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<図書>
Basic proof theory

責任表示 A.S. Troelstra, H. Schwichtenberg
シリーズ Cambridge tracts in theoretical computer science ; 43
データ種別 図書
出版者 Cambridge ; New York : Cambridge University Press
出版年 1996
本文言語 英語
大きさ xi, 343 p. ; 24 cm
概要 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 area... 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. 続きを見る

所蔵情報

: hardback 理系図3F 数理独自 TROE/10/4 1996
023211996008660

書誌詳細

一般注記 Includes bibliographical references (p. 309-330) and index
著者標目 *Troelstra, A. S. (Anne Sjerp)
Schwichtenberg, Helmut, 1942-
件 名 LCSH:Proof theory
分 類 LCC:QA9.54
DC20:511.3
書誌ID 1001400372
ISBN 0521572231
NCID BA28275348
巻冊次 : hardback ; ISBN:0521572231
登録日 2009.11.02
更新日 2009.11.02

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