Due to an error in typesetting, the phrase 'propositional logic' has been changed to 'prepositional logic' in Section 2 (p. 221 and 222). In the proof of Lemma 6.1, the phrase 'propositional proof' has erroneously been changed to 'prepositional proof ' (p. 232). The publisher apologises for any in
β¦ LIBER β¦
Saturated models of universal theories
β Scribed by Jeremy Avigad
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 159 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
β¦ Synopsis
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 ΓΏnitary but retains the semantic avor of the model-theoretic version.
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