Saturated models of universal theories
by
Jeremy Avigad
| Venue: | Annals of Pure and Applied Logic |
| Citations: | 7 - 3 self |
BibTeX
@ARTICLE{Avigad_saturatedmodels,
author = {Jeremy Avigad},
title = {Saturated models of universal theories},
journal = {Annals of Pure and Applied Logic},
year = {},
volume = {118},
pages = {2002}
}
OpenURL
Abstract
A notion called Herbrand saturation is shown to provide the modeltheoretic analogue of a proof-theoretic method, Herbrand analysis, yielding uniform model-theoretic proofs of a number of important conservation theorems. A constructive, algebraic variation of the method is described, providing yet a third approach, which is finitary but retains the semantic flavor of the model-theoretic version. 1







