Logic for Computer Science: Foundations of Automatic Theorem Proving, 2/e (Paperback)
暫譯: 計算機科學邏輯:自動定理證明的基礎,第2版(平裝本)
Jean H. Gallier
- 出版商: Dover Publications
- 出版日期: 2015-06-18
- 售價: $1,350
- 貴賓價: 9.5 折 $1,283
- 語言: 英文
- 頁數: 528
- 裝訂: Paperback
- ISBN: 0486780821
- ISBN-13: 9780486780825
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相關分類:
數學、Computer-Science、Algorithms-data-structures
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相關主題
商品描述
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving.
Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
商品描述(中文翻譯)
這本針對本科生和研究生的進階教材介紹了數學邏輯,重點在於證明理論和算法構造正式證明的程序。這本自成一體的書籍對於計算機科學家和對證明的形式化及自動定理證明基礎感興趣的數學愛好者也非常有用。
主題包括命題邏輯及其解析、第一階邏輯、Gentzen 的切除消除定理及其應用,以及 Gentzen 的加強 Hauptsatz 和 Herbrand 定理。其他主題包括第一階邏輯中的解析;SLD-解析、邏輯程式設計及 PROLOG 的基礎;以及多排序的第一階邏輯。書中包含了大量的習題,並且有兩個附錄提供實用的背景資訊。
