Henkin-Keisler Models (Hardcover, 1997 ed.)

Henkin-Keisler models emanate from a modification of the Henkin construction introduced by Keisler to motivate the definition of ultraproducts. Keisler modified the Henkin construction at that point at which `new' individual constants are introduced and did so in a way that illuminates a connection between Henkin-Keisler models and ultraproducts. The resulting construction can be viewed both as a specialization of the Henkin construction and as an alternative to the ultraproduct construction. These aspects of the Henkin-Keisler construction are utilized here to present a perspective on ultraproducts and their applications accessible to the reader familiar with Henkin's proof of the completeness of first order logic and naive set theory. This approach culminates in proofs of various forms of the Keisler-Shelah characterizations of elementary equivalence and elementary classes via Henkin-Keisler models. The presentation is self-contained and proofs of more advanced results from set theory are introduced as needed. Audience: Logicians in philosophy, computer science, linguistics and mathematics.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 392
Release date:	2001
First published:	1997
Authors:	George Weaver
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	258
Edition:	1997 ed.
ISBN-13:	978-0-7923-4366-0
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
LSN:	0-7923-4366-2
Barcode:	9780792343660

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