Name: henkin-keisler models (en Inglés)
SKU: 3411301
Price: 54.22 USD
Availability: InStock
Author: weaver

portada henkin-keisler models (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

weaver

Idioma

Inglés

N° páginas

268

ISBN

0792343662

ISBN13

9780792343660

Categorías

Ciencias de la computación

henkin-keisler models (en Inglés)

Weaver (Autor) · Springer · Libro Físico

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Reseña del libro "henkin-keisler models (en Inglés)"

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 henkins 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.