Basic proof theory
著者
書誌事項
Basic proof theory
（Cambridge tracts in theoretical computer science, 43）
Cambridge University Press, 1996
- : hardback
大学図書館所蔵 件 / 全38件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 309-330) and index
内容説明・目次
内容説明
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.
目次
- 1. Introduction
- 2. N-systems and H-systems
- 3. Gentzen systems
- 4. Cut elimination with applications
- 5. Refinements
- 6. Normalization for natural deduction
- 7. Resolution
- 8. Categorical logic
- 9. Some non-standard logics
- 10. Proof theory of first-order arithmetic
- 11. Second-order logic
- Bibliography
- Index.
「Nielsen BookData」 より
