02696nam a22004098i 4500
ocm00000001camebacr9780511569883
UkCbUP
20151005020622.0
mod
cr
090520s1994enk o 1 0engd
9780511569883 (ebook)
9780521420273 (hardback)
9780521585330 (paperback)
UkCbUP
eng
rda
UkCbUP
QA9.65
.S53 1994
511.3/0285/53
20
Electronic book
Shankar, N.,
author.
Metamathematics, machines, and Gödel's proof /
N. Shankar.
Metamathematics, Machines & Gödel's Proof.
Cambridge :
Cambridge University Press,
1994.
1 online resource (xv, 202 pages) :
digital, PDF file(s).
text
txt
rdacontent.
computer
c
rdamedia.
online resource
cr
rdacarrier.
Cambridge tracts in theoretical computer science ;
38.
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Mathematicians from Leibniz to Hilbert have sought to mechanise the verification of mathematical proofs. Developments arising out of Gödel'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 Gödel's incompleteness theorem and the ChurchRosser theorem. The computer verification using the BoyerMoore 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 laboursaving devices to simplify proof construction. The book should be accessible to scientists and philosophers with some knowledge of logic and computing.
Gödel's theorem
Data processing.
Automatic theorem proving.
Cambridge EBA Collection.
Print version:
9780521420273.
Cambridge tracts in theoretical computer science ;
38.
https://ezproxy.mtsu.edu/login?url=https://doi.org/10.1017/CBO9780511569883
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