Proof Theory and Logical Complexity: Vol. I (Studies in...

Proof Theory and Logical Complexity: Vol. I (Studies in Proof Theory)

Jean-Yves Girard
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Hardbound. This volume is the first in a series which will, in the future, be published jointly by Bibliopolis, Edizioni di Filosofia e Scienze spa, Napoli, and under the North-Holland imprint by Elsevier Science Publishers, Amsterdam.This is the first of a two-part work covering the main ideas and techniques of proof theory. This volume is introductory, starting with Hilbert (whose second problem in the famous list of problems of 1900 was the consistency of number theory), describing Hilbert's program and its demise at the hands of G?del. It then proceeds with Gentzen's result (the Hauptsatz is the main result of Part I) and improvements and generalizations to &ohgr;-logic.Volume II will cover more advanced logics.
Kategoriler:
Yıl:
1990
Dil:
english
Sayfalar:
502
ISBN 10:
8870881237
ISBN 13:
9788870881233
Dosya:
DJVU, 3.82 MB
IPFS:
CID , CID Blake2b
english, 1990
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