Science/Engineering Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science) (0521572231)

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Science/Engineering Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)

Posted on 2010-03-15

Name:	Science/Engineering Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)
ASIN/ISBN:	0521572231
Language:	English
File size:	25 Mb

Science/Engineering Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)

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Publisher: Cambridge University Press

Language: English

ISBN: 0521572231

Paperback: 355 pages

Data: September 13, 1996

Format: PDF

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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