Basic Proof Theory pdf epub mobi txt 電子書下載2025

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出版者:Cambridge University Press

作者:A. S. Troelstra

出品人:

頁數:432

译者:

出版時間:2000-7-31

價格:USD 49.00

裝幀:Paperback

isbn號碼:9780521779111

叢書系列:Cambridge Tracts in Theoretical Computer Science

圖書標籤:

數學
邏輯學
證明論
計算機軟件和理論
計算機
MathematicalLogic
Math
Logic

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This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.