METAMATHEMATICS, MACHINES AND GODEL'S PROOF by N. Shankar, C. J. Van Rijsbergen, S. Abramsky ( 9780521585330 )

Item Details

Title:

METAMATHEMATICS, MACHINES AND GODEL'S PROOF

By:

N. Shankar, C. J. Van Rijsbergen, S. Abramsky

Format:

Paperback

List price:

£45.00

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£40.50

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10% off

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£4.50

ISBN 10:

0521585333

ISBN 13:

9780521585330

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

30 January, 1997

Series:

Cambridge Tracts in Theoretical Computer Science No.38

Pages:

220

Description:

Describes the use of computer programs to check several proofs in the foundations of mathematics.

Synopsis:

Mathematicians from Leibniz to Hilbert have sought to mechanise the verification of mathematical proofs. Developments arising out of Godel's proof of his incompleteness theorem showed that no computer program could automatically prove true all the theorems of mathematics. In practice, however, there are a number of sophisticated automated reasoning programs that are quite effective at checking mathematical proofs. Now in paperback, this book describes the use of a computer program to check the proofs of several celebrated theorems in metamathematics including Godel's incompleteness theorem and the Church-Rosser theorem. The computer verification using the Boyer-Moore theorem prover yields precise and rigorous proofs of these difficult theorems. It also demonstrates the range and power of automated proof checking technology. The mechanisation of metamathematics itself has important implications for automated reasoning since metatheorems can be applied by labour-saving devices to simplify proof construction. The book should be accessible to scientists and philosophers with some knowledge of logic and computing.

Illustrations:

4 b/w illus.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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