 978-3-642-86718-7 | | copyright | Springer-Verlag Berlin · Heidelberg 1968 |
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