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
On Interstices of Countable Arithmetically Saturated Models of Peano Arithmetic
β Scribed by Nicholas Bamber; Henryk Kotlarski
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 887 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We give some information about the action of Aut(M) on M(0), where M is a countable arithmetically saturated model of Peano Arithmetic. We concentrate on analogues of moving gaps and covering gaps inside M(0).
π SIMILAR VOLUMES
## Abstract In this paper, we investigate definable models of Peano Arithmetic PA in a model of PA. For any definable model __N__ without parameters in a model __M__, we show that __N__ is isomorphic to __M__ if __M__ is elementary extension of the standard model and __N__ is elementarily equivalen
In this paper we study the automorphism groups of models of Peano Arithmetic. Kossak, Kotlarski, and Schmerl [9] shows that the stabilizer of an unbounded element a of a countable recursively saturated model of Peano Arithmetic M is a maximal subgroup of Aut(M ) if and only if the type of a is selec
## Abstract Let __M__ be a model of first order Peano arithmetic (**PA**) and __I__ an initial segment of __M__ that is closed under multiplication. Let__M__~0~ be the {0, 1,+}βreduct of__M__. We show that there is another model __N__ of **PA** that is also an expansion of __M__~0~ such that __a__
## Abstract This paper concerns intermediate structure lattices Lt(π©/β³οΈ), where π© is an almost minimal elementary end extension of the model β³οΈ of Peano Arithmetic. For the purposes of this abstract only, let us say that β³οΈ attains __L__ if __L__ β Lt(π©/β³οΈ) for some almost minimal elementary end ex