PA we define the rfcursively saturated part of XU by RS(9Jl) = ( a E $1: ( 3 8 < YJ?) ( a E )%I and 8 is recursively saturated)). We shall study various possibilities for the relationship between 912 and RS(XU). Tliii paper has grown out of our observation that it may happen that , D is a simple ex
โฆ LIBER โฆ
An Introduction to Recursively Saturated and Resplendent Models
โ Scribed by Jon Barwise and John Schlipf
- Book ID
- 120594430
- Publisher
- Association for Symbolic Logic
- Year
- 1976
- Tongue
- English
- Weight
- 187 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2272253
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## Abstract In this paper we investigate the properties of automorphism groups of countable short recursively saturated models of arithmetic. In particular, we show that Kaye's Theorem concerning the closed normal subgroups of automorphism groups of countable recursively saturated models of arithme
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Let M be a countable recursively saturated model of PA and H an open subgroup of G = Aut(M). We prove that I ( H ) = sup{b E M : (3f E G \ H )