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Saturated Models of Universal Theories
journal contributionposted on 2001-01-01, 00:00 authored by Jeremy AvigadJeremy Avigad
A notion called Herbrand saturation is shown to provide the model-theoretic 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.