Basic Proof Theory
Author : A. S. Troelstra
Publisher : Cambridge University Press
Total Pages : 436
Release : 2000-07-27
ISBN 10 : 0521779111
ISBN 13 : 9780521779111
Language : EN, FR, DE, ES & NL

Basic Proof Theory Book 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.


Basic Proof Theory
Language: en
Pages: 436
Authors: A. S. Troelstra
Categories: Computers
Type: BOOK - Published: 2000-07-27 - Publisher: Cambridge University Press

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order l
Basic Proof Theory
Language: en
Pages: 417
Authors: Anne Sjerp Troelstra
Categories: Proof theory
Type: BOOK - Published: 2000 - Publisher:

Introduction to proof theory and its applications in mathematical logic, theoretical computer science and artificial intelligence.
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Language: en
Pages: 306
Authors: Leeds Proof Theory Programme (1990 Leeds University)
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Type: BOOK - Published: 1992 - Publisher: Cambridge University Press

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Pages: 425
Authors: Reinhard Kahle
Categories: Mathematics
Type: BOOK - Published: 2016-05-04 - Publisher: Birkhäuser

The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss r
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Language: en
Pages: 374
Authors: Wolfram Pohlers
Categories: Mathematics
Type: BOOK - Published: 2008-10-01 - Publisher: Springer Science & Business Media

The kernel of this book consists of a series of lectures on in?nitary proof theory which I gave during my time at the Westfalische ̈ Wilhelms–Universitat ̈
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Pages: 431
Authors: Paolo Mancosu
Categories: Philosophy
Type: BOOK - Published: 2021 - Publisher: Oxford University Press

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid
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Language: en
Pages: 160
Authors: Hiroakira Ono
Categories: Philosophy
Type: BOOK - Published: 2019-08-02 - Publisher: Springer

This book offers a concise introduction to both proof-theory and algebraic methods, the core of the syntactic and semantic study of logic respectively. The impo
Proof Theory
Language: en
Pages: 388
Authors: Katalin Bimbo
Categories: Mathematics
Type: BOOK - Published: 2014-08-20 - Publisher: CRC Press

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Language: en
Pages: 246
Authors: Reinhard Kahle
Categories: Computers
Type: BOOK - Published: 2003-06-30 - Publisher: Springer

Proof theory has long been established as a basic discipline of mathematical logic. It has recently become increasingly relevant to computer science. The - duct
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Language: en
Pages: 810
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Categories: Mathematics
Type: BOOK - Published: 1998-07-09 - Publisher: Elsevier

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