ENGLISH

Basic Proof Theory

By A. S. Troelstra , H. Schwichtenberg

Book information

Publisher
Cambridge University Press
Year
1996
ISBN
0521572231, 9780521572231
Language
english
Format
PDF
Filesize
25 MB (25874050 bytes)
Series
Cambridge Tracts in Theoretical Computer Science
Pages
178\178
Topic
Mathematics Logic
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

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.

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